diff --git a/NonLinearSolver/Domain/partDomain.cpp b/NonLinearSolver/Domain/partDomain.cpp
index 6514ac817d9c9966160df46a5d3061de5af4e9be..3616355aae3248db67a20c24bab16a9582d2580f 100644
--- a/NonLinearSolver/Domain/partDomain.cpp
+++ b/NonLinearSolver/Domain/partDomain.cpp
@@ -30,6 +30,7 @@ _fullDg(fdg),
 _nlNonLocal(false),
 btermBulk(NULL),
 btermElasticBulk(NULL),
+btermUndamagedElasticBulk(NULL),
 massterm(NULL),
 ltermBulk(NULL),
 integBulk(NULL),
@@ -82,6 +83,7 @@ _nlNonLocal(source._nlNonLocal),
 _wsp(source._wsp),
 btermBulk(NULL),
 btermElasticBulk(NULL),
+btermUndamagedElasticBulk(NULL),
 massterm(NULL),
 ltermBulk(NULL),
 integBulk(NULL),
@@ -120,6 +122,7 @@ partDomain::~partDomain(){
   if (ltermBulk) {delete ltermBulk; ltermBulk = NULL;}
   if (integBulk) {delete integBulk; integBulk = NULL;}
   if (btermElasticBulk) {delete btermElasticBulk; btermElasticBulk = NULL;};
+  if (btermUndamagedElasticBulk) {delete btermUndamagedElasticBulk; btermUndamagedElasticBulk=NULL;}
   if (massterm) {delete massterm; massterm = NULL;}
   if (btermTangent) {delete btermTangent; btermTangent= NULL;};
   if (btermBodyForceTangent) {delete btermBodyForceTangent; btermBodyForceTangent= NULL;};
diff --git a/NonLinearSolver/Domain/partDomain.h b/NonLinearSolver/Domain/partDomain.h
index 75762d54e671e66c432c9f20d2f2c536348987e6..31eb41c9673bf2f1ae464a26b8cc456e9ada87a1 100644
--- a/NonLinearSolver/Domain/partDomain.h
+++ b/NonLinearSolver/Domain/partDomain.h
@@ -43,6 +43,7 @@ class partDomain
     functionSpaceType::whichSpace _wsp;
     BilinearTermBase* btermBulk;
     BilinearTermBase* btermElasticBulk;
+    BilinearTermBase* btermUndamagedElasticBulk;
     BilinearTermBase* massterm;
     LinearTermBase<double>* ltermBulk;
     QuadratureBase* integBulk;
@@ -149,6 +150,7 @@ class partDomain
     
     BilinearTermBase* getBilinearBulkTerm() const{return btermBulk;}
     BilinearTermBase* getBilinearElasticBulkTerm() const{return btermElasticBulk;}
+    BilinearTermBase* getUndamagedBilinearElasticBulkTerm() const{return btermUndamagedElasticBulk;}
     BilinearTermBase* getBilinearMassTerm() const{return massterm;}
     BilinearTermBase* getBilinearTangentTerm() const{return btermTangent;}
     BilinearTermBase* getBilinearBodyForceTangentTerm() const{return btermBodyForceTangent;}
diff --git a/NonLinearSolver/internalPoints/ipAnisotropicPlasticity.h b/NonLinearSolver/internalPoints/ipAnisotropicPlasticity.h
index be8ee5acad399a47ed431a42aac725b3b365d7ed..fab57314b8df21a982eb85c9bb77f4491ed68801 100644
--- a/NonLinearSolver/internalPoints/ipAnisotropicPlasticity.h
+++ b/NonLinearSolver/internalPoints/ipAnisotropicPlasticity.h
@@ -16,19 +16,71 @@
 
 class IPAnisotropicPlasticity : public IPJ2linear 
 {
+  protected:
+    const STensor3* _F; // pointer to deformation gradient 
+    STensor3 _Ep;
+    STensor43 _anisotropicMatrix;
+    STensor63 _DanisotropicMatrixDF;
+    STensor63 _DanisotropicMatrixDEp;
+
   public:
-    IPAnisotropicPlasticity(): IPJ2linear(){};
-    IPAnisotropicPlasticity(const J2IsotropicHardening *j2IH): IPJ2linear(j2IH){};
-    IPAnisotropicPlasticity(const IPAnisotropicPlasticity &source): IPJ2linear(source){};
+    IPAnisotropicPlasticity(): IPJ2linear(), _F(NULL), _Ep(0), 
+                        _anisotropicMatrix(0), _DanisotropicMatrixDF(0.), _DanisotropicMatrixDEp(0.){};
+    IPAnisotropicPlasticity(const J2IsotropicHardening *j2IH): IPJ2linear(j2IH), _F(NULL), _Ep(0), 
+                        _anisotropicMatrix(0), _DanisotropicMatrixDF(0.), _DanisotropicMatrixDEp(0.){};
+    IPAnisotropicPlasticity(const IPAnisotropicPlasticity &source): IPJ2linear(source), _F(NULL), _Ep(source._Ep),
+                        _anisotropicMatrix(source._anisotropicMatrix), _DanisotropicMatrixDF(source._DanisotropicMatrixDF), 
+                        _DanisotropicMatrixDEp(source._DanisotropicMatrixDEp){};
     virtual IPAnisotropicPlasticity& operator=(const IPVariable &source)
     {
       IPJ2linear::operator =(source);
+      _F = NULL;
+      const IPAnisotropicPlasticity* psrc = dynamic_cast<const IPAnisotropicPlasticity*>(&source);
+      if (psrc != NULL)
+      {
+        _Ep = psrc->_Ep;
+        _anisotropicMatrix = psrc->_anisotropicMatrix;
+        _DanisotropicMatrixDF = psrc->_DanisotropicMatrixDF;
+        _DanisotropicMatrixDEp = psrc->_DanisotropicMatrixDEp;
+      }
       return *this;
     }
     virtual ~IPAnisotropicPlasticity()
     {
       
     }
+     virtual void setRefToDeformationGradient(const STensor3& F)
+    {
+      _F = &F;
+    }
+    virtual const STensor3& getConstRefToDeformationGradient() const
+    {
+      if (_F == NULL) Msg::Error("IPAnisotropicPlasticity::setRefToDeformationGradient must be called before getting value");
+      return *_F;
+    };
+    
+    virtual const STensor3& getConstRefToPlasticDeformationTensor() const {return _Ep;}
+    virtual STensor3& getRefToPlasticDeformationTensor() {return _Ep;}
+    
+    virtual const STensor43& getConstRefToAnisotropicTensor() const {return _anisotropicMatrix;};
+    virtual STensor43& getRefToAnisotropicTensor() {return _anisotropicMatrix;};
+    
+    virtual const STensor63& getConstRefToDAnisotropicTensorDF() const {return _DanisotropicMatrixDF;};
+    virtual STensor63& getRefToDAnisotropicTensorDF() {return _DanisotropicMatrixDF;};
+    
+    virtual const STensor63& getConstRefToDAnisotropicTensorDEp() const {return _DanisotropicMatrixDEp;};
+    virtual STensor63& getRefToDAnisotropicTensorDEp() {return _DanisotropicMatrixDEp;};
+    
+    virtual void restart()
+    {
+      IPJ2linear::restart();
+      _F = NULL;
+      restartManager::restart(_Ep);
+      restartManager::restart(_anisotropicMatrix);
+      restartManager::restart(_DanisotropicMatrixDF);
+      restartManager::restart(_DanisotropicMatrixDEp);
+    }
+    
     virtual IPVariable* clone() const {return new IPAnisotropicPlasticity(*this);};
 };
 
diff --git a/NonLinearSolver/internalPoints/ipField.cpp b/NonLinearSolver/internalPoints/ipField.cpp
index cad06a1bdb708f3a9e133d133d7ee0a5286b3dd7..2926a01bd5aec493934df7e26acaf16af9c6d49b 100644
--- a/NonLinearSolver/internalPoints/ipField.cpp
+++ b/NonLinearSolver/internalPoints/ipField.cpp
@@ -691,10 +691,12 @@ std::string IPField::ToString(const int i){
   else if (i == THERMALFLUX_X) return "THERMALFLUX_X";
   else if (i == THERMALFLUX_Y) return "THERMALFLUX_Y";
   else if (i == THERMALFLUX_Z) return "THERMALFLUX_Z";
+  else if (i == THERMALSOURCE) return "THERMALSOURCE";
   else if (i == VOLTAGE) return "VOLTAGE";
   else if (i == ELECTRICALFLUX_X) return "ELECTRICALFLUX_X";
   else if (i == ELECTRICALFLUX_Y) return "ELECTRICALFLUX_Y";
   else if (i == ELECTRICALFLUX_Z) return "ELECTRICALFLUX_Z";
+  else if (i == ELECTRICALSOURCE) return "ELECTRICALSOURCE";
   else if (i == MAGNETICVECTORPOTENTIAL_X) return "MAGNETICVECTORPOTENTIAL_X";
   else if (i == MAGNETICVECTORPOTENTIAL_Y) return "MAGNETICVECTORPOTENTIAL_Y";
   else if (i == MAGNETICVECTORPOTENTIAL_Z) return "MAGNETICVECTORPOTENTIAL_Z";
@@ -1041,6 +1043,16 @@ std::string IPField::ToString(const int i){
   else if (i == corKir_XY) return "corKir_XY";
   else if (i == corKir_XZ) return "corKir_XZ";
   else if (i == corKir_YZ) return "corKir_YZ";
+  else if (i == mandel_XX) return "mandel_XX";
+  else if (i == mandel_YY) return "mandel_YY";
+  else if (i == mandel_ZZ) return "mandel_ZZ";
+  else if (i == mandel_XY) return "mandel_XY";
+  else if (i == mandel_XZ) return "mandel_XZ";
+  else if (i == mandel_YZ) return "mandel_YZ";
+  else if (i == mandel_YX) return "mandel_YX";
+  else if (i == mandel_ZX) return "mandel_ZX";
+  else if (i == mandel_ZY) return "mandel_ZY";
+  else if (i == mandelCommuteChecker) return "mandelCommuteChecker";
   else if (i == corKirExtra_XX) return "corKirExtra_XX";
   else if (i == corKirExtra_YY) return "corKirExtra_YY";
   else if (i == corKirExtra_ZZ) return "corKirExtra_ZZ";
diff --git a/NonLinearSolver/internalPoints/ipField.h b/NonLinearSolver/internalPoints/ipField.h
index 9804de242a5b0f85fc8ddbf05bd849c3b8512d69..55ec5a4d416a01ea67f67fc502d98553aa11fa43 100644
--- a/NonLinearSolver/internalPoints/ipField.h
+++ b/NonLinearSolver/internalPoints/ipField.h
@@ -261,7 +261,7 @@ class IPField : public elementsField {
                     MTX_SVM,MTX_SIG_XX,MTX_SIG_YY,MTX_SIG_ZZ,MTX_SIG_XY,MTX_SIG_YZ,MTX_SIG_XZ,
                     INC_SVM,INC_SIG_XX,INC_SIG_YY,INC_SIG_ZZ,INC_SIG_XY,INC_SIG_YZ,INC_SIG_XZ,
                     TEMPERATURE,THERMALFLUX_X,THERMALFLUX_Y,THERMALFLUX_Z,THERMALSOURCE,
-                    VOLTAGE,ELECTRICALFLUX_X,ELECTRICALFLUX_Y,ELECTRICALFLUX_Z,
+                    VOLTAGE,ELECTRICALFLUX_X,ELECTRICALFLUX_Y,ELECTRICALFLUX_Z,ELECTRICALSOURCE,
                     LOCAL_POROSITY, NONLOCAL_POROSITY, CORRECTED_POROSITY, YIELD_POROSITY,
                     NUCLEATED_POROSITY_TOT, NUCLEATED_POROSITY_0, NUCLEATED_POROSITY_1, NUCLEATED_POROSITY_2,
                     NUCLEATION_ONSET_0, NUCLEATION_ONSET_1, NUCLEATION_ONSET_2,
@@ -323,7 +323,7 @@ class IPField : public elementsField {
                     Ee_XX, Ee_YY,  Ee_ZZ, Ee_XY, Ee_XZ, Ee_YZ,
                     Eve1_XX, Eve1_YY,  Eve1_ZZ, Eve1_XY, Eve1_XZ, Eve1_YZ,
                     Eve2_XX, Eve2_YY,  Eve2_ZZ, Eve2_XY, Eve2_XZ, Eve2_YZ,
-                    corKir_XX, corKir_YY, corKir_ZZ, corKir_XY, corKir_XZ, corKir_YZ,
+                    corKir_XX, corKir_YY, corKir_ZZ, corKir_XY, corKir_XZ, corKir_YZ, mandel_XX, mandel_YY, mandel_ZZ, mandel_XY, mandel_XZ, mandel_YZ, mandel_YX, mandel_ZX, mandel_ZY, mandelCommuteChecker,
                     corKirExtra_XX, corKirExtra_YY, corKirExtra_ZZ, corKirExtra_XY, corKirExtra_XZ, corKirExtra_YZ,
                     Dev_corKir_Inf_XX, Dev_corKir_Inf_YY, Dev_corKir_Inf_ZZ, Dev_corKir_Inf_XY, Dev_corKir_Inf_XZ, Dev_corKir_Inf_YZ, Tr_corKir_Inf,
                     hyperElastic_BulkScalar,hyperElastic_ShearScalar,
diff --git a/NonLinearSolver/internalPoints/ipHyperelastic.cpp b/NonLinearSolver/internalPoints/ipHyperelastic.cpp
index 80e933732a4f4bbb42238953287a40a25a6707fd..dfabd5fc5a4c9b501aff7ec2b19f4d318985d4ef 100644
--- a/NonLinearSolver/internalPoints/ipHyperelastic.cpp
+++ b/NonLinearSolver/internalPoints/ipHyperelastic.cpp
@@ -15,14 +15,15 @@
 
 IPHyperViscoElastic::IPHyperViscoElastic(const int N):IPVariableMechanics(),_N(N),_elasticEnergy(0.),_Ee(0.),_kirchhoff(0.),
       _irreversibleEnergy(0.),_DirreversibleEnergyDF(0.), _viscousEnergyPart(0.), _dElasticEnergyPartdF(0.), _dViscousEnergyPartdF(0.), _elasticBulkPropertyScaleFactor(1.), _elasticShearPropertyScaleFactor(1.),
-	  _intA(0.), _intB(0.), _DintA(0.), _DintB(0.)
+	  _intA(0.), _intB(0.), _DintA(0.), _DintB(0.), _Re(0.), _Re0(0.), _Ee0(0.)
 {
-  _A.clear();
+  _A.clear(); _A_rot.clear();
   _B.clear();
   _psi_branch.clear();
   for (int i=0; i< N; i++){
     STensor3 el(0.);
     _A.push_back(el);
+    _A_rot.push_back(el);
     _B.push_back(0.);
     _psi_branch.push_back(0.);
   }
@@ -32,7 +33,7 @@ IPHyperViscoElastic::IPHyperViscoElastic(const IPHyperViscoElastic& src): IPVari
     _irreversibleEnergy(src._irreversibleEnergy),_DirreversibleEnergyDF(src._DirreversibleEnergyDF),
     _viscousEnergyPart(src._viscousEnergyPart), _dElasticEnergyPartdF(src._dElasticEnergyPartdF), 
     _dViscousEnergyPartdF(src._dViscousEnergyPartdF), _elasticBulkPropertyScaleFactor(src._elasticBulkPropertyScaleFactor), _elasticShearPropertyScaleFactor(src._elasticShearPropertyScaleFactor),
-	_intA(src._intA),_intB(src._intB), _psi_branch(src._psi_branch), _DintA(src._DintA),_DintB(src._DintB)
+	_intA(src._intA),_intB(src._intB), _psi_branch(src._psi_branch), _DintA(src._DintA),_DintB(src._DintB), _A_rot(src._A_rot), _Re(src._Re), _Re0(src._Re0), _Ee0(src._Ee0)
 
 {
 
@@ -60,6 +61,10 @@ IPHyperViscoElastic& IPHyperViscoElastic::operator =(const IPVariable& src){
     _DintA= psrc->_DintA;
     _DintB= psrc->_DintB;
     _psi_branch= psrc->_psi_branch;
+    _A_rot=psrc->_A_rot;
+    _Re=psrc->_Re;
+    _Re0=psrc->_Re0;
+    _Ee0=psrc->_Ee0;
   }
   return *this;
 };
@@ -84,6 +89,10 @@ void IPHyperViscoElastic::restart() {
   restartManager::restart(_DintA);
   restartManager::restart(_DintB);
   restartManager::restart(_psi_branch);
+  restartManager::restart(_A_rot);
+  restartManager::restart(_Re);
+  restartManager::restart(_Re0);
+  restartManager::restart(_Ee0);
 };
 
 void IPHyperViscoElastic::getViscoElasticStrain(int i, STensor3& Ev) const
diff --git a/NonLinearSolver/internalPoints/ipHyperelastic.h b/NonLinearSolver/internalPoints/ipHyperelastic.h
index e1ccba37b8d58702163381fc7aaf4aa286c91424..5ec1b777bb9234638dba16c5c106bcd665de384c 100644
--- a/NonLinearSolver/internalPoints/ipHyperelastic.h
+++ b/NonLinearSolver/internalPoints/ipHyperelastic.h
@@ -20,11 +20,14 @@ class IPHyperViscoElastic : public IPVariableMechanics{
   public:
     //viscoelastic history
     int _N; // number spring-Dashpot of element
-    std::vector<STensor3> _A; // N elements
+    std::vector<STensor3> _A, _A_rot; // N elements
     std::vector<double> _B; // N elements
     double _elasticEnergy; // elastic energy stored
     STensor3 _Ee; // elastic strain
     STensor3 _kirchhoff; // corotational Kirchhoff stress
+    STensor3 _Re; // rotation tensor: Fe = Re . Ue
+    STensor3 _Re0; // rotation tensor: Fe0 = Re0 . Ue0
+    STensor3 _Ee0; // rotation tensor: Fe0 = Re0 . Ue0
 
     double _irreversibleEnergy;
     STensor3 _DirreversibleEnergyDF;
diff --git a/NonLinearSolver/internalPoints/ipNonLinearTVM.cpp b/NonLinearSolver/internalPoints/ipNonLinearTVM.cpp
index be3d6fa710da72276bb524fffa4f80dee755e31a..2add8a286b6acb57644da770eb524c9b0daa8e65 100644
--- a/NonLinearSolver/internalPoints/ipNonLinearTVM.cpp
+++ b/NonLinearSolver/internalPoints/ipNonLinearTVM.cpp
@@ -21,7 +21,8 @@ IPNonLinearTVM::IPNonLinearTVM(const J2IsotropicHardening* comp,
                      _psiMax(0.), _mullinsDamage(0.), _DpsiDT(0.), _DpsiDE(0.), _DmullinsDamage_Dpsi_cap(0.), _DmullinsDamage_DT(0.), _P_cap(0.),
                      _pressure(0.), _Av_TVE(1.), _Bd_TVE(1.), _dAv_dTrEe(0.), _dBd_dTrEe(0.), _dAv_dTrEe_TVE(0.), _intAv_TVE(0.), _intBd_TVE(0.), 
                      _intAv_1_TVE(0.), _intBd_1_TVE(0.), _intAv_2_TVE(0.), _intBd_2_TVE(0.), _dBd_dDevEe(0.), _dBd_dDevEe_TVE(0.),
-                     _viscousDissipatedEnergy(0.), _mullinsDissipatedEnergy(0.), _psiInfCorrector(0.){
+                     _viscousDissipatedEnergy(0.), _mullinsDissipatedEnergy(0.), _psiInfCorrector(0.), _ModMandel(0.), _mandelCommuteChecker(0.),
+					 _R(0.),_dRdEe(0.),_dRtdEe(0.){
         
     _DA_DT.clear(); _DDA_DTT.clear(); 
     _DA_DtrE.clear(); _DDA_DTDtrE.clear();
@@ -80,7 +81,8 @@ IPNonLinearTVM::IPNonLinearTVM(const IPNonLinearTVM& src): IPHyperViscoElastoPla
             _Av_TVE_vector(src._Av_TVE_vector), _Bd_TVE_vector(src._Bd_TVE_vector), _dAv_dTrEe_TVE_vector(src._dAv_dTrEe_TVE_vector), _dBd_dTrEe_TVE_vector(src._dBd_dTrEe_TVE_vector),
             _intAv_TVE_vector(src._intAv_TVE_vector), _intBd_TVE_vector(src._intBd_TVE_vector),_DintAv_TVE_vector(src._DintAv_TVE_vector), _DintBd_TVE_vector(src._DintBd_TVE_vector),
 			_dBd_dDevEe_TVE_vector(src._dBd_dDevEe_TVE_vector),
-            _viscousDissipatedEnergy(src._viscousDissipatedEnergy), _mullinsDissipatedEnergy(src._mullinsDissipatedEnergy), _psiInfCorrector(src._psiInfCorrector){
+            _viscousDissipatedEnergy(src._viscousDissipatedEnergy), _mullinsDissipatedEnergy(src._mullinsDissipatedEnergy), _psiInfCorrector(src._psiInfCorrector),
+			_ModMandel(src._ModMandel), _mandelCommuteChecker(src._mandelCommuteChecker),_R(src._R),_dRdEe(src._dRdEe),_dRtdEe(src._dRtdEe){
                 
     if (src._ipMullinsEffect != NULL)
         _ipMullinsEffect = dynamic_cast<IPMullinsEffect*>(src._ipMullinsEffect->clone());
@@ -153,6 +155,11 @@ IPNonLinearTVM& IPNonLinearTVM::operator=(const IPVariable& src)
     _viscousDissipatedEnergy = psrc->_viscousDissipatedEnergy;
     _mullinsDissipatedEnergy = psrc->_mullinsDissipatedEnergy;
     _psiInfCorrector = psrc->_psiInfCorrector;
+    _ModMandel = psrc->_ModMandel;
+    _mandelCommuteChecker = psrc->_mandelCommuteChecker;
+    _R = psrc->_R;
+    _dRdEe = psrc->_dRdEe;
+    _dRtdEe = psrc->_dRtdEe;
     
     if ( psrc->_ipMullinsEffect != NULL) {
       if (_ipMullinsEffect == NULL){
@@ -239,6 +246,11 @@ void IPNonLinearTVM::restart(){
   restartManager::restart(_viscousDissipatedEnergy);
   restartManager::restart(_mullinsDissipatedEnergy);
   restartManager::restart(_psiInfCorrector);
+  restartManager::restart(_ModMandel);
+  restartManager::restart(_mandelCommuteChecker);
+  restartManager::restart(_R);
+  restartManager::restart(_dRdEe);
+  restartManager::restart(_dRtdEe);
   
   if (_ipMullinsEffect != NULL)
    restartManager::restart(_ipMullinsEffect);
diff --git a/NonLinearSolver/internalPoints/ipNonLinearTVM.h b/NonLinearSolver/internalPoints/ipNonLinearTVM.h
index 755f0cdd36d5d89c68c2e58fa3701882acad9aa9..0d77fe80ea600c632c1f7aa3d8df92d21946524e 100644
--- a/NonLinearSolver/internalPoints/ipNonLinearTVM.h
+++ b/NonLinearSolver/internalPoints/ipNonLinearTVM.h
@@ -30,6 +30,10 @@ class IPNonLinearTVM : public IPHyperViscoElastoPlastic{
         double _DmechSrcTVEdT;
         STensor3 _DmechSrcTVEdE;
         
+        // mandel and commuteChecker
+        STensor3 _ModMandel;
+        double _mandelCommuteChecker;
+
         // CorKir - Inf and extraBranch TVE
         double _trCorKirinf_TVE;
         STensor3 _devCorKirinf_TVE;
@@ -74,6 +78,11 @@ class IPNonLinearTVM : public IPHyperViscoElastoPlastic{
         double _viscousDissipatedEnergy;
         double _mullinsDissipatedEnergy;
         
+        // Rotation tensors & derivatives
+        STensor3 _R;
+        STensor43 _dRdEe, _dRtdEe;
+
+
     public:
         IPNonLinearTVM(const J2IsotropicHardening* comp,
                     const J2IsotropicHardening* trac,
diff --git a/NonLinearSolver/internalPoints/ipNonLinearTVP.cpp b/NonLinearSolver/internalPoints/ipNonLinearTVP.cpp
index aec94de8f42fb64858adc4c1ded5468450f67901..79f7847a74c358e5f607c4fdc858e8edbc9b5553 100644
--- a/NonLinearSolver/internalPoints/ipNonLinearTVP.cpp
+++ b/NonLinearSolver/internalPoints/ipNonLinearTVP.cpp
@@ -15,7 +15,7 @@ IPNonLinearTVP::IPNonLinearTVP(const J2IsotropicHardening* comp, const J2Isotrop
                                 const kinematicHardening* kin, const int N, const mullinsEffect* mullins):IPNonLinearTVM(comp,trac,kin,N,mullins),
                                 _DgammaDT(0.),_DGammaDT(0.), _DGammaDF(0.), _DirreversibleEnergyDT(0.),
                                 _psiTVM(0.), _DpsiTVMdT(0.), _DDpsiTVMdTT(0.),
-                                _ModMandel(0.),_DModMandelDT(0.), _DbackSigDT(0.), _DModMandelDF(0.), _DbackSigDF(0.), _DphiPDF(0.), _GammaN(0.), _dGammaNdT(0.), _dGammaNdF(0.),
+								_DModMandelDT(0.), _DbackSigDT(0.), _DModMandelDF(0.), _DbackSigDF(0.), _DphiPDF(0.), _GammaN(0.), _dGammaNdT(0.), _dGammaNdF(0.),
                                 _mechSrcTVP(0.),_DmechSrcTVPdT(0.),_DmechSrcTVPdF(0.),
                                 _dPlasticEnergyPartdT(0.),_dElasticEnergyPartdT(0.),_dViscousEnergyPartdT(0.),
                                 _IsoHardForce_simple(0.), _dIsoHardForcedT_simple(0.), _dIsoHardForcedF_simple(0.), _DphiDF(0.),_DphiDT(0.)
@@ -38,7 +38,7 @@ IPNonLinearTVP::IPNonLinearTVP(const IPNonLinearTVP& src):IPNonLinearTVM(src),
                                 _ddIsoHardForcedTT(src._ddIsoHardForcedTT),
                                 _psiTVM(src._psiTVM), _DpsiTVMdT(src._DpsiTVMdT), _DDpsiTVMdTT(src._DDpsiTVMdTT),
                                 _mechSrcTVP(src._mechSrcTVP),_DmechSrcTVPdT(src._DmechSrcTVPdT),_DmechSrcTVPdF(src._DmechSrcTVPdF),
-                                _ModMandel(src._ModMandel), _DModMandelDT(src._DModMandelDT), _DbackSigDT(src._DbackSigDT), _DphiPDF(src._DphiPDF),
+                                _DModMandelDT(src._DModMandelDT), _DbackSigDT(src._DbackSigDT), _DphiPDF(src._DphiPDF),
                                 _GammaN(src._GammaN), _dGammaNdT(src._dGammaNdT), _dGammaNdF(src._dGammaNdF),
                                 _DModMandelDF(src._DModMandelDF), _DbackSigDF(src._DbackSigDF),
                                 _dPlasticEnergyPartdT(src._dPlasticEnergyPartdT),_dElasticEnergyPartdT(src._dElasticEnergyPartdT),
@@ -69,7 +69,6 @@ IPNonLinearTVP& IPNonLinearTVP::operator =(const IPVariable &source){
     _mechSrcTVP = ps->_mechSrcTVP;
     _DmechSrcTVPdT = ps->_DmechSrcTVPdT;
     _DmechSrcTVPdF = ps->_DmechSrcTVPdF;
-    _ModMandel = ps->_ModMandel;
     _DModMandelDT = ps->_DModMandelDT;
     _DModMandelDF = ps->_DModMandelDF;
     _DbackSigDT = ps->_DbackSigDT;
@@ -111,7 +110,6 @@ void IPNonLinearTVP::restart() {
   restartManager::restart(_mechSrcTVP);
   restartManager::restart(_DmechSrcTVPdT);
   restartManager::restart(_DmechSrcTVPdF);
-  restartManager::restart(_ModMandel);
   restartManager::restart(_DModMandelDT);
   restartManager::restart(_DModMandelDF);
   restartManager::restart(_DbackSigDT);
diff --git a/NonLinearSolver/internalPoints/ipNonLinearTVP.h b/NonLinearSolver/internalPoints/ipNonLinearTVP.h
index 8cc1e9aed6195f5003e2f9345e44321baec0b579..750c5bb400b4a38a029cef3a1a4ae8541f39d9cf 100644
--- a/NonLinearSolver/internalPoints/ipNonLinearTVP.h
+++ b/NonLinearSolver/internalPoints/ipNonLinearTVP.h
@@ -39,7 +39,6 @@ class IPNonLinearTVP : public IPNonLinearTVM{
         double _DDpsiTVMdTT; 
         
         STensor3 _DGammaDF;
-        STensor3 _ModMandel;
         STensor3 _DModMandelDT;
         STensor3 _DbackSigDT;
         STensor3 _DphiDT;
diff --git a/NonLinearSolver/internalPoints/ipNonLocalPorosity.cpp b/NonLinearSolver/internalPoints/ipNonLocalPorosity.cpp
index 612b94ca8306e3c6ecda88945f492f0645846a98..3d690f7c75c9a72087065de6b509384ddbc47d78 100644
--- a/NonLinearSolver/internalPoints/ipNonLocalPorosity.cpp
+++ b/NonLinearSolver/internalPoints/ipNonLocalPorosity.cpp
@@ -22,7 +22,8 @@ IPNonLocalPorosity::IPNonLocalPorosity() : IPVariableMechanics(),  _elasticEnerg
                                                   _failed(false), _hatq(0.),_nonlocalEplmatrix(0.),_nonlocalHatQ(0.), _fVinitial(0.),
                                                   _eplMacro(0.), _eplMacroNonLocal(0.), _lnfV(0.),_lnfVtilde(0.), _T(288.), _dissipationActive(false),
                                                   _thermalEnergy(0.),_ThermoElasticCoupling(0.), _DplasticEnergyDEplmatrix(0.),
-                                                  _successFlag(true)
+                                                  _successFlag(true),
+                                                  _anisotropicMatrix(0), _DanisotropicMatrixDF(0.), _DanisotropicMatrixDEp(0.)
 {
   // Default constructor without arguments is forbiden as it is incorrect and incomplete
   ipvJ2IsotropicHardening=NULL;
@@ -50,7 +51,7 @@ IPNonLocalPorosity::IPNonLocalPorosity(double fVinitial, const J2IsotropicHarden
        _corKir(0.),_failed(false),_hatq(0.),_nonlocalEplmatrix(0.),_nonlocalHatQ(0.), _fVinitial(fVinitial),
        _eplMacro(0.),_eplMacroNonLocal(0.),  _lnfV(0.),_lnfVtilde(0.),_T(288.), _dissipationActive(false),
        _thermalEnergy(0.),_ThermoElasticCoupling(0.), _DplasticEnergyDEplmatrix(0.),
-       _successFlag(true)
+       _successFlag(true), _anisotropicMatrix(0), _DanisotropicMatrixDF(0.), _DanisotropicMatrixDEp(0.)
 {
   // Real constructor
   // Initialisation of pointers for internal laws Ipvs and other related variables
@@ -161,7 +162,9 @@ IPNonLocalPorosity::IPNonLocalPorosity(const IPNonLocalPorosity &source) :
       _lnfV(source._lnfV),_lnfVtilde(source._lnfVtilde),_T(source._T), _dissipationActive(source._dissipationActive),
       _thermalEnergy(source._thermalEnergy),_ThermoElasticCoupling(source._ThermoElasticCoupling),
       _DplasticEnergyDEplmatrix(source._DplasticEnergyDEplmatrix),
-      _successFlag(source._successFlag)
+      _successFlag(source._successFlag),
+      _anisotropicMatrix(source._anisotropicMatrix), _DanisotropicMatrixDF(source._DanisotropicMatrixDF), 
+      _DanisotropicMatrixDEp(source._DanisotropicMatrixDEp)
 {
 
   // Copy all pointers for internal laws Ipvs
@@ -346,6 +349,9 @@ IPNonLocalPorosity& IPNonLocalPorosity::operator=(const IPVariable &source)
     _ThermoElasticCoupling = src->_ThermoElasticCoupling;
     _DplasticEnergyDEplmatrix = src->_DplasticEnergyDEplmatrix;
     _successFlag = src->_successFlag;
+    _anisotropicMatrix = src->_anisotropicMatrix;
+    _DanisotropicMatrixDF = src->_DanisotropicMatrixDF;
+    _DanisotropicMatrixDEp = src->_DanisotropicMatrixDEp;
   }
   return *this;
 };
@@ -422,6 +428,9 @@ void IPNonLocalPorosity::restart()
   restartManager::restart(_ThermoElasticCoupling);
   restartManager::restart(_DplasticEnergyDEplmatrix);
   restartManager::restart(_successFlag);
+  restartManager::restart(_anisotropicMatrix);
+  restartManager::restart(_DanisotropicMatrixDF);
+  restartManager::restart(_DanisotropicMatrixDEp);
   // Pointer to variables store somewhere else
   _currentOutwardNormal = NULL;
   _referenceOutwardNormal = NULL;
diff --git a/NonLinearSolver/internalPoints/ipNonLocalPorosity.h b/NonLinearSolver/internalPoints/ipNonLocalPorosity.h
index acbde87d7fa796337c2b96f18a02045bfb3f34c8..9e5312b0c0bff36215b4d69a87a7cf7f80631354 100644
--- a/NonLinearSolver/internalPoints/ipNonLocalPorosity.h
+++ b/NonLinearSolver/internalPoints/ipNonLocalPorosity.h
@@ -97,6 +97,10 @@ protected:
   double _ThermoElasticCoupling; //
   
   bool _successFlag; // true if contitutive law is successfully passed in GP 
+  
+  STensor43 _anisotropicMatrix;
+  STensor63 _DanisotropicMatrixDF;
+  STensor63 _DanisotropicMatrixDEp;
 
  public:
   // Constructor & destructor
@@ -367,7 +371,15 @@ protected:
       Msg::Error("IPNonLocalPorosity: ipvVoidState not initialized");
     return *ipvVoidState;
   }
-
+  
+  virtual const STensor43& getConstRefToAnisotropicTensor() const {return _anisotropicMatrix;};
+  virtual STensor43& getRefToAnisotropicTensor() {return _anisotropicMatrix;};
+  
+  virtual const STensor63& getConstRefToDAnisotropicTensorDF() const {return _DanisotropicMatrixDF;};
+  virtual STensor63& getRefToDAnisotropicTensorDF() {return _DanisotropicMatrixDF;};
+  
+  virtual const STensor63& getConstRefToDAnisotropicTensorDEp() const {return _DanisotropicMatrixDEp;};
+  virtual STensor63& getRefToDAnisotropicTensorDEp() {return _DanisotropicMatrixDEp;};
 };
 
 
diff --git a/NonLinearSolver/materialLaw/CMakeLists.txt b/NonLinearSolver/materialLaw/CMakeLists.txt
index 341ace0e973297e1d0654f9ac325875f6b289b94..bed4818d58f43a62c966e84079fdc99d77bc8d92 100644
--- a/NonLinearSolver/materialLaw/CMakeLists.txt
+++ b/NonLinearSolver/materialLaw/CMakeLists.txt
@@ -107,6 +107,7 @@ set(SRC
   mlawNonLinearTVE.cpp
   mlawNonLinearTVP.cpp
   mlawNonLinearTVENonLinearTVP.cpp
+  mlawNonLinearTVENonLinearTVP2.cpp
   mlawCoupledThermoMechanics.cpp
   mullinsEffect.cpp
   mlawHyperelasticWithPotential.cpp
diff --git a/NonLinearSolver/materialLaw/STensorOperations.cpp b/NonLinearSolver/materialLaw/STensorOperations.cpp
index 528c234ad730164c81e23deca9458421b9d17b88..59c2e516af09e8daf095e5fa11ee9cbe3543b6e0 100644
--- a/NonLinearSolver/materialLaw/STensorOperations.cpp
+++ b/NonLinearSolver/materialLaw/STensorOperations.cpp
@@ -362,17 +362,17 @@ void STensorOperation::expSTensor3(const STensor3& a, const int order, STensor3&
 }
 
 void STensorOperation::getEigenDecomposition(const STensor3& a, double& x1, double& x2, double& x3, STensor3& E1, STensor3& E2, STensor3& E3, 
-                                    STensor3& dx1da, STensor3& dx2da, STensor3& dx3da, STensor43& dE1da, STensor43& dE2da, STensor43& dE3da)
-{
-   getEigenDecomposition(a, x1, x2, x3, E1, E2, E3);
+                                    STensor3& dx1da, STensor3& dx2da, STensor3& dx3da, STensor43& dE1da, STensor43& dE2da, STensor43& dE3da){
+
+	getEigenDecomposition(a, x1, x2, x3, E1, E2, E3);
    
+   /*
    double x1p,x2p,x3p,x1m,x2m,x3m;
    static STensor3 E1p,E2p,E3p, E1m,E2m, E3m, ap, am;
    double pert=1.e-9;
-   for(int i=0; i<3; i++)
-   {
-     for(int j=0; j<3; j++)
-     {
+
+   for(int i=0; i<3; i++){
+     for(int j=0; j<3; j++){
        ap=a;
        am=a;
        ap(i,j)=ap(i,j)+pert;
@@ -392,10 +392,231 @@ void STensorOperation::getEigenDecomposition(const STensor3& a, double& x1, doub
          }
        }
      }
-   }
+   }*/
+
+   double tr = a.trace();
+   double det = STensorOperation::determinantSTensor3(a);
+   static STensor3 ainv, dI3da;
+   STensorOperation::inverseSTensor3(a,ainv);
+   dI3da = ainv;
+   dI3da *= det;
+
+   const STensor43 I4(1.,1.);
+   static STensor43 dainvda;
+   for (int i=0; i<3; i++)
+       for (int s=0; s<3; s++)
+           for (int k=0; k<3; k++)
+               for (int l=0; l<3; l++){
+            	   dainvda(i,s,k,l) = 0.;
+                   for (int m=0; m<3; m++)
+                       for (int j=0; j<3; j++)
+                    	   dainvda(i,s,k,l) -= ainv(i,m)*I4(m,j,k,l)*ainv(j,s);
+     }
+
+   dx1da = E1;
+   dx2da = E2;
+   dx3da = E3;
+
+   double D1(0.),D2(0.),D3(0.);
+   static STensor3 dD1da, dD2da, dD3da;
+   STensorOperation::subMember_getEigenDecomposition_getDi(x1,tr,det,dx1da,dI3da,D1,dD1da);
+   STensorOperation::subMember_getEigenDecomposition_getDi(x2,tr,det,dx2da,dI3da,D2,dD2da);
+   STensorOperation::subMember_getEigenDecomposition_getDi(x3,tr,det,dx3da,dI3da,D3,dD3da);
+   STensorOperation::subMember_getEigenDecomposition_getdEidC(E1,x1,det,D1,ainv,dx1da,dainvda,dI3da,dD1da,dE1da);
+   STensorOperation::subMember_getEigenDecomposition_getdEidC(E2,x2,det,D2,ainv,dx2da,dainvda,dI3da,dD2da,dE2da);
+   STensorOperation::subMember_getEigenDecomposition_getdEidC(E3,x3,det,D3,ainv,dx3da,dainvda,dI3da,dD3da,dE3da);
+
 }                                  
 
+void STensorOperation::getBasisRotationTensor(const STensor3& A, const STensor3& B, STensor3& R, STensor43& dRdB, STensor43& dRtdB){
+
+	// Only for single-legged symmetric tensors A and B -> leftEigenVect = rightEigenVect and eigenvals are always real
+	// R rotates the bases of A to that of B, so R = R_(ba), i.e., R = sum (eb * ea)
+	// B = R*A*Rt
+
+  static fullMatrix<double> m1(3, 3), m2(3, 3);
+  static fullVector<double> eigenValReal1(3), eigenValReal2(3), AlignedEigenValReal1(3);
+  static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+  static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+  static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), AlignedRightEigenVect1(3,3);
+  m1.setAll(0.); m2.setAll(0.);
+  eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); AlignedEigenValReal1.setAll(0.);
+  eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+  leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+  rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+
+  // Get eigen values and vectors
+  A.getMat(m1); B.getMat(m2);
+  m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+  m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+  // Make sure rightEigenVect1 is aligned with rightEigenVect2
+  // STensorOperation::alignEigenDecomposition_EigenVectorDotProductBased(eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2,AlignedEigenValReal1,AlignedRightEigenVect1);
+  double a1_align, a2_align, a3_align;
+  STensorOperation::alignEigenDecomposition_NormBased(A,B,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2,  a1_align, a2_align, a3_align, AlignedRightEigenVect1);
+  rightEigenVect1 = AlignedRightEigenVect1;
+
+  STensorOperation::zero(R);
+  for(int i=0; i<3; i++)
+    for(int j=0; j<3; j++)
+      R(i,j) += rightEigenVect2(i,0)*rightEigenVect1(j,0) + rightEigenVect2(i,1)*rightEigenVect1(j,1) + rightEigenVect2(i,2)*rightEigenVect1(j,2);
+
+  static STensor33 de0dB, de1dB, de2dB;
+  STensorOperation::getEigenDecomposition_getdeidC(rightEigenVect2,eigenValReal2(0),eigenValReal2(1),eigenValReal2(2),de0dB,de1dB,de2dB);
+
+  STensorOperation::zero(dRdB); STensorOperation::zero(dRtdB);
+	for(int i=0; i<3; i++)
+	  for(int j=0; j<3; j++)
+		for (int k=0; k<3; k++)
+		  for (int l=0; l<3; l++){
+			dRdB(i,j,k,l) +=  de0dB(i,k,l)*rightEigenVect1(j,0) + de1dB(i,k,l)*rightEigenVect1(j,1) + de2dB(i,k,l)*rightEigenVect1(j,2);
+			dRtdB(i,j,k,l) += de0dB(j,k,l)*rightEigenVect1(i,0) + de1dB(j,k,l)*rightEigenVect1(i,1) + de2dB(j,k,l)*rightEigenVect1(i,2);
+	      }
+
+	/*
+	// checkers
+	static STensor3 B1,B2,B3;
+	double b1,b2,b3;
+	static STensor43 dBdB; // must be I4(1.,1.)
+	STensorOperation::zero(dBdB);
+	STensorOperation::getEigenDecomposition(B,b1,b2,b3,B1,B2,B3);
+	for(int i=0; i<3; i++)
+	  for(int j=0; j<3; j++)
+		for (int k=0; k<3; k++)
+		  for (int l=0; l<3; l++){
+			dBdB(i,j,k,l) += B1(i,j)*B1(k,l) + B2(i,j)*B2(k,l) + B3(i,j)*B3(k,l) +
+      						b1*(de0dB(i,k,l)*rightEigenVect2(j,0) + de0dB(j,k,l)*rightEigenVect2(i,0)) +
+								b2*(de1dB(i,k,l)*rightEigenVect2(j,1) + de1dB(j,k,l)*rightEigenVect2(i,1)) +
+								b3*(de2dB(i,k,l)*rightEigenVect2(j,2) + de2dB(j,k,l)*rightEigenVect2(i,2));
+		  }*/
+}
+
+void STensorOperation::alignEigenDecomposition_NormBased_indexOnly(const STensor3& A, const STensor3& B, fullVector<int>& alignedIndex){
+  	  // Align A to B, where B is fixed
+
+	  	  // Initialise 1
+		  alignedIndex(0) = 0; alignedIndex(1) = 1; alignedIndex(2) = 2;
+		  static fullVector<double> eigenValReal1(3); eigenValReal1.setAll(0.);
+		  double a1,a2,a3,b1,b2,b3; // eigenvalues
+		  static STensor3 A1,A2,A3,B1,B2,B3; // bases
+
+		  // Get eigen and assign
+		  STensorOperation::getEigenDecomposition(A,a1,a2,a3,A1,A2,A3);
+		  STensorOperation::getEigenDecomposition(B,b1,b2,b3,B1,B2,B3);
+		  eigenValReal1(0) = a1; eigenValReal1(1) = a2; eigenValReal1(2) = a3;
+
+		  // Initialise 2
+	  	  double norm(0.), norm_min(1.e+20);
+	  	  static STensor3 A_reformed;
 
+	  	  // Generate permutated eigVal vector
+	  	  static fullVector<double> eigenValReal1_permuted(3);
+	  	  static fullVector<int> eigenValReal1_permuted_Index(3);
+	  	  for (int p=0; p<3; p++)
+	  		for (int q=0; q<3; q++){
+	  		  if(q!=p){
+	  			for (int r=0; r<3; r++){
+	  			  if(r!=p && r!=q){
+
+	  				zero(A_reformed);
+	  				for (int k=0; k<3; k++)
+	  				  for (int l=0; l<3; l++)
+	  		  		    A_reformed(k,l) += eigenValReal1(p)*B1(k,l) + eigenValReal1(q)*B2(k,l) + eigenValReal1(r)*B3(k,l);
+	  		  	    A_reformed -= A;
+	  		  	    doubleContractionSTensor3(A_reformed,A_reformed,norm);
+	  		  	    norm = pow(norm,0.5);
+
+	  		  	    if(norm < norm_min){      // if( ( - norm + norm_min)>1.e-6 )
+	  		  	    		norm_min = norm;
+	  			  		  	eigenValReal1_permuted(0) = eigenValReal1(p);
+	  			  		  	eigenValReal1_permuted_Index(0) = p;
+	  			  		  	eigenValReal1_permuted(1) = eigenValReal1(q);
+	  			  		  	eigenValReal1_permuted_Index(1) = q;
+	  			  		  	eigenValReal1_permuted(2) = eigenValReal1(r);
+	  			  		  	eigenValReal1_permuted_Index(2) = r;
+	  		  	    }
+	  			  }
+	  			}
+
+	  		  }
+	  		}
+
+	  	  // Assign the aligned indices
+	  	  alignedIndex = eigenValReal1_permuted_Index;
+  }
+
+
+void STensorOperation::alignEigenDecomposition_NormBased(const STensor3& A, const STensor3& B,
+		  	  	  	  	  	  	  	  	  	  	const double& b1, const double& b2, const double& b3, const STensor3& B1, const STensor3& B2, const STensor3& B3,
+												const fullVector<double> eigenValReal1, int& index1, int& index2, int& index3,
+												double& a1_align, double& a2_align, double& a3_align){
+  	  // Align 1 to 2, where 2 is fixed
+
+	  	  // Form the tensor
+	  	  double norm(0.), norm_min(1.e+20);
+	  	  static STensor3 A_reformed;
+
+	  	  // Generate permutated eigVal vector
+	  	  static fullVector<double> eigenValReal1_permuted(3);
+	  	  static fullVector<int> eigenValReal1_permuted_Index(3);
+	  	  for (int p=0; p<3; p++)
+	  		for (int q=0; q<3; q++){
+	  		  if(q!=p){
+	  			for (int r=0; r<3; r++){
+	  			  if(r!=p && r!=q){
+
+	  				zero(A_reformed);
+	  				for (int k=0; k<3; k++)
+	  				  for (int l=0; l<3; l++)
+	  		  		    A_reformed(k,l) += eigenValReal1(p)*B1(k,l) + eigenValReal1(q)*B2(k,l) + eigenValReal1(r)*B3(k,l);
+	  		  	    A_reformed -= A;
+	  		  	    doubleContractionSTensor3(A_reformed,A_reformed,norm);
+	  		  	    norm = pow(norm,0.5);
+
+	  		  	    if(norm < norm_min){      // if( ( - norm + norm_min)>1.e-6 )
+	  		  	    		norm_min = norm;
+	  			  		  	eigenValReal1_permuted(0) = eigenValReal1(p);
+	  			  		  	eigenValReal1_permuted_Index(0) = p;
+	  			  		  	eigenValReal1_permuted(1) = eigenValReal1(q);
+	  			  		  	eigenValReal1_permuted_Index(1) = q;
+	  			  		  	eigenValReal1_permuted(2) = eigenValReal1(r);
+	  			  		  	eigenValReal1_permuted_Index(2) = r;
+	  		  	    }
+	  			  }
+	  			}
+
+	  		  }
+	  		}
+
+	  	  /*
+	  	  // Get dotproducts of Eigen Vectors -> 3C1*3C1 possibilities
+	  	  static STensor3 dot1, theta1;
+	  	  zero(dot1);
+		  for (int k=0; k<3; k++)
+			for (int l=0; l<3; l++)
+			  for(int i=0; i<3; i++){
+				 dot1(k,l) += rightEigenVect1(k,i)*rightEigenVect2(l,i);
+			  }
+
+		  // Get angles
+		  double pi = 3.14159265358979323846;
+		  zero(theta1);
+		  for (int k=0; k<3; k++)
+			for (int l=0; l<3; l++){
+			  theta1(k,l) = acos(dot1(k,l)); // /(abs1(k)*abs2(l)));
+			  if (theta1(k,l) > pi/2) {
+				  theta1(k,l) = pi - theta1(k,l);
+			  }
+			}*/
+
+	  	  // Align the eigVals and eigVecs
+	  	  index1 = eigenValReal1_permuted_Index(0);
+	  	  index2 = eigenValReal1_permuted_Index(1);
+	  	  index3 = eigenValReal1_permuted_Index(2);
+	  	  a1_align = eigenValReal1_permuted(0);
+	  	  a2_align = eigenValReal1_permuted(1);
+	  	  a3_align = eigenValReal1_permuted(2);
+  }
 
 void STensorOperation::VRDecomposition(const STensor3& a, STensor3& V, STensor3&R)
 {
@@ -469,4 +690,20 @@ void STensorOperation::RUDecomposition(const STensor3& a, STensor3& U, STensor3&
 
 }
 
+/* TBD
+void STensorOperation::rotateTensorBasesMinimumEnergy(const STensor3& A, const STensor3& B, const STensor3& stress, STensor3& C){
+
+	double a1,a2,a3,b1,b2,b3;
+	static STensor3 A1,A2,A3,B1,B2,B3;
+	STensorOperation::getEigenDecompositionExplicitBase(A,a1,a2,a3,A1,A2,A3);
+	STensorOperation::getEigenDecompositionExplicitBase(B,b1,b2,b3,B1,B2,B3);
+
+	double initialEnergy = 0.;
+	STensorOperation::doubleContractionSTensor3(stress,A,initialEnergy);
+
+	static fullVector<double> A_eigVal(3);
+	A(0)=a1; A(1)=a2; A(2)=a3;
+
+}
+*/
 
diff --git a/NonLinearSolver/materialLaw/STensorOperations.h b/NonLinearSolver/materialLaw/STensorOperations.h
index 6b8bd995a58862a5c741da8f4fce4ed6baecc801..325e056f0cd53650c44e7d8a0f9ff65d57507a08 100644
--- a/NonLinearSolver/materialLaw/STensorOperations.h
+++ b/NonLinearSolver/materialLaw/STensorOperations.h
@@ -8,7 +8,7 @@
 #include "STensor63.h"
 #include "fullMatrix.h"
 #include <cmath>
-
+#include <algorithm>
 
 namespace STensorOperation{
   inline void zero(double& a){
@@ -867,6 +867,38 @@ namespace STensorOperation{
       }
     }
   };
+  inline void multSTensor3STensor63(const STensor3& a, const STensor63& b, STensor43& c){
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int p=0; p<3; p++){
+          for (int q=0; q<3; q++){
+            c(i,j, p, q)  = 0.;
+            for (int k=0; k<3; k++){
+              for (int l=0; l<3; l++){
+                c(i,j, p, q) += a(k,l)*b(k,l,i,j, p, q);
+              }
+            }
+          }
+        }
+      }
+    }
+  };
+  inline void multSTensor3STensor63Add(const STensor3& a, const STensor63& b, STensor43& c, double fact=1.){
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int p=0; p<3; p++){
+          for (int q=0; q<3; q++){
+            for (int k=0; k<3; k++){
+              for (int l=0; l<3; l++){
+                c(i,j, p, q) += fact*a(k,l)*b(k,l,i,j, p, q);
+              }
+            }
+          }
+        }
+      }
+    }
+  };
+  
   inline void multSTensor3STensor33(const STensor3& a, const STensor33& b, SVector3& c){
     for (int i=0; i<3; i++){
       c(i) = 0.;
@@ -1613,11 +1645,317 @@ namespace STensorOperation{
     }
   }
   
+  inline void getBasisRotationTensor(const STensor3& A, const STensor3& B, STensor3& R){
   
+	// Only for single-legged symmetric tensors A and B -> leftEigenVect = rightEigenVect and eigenvals are always real
+	// R rotates the bases of A to that of B, so R = R_(ba), i.e., R = sum (eb * ea)
+	// B = R*A*Rt
+
+    static fullMatrix<double> m1(3, 3), m2(3, 3);
+    static fullVector<double> eigenValReal1(3), eigenValReal2(3);
+    static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+    static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+    static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3);
+    m1.setAll(0.); m2.setAll(0.);
+    eigenValReal1.setAll(0.); eigenValReal2.setAll(0.);
+    eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+    leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+    rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.);
+
+    // Get eigen values and vectors
+    A.getMat(m1); B.getMat(m2);
+    m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+    m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+    zero(R);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++)
+        R(i,j) += rightEigenVect2(i,0)*rightEigenVect1(j,0) + rightEigenVect2(i,1)*rightEigenVect1(j,1) + rightEigenVect2(i,2)*rightEigenVect1(j,2);
+
+    /*
+    // checkers
+    static STensor3 check;
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++){
+    	 check(i,j) = 0.;
+    	 for(int k=0; k<3; k++)
+    	   for(int l=0; l<3; l++)
+    	     check(i,j) +=  R(i,k)*A(k,l)*R(j,l);
+      }
+
+    static fullMatrix<double> m(3, 3);
+    static fullVector<double> eigenValReal(3);
+    static fullVector<double> eigenValImag(3);
+    static fullMatrix<double> leftEigenVect(3,3);
+    static fullMatrix<double> rightEigenVect(3,3);
+    m.setAll(0.);
+    eigenValReal.setAll(0.);
+    eigenValImag.setAll(0.);
+    leftEigenVect.setAll(0.);
+    rightEigenVect.setAll(0.);
+
+    // Get eigen values and vectors
+    check.getMat(m);
+    m.eig(eigenValReal,eigenValImag,leftEigenVect,rightEigenVect,false);
+    */
+  }
+
+  void getBasisRotationTensor(const STensor3& A, const STensor3& B, STensor3& R, STensor43& dRdB, STensor43& dRtdB);
 
   void getEigenDecomposition(const STensor3& a, double& x1, double& x2, double& x3, STensor3& E1, STensor3& E2, STensor3& E3, 
                                     STensor3& dx1da, STensor3& dx2da, STensor3& dx3da, STensor43& dE1da, STensor43& dE2da, STensor43& dE3da);
 
+  inline void subMember_getEigenDecomposition_getDi(const double& xi, const double& tr, const double& det, const STensor3& dxidC, const STensor3& dI3dC, double& Di, STensor3& dDidC){
+	  // C is 42 tensor
+	  Di = 2*pow(xi,2) - tr*xi + det/xi;
+
+	  STensor3 I(1.);
+
+	  zero(dDidC);
+	  for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++)
+			  dDidC(i,j) += 4*xi*dxidC(i,j) - xi*I(i,j) - tr*dxidC(i,j) + dI3dC(i,j)*1/xi - (det/pow(xi,2))*dxidC(i,j);
+  }
+
+  inline void subMember_getEigenDecomposition_getdEidC(const STensor3& Ei, const double& xi, const double& det, const double& Di, const STensor3& Cinv, const STensor3& dxidC, const STensor43& dCinvdC,
+		  	  	  	  	  	  	  	  	  	  	  const STensor3& dI3dC, const STensor3& dDidC, STensor43& dEidC){
+	  // C is 42 tensor
+	  STensor3 I(1.);
+	  STensor43 I4(1.,1.);
+
+	  zero(dEidC);
+	  if(abs(xi)>0. && abs(Di)>0.){
+		  for(int i=0; i<3; i++)
+			  for(int j=0; j<3; j++)
+				  for (int k=0; k<3; k++)
+					  for (int l=0; l<3; l++){
+						  dEidC(i,j,k,l) += Ei(i,j)*dxidC(k,l)/xi
+								  + xi/Di*(I4(i,j,k,l) - I(i,j)*I(k,l) + I(i,j)*dxidC(k,l) + det*(1/xi*dCinvdC(i,j,k,l) - (1/pow(xi,2))*Cinv(i,j)*dxidC(k,l)) + 1/xi * Cinv(i,j)*dI3dC(k,l))
+					  	  	  	  	  - Ei(i,j)/Di*dDidC(k,l);
+					  }
+	  }
+  }
+
+  inline void getEigenDecomposition_getdeidC(const fullMatrix<double>& rightEigenVect, const double& x0, const double& x1, const double& x2, STensor33& de0dC, STensor33& de1dC, STensor33& de2dC){
+	  // C is 42 tensor
+
+	  zero(de0dC); zero(de1dC); zero(de2dC);
+	  for(int i=0; i<3; i++)
+	    for (int k=0; k<3; k++)
+		  for (int l=0; l<3; l++){
+
+			 if (x0!=x1){
+				 de0dC(i,k,l) += 1/(x0-x1)/2.*(rightEigenVect(l,0)*rightEigenVect(k,1)+rightEigenVect(k,0)*rightEigenVect(l,1))*rightEigenVect(i,1);
+				 de1dC(i,k,l) += 1/(x1-x0)/2.*(rightEigenVect(l,1)*rightEigenVect(k,0)+rightEigenVect(k,1)*rightEigenVect(l,0))*rightEigenVect(i,0);
+			 }
+
+			 if (x0!=x2){
+				 de0dC(i,k,l) += 1/(x0-x2)/2.*(rightEigenVect(l,0)*rightEigenVect(k,2)+rightEigenVect(k,0)*rightEigenVect(l,2))*rightEigenVect(i,2);
+				 de2dC(i,k,l) += 1/(x2-x0)/2.*(rightEigenVect(l,2)*rightEigenVect(k,0)+rightEigenVect(k,2)*rightEigenVect(l,0))*rightEigenVect(i,0);
+			 }
+
+			 if (x1!=x2){
+				 de1dC(i,k,l) += 1/(x1-x2)/2.*(rightEigenVect(l,1)*rightEigenVect(k,2)+rightEigenVect(k,1)*rightEigenVect(l,2))*rightEigenVect(i,2);
+				 de2dC(i,k,l) += 1/(x2-x1)/2.*(rightEigenVect(l,2)*rightEigenVect(k,1)+rightEigenVect(k,2)*rightEigenVect(l,1))*rightEigenVect(i,1);
+			 }
+	      }
+  }
+
+  inline void alignEigenDecomposition_EigenVectorDotProductBased(const fullVector<double> eigenValReal1, const fullVector<double> eigenValReal2,
+		  	  	  	  	  	  	  	  const fullMatrix<double>& rightEigenVect1, const fullMatrix<double>& rightEigenVect2,
+									  double& a1_align, double& a2_align, double& a3_align, fullMatrix<double>& rightEigenVect){
+  	  // Align 1 to 2 where 2 is fixed
+
+
+	  // Get abs values of Eigenvectors
+	  static fullVector<double> abs1(3), abs2(3);
+	  double sumSquare1(0.), sumSquare2(0.);
+  	  for(int i=0; i<3; i++){
+    	for (int k=0; k<3; k++){
+    		sumSquare1 += rightEigenVect1(k,i)*rightEigenVect1(k,i);
+    		sumSquare2 += rightEigenVect2(k,i)*rightEigenVect2(k,i);
+    	}
+		abs1(i) = pow(sumSquare1,0.5);
+		abs2(i) = pow(sumSquare2,0.5);
+		sumSquare1 = 0.;
+		sumSquare2 = 0.;
+  	  }
+
+  	  // Get dotproducts of Eigen Vectors -> 3C1*3C1 possibilities
+  	  static STensor3 dot1, theta1;
+  	  zero(dot1);
+	  for (int k=0; k<3; k++)
+		for (int l=0; l<3; l++)
+		  for(int i=0; i<3; i++){
+			 dot1(k,l) += rightEigenVect1(k,i)*rightEigenVect2(l,i);
+		  }
+
+	  // Get angles
+	  double pi = 3.14159265358979323846;
+	  zero(theta1);
+	  for (int k=0; k<3; k++)
+		for (int l=0; l<3; l++){
+		  theta1(k,l) = acos(dot1(k,l)); // /(abs1(k)*abs2(l)));
+		  if (theta1(k,l) > pi/2) {
+			  theta1(k,l) = pi - theta1(k,l);
+		  }
+		}
+
+
+	  // Compare and pick the smallest theta1 for the 1st aligned Eigenvector wrt Eigenvectors2
+      double smol1 = theta1(0,0);
+      double smol2 = theta1(1,1);
+      double smol3 = theta1(2,2);
+      int index1 = 0, index2 = 1, index3 = 2;
+
+      // pick 1
+      int temp1 = 0;
+      for (int l=0; l<3; l++){
+    	  if(temp1==0){
+    		  smol1 = theta1(l,0);
+    		  index1 = l;
+    		  temp1 = 1;
+    	  }
+    	  else if(theta1(l,0)<smol1 && temp1!=0){
+    		  smol1 = theta1(l,0);
+    		  index1 = l;
+    		  temp1 = 1;
+    	  }
+      }
+
+      // pick 2
+      int temp2 = 0;
+      for (int l=0; l<3; l++){
+    	  if(l!=index1){
+    		  if(temp1==0){
+        		  smol2 = theta1(l,1);
+        		  index2 = l;
+        		  temp2 = 1;
+    		  }
+    		  if(theta1(l,1)<smol2 && temp2!=0){
+        		  smol2 = theta1(l,1);
+        		  index2 = l;
+        		  temp2 = 1;
+    		  }
+    	  }
+       }
+
+      // pick 3
+      for (int l=0; l<3; l++){
+       	  if(l!=index1 && l!=index2) index3 = l;
+      }
+
+      a1_align = eigenValReal1(index1);
+      a2_align = eigenValReal1(index2);
+      a3_align = eigenValReal1(index3);
+	  for(int i=0; i<3; i++){
+		  rightEigenVect(i,0) = rightEigenVect1(i,index1);
+		  rightEigenVect(i,1) = rightEigenVect1(i,index2);
+		  rightEigenVect(i,2) = rightEigenVect1(i,index3);
+	  }
+
+      // Convert to tensors
+	  static STensor3 eig1, eig2, eig_Align;
+	  for (int k=0; k<3; k++)
+		for (int l=0; l<3; l++){
+			eig1(k,l) = rightEigenVect1(k,l);
+			eig2(k,l) = rightEigenVect2(k,l);
+			eig_Align(k,l) = rightEigenVect(k,l);
+		}
+
+  }
+
+  inline void alignEigenDecomposition_NormBased(const STensor3& A, const STensor3& B, const fullVector<double> eigenValReal1, const fullVector<double> eigenValReal2,
+    		  	  	  	  	  	  	  	  const fullMatrix<double>& rightEigenVect1, const fullMatrix<double>& rightEigenVect2,
+    									  double& a1_align, double& a2_align, double& a3_align, fullMatrix<double>& rightEigenVect){
+      	  // Align 1 to 2 where 2 is fixed
+
+  	  	  // Get eigen bases
+  	  	  double b1, b2, b3;
+  	  	  static STensor3 B1, B2, B3;
+  	  	  getEigenDecomposition(B,b1,b2,b3,B1,B2,B3);
+
+  	  	  // Form the tensor
+  	  	  double norm(0.), norm_min(0.);
+  	  	  static STensor3 A_reformed;
+
+  	  	  // Generate permutated eigVal vector
+  	  	  static fullVector<double> eigenValReal1_permuted(3);
+  	  	  static fullVector<int> eigenValReal1_permuted_Index(3);
+  	  	  double l1(0.), l2(0.), l3(0.);
+  	  	  for (int p=0; p<3; p++){
+  	  		l1 = eigenValReal1(p);
+  	  		for (int q=0; q<3; q++){
+  	  		  if(q!=p){
+  	  			l2 = eigenValReal1(q);
+  	  			for (int r=0; r<3; r++){
+  	  			  if(r!=p && r!=q){
+  	  				l3 = eigenValReal1(r);
+
+  	  				zero(A_reformed);
+  	  				for (int k=0; k<3; k++)
+  	  				  for (int l=0; l<3; l++)
+  	  		  		    A_reformed(k,l) += l1*B1(k,l) + l2*B2(k,l) + l3*B3(k,l);
+  	  		  	    A_reformed -= A;
+  	  		  	    doubleContractionSTensor3(A_reformed,A_reformed,norm);
+  	  		  	    norm = pow(norm,0.5);
+
+  	  		  	    if(norm_min == 0.){
+  	  		  	     norm_min = norm; // initialise
+  		  		  	 eigenValReal1_permuted(0) = l1;
+  		  		  	 eigenValReal1_permuted_Index(0) = p;
+  		  		  	 eigenValReal1_permuted(1) = l2;
+  		  		  	 eigenValReal1_permuted_Index(1) = q;
+  		  		  	 eigenValReal1_permuted(2) = l3;
+  		  		  	 eigenValReal1_permuted_Index(2) = r;
+  	  		  	    }
+  	  		  	    else{
+  	  		  	    	if(norm < norm_min){      // if( ( - norm + norm_min)>1.e-6 )
+  	  		  	    		norm_min = norm;
+  	  			  		  	eigenValReal1_permuted(0) = l1;
+  	  			  		  	eigenValReal1_permuted_Index(0) = p;
+  	  			  		  	eigenValReal1_permuted(1) = l2;
+  	  			  		  	eigenValReal1_permuted_Index(1) = q;
+  	  			  		  	eigenValReal1_permuted(2) = l3;
+  	  			  		  	eigenValReal1_permuted_Index(2) = r;
+  	  		  	    	}
+  	  		  	    }
+  	  			  }
+  	  			}
+
+  	  		  }
+  	  		}
+  	  	  }
+
+  	  	  // Align the eigVals and eigVecs
+  	  	  a1_align = eigenValReal1_permuted(0);
+  	  	  a2_align = eigenValReal1_permuted(1);
+  	  	  a3_align = eigenValReal1_permuted(2);
+  		  for(int i=0; i<3; i++){
+  			  rightEigenVect(i,0) = rightEigenVect1(i,eigenValReal1_permuted_Index(0));
+  			  rightEigenVect(i,1) = rightEigenVect1(i,eigenValReal1_permuted_Index(1));
+  			  rightEigenVect(i,2) = rightEigenVect1(i,eigenValReal1_permuted_Index(2));
+  		  }
+
+
+  	      // Convert to tensors
+  		  static STensor3 eig1, eig2, eig_align;
+  		  for (int k=0; k<3; k++)
+  			for (int l=0; l<3; l++){
+  				eig1(k,l) = rightEigenVect1(k,l);
+  				eig2(k,l) = rightEigenVect2(k,l);
+  				eig_align(k,l) = rightEigenVect(k,l);
+  			}
+
+      }
+
+  void alignEigenDecomposition_NormBased_indexOnly(const STensor3& A, const STensor3& B, fullVector<int>& alignedIndex);
+
+  void alignEigenDecomposition_NormBased(const STensor3& A, const STensor3& B,
+		  	  	  	  	  	  	  	  	  	  	const double& b1, const double& b2, const double& b3, const STensor3& B1, const STensor3& B2, const STensor3& B3,
+												const fullVector<double> eigenValReal1, int& index1, int& index2, int& index3,
+												double& a1_align, double& a2_align, double& a3_align);
+
   inline void getEigenDecompositionExplicitBase(const STensor3& a, double& x1, double& x2, double& x3, STensor3& E1, STensor3& E2, STensor3& E3)
   {
     // a = x1*E1+x2*E2+x3*E3
diff --git a/NonLinearSolver/materialLaw/mlaw.h b/NonLinearSolver/materialLaw/mlaw.h
index 7da8c7a5640b10b36e389a72e1afd8a859b1b08d..ab8314b039b368da85c228eee91b23a3c7d68d89 100644
--- a/NonLinearSolver/materialLaw/mlaw.h
+++ b/NonLinearSolver/materialLaw/mlaw.h
@@ -35,7 +35,7 @@ class materialLaw{
                  ThermalConducter,AnIsotropicTherMech, localDamageJ2Hyper,linearElastic,nonLocalDamageGursonThermoMechanics,
                  localDamageJ2SmallStrain,nonLocalDamageJ2SmallStrain,cluster,tfa,ANN, DMN, torchANN, NonlocalDamageTorchANN, StochDMN, LinearElecMagTherMech, LinearElecMagInductor, hyperviscoelastic,
                  GenericThermoMechanics, ElecMagGenericThermoMechanics, ElecMagInductor,
-                 nonlineartvm,nonlinearTVE,nonlinearTVP,vevpmfh, VEVPUMAT, IMDEACPUMAT, Hill48,nonlinearTVEnonlinearTVP,
+                 nonlineartvm,nonlinearTVE,nonlinearTVP,vevpmfh, VEVPUMAT, IMDEACPUMAT, Hill48,nonlinearTVEnonlinearTVP,nonlinearTVEnonlinearTVP2,
                  MultipleLaws};
 
 
diff --git a/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.cpp b/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.cpp
index 13b08a0c9345a8df821243d3809f434c9422c57a..4a531e3b31215783f23ebfe88dc1cab079f6ea7c 100644
--- a/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.cpp
+++ b/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.cpp
@@ -90,6 +90,7 @@ void mlawAnIsotropicElecTherMech::constitutive(
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,			// initial Temperature
 			    double T,			// updated Temperature
+			    double V0,			// updated Voltage
 			    double V,			// updated Voltage
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.h b/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.h
index 34d60ad66217db4bee7bfe88efe2ee1ade709a3d..0351dcbf69caa5190ceb3b2dddd5d70e09d2466e 100644
--- a/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.h
+++ b/NonLinearSolver/materialLaw/mlawAnIsotropicElecTherMech.h
@@ -55,6 +55,7 @@ public:
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,
 			    double T,
+			    double V0,
 			    double V,
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.cpp b/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.cpp
index 75847d5caced7e4302136972ce30d93dbceaf226..a9725ae362a61b070c57c424c4a68011bb185ab5 100644
--- a/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.cpp
+++ b/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.cpp
@@ -181,14 +181,20 @@ void mlawAnisotropicPlasticity::computeResidual(const STensor3& DeltaEp, std::ve
 {
   int numberYield = getNumOfYieldSurfaces();
   double R0 = _j2IH->getYield0();
-  static std::vector<STensor3> DyieldDsig(numberYield,STensor3(0.)) ;
+  static std::vector<STensor3> DyieldDsig(numberYield,STensor3(0.));
   static std::vector<double> DyieldDR(numberYield, 0);
-  yieldFunction(res0,sig,R,q0,q1,stiff,&DyieldDsig,&DyieldDR);
+  static std::vector<STensor3> DyieldDDeltaEp(numberYield,STensor3(0.));
+  static std::vector<STensor3> DyieldDFdefo(numberYield,STensor3(0.));;
+  
+  yieldFunction(res0,sig,R,q0,q1,stiff,&DyieldDsig,&DyieldDR,&DyieldDDeltaEp,&DyieldDFdefo);
   
   static std::vector<STensor3> Np(numberYield,STensor3(0.));
   static std::vector<STensor43> DNpDsig(numberYield,STensor43(0.));
   static std::vector<STensor3> DNpDR(numberYield, STensor3(0.));
-  getYieldNormal(Np,sig,R,q0,q1,stiff,&DNpDsig,&DNpDR);
+  static std::vector<STensor43> DNpDDeltaEp(numberYield,STensor43(0.));
+  static std::vector<STensor43> DNpDFdefo(numberYield,STensor43(0.));
+  
+  getYieldNormal(Np,sig,R,q0,q1,stiff,&DNpDsig,&DNpDR, &DNpDDeltaEp, &DNpDFdefo);
     
   // plastic energy balance
   res1 = DeltaEp;
@@ -205,6 +211,7 @@ void mlawAnisotropicPlasticity::computeResidual(const STensor3& DeltaEp, std::ve
     for (int i=0; i< numberYield; i++)
     {
       STensorOperation::multSTensor3STensor43(DyieldDsig[i],DsigDDeltaEp,Dres0DDeltaEp[i]);
+      Dres0DDeltaEp[i] += DyieldDDeltaEp[i];
       Dres0DDeltaPlasticMult[i] = 0.;
       Dres0DDeltaHatP[i] = DyieldDR[i]*H;
     }
@@ -214,6 +221,8 @@ void mlawAnisotropicPlasticity::computeResidual(const STensor3& DeltaEp, std::ve
     for (int i=0; i< numberYield; i++)
     {
       STensorOperation::multSTensor43Add(DNpDsig[i],DsigDDeltaEp,-DeltaPlasticMult[i],Dres1DDeltaEp);
+      Dres1DDeltaEp.axpy(-DeltaPlasticMult[i], DNpDDeltaEp[i]);
+      
       Dres1DDeltaPlasticMult[i] = Np[i];
       Dres1DDeltaPlasticMult[i] *= (-1.);
       Dres1DDeltaHatP.daxpy(DNpDR[i],-DeltaPlasticMult[i]*H);
@@ -232,16 +241,24 @@ void mlawAnisotropicPlasticity::computeResidual(const STensor3& DeltaEp, std::ve
 
 void mlawAnisotropicPlasticity::computeDResidual(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value 
                                   const STensor3& sig, const double R,  const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  const STensor43& DsigDEepr, const double H, 
-                                  std::vector<STensor3>& Dres0DEepr, STensor43& Dres1DEepr, STensor3& Dres2DEepr) const
+                                  const STensor43& DsigDEepr, const double H, const STensor43& EprToF,
+                                  std::vector<STensor3>& Dres0DFdefo, STensor43& Dres1DFdefo, STensor3& Dres2DFdefo) const
 {
   int numberYield = getNumOfYieldSurfaces();
   double R0 = _j2IH->getYield0();
   
+  static std::vector<STensor3> Dres0DEepr(numberYield, STensor3(0.));
+  static STensor43 Dres1DEepr;
+  static  STensor3 Dres2DEepr;
+  
+  
   static std::vector<double> yf(numberYield,0.);
   static std::vector<STensor3> DyieldDsig(numberYield,STensor3(0.)) ;
   static std::vector<double> DyieldDR(numberYield, 0);
-  yieldFunction(yf,sig,R,q0,q1,true,&DyieldDsig,&DyieldDR);
+  static std::vector<STensor3> DyieldDDeltaEp(numberYield,STensor3(0.));
+  static std::vector<STensor3> DyieldDFdefo(numberYield,STensor3(0.));;
+  
+  yieldFunction(yf,sig,R,q0,q1,true,&DyieldDsig,&DyieldDR,&DyieldDDeltaEp, &DyieldDFdefo);
   for (int i=0;  i< numberYield; i++)
   {
     STensorOperation::multSTensor3STensor43(DyieldDsig[i],DsigDEepr,Dres0DEepr[i]);
@@ -250,7 +267,10 @@ void mlawAnisotropicPlasticity::computeDResidual(const STensor3& DeltaEp, const
   static std::vector<STensor3> Np(numberYield,STensor3(0.));
   static std::vector<STensor43> DNpDsig(numberYield,STensor43(0.));
   static std::vector<STensor3> DNpDR(numberYield, STensor3(0.));
-  getYieldNormal(Np,sig,R,q0,q1,true,&DNpDsig,&DNpDR);
+  static std::vector<STensor43> DNpDDeltaEp(numberYield,STensor43(0.));
+  static std::vector<STensor43> DNpDFdefo(numberYield,STensor43(0.));
+  
+  getYieldNormal(Np,sig,R,q0,q1,true,&DNpDsig,&DNpDR, &DNpDDeltaEp, &DNpDFdefo);
   STensorOperation::zero(Dres1DEepr);
   for (int i=0;  i< numberYield; i++)
   {
@@ -259,6 +279,19 @@ void mlawAnisotropicPlasticity::computeDResidual(const STensor3& DeltaEp, const
   // plastic energy balance
   STensorOperation::multSTensor3STensor43(DeltaEp,DsigDEepr,Dres2DEepr);
   Dres2DEepr *= (1./R0);
+  
+  // compute with respect to F
+  for (int i=0; i< numberYield; i++)
+  {
+    STensorOperation::multSTensor3STensor43(Dres0DEepr[i],EprToF,Dres0DFdefo[i]);
+    Dres0DFdefo[i] += DyieldDFdefo[i];
+  }
+  STensorOperation::multSTensor43(Dres1DEepr, EprToF, Dres1DFdefo);
+  for (int i=0; i< numberYield; i++)
+  {
+    Dres1DFdefo.axpy(-DeltaPlasticMult[i], DNpDFdefo[i]);
+  }
+  STensorOperation::multSTensor3STensor43(Dres2DEepr, EprToF, Dres2DFdefo);
 }; 
 
 void mlawAnisotropicPlasticity::getResAndJacobian(fullVector<double>& res, fullMatrix<double>& J, 
@@ -270,7 +303,6 @@ void mlawAnisotropicPlasticity::getResAndJacobian(fullVector<double>& res, fullM
   // phi_i = 0, 
   // DeltaEp - sum_i DeltaPlasticMult_i * N_i = 0,
   // res2 = 0
-  
   int numberYield = getNumOfYieldSurfaces();
   if (res.size() != 7+numberYield){
     res.resize(7+numberYield);
@@ -454,14 +486,19 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
                             const bool stiff
                             ) const 
 {  
+  q->setRefToDeformationGradient(F);
   const STensor3& Fp0 = q0->getConstRefToFp();
   STensor3& Fp = q->getRefToFp();
+  
+  const STensor3& Ep0 = q0->getConstRefToPlasticDeformationTensor();
+  STensor3& Ep = q->getRefToPlasticDeformationTensor();
 
   double& eps = q->getRefToEquivalentPlasticStrain();
   const double& eps0  = q0->getConstRefToEquivalentPlasticStrain();
   // elastic predictor
   Fp = Fp0;
   eps = eps0;
+  Ep =  Ep0;
   static STensor3 invFp0, Fepr;
   STensorOperation::inverseSTensor3(Fp0,invFp0);
   STensorOperation::multSTensor3(F,invFp0,Fepr);
@@ -554,6 +591,7 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
   }
   else
   {
+    computeRotatedAnisotropicTensor(F, DeltaEp, q0, q, true);
     // corotational stress
     if (withPlastic(F,kcor,R,q0,q))
     {
@@ -562,8 +600,7 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
       // plastic corrector
       // unknowns
       
-      
-                                                  
+                                            
       // static data
       static std::vector<double> res0(nyield);
       static std::vector<STensor3> Dres0DDeltaEp(nyield);
@@ -648,13 +685,15 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
         STensorOperation::multSTensor43STensor3Add(_Cel,DeltaEp,-1.,kcor);
         STensorOperation::scale(kcor,detFinv,sig);
         
-        
+        Ep = Ep0 + DeltaEp;
         eps = eps0 + DeltaHatP;
         _j2IH->hardening(eps0, q0->getConstRefToIPJ2IsotropicHardening(),eps, q->getRefToIPJ2IsotropicHardening());
         // update internal variables        
         R = q->getConstRefToIPJ2IsotropicHardening().getR();
         H = q->getConstRefToIPJ2IsotropicHardening().getDR();
         
+        computeRotatedAnisotropicTensor(F, DeltaEp, q0, q, true);
+        
         computeResidual(DeltaEp,DeltaPlasticMult,DeltaHatP,sig,R,q0,q,
             res0,res1,res2,
             true,DsigDDeltaEp,H,
@@ -805,18 +844,40 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
     }
     else
     {
-      static STensor43 DKcorDEepr, DFpDEepr;
-      DKcorDEepr = _Cel;
-      STensorOperation::zero(DFpDEepr);
+      static STensor43 EprToF;
+      for (int i=0; i<3; i++){
+        for (int j=0; j<3; j++){
+          for (int k=0; k<3; k++){
+            for (int l=0; l<3; l++){
+              EprToF(i,j,k,l) = 0.;
+              for (int p=0; p<3; p++){
+                for (int q=0; q<3; q++){
+                  EprToF(i,j,k,l) += Lpr(i,j,p,q)*Fepr(k,p)*invFp0(l,q);
+                }
+              }
+            }
+          }
+        }
+      }
+      
+      static STensor43 DKcorDFdefo, DFpDFdefo;
+      STensorOperation::zero(DKcorDFdefo);
+      STensorOperation::zero(DFpDFdefo);
+      STensor3& DplasticEnergyDF = q->getRefToDPlasticEnergyDF();
+      STensorOperation::zero(DplasticEnergyDF);
+      
+      // Kcor = Kcorpr - Cel:DeltaEp, 
+      // DkcorDEepr = DKcorprDEepr
+      STensorOperation::multSTensor43(_Cel, EprToF, DKcorDFdefo);
       if (q->dissipationIsActive())
       {
+        
         /* Compute internal variables derivatives from residual derivatives */
-        static std::vector<STensor3> Dres0DEepr(nyield);
-        static STensor43 Dres1DEepr;
-        static STensor3 Dres2DEepr;
+        static std::vector<STensor3> Dres0DFdefo(nyield);
+        static STensor43 Dres1DFdefo;
+        static STensor3 Dres2DFdefo;
+        
         
-        // Kcor = Kcorpr - Cel:DeltaEp, 
-        // DkcorDEepr = DKcorprDEepr
         // sig = Kcor*invdetF
         static STensor43 correctedDsigDEepr;
         STensorOperation::scale(_Cel,detFinv,correctedDsigDEepr);
@@ -827,11 +888,11 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
           STensorOperation::diag(DdetFDEepr,detF);
           STensorOperation::prodAdd(kcor,DdetFDEepr,-detFinv*detFinv,correctedDsigDEepr);
         }
-        computeDResidual(DeltaEp,DeltaPlasticMult,DeltaHatP,sig, R,q0,q,correctedDsigDEepr, H, 
-                        Dres0DEepr,Dres1DEepr,Dres2DEepr);
+        computeDResidual(DeltaEp,DeltaPlasticMult,DeltaHatP,sig, R,q0,q,correctedDsigDEepr, H, EprToF,
+                        Dres0DFdefo,Dres1DFdefo,Dres2DFdefo);
                         
-        static STensor43 DDeltaEPDEepr;
-        static STensor3 DDeltaHatPDEepr;
+        static STensor43 DDeltaEPDFdefo;
+        static STensor3 DDeltaHatPDFdefo;
         
         fullMatrix<double> invJac(8,8);
         bool isInverted = Jac.invert(invJac);
@@ -846,67 +907,48 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
           {
             for (int k=0; k< nyield; k++)
             {
-              res(k) = -Dres0DEepr[k](i,j);
+              res(k) = -Dres0DFdefo[k](i,j);
             }
-            res(nyield) = -Dres1DEepr(0,0,i,j);
-            res(nyield+1) = -Dres1DEepr(1,1,i,j); 
-            res(nyield+2) = -Dres1DEepr(2,2,i,j);
-            res(nyield+3) = -Dres1DEepr(0,1,i,j);
-            res(nyield+4) = -Dres1DEepr(0,2,i,j);
-            res(nyield+5) = -Dres1DEepr(1,2,i,j);
-            res(nyield+6) = -Dres2DEepr(i,j);
+            res(nyield) = -Dres1DFdefo(0,0,i,j);
+            res(nyield+1) = -Dres1DFdefo(1,1,i,j); 
+            res(nyield+2) = -Dres1DFdefo(2,2,i,j);
+            res(nyield+3) = -Dres1DFdefo(0,1,i,j);
+            res(nyield+4) = -Dres1DFdefo(0,2,i,j);
+            res(nyield+5) = -Dres1DFdefo(1,2,i,j);
+            res(nyield+6) = -Dres2DFdefo(i,j);
             invJac.mult(res,sol);
-            DDeltaEPDEepr(0,0,i,j) = sol(0);
-            DDeltaEPDEepr(1,1,i,j) = sol(1);
-            DDeltaEPDEepr(2,2,i,j) = sol(2);
-            DDeltaEPDEepr(0,1,i,j) = sol(3);
-            DDeltaEPDEepr(1,0,i,j) = sol(3);
-            DDeltaEPDEepr(0,2,i,j) = sol(4);
-            DDeltaEPDEepr(2,0,i,j) = sol(4);
-            DDeltaEPDEepr(1,2,i,j) = sol(5);
-            DDeltaEPDEepr(2,1,i,j) = sol(5);
-            DDeltaHatPDEepr(i,j) = sol(6+nyield);
+            DDeltaEPDFdefo(0,0,i,j) = sol(0);
+            DDeltaEPDFdefo(1,1,i,j) = sol(1);
+            DDeltaEPDFdefo(2,2,i,j) = sol(2);
+            DDeltaEPDFdefo(0,1,i,j) = sol(3);
+            DDeltaEPDFdefo(1,0,i,j) = sol(3);
+            DDeltaEPDFdefo(0,2,i,j) = sol(4);
+            DDeltaEPDFdefo(2,0,i,j) = sol(4);
+            DDeltaEPDFdefo(1,2,i,j) = sol(5);
+            DDeltaEPDFdefo(2,1,i,j) = sol(5);
+            DDeltaHatPDFdefo(i,j) = sol(6+nyield);
           }
         }
         
         // compute tangents
         // kcor = kcorpr - H:DeltaEp 
+        STensorOperation::multSTensor43Add(_Cel,DDeltaEPDFdefo,-1.,DKcorDFdefo);
         
-        STensorOperation::multSTensor43Add(_Cel,DDeltaEPDEepr,-1.,DKcorDEepr);
         // Fp = exp(DeltaEp)*Fp0
-        STensorOperation::multSTensor43(DFpDDeltaEp,DDeltaEPDEepr,DFpDEepr);
+        STensorOperation::multSTensor43(DFpDDeltaEp,DDeltaEPDFdefo,DFpDFdefo);
         
         // plastic energy DplasticEnegy = R*DeltaHatP
-        STensor3& DplasticEnergyDF = q->getRefToDPlasticEnergyDF();
-        STensorOperation::scale(DDeltaHatPDEepr,detF*(H*DeltaHatP+R),DplasticEnergyDF);
-      }
+        STensorOperation::scale(DDeltaHatPDFdefo,detF*(H*DeltaHatP+R),DplasticEnergyDF);
+      };
     
-      static STensor43 EprToF;
-      for (int i=0; i<3; i++){
-        for (int j=0; j<3; j++){
-          for (int k=0; k<3; k++){
-            for (int l=0; l<3; l++){
-              EprToF(i,j,k,l) = 0.;
-              for (int p=0; p<3; p++){
-                for (int q=0; q<3; q++){
-                  EprToF(i,j,k,l) += Lpr(i,j,p,q)*Fepr(k,p)*invFp0(l,q);
-                }
-              }
-            }
-          }
-        }
-      }
+      
 
       tangentComputation(Tangent, q->dissipationIsActive(), F, kcor, S, Fepr, Fp0, Lpr,
                         Fe, Fp, L, dLDCe,
-                        DKcorDEepr, DFpDEepr, EprToF, Fpinv);
-
+                        DKcorDFdefo, DFpDFdefo, Fpinv);
 
       //update tangent of plastic energy
-      static STensor3 DplEnergyDEpr;
-      DplEnergyDEpr = q->getConstRefToDPlasticEnergyDF();
-      STensor3& DplEnergyDF = q->getRefToDPlasticEnergyDF();
-      STensorOperation::multSTensor3STensor43(DplEnergyDEpr,EprToF,DplEnergyDF);
+
       if (_stressFormulation == CORO_CAUCHY)
       {
         static STensor3 invF;
@@ -915,7 +957,7 @@ bool mlawAnisotropicPlasticity::predictorCorector(const STensor3& F0,         //
         {
           for (int j=0; j< 3; j++)
           {
-            DplEnergyDF(i,j) += detF*invF(j,i)*DeltaHatP*R;
+            DplasticEnergyDF(i,j) += detF*invF(j,i)*DeltaHatP*R;
           }
         }
       }
@@ -944,22 +986,13 @@ void mlawAnisotropicPlasticity::tangentComputation(STensor43& dStressDF,
                               const STensor43& Lpr,
                               const STensor3& Fe, const STensor3& Fp, // corrector
                               const STensor43& L, const STensor63& dL, // corrector value
-                              const STensor43& DcorKirDEepr,
-                              const STensor43& dFpDEepr,
-                              const STensor43& EprToF, const STensor3& Fpinv
+                              const STensor43& DcorKirDF,
+                              const STensor43& dFpdF, 
+                              const STensor3& Fpinv
                               ) const{
   // P = Fe. (Kcor:Le) . invFp
   // need to compute dFedF, dKcordF, dinvFpdF, dLedF
 
-  static STensor43 DcorKirDF, dFpdF;
-  STensorOperation::multSTensor43(DcorKirDEepr,EprToF,DcorKirDF);
-  if (plastic){
-    STensorOperation::multSTensor43(dFpDEepr,EprToF,dFpdF);
-  }
-  else{
-    STensorOperation::zero(dFpdF);
-  }
-
   // done DcorKirDF, DFpDF
 
   static STensor43 DinvFpdF;
@@ -1068,7 +1101,7 @@ mlawAnisotropicPlasticityJ2& mlawAnisotropicPlasticityJ2::operator=(const materi
 }
 
 void mlawAnisotropicPlasticityJ2::yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  bool diff, std::vector<STensor3>* DFDsig, std::vector<double>* DFDR) const
+                                  bool diff, std::vector<STensor3>* DFDsig, std::vector<double>* DFDR, std::vector<STensor3>* DFDDeltaEp, std::vector<STensor3>* DFDdefo) const
 {
   double R0 = _j2IH->getYield0();
   STensor3 s = sig.dev();
@@ -1082,7 +1115,7 @@ void mlawAnisotropicPlasticityJ2::yieldFunction(std::vector<double>& yf, const S
   }
 };
 void mlawAnisotropicPlasticityJ2::getYieldNormal(std::vector<STensor3>& Np, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  bool diff, std::vector<STensor43>* DNpDsig, std::vector<STensor3>* DNpDR) const
+                                  bool diff, std::vector<STensor43>* DNpDsig, std::vector<STensor3>* DNpDR, std::vector<STensor43>* DFNpDeltaEp, std::vector<STensor43>* DNpDdefo) const
 {
   int numberYield = getNumOfYieldSurfaces();
   double R0 = _j2IH->getYield0();
@@ -1092,6 +1125,8 @@ void mlawAnisotropicPlasticityJ2::getYieldNormal(std::vector<STensor3>& Np, cons
   {
     STensorOperation::scale(_I4dev, 1.5/R, (*DNpDsig)[0]);
     STensorOperation::scale(s, -1.5/(R*R), (*DNpDR)[0]);
+    STensorOperation::zero((*DFNpDeltaEp)[0]);
+    STensorOperation::zero((*DNpDdefo)[0]);
   }
 };
 
@@ -1187,35 +1222,208 @@ void mlawAnisotropicPlasticityHill48::setYieldParameters(const std::vector<doubl
   test.print("test");
 };
 
-void mlawAnisotropicPlasticityHill48::yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  bool diff, std::vector<STensor3>* DFDsig, std::vector<double>* DFDR) const
+void mlawAnisotropicPlasticityHill48::computeAnisotropyRotation(STensor3& Rtotal, const STensor3& F, const STensor3& DeltaEp, const STensor3& Fp0, 
+                                                bool stiff, STensor43* DRtotalDF, STensor43* DRtotalDDeltaEp) const
+{
+  static STensor3 dFp, Fp, Fpinv, Fe, Ce, Ue, UeInv, Re, C,  U, UInv, R;
+  STensorOperation::expSTensor3(DeltaEp,_order,dFp);
+  // Fp1 = dFp * Fp0
+  STensorOperation::multSTensor3(dFp,Fp0,Fp);
+  // Fe = F * Fp^-1
+  STensorOperation::inverseSTensor3(Fp, Fpinv);
+  STensorOperation::multSTensor3(F,Fpinv,Fe);
+  STensorOperation::multSTensor3FirstTranspose(Fe,Fe,Ce);
+  STensorOperation::sqrtSTensor3(Ce,Ue);
+  STensorOperation::inverseSTensor3(Ue,UeInv);
+  STensorOperation::multSTensor3(Fe,UeInv,Re);
+  
+  STensorOperation::multSTensor3FirstTranspose(F,F,C);
+  STensorOperation::sqrtSTensor3(C,U);
+  STensorOperation::inverseSTensor3(U,UInv);
+  STensorOperation::multSTensor3(F,UInv,R);
+
+  STensorOperation::multSTensor3FirstTranspose(R,Re,Rtotal);
+  
+  if (stiff)
+  {
+    STensorOperation::zero(*DRtotalDDeltaEp);
+    //
+    static STensor3 plus_R;
+    double ff = 1e-8;
+    for (int i=0; i< 3; i++)
+    {
+      for (int j=i; j<3; j++)
+      {
+        static STensor3 plus_DeltaEp;
+        plus_DeltaEp = DeltaEp;
+        plus_DeltaEp(i,j) += 0.5*ff;
+        plus_DeltaEp(j,i) += 0.5*ff;
+        computeAnisotropyRotation(plus_R, F, plus_DeltaEp, Fp0);
+        for (int k=0; k< 3; k++)
+        {
+          for (int l=0; l<3; l++)
+          {
+            (*DRtotalDDeltaEp)(k,l,i,j) = (plus_R(k,l) -Rtotal(k,l))/(ff);
+            (*DRtotalDDeltaEp)(k,l,j,i) = (*DRtotalDDeltaEp)(k,l,i,j);
+          }
+        }
+      }
+    }
+    
+    STensorOperation::zero(*DRtotalDF);
+    for (int i=0; i< 3; i++)
+    {
+      for (int j=0; j<3; j++)
+      {
+        static STensor3 plus_F;
+        plus_F = F;
+        plus_F(i,j) += ff;
+        computeAnisotropyRotation(plus_R, plus_F, DeltaEp, Fp0);
+        for (int k=0; k< 3; k++)
+        {
+          for (int l=0; l<3; l++)
+          {
+            
+            (*DRtotalDF)(k,l,i,j) = (plus_R(k,l) -Rtotal(k,l))/(ff);
+          }
+        }
+      }
+    }
+  }
+  
+};
+                                                
+
+void mlawAnisotropicPlasticityHill48::computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPAnisotropicPlasticity* q0, IPAnisotropicPlasticity* q1, bool stiff) const
 {
+  const STensor3& Fp0 = q0->getConstRefToFp();
+  static STensor3 Rtotal;
+  static STensor43 DRtotalDF, DRtotalDDeltaEp;
+  computeAnisotropyRotation(Rtotal,F,DeltaEp,Fp0,stiff, &DRtotalDF, &DRtotalDDeltaEp);
+  
+  STensor43& M = q1->getRefToAnisotropicTensor();
+  STensor63& DMDF =q1->getRefToDAnisotropicTensorDF();
+  STensor63& DMDDeltaEp = q1->getRefToDAnisotropicTensorDEp();
+  
+  STensorOperation::zero(M);
+  if (stiff)
+  {
+    STensorOperation::zero(DMDF);
+    STensorOperation::zero(DMDDeltaEp);
+  }
+  
+  for (int i=0; i<3; i++)
+  {
+    for (int j=0; j<3; j++)
+    {
+      for (int k=0; k<3; k++)
+      {
+        for (int l=0; l<3; l++)
+        {
+          for (int p=0; p<3; p++)
+          {
+            for (int q=0; q<3; q++)
+            {
+              for (int r=0; r<3; r++)
+              {
+                for (int s=0; s<3; s++)
+                {
+                  M(i,j,k,l) += Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l);
+                  if (stiff)
+                  {
+                    for (int a=0; a<3; a++)
+                    {
+                      for (int b=0; b<3; b++)
+                      {
+                        DMDF(i,j,k,l,a,b) += DRtotalDF(p,i,a,b)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                 Rtotal(p,i)*DRtotalDF(q,j,a,b)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                  Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*DRtotalDF(r,k,a,b)*Rtotal(s,l)+ 
+                                                   Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*DRtotalDF(s,l,a,b);
+                                                   
+                        DMDDeltaEp(i,j,k,l,a,b) += DRtotalDDeltaEp(p,i,a,b)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                 Rtotal(p,i)*DRtotalDDeltaEp(q,j,a,b)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                  Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*DRtotalDDeltaEp(r,k,a,b)*Rtotal(s,l)+ 
+                                                   Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*DRtotalDDeltaEp(s,l,a,b);
+                      }
+                    }
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+};
+
+
+void mlawAnisotropicPlasticityHill48::yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
+                                  bool diff, std::vector<STensor3>* DFDsig, std::vector<double>* DFDR, std::vector<STensor3>* DFDDeltaEp, std::vector<STensor3>* DFDdefo) const
+{  
+  const STensor43& M = q1->getConstRefToAnisotropicTensor();
+  const STensor63& DMDFdefo = q1->getConstRefToDAnisotropicTensorDF();
+  const STensor63& DMDDeltaEp = q1->getConstRefToDAnisotropicTensorDEp();
+  
   static STensor3 SigEff;
-  STensorOperation::multSTensor43STensor3(_aniM, sig, SigEff);
+  STensorOperation::multSTensor43STensor3(M, sig, SigEff);
+
+  static STensor3 sEff;
+  sEff = SigEff.dev();
+
   double R0 = _j2IH->getYield0();
-  double sigEq = sqrt(1.5*SigEff.dotprod());
+  double sigEq = sqrt(1.5*sEff.dotprod());
   yf.resize(1);
   yf[0] = (sigEq - R)/R0;
   if (diff)
   {
-    STensorOperation::multSTensor3STensor43(SigEff,_aniM,(*DFDsig)[0]);
+    STensorOperation::multSTensor3STensor43(sEff,M,(*DFDsig)[0]);
     (*DFDsig)[0] *= (1.5/(sigEq*R0));
+    
     (*DFDR)[0] = -1./R0;
+   
+    static STensor43 temp;
+    STensorOperation::multSTensor3STensor63(sig, DMDDeltaEp, temp);
+    STensorOperation::multSTensor3STensor43(sigEq,temp,(*DFDDeltaEp)[0]);
+    (*DFDDeltaEp)[0] *= (1.5/(sigEq*R0));
+
+    STensorOperation::multSTensor3STensor63(sig, DMDFdefo, temp);
+    STensorOperation::multSTensor3STensor43(sigEq,temp,(*DFDdefo)[0]);
+    (*DFDdefo)[0] *= (1.5/(sigEq*R0));
   }
 };
 void mlawAnisotropicPlasticityHill48::getYieldNormal(std::vector<STensor3>& Np, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  bool diff, std::vector<STensor43>* DNpDsig, std::vector<STensor3>* DNpDR) const
+                                  bool diff, std::vector<STensor43>* DNpDsig, std::vector<STensor3>* DNpDR, std::vector<STensor43>* DNpDDeltaEp, std::vector<STensor43>* DNpDdefo) const
 {
-  static STensor3 SigEff;
-  STensorOperation::multSTensor43STensor3(_aniM, sig, SigEff);
+  const STensor43& M = q1->getConstRefToAnisotropicTensor();
+  const STensor63& DMDFdefo = q1->getConstRefToDAnisotropicTensorDF();
+  const STensor63& DMDDeltaEp = q1->getConstRefToDAnisotropicTensorDEp();
+  
+  
   int numberYield = getNumOfYieldSurfaces();
   double R0 = _j2IH->getYield0();
-  STensorOperation::multSTensor3STensor43(SigEff,_aniM,Np[0]);
+  static STensor3 SigEff;
+  STensorOperation::multSTensor43STensor3(M, sig, SigEff);
+  static STensor3 sEff;
+  sEff = SigEff.dev();
+  STensorOperation::multSTensor3STensor43(sEff,M,Np[0]);
   Np[0]*= (1.5/R0);
   if (diff)
   {
-    STensorOperation::multSTensor43(_aniM,_aniM,(*DNpDsig)[0]);
+    STensorOperation::multSTensor43(M,M,(*DNpDsig)[0]);
     (*DNpDsig)[0]*= (1.5/R0);
+    
     STensorOperation::zero((*DNpDR)[0]);
+    
+    static STensor43 tmp;
+    STensorOperation::multSTensor3STensor63(sig, DMDDeltaEp, tmp);
+    STensorOperation::multSTensor43(M,tmp,(*DNpDDeltaEp)[0]);
+    STensorOperation::multSTensor3STensor63Add(sEff, DMDDeltaEp, (*DNpDDeltaEp)[0]);
+    (*DNpDDeltaEp)[0] *= (1.5/R0);
+
+    STensorOperation::multSTensor3STensor63(sig, DMDFdefo, tmp);
+    STensorOperation::multSTensor43(M,tmp,(*DNpDdefo)[0]);
+    STensorOperation::multSTensor3STensor63Add(sEff, DMDFdefo, (*DNpDdefo)[0]);
+    (*DNpDdefo)[0] *= (1.5/R0);
   }
 };
diff --git a/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.h b/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.h
index 6d7211abace9f085c9d008ea5cc57fd3f5a6eba7..55510b0549c3294c30bc38834674ff83e6172add 100644
--- a/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.h
+++ b/NonLinearSolver/materialLaw/mlawAnisotropicPlasticity.h
@@ -88,11 +88,14 @@ class mlawAnisotropicPlasticity : public materialLaw
   protected:
     virtual int getNumOfYieldSurfaces() const {return 1;}
     double deformationEnergy(const STensor3 &C) const ;
+    virtual void computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPAnisotropicPlasticity* q0, IPAnisotropicPlasticity* q1, bool stiff) const=0;
     virtual bool withPlastic(const STensor3& F, const STensor3& kcor, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1) const;
     virtual void yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL) const=0;
+                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL,
+                                        std::vector<STensor3>* DFDDeltaEp=NULL, std::vector<STensor3>* DFDdefo=NULL) const=0;
     virtual void getYieldNormal(std::vector<STensor3>& Np, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL) const=0;
+                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL,
+                                        std::vector<STensor43>* DFNpDeltaEp=NULL, std::vector<STensor43>* DNpDdefo=NULL) const=0;
     virtual void computeResidual(const STensor3& DeltaEp, std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value 
                                         const STensor3& sig,  const double R, 
                                         const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1, 
@@ -104,7 +107,7 @@ class mlawAnisotropicPlasticity : public materialLaw
                                         std::vector<double>& Dres0DDeltaHatP, STensor3& Dres1DDeltaHatP, double& Dres2DDeltaHatP) const;
     virtual void computeDResidual(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value 
                                   const STensor3& sig, const double R,  const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                  const STensor43& DsigDEepr, const double H, 
+                                  const STensor43& DsigDEepr, const double H, const STensor43& EprToF,
                                   std::vector<STensor3>& Dres0DEepr, STensor43& Dres1DEepr, STensor3& Dres2DEepr) const;
                                   
     virtual void getResAndJacobian(fullVector<double>& res, fullMatrix<double>& J, 
@@ -122,9 +125,9 @@ class mlawAnisotropicPlasticity : public materialLaw
                               const STensor43& Lpr,
                               const STensor3& Fe, const STensor3& Fp, // corrector
                               const STensor43& L, const STensor63& dL, // corrector value
-                              const STensor43& DcorKirDEepr,
-                              const STensor43& dFpDEepr,
-                              const STensor43& EprToF, const STensor3& Fpinv
+                              const STensor43& DcorKirDF,
+                              const STensor43& dFpDF,
+                              const STensor3& Fpinv
                               ) const;
                                     
     virtual bool predictorCorector(const STensor3& F0,         // initial deformation gradient (input @ time n)
@@ -132,7 +135,6 @@ class mlawAnisotropicPlasticity : public materialLaw
                             STensor3 &P,                // updated 1st Piola-Kirchhoff stress tensor (output)
                             const IPAnisotropicPlasticity *q0,       // array of initial internal variable
                             IPAnisotropicPlasticity *q,             // updated array of internal variable (in ipvcur on output),
-
                             STensor43& Tangent,         // mechanical tangents (output)
                             STensor43& dFpdF, // plastic tangent
                             STensor43& dFedF,
@@ -157,11 +159,13 @@ class mlawAnisotropicPlasticityJ2 : public mlawAnisotropicPlasticity
     // function of materialLaw
     virtual matname getType() const {return materialLaw::J2;};
     virtual void setYieldParameters(const std::vector<double>& params){};
-    
+    virtual void computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPAnisotropicPlasticity* q0, IPAnisotropicPlasticity* q1, bool stiff) const{};
     virtual void yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL) const;
+                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL,
+                                        std::vector<STensor3>* DFDDeltaEp=NULL, std::vector<STensor3>* DFDdefo=NULL) const;
     virtual void getYieldNormal(std::vector<STensor3>& Np, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL) const;
+                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL,
+                                        std::vector<STensor43>* DFNpDeltaEp=NULL, std::vector<STensor43>* DNpDdefo=NULL) const;
   #endif // SWIG
 };
 
@@ -183,10 +187,16 @@ class mlawAnisotropicPlasticityHill48 : public mlawAnisotropicPlasticity
     virtual matname getType() const {return materialLaw::Hill48;};
     virtual void setYieldParameters(const std::vector<double>& params);
     
+    virtual void computeAnisotropyRotation(STensor3& Rtotal, const STensor3& F, const STensor3& DeltaEp, const STensor3& Fp0, 
+                                                bool stiff=false, STensor43* DMDF=NULL, STensor43* DMDDeltaEp=NULL) const;
+    
+    virtual void computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPAnisotropicPlasticity* q0, IPAnisotropicPlasticity* q1, bool stiff) const;
     virtual void yieldFunction(std::vector<double>& yf, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL) const;
+                                        bool diff=false, std::vector<STensor3>* DFDsig=NULL, std::vector<double>* DFDR=NULL,
+                                        std::vector<STensor3>* DFDDeltaEp=NULL, std::vector<STensor3>* DFDdefo=NULL) const;
     virtual void getYieldNormal(std::vector<STensor3>& Np, const STensor3& sig, const double R, const IPAnisotropicPlasticity* q0, const IPAnisotropicPlasticity* q1,
-                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL) const;
+                                        bool diff=false, std::vector<STensor43>* DNpDsig=NULL, std::vector<STensor3>* DNpDR=NULL,
+                                        std::vector<STensor43>* DNpDDeltaEp=NULL, std::vector<STensor43>* DNpDdefo=NULL) const;
   #endif // SWIG
 };
 
diff --git a/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.cpp b/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.cpp
index 7e6878351c985d619d77b93b6fa41cce50bf1ba1..5f4210600b29f3885fc5f0a114447678e4f10e86 100644
--- a/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.cpp
+++ b/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.cpp
@@ -38,7 +38,7 @@ mlawElecMagGenericThermoMech::mlawElecMagGenericThermoMech(const int num,
         _evaluateCurlField(evaluateCurlField),
         _evaluateTemperature(evaluateTemperature),
         applyReferenceF(false),_useEMStress(false), _EMFieldDependentShearModulus(false),
-        _alpha_e(0.0),_m_e(1.0),_g1(0.0)
+        _alpha_e(0.0),_m_e(1.0),_g1(0.0), _cVoltage(0.)
 {
     _genericThermoMechLaw = NULL;
 
@@ -117,7 +117,7 @@ mlawElecMagGenericThermoMech::mlawElecMagGenericThermoMech(const mlawElecMagGene
         _genericThermoMechLaw(NULL),
         applyReferenceF(source.applyReferenceF),
         _useEMStress(source._useEMStress),_EMFieldDependentShearModulus(source._EMFieldDependentShearModulus),
-        _alpha_e(source._alpha_e),_m_e(source._m_e),_g1(source._g1)
+        _alpha_e(source._alpha_e),_m_e(source._m_e),_g1(source._g1), _cVoltage(source._cVoltage)
 {
     if(source._genericThermoMechLaw!=NULL)
     {
@@ -179,6 +179,7 @@ mlawElecMagGenericThermoMech& mlawElecMagGenericThermoMech::operator=(const mate
         _alpha_e = src->_alpha_e;
         _m_e = src->_m_e;
         _g1 = src->_g1;
+         _cVoltage= src->_cVoltage;
     }
     return *this;
 }
@@ -233,6 +234,7 @@ void mlawElecMagGenericThermoMech::constitutive(
         STensor43        &Tangent,
         const double     T0,
         double           T,
+        double           V0,
         double           V,
         const SVector3   &gradT,
         const SVector3   &gradV,
@@ -262,6 +264,10 @@ void mlawElecMagGenericThermoMech::constitutive(
         double           &dwthdt,
         double           &dwthdV,
         STensor3         &dwthdF,
+        double           &wV,  //related to dV/dt
+        double           &dwVdt,
+        double           &dwVdV,
+        STensor3         &dwVdF,
         STensor3 &l10,
         STensor3 &l20,
         STensor3 &k10,
@@ -383,9 +389,20 @@ void mlawElecMagGenericThermoMech::constitutive(
                                         wth,dwthdt,dwthdF,mechSource,dmechSourcedT,
                                         dmechSourcedF,elasticTangent);
 
-    STensor3 invP_TM;
-    STensorOperation::zero(invP_TM);
-    STensorOperation::inverseSTensor3(P_TM,invP_TM);
+    P = P_TM;
+    if(stiff)
+    {
+        Tangent = dP_TMdF;
+        dPdT = dP_TMdT;
+    }
+
+    wV=0.;  //related to dV/dt
+    dwVdt=0.;
+    dwVdV=0.;
+    STensorOperation::zero(dwVdF);
+
+
+
 
     // if true then we solve EM problem and thus reevaluate Voltage field as well
     // else do not consider Voltage contributions -> TM problem
@@ -891,8 +908,8 @@ void mlawElecMagGenericThermoMech::constitutive(
             psiEMMeca = (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * (1.0 + (_g1 * invariant4 / _G)) * psiMeca;
             for(unsigned int K = 0; K < 3; ++K)
             {
-                Magnetization(K) = ((-2.0 * _alpha_e * psiMeca * B(K))/(_m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)))*(1.0 + (_g1 * invariant4 / _G));
-                Polarization(K) = (-2.0 * _g1 * psiMeca * E_field(K)/_G)*(1.0 + _alpha_e * std::tanh(invariant7/_m_e));
+                Magnetization(K) = (-2.0 * _alpha_e * psiMeca * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * (1.0 + (_g1 * invariant4 / _G)) * B(K))/(_m_e);
+                Polarization(K) = (-2.0 * _g1 * psiMeca * (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * E_field(K)/_G);
             }
         }
         else
@@ -1122,7 +1139,7 @@ void mlawElecMagGenericThermoMech::constitutive(
                         }
                         if(_EMFieldDependentShearModulus)
                         {
-                            dHdF(K,m,N) += (2.0 * _alpha_e * (1.0 + (_g1 * invariant4 / _G)) * B(K) * P_TM(m,N)/(_m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)));
+                            dHdF(K,m,N) += (2.0 * _alpha_e * (1.0 + (_g1 * invariant4 / _G)) * ( 1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e)) ) * B(K) * P_TM(m,N)/(_m_e));
 
                             dDdF(K,m,N) -= (2.0 * _g1 * (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * E_field(K) * P_TM(m,N)/_G);
                         }
@@ -1132,14 +1149,14 @@ void mlawElecMagGenericThermoMech::constitutive(
                 {
                     for(int M = 0; M < 3; ++M)
                     {
-                        dHdB(K,M) += ((-8.0 * _alpha_e * psiMeca * std::tanh(invariant7/_m_e) * B(K) * B(M)/(_m_e * _m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)))*(1.0 + (_g1 * invariant4 / _G))
-                                      + (2.0 * _alpha_e * psiMeca * I2(K,M)/(_m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)))*(1.0 + (_g1 * invariant4 / _G)));
+                        dHdB(K,M) -= (8.0 * _alpha_e * psiMeca * std::tanh(invariant7/_m_e) * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * (1.0 + (_g1 * invariant4 / _G)) * B(K) * B(M)/(_m_e * _m_e));
+                        dHdB(K,M) += (2.0 * _alpha_e * psiMeca * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * (1.0 + (_g1 * invariant4 / _G)) * I2(K,M)/(_m_e));
 
-                        dHdgradV(K,M) -= ( 4.0 * _alpha_e * psiMeca * _g1 * B(K) * E_field(M)/(_m_e * _G * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)) );
+                        dHdgradV(K,M) -= ( 4.0 * _alpha_e * psiMeca * _g1 * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * B(K) * E_field(M)/(_m_e * _G));
 
                         dDdgradV(K,M) += (2.0 * _g1 * (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * psiMeca * I2(K,M)/_G);
                         dDdA(K,M) += (2.0 * _g1 * (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * psiMeca * invdh * I2(K,M)/_G);
-                        dDdB(K,M) -= ( 4.0 * _g1 * _alpha_e * psiMeca * E_field(K) * B(M)/(_G * _m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)) );
+                        dDdB(K,M) -= (4.0 * _g1 * _alpha_e * psiMeca * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * E_field(K) * B(M)/(_G * _m_e));
                     }
                 }
             }
@@ -1179,15 +1196,12 @@ void mlawElecMagGenericThermoMech::constitutive(
             // To simulate elec-mechanics _alpha_e = 0.
             // To simulate magneto-mechanics _g1 = 0.
             // For coupled elec-magn-mechanics use non-zero _alpha_e and _g1
-            P = P_TM;
             P *= ( (1.0 + _alpha_e * std::tanh(invariant7/_m_e))*(1.0 + (_g1 * invariant4 / _G)) );
 
             // Tangent
             if(stiff)
             {
-                Tangent = dP_TMdF;
                 Tangent *= ( (1.0 + _alpha_e * std::tanh(invariant7/_m_e))*(1.0 + (_g1 * invariant4 / _G)) );
-                dPdT = dP_TMdT;
                 dPdT *= ( (1.0 + _alpha_e * std::tanh(invariant7/_m_e))*(1.0 + (_g1 * invariant4 / _G)) );
                 for(unsigned int i=0; i<3; i++)
                 {
@@ -1195,7 +1209,7 @@ void mlawElecMagGenericThermoMech::constitutive(
                     {
                         for(unsigned int K = 0; K < 3; K++)
                         {
-                            dPdB(i,J,K) += ((2.0 * P_TM(i,J) * _alpha_e * B(K) * (1.0 + (_g1 * invariant4 / _G)))/(_m_e * std::cosh(invariant7/_m_e) * std::cosh(invariant7/_m_e)));
+                            dPdB(i,J,K) += (2.0 * _alpha_e * (1.0 - (std::tanh(invariant7/_m_e) * std::tanh(invariant7/_m_e))) * (1.0 + (_g1 * invariant4 / _G)) * P_TM(i,J) * B(K)/(_m_e));
                             dPdE(i,J,K) += (2.0 * P_TM(i,J) * (1.0 + _alpha_e * std::tanh(invariant7/_m_e)) * _g1 * E_field(K)/_G);
                         }
                     }
@@ -1203,16 +1217,7 @@ void mlawElecMagGenericThermoMech::constitutive(
             }
         }
         // in case of no EM field dependent shear modulus
-        // take into account TM stress and tangents
-        else
-        {
-            P = P_TM;
-            if(stiff)
-            {
-                Tangent = dP_TMdF;
-                dPdT = dP_TMdT;
-            }
-        }
+        // take into account TM stress and tangents -> already done before if(_evaluateCurlField)
 
         // Compute stresses Maxwell, Mag-mech and Elec-mech here
         if(_useEMStress)
@@ -1236,37 +1241,37 @@ void mlawElecMagGenericThermoMech::constitutive(
 
             for(unsigned int i = 0; i < 3; ++i)
             {
-                for(unsigned int j = 0; j < 3; ++j)
+                for(unsigned int J = 0; J < 3; ++J)
                 {
-                    for(unsigned int k = 0; k < 3; ++k)
+                    for(unsigned int K = 0; K < 3; ++K)
                     {
                         if(_mu_8 != 0.0)
-                            PmagMech(i,j) += rho * (1.0/_mu_8) * Ftot(i,k) * B(k) * B(j);
+                            PmagMech(i,J) += rho * (1.0/_mu_8) * Ftot(i,K) * B(K) * B(J);
 
-                        for(unsigned int l = 0; l < 3; ++l)
+                        Pmaxwell(i,J) += 1.0/(Jactot * vacuum_permeability) * FtotInv(K,i) * (Ctot(K,K) * B(K) * B(J));
+                        for(unsigned int L = 0; L < 3; ++L)
                         {
                             if(_mu_9 != 0.0)
-                                PmagMech(i,j) += rho * (1.0/_mu_9) * Ftot(i,k) * B(k) * Ctot(j,l) * B(l);
+                                PmagMech(i,J) += rho * (1.0/_mu_9) * Ftot(i,K) * B(K) * Ctot(J,L) * B(L);
 
                             if(_mu_9 != 0.0)
-                                PmagMech(i,j) += rho * (1.0/_mu_9) * Ftot(i,l) * Ctot(l,k) * B(k) * B(j);
+                                PmagMech(i,J) += rho * (1.0/_mu_9) * Ftot(i,L) * Ctot(L,K) * B(K) * B(J);
 
                             if(_epsilon_5 != 0.0)
-                                PelecMech(i,j) -= rho * _epsilon_5 * FtotInv(k,i) * E_field(k) * CtotInv(j,l) * E_field(l);
+                                PelecMech(i,J) -= rho * _epsilon_5 * FtotInv(K,i) * E_field(K) * CtotInv(J,L) * E_field(L);
 
-                            Pmaxwell(i,j) += 1.0/(Jactot * vacuum_permeability) * FtotInv(k,i) * (B(k) * (Ctot(j,l) * B(l)));
-                            Pmaxwell(i,j) += Jactot * vacuum_permittivity * FtotInv(k,i) * ((CtotInv(k,l) * E_field(l)) * E_field(j));
+                            Pmaxwell(i,J) += Jactot * vacuum_permittivity * FtotInv(K,i) * (E_field(K) * CtotInv(L,J) * E_field(L));
 
-                            for(unsigned int m = 0; m <3; ++m)
+                            for(unsigned int M = 0; M <3; ++M)
                             {
                                 if(_epsilon_6 != 0.0)
-                                    PelecMech(i,j) -= rho * _epsilon_6 * FtotInv(k,i) * E_field(k) * CtotInv(j,l) *CtotInv(l,m) * E_field(m);
+                                    PelecMech(i,J) -= rho * _epsilon_6 * FtotInv(K,i) * E_field(K) * CtotInv(J,L) *CtotInv(L,M) * E_field(M);
 
                                 if(_epsilon_6 != 0.0)
-                                    PelecMech(i,j) -= rho * _epsilon_6 * FtotInv(k,i) * CtotInv(k,l) * E_field(l) * CtotInv(j,m) * E_field(m);
+                                    PelecMech(i,J) -= rho * _epsilon_6 * FtotInv(K,i) * CtotInv(K,L) * E_field(L) * CtotInv(J,M) * E_field(M);
 
-                                Pmaxwell(i,j) += 1.0/(Jactot * vacuum_permeability) * FtotInv(k,i) * (-0.5 * (B(l) * Ctot(l,m) * B(m)) * I2(k,j));
-                                Pmaxwell(i,j) += Jactot * vacuum_permittivity * FtotInv(k,i) * (-0.5 * (E_field(l) * CtotInv(l,m) * E_field(m)) * I2(k,j));
+                                Pmaxwell(i,J) += 1.0/(Jactot * vacuum_permeability) * FtotInv(K,i) * (-0.5 * (B(L) * Ctot(L,M) * B(M)) * I2(K,J));
+                                Pmaxwell(i,J) += Jactot * vacuum_permittivity * FtotInv(K,i) * (-0.5 * (E_field(L) * CtotInv(L,M) * E_field(M)) * I2(K,J));
                             }
                         }
                     }
@@ -1303,25 +1308,25 @@ void mlawElecMagGenericThermoMech::constitutive(
                                             dPelecMechdFtot(i,J,r,S) += rho * _epsilon_5 * (FtotInv(L,i) * E_field(L) * CtotInv(J,S) * FtotInv(K,r) * E_field(K));
                                         }
 
-                                        dPmaxwelldFtot(i,J,r,S) += Jactot * vacuum_permittivity * FtotInv(L,i) * CtotInv(L,K) * E_field(K) * E_field(J) * FtotInv(S,r);
-                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(S,i) * FtotInv(L,r) * CtotInv(L,K) * E_field(K) * E_field(J);
-                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(L,i) * FtotInv(L,r) * CtotInv(S,K) * E_field(K) * E_field(J);
-                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(L,i) * CtotInv(L,S) * FtotInv(K,r) * E_field(K) * E_field(J);
+                                        dPmaxwelldFtot(i,J,r,S) += Jactot * vacuum_permittivity * FtotInv(L,i) * E_field(L) * CtotInv(K,J) * E_field(K) * FtotInv(S,r);
+                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(S,i) * FtotInv(L,r) * E_field(L) * CtotInv(K,J) * E_field(K);
+                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(L,i) * E_field(L) * FtotInv(K,r) * CtotInv(S,J) * E_field(K);
+                                        dPmaxwelldFtot(i,J,r,S) -= Jactot * vacuum_permittivity * FtotInv(L,i) * E_field(L) * CtotInv(K,S) * FtotInv(J,r) * E_field(K);
 
                                         dPmaxwelldFtot(i,J,r,S) -= 0.5 * Jactot * vacuum_permittivity * E_field(L) * CtotInv(L,K) * E_field(K) * FtotInv(J,i) * FtotInv(S,r);
                                         dPmaxwelldFtot(i,J,r,S) += 0.5 * Jactot * vacuum_permittivity * E_field(L) * CtotInv(L,K) * E_field(K) * FtotInv(S,i) * FtotInv(J,r);
                                         dPmaxwelldFtot(i,J,r,S) += 0.5 * Jactot * vacuum_permittivity * E_field(L) * FtotInv(L,r) * CtotInv(S,K) * E_field(K) * FtotInv(J,i);
                                         dPmaxwelldFtot(i,J,r,S) += 0.5 * Jactot * vacuum_permittivity * E_field(L) * CtotInv(L,S) * FtotInv(K,r) * E_field(K) * FtotInv(J,i);
 
-                                        dPmaxwelldFtot(i,J,r,S) -= 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * B(L) * Ctot(J,K) * B(K) * FtotInv(S,r);
-                                        dPmaxwelldFtot(i,J,r,S) -= 1.0/(Jactot * vacuum_permeability) * FtotInv(S,i) * FtotInv(L,r) * B(L) * Ctot(J,K) * B(K);
-                                        dPmaxwelldFtot(i,J,r,S) += 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * B(L) * I2(J,S) * Ftot(r,K) * B(K);
-
                                         dPmaxwelldFtot(i,J,r,S) += 0.5/(Jactot * vacuum_permeability) * B(L) * Ctot(L,K) * B(K) * FtotInv(J,i) * FtotInv(S,r);
                                         dPmaxwelldFtot(i,J,r,S) += 0.5/(Jactot * vacuum_permeability) * B(L) * Ctot(L,K) * B(K) * FtotInv(S,i) * FtotInv(J,r);
 
                                     }
-                                    dPmaxwelldFtot(i,J,r,S) += 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * B(L) * Ftot(r,J) * B(S);
+                                    dPmaxwelldFtot(i,J,r,S) -= 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * Ctot(L,L) * B(L) * B(J) * FtotInv(S,r);
+                                    dPmaxwelldFtot(i,J,r,S) -= 1.0/(Jactot * vacuum_permeability) * FtotInv(S,i) * FtotInv(L,r) * Ctot(L,L) * B(L) * B(J);
+                                    dPmaxwelldFtot(i,J,r,S) += 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * I2(L,S) * Ftot(r,L) * B(L) * B(J);
+                                    dPmaxwelldFtot(i,J,r,S) += 1.0/(Jactot * vacuum_permeability) * FtotInv(L,i) * Ftot(S,r) * B(L) * B(J);
+
                                     dPmaxwelldFtot(i,J,r,S) -= 0.5/(Jactot * vacuum_permeability) * B(S) * Ftot(r,L) * B(L) * FtotInv(J,i);
                                     dPmaxwelldFtot(i,J,r,S) -= 0.5/(Jactot * vacuum_permeability) * B(L) * Ftot(r,L) * B(S) * FtotInv(J,i);
                                 }
@@ -1353,11 +1358,12 @@ void mlawElecMagGenericThermoMech::constitutive(
 
                             for(int M=0; M<3; M++)
                             {
-                                dPmaxwelldB(i,J,K) += 1.0/(Jactot * vacuum_permeability) * FtotInv(K,i) * Ctot(J,M) * B(M);
-                                dPmaxwelldB(i,J,K) += 1.0/(Jactot * vacuum_permeability) * FtotInv(M,i) * B(M) * Ctot(J,K);
+                                dPmaxwelldB(i,J,K) += 1.0/(Jactot * vacuum_permeability) * FtotInv(M,i) * Ctot(M,K) * B(J);
+                                dPmaxwelldB(i,J,K) += 1.0/(Jactot * vacuum_permeability) * FtotInv(M,i) * Ctot(M,M) * B(M) * I2(J,K);
                                 dPmaxwelldB(i,J,K) -= 1.0/(Jactot * vacuum_permeability) * FtotInv(J,i) * Ctot(K,M) * B(M);
 
-                                dPmaxwelldE(i,J,K) += Jactot * vacuum_permittivity * FtotInv(M,i) * CtotInv(M,K) * E_field(J);
+                                dPmaxwelldE(i,J,K) += Jactot * vacuum_permittivity * FtotInv(K,i) * CtotInv(M,J) * E_field(M);
+                                dPmaxwelldE(i,J,K) += Jactot * vacuum_permittivity * FtotInv(M,i) * E_field(M) * CtotInv(K,J);
                                 dPmaxwelldE(i,J,K) -= Jactot * vacuum_permittivity * FtotInv(J,i) * CtotInv(K,M) * E_field(M);
 
                                 if(_mu_8 != 0.0)
@@ -1371,11 +1377,6 @@ void mlawElecMagGenericThermoMech::constitutive(
                                     dPelecMechdE(i,J,K) -= rho * _epsilon_5 * FtotInv(M,i) * E_field(M) * CtotInv(J,K);
                                 }
 
-                                for(int N=0; N<3; N++)
-                                {
-                                    dPmaxwelldE(i,J,K) += Jactot * vacuum_permittivity * FtotInv(M,i) * CtotInv(M,N) * E_field(N) * I2(J,K);
-                                }
-
                             }
 
                         }
@@ -1397,4 +1398,21 @@ void mlawElecMagGenericThermoMech::constitutive(
             }
         }
     }
-}
\ No newline at end of file
+    
+    const double dh = getTimeStep();
+    if(dh>0.0)// create some dissipation
+    {
+        wV = -_cVoltage*(V-V0)/dh;
+        dwVdt = 0.;
+        dwVdV = - _cVoltage/dh;
+        STensorOperation::zero(dwVdV);
+    }
+    else
+    {
+        wV=0.;
+        dwVdt = 0.;
+        dwVdV = 0.;
+        STensorOperation::zero(dwVdV);
+    }
+
+}
diff --git a/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.h b/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.h
index 7af4ba0d03695e532790e07af286e177266605ce..7835195e77c712172e2ddb908cf40de738cfa972 100644
--- a/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.h
+++ b/NonLinearSolver/materialLaw/mlawElecMagGenericThermoMech.h
@@ -31,6 +31,9 @@ protected:
     double _lz;
     // Initial electric scalar potential
     double _v0;
+    // electric dissipation 
+    double _cVoltage;
+    
     // Magnetic permeability directional components
     double _mu_x;
     double _mu_y;
@@ -162,6 +165,10 @@ public:
         _m_e = m_e;
         _g1 = g1;
     }
+    void setCVoltage(double cVoltage){   _cVoltage=cVoltage;} 
+
+
+
 
 #ifndef SWIG
     virtual ~mlawElecMagGenericThermoMech()
@@ -234,6 +241,7 @@ public:
             STensor43        &Tangent,
             const double     T0,
             double           T,
+            double           V0,
             double           V,
             const SVector3   &gradT,
             const SVector3   &gradV,
@@ -263,6 +271,10 @@ public:
             double           &dwthdt,
             double           &dwthdV,
             STensor3         &dwthdF,
+            double           &wV,  //related to dV/dt
+            double           &dwVdt,
+            double           &dwVdV,
+            STensor3         &dwVdF,
             STensor3 &l10,
             STensor3 &l20,
             STensor3 &k10,
diff --git a/NonLinearSolver/materialLaw/mlawElecSMP.cpp b/NonLinearSolver/materialLaw/mlawElecSMP.cpp
index 903b0bb01b600afd494518a9c77ac4e110007e92..3e559197d6e2bfdd81112387b36238e7a09381b0 100644
--- a/NonLinearSolver/materialLaw/mlawElecSMP.cpp
+++ b/NonLinearSolver/materialLaw/mlawElecSMP.cpp
@@ -163,6 +163,7 @@ void mlawElecSMP::constitutive(
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,			// initial Temperature
 			    double T,			// updated Temperature
+			    double V0,			// updated Voltage
 			    double V,			// updated Voltage
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawElecSMP.h b/NonLinearSolver/materialLaw/mlawElecSMP.h
index 13c119520fee80b7fb4f806c1039f1b348af9b39..9eaf8d8f8378106c67d8cc8df7add695bfedb9b4 100644
--- a/NonLinearSolver/materialLaw/mlawElecSMP.h
+++ b/NonLinearSolver/materialLaw/mlawElecSMP.h
@@ -79,6 +79,7 @@ public:
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,
 			    double T,
+			    double V0,
 			    double V,
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawHyperelastic.cpp b/NonLinearSolver/materialLaw/mlawHyperelastic.cpp
index e15627afd345e1775f0abda078bd5edca516a235..5ed49eeaa8254666715e054521cfd7c8481d2961 100644
--- a/NonLinearSolver/materialLaw/mlawHyperelastic.cpp
+++ b/NonLinearSolver/materialLaw/mlawHyperelastic.cpp
@@ -401,66 +401,6 @@ void mlawHyperViscoElastic::evaluatePhiPCorrection(double tr, const STensor3 &de
             // Msg::Error(" Inside extraBranch_Hyper Type = TensionCompressionRegularisedType, D1 = 0. or D4 = 0., incompatibility with Mullin's effect");
         } 
     }
-    /*else if(_extraBranchNLType == hyper_exp_TCasymm_Type){
-
-            // Msg::Error(" Inside evaluatePhiPCorrection, A_v = %e, B_d = %e !!", A_v, B_d);
-            // Regularising function
-            double m = _tensionCompressionRegularisation;
-            double expmtr = exp(-m*tr);
-            // if (exp(-m*tr)<1.e+10){ expmtr = exp(-m*tr);}
-            double sigmoid = 1/(1.+expmtr);
-
-            double x1 = getXiVolumeCorrection()*tr*tr + getZetaVolumeCorrection();
-            double x2 = _xivolCorrection2*tr*tr + _zetavolCorrection2;
-
-            A_v = -1. + sigmoid*(getVolumeCorrection()/sqrt(x1)) + (1-sigmoid)*_compCorrection*(getVolumeCorrection()/sqrt(x1) + _volCorrection2*exp(x2));
-
-            dA_vdE = sigmoid*(-getVolumeCorrection()*getXiVolumeCorrection()*tr/pow(x1,1.5))
-             		   + (1.-sigmoid)*_compCorrection*( -getVolumeCorrection()*getXiVolumeCorrection()*tr/pow(x1,1.5) + 2*_volCorrection2*_xivolCorrection2*tr*exp(x2))
-                        + (m*expmtr/pow((1.+expmtr),2.))*getVolumeCorrection()*1./sqrt(x1) - (m*expmtr/pow((1.+expmtr),2.))*_compCorrection*(getVolumeCorrection()/sqrt(x1) + _volCorrection2*exp(x2)) ;
-
-             if(getXiVolumeCorrection()>0. && _xivolCorrection2>0.){
-                 double integrand1 = 1./getXiVolumeCorrection()*sqrt(x1); // integral of A_v * trEe
-                 integrand1 -= ( 1./getXiVolumeCorrection()*sqrt(getZetaVolumeCorrection()) ); // value at trEe = 0.
-                 integrand1 *= getVolumeCorrection();
-
-                 double integrand2 = exp(x2)/(2*_xivolCorrection2);
-                 integrand2 -= exp(_zetavolCorrection2)/(2*_xivolCorrection2);
-     			integrand2 *= _volCorrection2;
-
-                 intA = - tr*tr/2. + sigmoid*integrand1 + (1.-sigmoid)*_compCorrection*(integrand1 + integrand2);
-             }
-             else{
-                 intA = - tr*tr/2.;
-             }
-
-             double y1 = getThetaDevCorrection()*dev.dotprod() + getPiDevCorrection();
-             double y2 = _thetadevCorrection2*dev.dotprod() + _pidevCorrection2;
-             B_d = -1. + sigmoid*(getDevCorrection()/sqrt(y1)) + (1-sigmoid)*_compCorrection*(getDevCorrection()/sqrt(y1) + _devCorrection2*exp(y2));
-
-             STensorOperation::zero(dB_vddev);
-             dB_vddev = dev;
-             dB_vddev *= ( sigmoid*(-getDevCorrection()*getThetaDevCorrection()/pow(y1,1.5))
-             				+ (1.-sigmoid)*_compCorrection*( -getDevCorrection()*getThetaDevCorrection()/pow(y1,1.5) + 2*_devCorrection2*_thetadevCorrection2*exp(y2)) );
-             if(dB_dTrEe!=NULL){
-                  *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*getDevCorrection()*1./sqrt(y1) - (m*expmtr/pow((1.+expmtr),2.))*_compCorrection*(getDevCorrection()/sqrt(y1) + _devCorrection2*exp(y2));
-              }
-              if(getThetaDevCorrection()>0. && _thetadevCorrection2>0.){
-
-                  double integrand1 = 1./getThetaDevCorrection()*sqrt(y1);  // integral of B_d * devEe
-                  integrand1 -= (1./getThetaDevCorrection()*sqrt(getPiDevCorrection()) );  // value at devEe = 0.
-                  integrand1 *= getDevCorrection();
-
-                  double integrand2 = exp(y2)/(2*_thetadevCorrection2);
-                  integrand2 -= exp(_pidevCorrection2)/(2*_thetadevCorrection2);
-      			integrand2 *= _devCorrection2;
-
-      			intB = -dev.dotprod()/2. + sigmoid*integrand1 + (1.-sigmoid)*_compCorrection*(integrand1 + integrand2);
-              }
-              else{
-                  intB = -dev.dotprod()/2.;
-              }
-    }*/
     else if(_extraBranchNLType == hyper_exp_TCasymm_Type){ // hyper_TCasymm_Type2
 
     			// To make it simpler for the sake of it
@@ -485,24 +425,26 @@ void mlawHyperViscoElastic::evaluatePhiPCorrection(double tr, const STensor3 &de
     	        double sigmoid = 1/(1.+expmtr);
 
     	        double x1 = V1*tr*tr + V2;
-    	        double x2 = V4*tr*tr + V5;
-    	        A_v = -1. + sigmoid*( (1./sqrt(x1)+V3*(1+tanh(x2))) ) + (1-sigmoid)*_compCorrection*( 1./sqrt(x1)+V3 );
+    	        double x2 = V4*tr*tr;
+    	        A_v = -1. + sigmoid*( (1./sqrt(x1)+V3*(V5 + tanh(x2))) ) + (1-sigmoid)*_compCorrection*( 1./sqrt(x1)+V0 );
 
     	        dA_vdE = -sigmoid*(V1*tr/pow(x1,1.5) - V3*(2*V4*tr*pow(1/cosh(x2),2))) - (1.-sigmoid)*(V1*_compCorrection*tr/pow(x1,1.5))
-                           + (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1)+ V3*(1+tanh(x2)))- (_compCorrection*m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + V3);
+                           + (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1)+ V3*(V5+tanh(x2)))- (_compCorrection*m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + V0);
 
                 if(V1>0.){
-                    double integrand1 = 1./V1*sqrt(x1) + V3*tr*tr/2.; // integral of A_v * trEe
+                    double integrand1 = 1./V1*sqrt(x1) + V3*V5*tr*tr/2.; // integral of A_v * trEe
                     double integrand2 = 0.;
+                    double integrand3 = 1./V1*sqrt(x1) + V0*tr*tr/2.; // integral of A_v * trEe
                     if(V4 != 0.){
                     	integrand2 = V3/(2.*V4)*log(cosh(x2));
                     }
                     integrand1 -= ( 1./V1*sqrt(V2) ); // value at trEe = 0.
-                    intA = - tr*tr/2. + sigmoid*(integrand1 + integrand2) + _compCorrection*(1.-sigmoid)*integrand1;
+                    integrand3 -= ( 1./V1*sqrt(V2) ); // value at trEe = 0.
+                    intA = - tr*tr/2. + sigmoid*(integrand1 + integrand2) + _compCorrection*(1.-sigmoid)*integrand3;
                     // intA *= getVolumeCorrection();
 
                     if(DintA!=NULL){
-                    	*DintA = (m*expmtr/pow((1.+expmtr),2.))*integrand1 - (Ci*m*expmtr/pow((1.+expmtr),2.))*integrand2;
+                    	*DintA = (m*expmtr/pow((1.+expmtr),2.))*(integrand1 + integrand2) - (Ci*m*expmtr/pow((1.+expmtr),2.))*integrand3;
                     }
                 }
                 else{
@@ -510,31 +452,33 @@ void mlawHyperViscoElastic::evaluatePhiPCorrection(double tr, const STensor3 &de
                 }
 
     	        double y1 = D1*dev.dotprod() + D2;
-    	        double y2 = D4*dev.dotprod() + D5;
+    	        double y2 = D4*dev.dotprod();
 
-    	        B_d = -1. + sigmoid*(1./sqrt(y1) + D3*(1+tanh(y2))) + (1.-sigmoid)*(_compCorrection*(1./sqrt(y1) + D3)) ;
+    	        B_d = -1. + sigmoid*(1./sqrt(y1) + D3*(D5+tanh(y2))) + (1.-sigmoid)*(_compCorrection*(1./sqrt(y1) + D0)) ;
 
     	        STensorOperation::zero(dB_vddev);
     	        dB_vddev = dev;
     	        dB_vddev *= (-sigmoid*(D1/pow(y1,1.5) - D3*(2*D4*pow(1/cosh(y2),2))) - (1.-sigmoid)*(D1*_compCorrection/pow(y1,1.5)));
 
                 if(dB_dTrEe!=NULL){
-                    *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(y1) + D3*(1+tanh(y2))) - (m*expmtr/pow((1.+expmtr),2.))*(_compCorrection*(1./sqrt(y1) + D3));
+                    *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(y1) + D3*(D5+tanh(y2))) - (m*expmtr/pow((1.+expmtr),2.))*(_compCorrection*(1./sqrt(y1) + D0));
                     // *dB_dTrEe *= getDevCorrection();
                 }
 
                 if(D1>0.){
-                    double integrand1 = 1./D1*sqrt(y1) + D3*dev.dotprod()/2.;  // integral of B_d * devEe
+                    double integrand1 = 1./D1*sqrt(y1) + D3*D5*dev.dotprod()/2.;  // integral of B_d * devEe
                     double integrand2 = 0.;
+                    double integrand3 = 1./D1*sqrt(y1) + D0*dev.dotprod()/2.;  // integral of B_d * devEe
                     if(D4 != 0.){
                     	integrand2 = D3/(2.*D4)*log(cosh(y2));
                     }
                     integrand1 -= (1./D1*sqrt(D2) );  // value at devEe = 0.
-                    intB = -dev.dotprod()/2. + sigmoid*(integrand1 + integrand2) + _compCorrection*(1.-sigmoid)*integrand1;
+                    integrand3 -= (1./D1*sqrt(D2) );  // value at devEe = 0.
+                    intB = -dev.dotprod()/2. + sigmoid*(integrand1 + integrand2) + _compCorrection*(1.-sigmoid)*integrand3;
                     // intB *= getDevCorrection();
 
                     if(DintB!=NULL){
-                    	*DintB = (m*expmtr/pow((1.+expmtr),2.))*integrand1 - (Ci*m*expmtr/pow((1.+expmtr),2.))*integrand2;
+                    	*DintB = (m*expmtr/pow((1.+expmtr),2.))*(integrand1 + integrand2) - (Ci*m*expmtr/pow((1.+expmtr),2.))*integrand3;
                     }
                 }
                 else{
diff --git a/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.cpp b/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.cpp
index d24596f66cbd4e933dbafd5bcce2ee37f0758989..dd507be329540357187cc0cd2cccdebf6c3fca2d 100644
--- a/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.cpp
+++ b/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.cpp
@@ -136,6 +136,7 @@ void mlawLinearElecMagTherMech::constitutive(
                                             STensor43 &Tangent,         // constitutive tangents (output)
                                             double T0,
                                             double T,
+                                            double V0,
                                             double V,
                                             const SVector3 &gradT,
                                             const SVector3 &gradV,
@@ -157,6 +158,10 @@ void mlawLinearElecMagTherMech::constitutive(
                                             double &dw_Tdt,
                                             double &dw_TdV,
                                             STensor3 &dw_Tdf,
+                                            double &wV,  //related to dV/dt
+                                            double &dwVdt,
+                                            double &dwVdV,
+                                            STensor3 &dwVdF,
                                             STensor3 &l10,
                                             STensor3 &l20,
                                             STensor3 &k10,
@@ -250,7 +255,7 @@ void mlawLinearElecMagTherMech::constitutive(
                            )const
 {
     mlawLinearElecTherMech::constitutive(F0,Fn, P, (const IPLinearElecTherMech *) q0, (IPLinearElecTherMech *) q1,
-                                         Tangent, T0, T, V, gradT, gradV, fluxT, fluxje, dPdT, dPdV, dqdgradT, dqdT,
+                                         Tangent, T0, T, V0, V, gradT, gradV, fluxT, fluxje, dPdT, dPdV, dqdgradT, dqdT,
                                          dqdgradV, dqdV, dedV, dedgradV, dedT,
                                          dedgradT, dqdF, dedF, w_T, dw_Tdt, dw_Tdf, l10, l20, k10, k20, dl10dT, dl20dT,
                                          dk10dT, dk20dT, dl10dv, dl20dv, dk10dv, dk20dv,
@@ -313,6 +318,13 @@ void mlawLinearElecMagTherMech::constitutive(
     STensorOperation::zero(dVoltageEMFieldSourcedV);
     STensorOperation::zero(dVoltageEMFieldSourcedGradV);
 
+    wV=0.;  //related to dV/dt
+    dwVdt=0.;
+    dwVdV=0.;
+    STensorOperation::zero(dwVdF);
+
+
+
     static STensor3 dldT,dkdT,dnudT;
     double dseebeckdT = 0.0;
     STensor33 d_nu0dB(0.0);
diff --git a/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.h b/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.h
index 98697e2a821949a1e4d7544c2c8a368b4271ae7b..b2ccf4f172b5868a9adfae80790fcafa74d76398 100644
--- a/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.h
+++ b/NonLinearSolver/materialLaw/mlawLinearElecMagTherMech.h
@@ -88,6 +88,7 @@ class mlawLinearElecMagTherMech : public mlawLinearElecTherMech
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,
                             double T,
+                            double V0,
                             double V,
                             const SVector3 &gradT,
                             const SVector3 &gradV,
@@ -109,6 +110,10 @@ class mlawLinearElecMagTherMech : public mlawLinearElecTherMech
                             double &dw_Tdt,
                             double &dw_TdV,
                             STensor3 &dw_Tdf,
+                            double &wV,  //related to dV/dt
+                            double &dwVdt,
+                            double &dwVdV,
+                            STensor3 &dwVdF,
                             STensor3 &l10,
                             STensor3 &l20,
                             STensor3 &k10,
diff --git a/NonLinearSolver/materialLaw/mlawLinearElecTherMech.cpp b/NonLinearSolver/materialLaw/mlawLinearElecTherMech.cpp
index a8182f8e8378224fdc00e67a7f82025c91f7f143..4b3acf36c1446580784560ebfe132c6e6fd2dfda 100644
--- a/NonLinearSolver/materialLaw/mlawLinearElecTherMech.cpp
+++ b/NonLinearSolver/materialLaw/mlawLinearElecTherMech.cpp
@@ -140,6 +140,7 @@ void mlawLinearElecTherMech::constitutive(
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,
 			    double T,
+			    double V0,
 			    double V,
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawLinearElecTherMech.h b/NonLinearSolver/materialLaw/mlawLinearElecTherMech.h
index c204fccfaddf0e2afe026f50ddd27bcac9973780..93155dca968b976a20b20dba1c718ac675becc04 100644
--- a/NonLinearSolver/materialLaw/mlawLinearElecTherMech.h
+++ b/NonLinearSolver/materialLaw/mlawLinearElecTherMech.h
@@ -66,6 +66,7 @@ public:
                             STensor43 &Tangent,         // constitutive tangents (output)
                             double T0,
 			    double T,
+			    double V0,			
 			    double V,
   			    const SVector3 &gradT,
 			    const SVector3 &gradV,
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.cpp b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.cpp
index 7db46ba61b9be195ea518d152d4eb08fc27de70f..8492c3f2c89c98c7a579c792b4f398b38b3c8993 100644
--- a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.cpp
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.cpp
@@ -474,18 +474,60 @@ void mlawNonLinearTVENonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow_nonL
   DlnDCe = DlnDCepr;
   
   // update A, B -> ExtraBranch calculations are within
-  double Ke(0.), Ge(0.), Ke_pr(0.), Ge_pr(0.), DKDTsum(0.), DGDTsum(0.);
+  double Ke(0.), Ge(0.), Ke_pr(0.), Ge_pr(0.);
   static STensor43 Ge_Tensor_pr, Ge_Tensor, Bd_stiffnessTerm, Ge_TrEeTensor_pr, Ge_TrEeTensor;
   STensorOperation::zero(Ge_Tensor_pr); STensorOperation::zero(Ge_Tensor);
   STensorOperation::zero(Ge_TrEeTensor_pr); STensorOperation::zero(Ge_TrEeTensor);
   
+  // NEW EIGEN
+  static fullVector<int> alignedIndex(3); alignedIndex(0) = 0; alignedIndex(1) = 1; alignedIndex(2) = 2;
+  static STensor3 Ee0_rot, R;
+  static STensor43 dRdEe, dRtdEe, rotationStiffness_pr ,rotationStiffness;
+  STensorOperation::zero(rotationStiffness_pr); STensorOperation::zero(rotationStiffness);
+  q1->_Ee0 = q0->_Ee;
+  mlawNonLinearTVM::rotationTensor_N_to_Nplus1(q0->_Ee0,q0->_Fe,Fe,Ce,Ee,q0->_Ee,R,dRdEe,dRtdEe);
+  for(int i=0; i<3; i++)
+    for(int j=0; j<3; j++){
+  	 Ee0_rot(i,j) = 0.;
+  	 for(int k=0; k<3; k++)
+  	   for(int l=0; l<3; l++)
+  	     Ee0_rot(i,j) += R(i,k)*q0->_Ee(k,l)*R(j,l);
+    }
+  // NEW EIGEN
+
+  // NEW EIGEN
+  if ((_Ki.size() > 0) or (_Gi.size() > 0)){
+	  for (int i=0; i<_Gi.size(); i++){
+		  for(int k=0; k<3; k++)
+		 	for(int l=0; l<3; l++){
+			   q1->_A_rot[i](k,l) = 0.;
+   		  	   for(int p=0; p<3; p++)
+		 		 for(int q=0; q<3; q++)
+		 		  q1->_A_rot[i](k,l) += R(k,p)*q0->_A[i](p,q)*R(l,q);
+		 	   }
+	  }
+  }
+  // NEW EIGEN
+
   if (_extraBranchNLType == TensionCompressionRegularisedType  || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
-      // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3,',(
-	  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm,&Ge_TrEeTensor);
-        Ge_TrEeTensor_pr = Ge_TrEeTensor;
+      // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm,&Ge_TrEeTensor);
+	  }
+	  else{
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,stiff,alignedIndex,Bd_stiffnessTerm,&Ge_TrEeTensor,&rotationStiffness); // NEW EIGEN
+	  }
+      Ge_TrEeTensor_pr = Ge_TrEeTensor;
+      rotationStiffness_pr = rotationStiffness;
   }
   else{ 
-	  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm);
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
+	  }
+	  else{
+	      mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,stiff,alignedIndex,Bd_stiffnessTerm,NULL,&rotationStiffness); // NEW EIGEN
+	  }
+	  rotationStiffness_pr = rotationStiffness;
   }
     
   Ge_Tensor = _I4;
@@ -499,6 +541,27 @@ void mlawNonLinearTVENonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow_nonL
   Ge_Tensor_pr *= Ge_pr*2; // Because the function does not do it
   Ge_Tensor_pr += Bd_stiffnessTerm;
   
+  // NEW - EIGEN
+  static fullMatrix<double> m1(3, 3), m2(3, 3), m3(3, 3), m4(3, 3), m5(3, 3);
+  static fullVector<double> eigenValReal1(3), eigenValReal2(3), eigenValReal3(3), eigenValReal4(3), eigenValReal5(3);
+  static fullVector<double> eigenValImag1(3), eigenValImag2(3), eigenValImag3(3), eigenValImag4(3), eigenValImag5(3);
+  static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3), leftEigenVect3(3,3), leftEigenVect4(3,3), leftEigenVect5(3,3);
+  static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), rightEigenVect3(3,3), rightEigenVect4(3,3), rightEigenVect5(3,3);
+  m1.setAll(0.); m2.setAll(0.); m3.setAll(0.); m4.setAll(0.); m5.setAll(0.);
+  eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); eigenValReal3.setAll(0.); eigenValReal4.setAll(0.); eigenValReal5.setAll(0.);
+  eigenValImag1.setAll(0.); eigenValImag2.setAll(0.); eigenValImag3.setAll(0.); eigenValImag4.setAll(0.); eigenValImag5.setAll(0.);
+  leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.); leftEigenVect3.setAll(0.); leftEigenVect4.setAll(0.); leftEigenVect5.setAll(0.);
+  rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); rightEigenVect3.setAll(0.); rightEigenVect4.setAll(0.); rightEigenVect5.setAll(0.);
+
+  // Get eigen values and vectors
+  q1->_kirchhoff.getMat(m1); Ce.getMat(m2); Ee.getMat(m3); q0->_Ee.getMat(m4); Ee0_rot.getMat(m5);
+  m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+  m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+  m3.eig(eigenValReal3,eigenValImag3,leftEigenVect3,rightEigenVect3,false);
+  m4.eig(eigenValReal4,eigenValImag4,leftEigenVect4,rightEigenVect4,false);
+  m5.eig(eigenValReal5,eigenValImag5,leftEigenVect5,rightEigenVect5,false);
+  // NEW - EIGEN
+
   // get predictor - dKeprDT
   mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T);
   const STensor3& dKeprDT = q1->_DcorKirDT; // This has all extrabranches now
@@ -592,7 +655,7 @@ void mlawNonLinearTVENonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow_nonL
     }
     else{
         if (f>_tol){
-        	// Msg::Error("Plasticity");
+        	Msg::Error("Plasticity");
             q1->getRefToDissipationActive() = true;
          
             // plasticity
@@ -851,11 +914,37 @@ void mlawNonLinearTVENonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow_nonL
     mlawNonLinearTVP::getModifiedMandel(Ce, q0, q1); // update Mandel
     const STensor3& MS = q1->_ModMandel;
     Me = MS;
+
     // second Piola Kirchhoff stress
     static STensor3 S, Ceinv;
     STensorOperation::inverseSTensor3(Ce,Ceinv);
     STensorOperation::multSTensor3(Ceinv,q1->_ModMandel,S);
     
+    static STensor3 S2, M2;
+    for(int i=0; i<3; i++)
+        for(int j=0; j<3; j++){
+          S2(i,j) = 0.;
+          for(int k=0; k<3; k++)
+             S2(i,j) += 0.5* ( KS(i,k)*Ceinv(k,j) + Ceinv(k,i)*KS(j,k) );
+        }
+    STensorOperation::multSTensor3(Ce,S2,M2);
+
+
+    static STensor3 _temp1, _temp2, _temp3, _temp4, _temp6, commuteCheck;
+    STensorOperation::multSTensor3(Ce, S, _temp1);
+    STensorOperation::multSTensor3(S, Ce, _temp2);
+    STensorOperation::multSTensor3(KS, Ce, _temp3);
+    STensorOperation::multSTensor3(Ce, KS, _temp4);
+
+    // Check S
+    commuteCheck = _temp1;
+    commuteCheck -= _temp2;
+
+    // Check corKir (just for fun)
+    _temp6 = _temp3;
+    _temp6 -= _temp4;
+
+
     // first PK
     for(int i=0; i<3; i++)
         for(int j=0; j<3; j++){
@@ -947,6 +1036,11 @@ void mlawNonLinearTVENonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow_nonL
         DcorKirDEe_pr += Ge_TrEeTensor_pr; // TC Assymmetry
         DcorKirDEe += Ge_TrEeTensor; // TC Assymmetry
         
+        // NEW EIGEN
+        DcorKirDEe_pr += rotationStiffness_pr;
+        DcorKirDEe += rotationStiffness;
+        // NEW EIGEN
+
         static STensor43 DcorKir_pr_DCepr, DcorKirDCepr;
         STensorOperation::multSTensor43(DcorKirDEe_pr,DlnDCepr,DcorKir_pr_DCepr);
         STensorOperation::multSTensor43(DcorKirDEe,DlnDCepr,DcorKirDCepr);
@@ -2179,7 +2273,7 @@ void mlawNonLinearTVENonLinearTVP::getDho(const double& Gamma, const STensor3& C
 }
 
 void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const double& T, const IPNonLinearTVP *q0, IPNonLinearTVP *q1,
-                                            const double& Gamma, const double& Cxtr, const double& Cxdev,
+                                            double& Gamma, const double& Cxtr, const double& Cxdev,
                                             const STensor3& Cepr, const STensor3& Eepr,
                                             const double& trXn, const STensor3& devXn, 
                                             double& Ke, double& Ge, STensor43& Ge_Tensor, 
@@ -2230,14 +2324,13 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
   // Initialise corKir
   static STensor3 KS;
   static STensor43 Bd_stiffnessTerm;
-  double DKDTsum, DGDTsum;
   if (Ge_TrEeTensor == NULL){
     // mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
-    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm);
+    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
   }
   else{ // TC asymmetry
     // mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
-    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
+    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
   }
   Ge_Tensor = _I4;
   Ge_Tensor *= Ge*2; // *2 because the function doesnt do it
@@ -2299,7 +2392,7 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
   // Initialise numerical quantities
   static STensor3 Phi_plus, J_plus, devPhi_plus, N_plus, GammaN_plus, Ee_plus, Ce_plus, KS_plus, MS_plus, expGN_plus, Hinv_plus, devN_plus, devX_plus;
   double pPhi_plus,Ke_plus,Ge_plus, trN_plus, trX_plus;
-  static STensor43 dJdPhi_plus, dJdPhi_plus_inv, dexpAdA_plus, Bd_stiffnessTerm_plus,Ge_Tensor_plus;
+  static STensor43 dJdPhi_plus, dJdPhi_plus_inv, dexpAdA_plus, Bd_stiffnessTerm_plus,Ge_Tensor_plus, dJdPhi_plus2, dJdPhi_plus2_inv;
   STensor43* Ge_TrEeTensor_plus = NULL;
   static IPNonLinearTVP q1_plus(*q0);
 
@@ -2312,6 +2405,7 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
 
 	  // numerical Dho4inv (Jacobian dJ/dPhi)
 	  	  // _perturbationfactor = DPhi_numerical
+
 	  /*
 	  for (int i=0; i<3; i++){
 	     for (int j=0; j<3; j++){
@@ -2321,7 +2415,7 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
 	        STensorOperation::decomposeDevTr(Phi_plus,devPhi_plus,pPhi_plus);
 	        pPhi_plus = Phi_plus.trace()/3;
 	        N_plus = _I;
-	        N_plus *= 2.*_b/3;
+	        N_plus *= 2.*_b/3*pPhi_plus;
 	        N_plus += 3*devPhi_plus;
 	        GammaN_plus = N_plus;
 	        GammaN_plus *= Gamma;
@@ -2337,13 +2431,14 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
 	            	Ce_plus(ii,jj) += Hinv_plus(ii,kk)*Hinv_plus(kk,ll)*Cepr(ll,jj);
 	          }
 
-	        Ee_plus = - Gamma*N_plus;
-	        Ee_plus += Eepr(i,j);
+	        // Ee_plus = - Gamma*N_plus;
+	        // Ee_plus += Eepr(i,j);
+	        bool ok=STensorOperation::logSTensor3(Ce_plus,_order,Ee_plus);
 	        if (Ge_TrEeTensor_plus == NULL){
-	          mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm_plus);
+	          mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,Bd_stiffnessTerm_plus);
 	        }
 	        else{ // TC asymmetry
-	          mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm_plus,Ge_TrEeTensor_plus);
+	          mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,Bd_stiffnessTerm_plus,Ge_TrEeTensor_plus);
 	        }
 	        Ge_Tensor_plus = _I4;
 	        Ge_Tensor_plus *= Ge_plus*2; // *2 because the function doesnt do it
@@ -2427,6 +2522,7 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
       if(!ok)
       {
         Phi(0,0) = Phi(1,1) = Phi(2,2) = sqrt(-1.);
+    	// Gamma *= 0.1;
         return;
       }
       Ee *= 0.5;
@@ -2434,11 +2530,11 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
       // update corKir
       if (Ge_TrEeTensor == NULL){
         // mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
-        mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm);
+        mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
       }
       else{ // TC asymmetry
         // mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
-        mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,true,Bd_stiffnessTerm, Ge_TrEeTensor);
+        mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm, Ge_TrEeTensor);
       }  
       Ge_Tensor = _I4;
       Ge_Tensor *= Ge*2; // *2 because the function doesnt do it
@@ -2483,15 +2579,14 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
       }*/
 
       // debug
-      /*
 	  for (int i=0; i<3; i++)
 	     for (int j=0; j<3; j++)
 	        for (int k=0; k<3; k++)
 	          for (int l=0; l<3; l++)
-	            dJdPhi_plus(k,l,i,j) = (J(k,l) - J0(k,l))/(_perturbationfactor);
+	            // dJdPhi_plus2(k,l,i,j) = (J(k,l) - J0(k,l))/(_perturbationfactor);
 
-	   STensorOperation::inverseSTensor43(dJdPhi_plus,dJdPhi_plus_inv);
-	   J0 = J;*/
+	   // STensorOperation::inverseSTensor43(dJdPhi_plus2,dJdPhi_plus2_inv);
+	   // J0 = J;
 
 	   for (int i=0; i<3; i++)
 		 for (int j=0; j<3; j++)
@@ -2513,15 +2608,16 @@ void mlawNonLinearTVENonLinearTVP::getIterated_DPhi(const double& T0, const doub
       if (fabs(J_tol) <_tol) break;
 
       if(ite > maxite){
-    	  Msg::Error("No convergence for iterated Phi mlawNonLinearTVENonLinearTVP nonAssociatedFlow iter = %d, J_tol = %e!!",ite,J_tol);
+    	  // Msg::Error("No convergence for iterated Phi mlawNonLinearTVENonLinearTVP nonAssociatedFlow iter = %d, J_tol = %e!!",ite,J_tol);
     	  // Msg::Error("Exiting the function Iterated Phi!!");
     	  // Phi(0,0) = Phi(1,1) = Phi(2,2) = sqrt(-1.);
+    	  // Gamma *= 0.1;
        return;
        }
      } // while
 
 }
-
+/*
 void mlawNonLinearTVENonLinearTVP::TEST_predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(
                                         const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double T0, const double T,
                                         const STensor3& Fepr, const STensor3& Cepr,
@@ -2584,7 +2680,7 @@ void mlawNonLinearTVENonLinearTVP::TEST_predictorCorrector_TVP_nonAssociatedFlow
   static STensor43 Ge_Tensor_pr, Ge_Tensor, Bd_stiffnessTerm;
   STensorOperation::zero(Ge_Tensor_pr);
   STensorOperation::zero(Ge_Tensor);
-  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
+  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ce,Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
   Ge_Tensor = _I4;
   Ge_Tensor *= Ge*2; // Because the function does not do it
   Ge_Tensor += Bd_stiffnessTerm;
@@ -2815,11 +2911,11 @@ void mlawNonLinearTVENonLinearTVP::TEST_predictorCorrector_TVP_nonAssociatedFlow
                 // Update A
                 A = sqrt(6.*PhiEq*PhiEq+4.*_b*_b/3.*ptilde*ptilde);
 
-                /*
-                Dgamma = pow(kk,1)*Gamma*A;  // pow(kk,2) DEBUG
-                updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
-                hardening(q0,q1,T);
-                getYieldCoefficients(q1,a);*/
+
+                // Dgamma = pow(kk,1)*Gamma*A;  // pow(kk,2) DEBUG
+                // updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                // hardening(q0,q1,T);
+                // getYieldCoefficients(q1,a);
 
                 // Update f, g
                 f = a(2)*pow(PhiEq,_n) - (a(1)*ptilde+a(0));
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.h b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.h
index 35e26d4bedf3070726ad9676bba1cae7b2b2f600..2ecb9c61a8d4d050d2c9eb925fc2f85c586512c2 100644
--- a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.h
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP.h
@@ -25,7 +25,7 @@ class mlawNonLinearTVENonLinearTVP : public mlawNonLinearTVP{
 		virtual void freeEnergyPlasticityDerivatives(const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double& T0, const double& T, STensor3& dPsy_TVPdF, double& dPsy_TVPdT) const;
 
         virtual void getIterated_DPhi(const double& T0, const double& T, const IPNonLinearTVP *q0, IPNonLinearTVP *q1,
-                                            const double& Gamma, const double& Cxtr, const double& Cxdev,
+                                            double& Gamma, const double& Cxtr, const double& Cxdev,
                                             const STensor3& Cepr, const STensor3& Eepr,
                                             const double& trXn, const STensor3& devXn, 
                                             double& Ke, double& Ge, STensor43& Ge_Tensor, 
@@ -45,7 +45,7 @@ class mlawNonLinearTVENonLinearTVP : public mlawNonLinearTVP{
         virtual void TEST_predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(
                                         const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double T0, const double T,
                                         const STensor3& Fepr, const STensor3& Cepr,
-                                        double& ptilde, STensor3& devPhi, double& Gamma, double& Dgamma, double& A, double& f, STensor3& Me, STensor3& P) const;
+                                        double& ptilde, STensor3& devPhi, double& Gamma, double& Dgamma, double& A, double& f, STensor3& Me, STensor3& P) const{};
 
         virtual void predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0_, IPNonLinearTVP *q1,
                             STensor3&P, const bool stiff, STensor43& Tangent,  STensor43& dFedF, STensor43& dFpdF, STensor3& dFedT, STensor3& dFpdT,
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.cpp b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..02dc4d6696f2b68d326640e7f29ce30c8d99391a
--- /dev/null
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.cpp
@@ -0,0 +1,3056 @@
+//
+// C++ Interface: Material Law
+//
+// Description: Non-Linear Thermo-Visco-Mechanics (Thermo-ViscoElasto-ViscoPlasto Law) with Non-Local Damage Interface (soon.....)
+//
+// Author: <Ujwal Kishore J - FLE_Knight>, (C) 2024
+//
+// Copyright: See COPYING file that comes with this distribution
+//
+//
+
+#include "nonLinearMechSolver.h"
+#include "mlawNonLinearTVENonLinearTVP2.h"
+
+
+mlawNonLinearTVENonLinearTVP2::mlawNonLinearTVENonLinearTVP2(const int num,const double E,const double nu, const double rho, const double tol,
+                                   const double Tinitial, const double Alpha, const double KThCon, const double Cp,
+                                   const bool matrixbyPerturbation, const double pert, const double stressIteratorTol, const bool thermalEstimationPreviousConfig):
+                                   mlawNonLinearTVP(num, E, nu, rho, tol, Tinitial, Alpha, KThCon, Cp, matrixbyPerturbation, pert, thermalEstimationPreviousConfig), _stressIteratorTol(stressIteratorTol) {
+};
+
+mlawNonLinearTVENonLinearTVP2::mlawNonLinearTVENonLinearTVP2(const mlawNonLinearTVENonLinearTVP2& src): mlawNonLinearTVP(src), _stressIteratorTol(src._stressIteratorTol) {
+};
+
+mlawNonLinearTVENonLinearTVP2& mlawNonLinearTVENonLinearTVP2::operator=(const materialLaw& source){
+
+    mlawNonLinearTVP::operator=(source);
+    const mlawNonLinearTVENonLinearTVP2* src =dynamic_cast<const mlawNonLinearTVENonLinearTVP2*>(&source);
+    if(src != NULL){
+    	_stressIteratorTol = src->_stressIteratorTol;
+    }
+    return *this;
+};
+
+mlawNonLinearTVENonLinearTVP2::~mlawNonLinearTVENonLinearTVP2(){
+};
+
+double mlawNonLinearTVENonLinearTVP2::freeEnergyPlasticity(const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double& T0, const double& T) const{
+
+	double Psy_TVP(0.);
+
+	// 1. Kinematic Hardening
+    double Hb(0.);
+    if (q1->_ipKinematic != NULL){
+       Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+   	}
+
+    double kk = 1./sqrt(1.+2.*q1->_nup*q1->_nup);
+    static STensor3 alpha;
+    STensorOperation::zero(alpha);
+    if(Hb>0.){
+    	alpha = q1->_backsig;
+    	alpha *= 1/(pow(kk,1)*Hb); //pow(kk,2) debug
+    }
+	STensorOperation::doubleContractionSTensor3(q1->_backsig,alpha,Psy_TVP);
+
+	// 2. Isotropic Hardening
+	double intR = q1->_ipCompression->getIntegR();
+	double sigc0 = q1->_ipCompression->getR0();
+	intR -= sigc0*q1->_epspbarre;
+
+	Psy_TVP += intR;
+
+    // If mullins, then calculate psi_VP derivatives
+    // if (_mullinsEffect != NULL && q._ipMullinsEffect != NULL){
+    //    *DpsiDT = 0.;
+    //    STensorOperation::zero(*DpsiDE);
+    // }
+    return Psy_TVP;
+}
+
+void mlawNonLinearTVENonLinearTVP2::freeEnergyPlasticityDerivatives(const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double& T0, const double& T,
+                              STensor3& dPsy_TVPdF, double& dPsy_TVPdT) const{
+
+	STensorOperation::zero(dPsy_TVPdF);
+	dPsy_TVPdT = 0.;
+
+	// 1. Kinematic Hardening
+	double Hb(0.), dHb(0.), dHbdT(0.);
+	if (q1->_ipKinematic != NULL){
+	  Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+	  dHb = q1->_ipKinematic->getDR(); // kinematic hardening parameter derivative (dHb/dgamma)
+	  dHbdT = q1->_ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file
+	}
+
+    double kk = 1./sqrt(1.+2.*q1->_nup*q1->_nup);
+    if(Hb>0.){
+
+    	static STensor3 term1, term2;
+    	STensorOperation::multSTensor3STensor43(q1->_backsig,q1->_DbackSigDF,term1);
+    	term2 = q1->_DgammaDF;
+    	term2 *= (-1./(2*Hb)*dHb*q1->_backsig.dotprod());
+
+    	dPsy_TVPdF = term1;
+    	dPsy_TVPdF += term2;
+    	dPsy_TVPdF *= 1./(pow(kk,1)*Hb); //pow(kk,2) debug
+
+    	double term3, term4;
+    	STensorOperation::doubleContractionSTensor3(q1->_backsig,q1->_DbackSigDT,term3);
+    	term4 = -(dHbdT + dHb*q1->_DgammaDT)/(2*Hb)*q1->_backsig.dotprod();
+    	dPsy_TVPdT = (term3+term4)/(pow(kk,1)*Hb); //pow(kk,2) debug
+
+    }
+
+
+	// 2. Isotropic Hardening
+
+    // Get Hc, etc.
+	double intR = q1->_ipCompression->getIntegR();
+	double sigc0 = q1->_ipCompression->getR0();  // Initial yield stress
+	intR -= sigc0*q1->_epspbarre;
+
+    double R(0.), dsigc0dT(0.), sigc(0.);
+    dsigc0dT = sigc0*_temFunc_Sy0->getDiff(T);
+    sigc = q1->_ipCompression->getR();
+
+    // Get R
+    R = sigc - sigc0;
+
+    dPsy_TVPdF += R*q1->_DgammaDF;
+    dPsy_TVPdT += (R*q1->_DgammaDT + _temFunc_Sy0->getDiff(T)/ _temFunc_Sy0->getVal(T)*intR - dsigc0dT*q1->_epspbarre);
+}
+
+void mlawNonLinearTVENonLinearTVP2::constitutive( // This function is just a placeholder, defined in the pure virtual class -> does nothing, its never called.
+                            const STensor3& F0,         // previous deformation gradient (input @ time n)
+                            const STensor3& F1,         // current deformation gradient (input @ time n+1)
+                                  STensor3 &P1,                // current 1st Piola-Kirchhoff stress tensor (output)
+                            const IPVariable *q0i,       // array of previous internal variables
+                                  IPVariable *q1i,             // current array of internal variable (in ipvcur on output),
+                                  STensor43 &Tangent,         // tangents (output)
+                            const bool stiff,            // if true compute the tangents
+                                  STensor43* elasticTangent,
+                            const bool dTangent,
+                                  STensor63* dCalgdeps) const{
+    static SVector3 gradT, temp2;
+    static STensor3 temp3;
+    static STensor33 temp33;
+    static double tempVal;
+    static STensor43 dFpdF, dFedF;
+    static STensor3 dFpdT, dFedT;
+
+    const IPNonLinearTVP *q0 = dynamic_cast<const IPNonLinearTVP *> (q0i);
+          IPNonLinearTVP *q1 = dynamic_cast<IPNonLinearTVP *>(q1i);
+
+    if(elasticTangent != NULL) Msg::Error("mlawNonLinearTVENonLinearTVP2 elasticTangent not defined");
+    predictorCorrector_ThermoViscoPlastic(F0,F1,P1,q0,q1,Tangent,dFpdF, dFpdT, dFedF, dFedT,
+                                          _Tref,_Tref,gradT,gradT,temp2,temp3,temp3,temp2,temp33,
+                                          tempVal,tempVal,temp3,
+                                          tempVal,tempVal,temp3,
+                                          stiff, NULL);
+};
+
+void mlawNonLinearTVENonLinearTVP2::constitutive(
+                            const STensor3& F0,                     // initial deformation gradient (input @ time n)
+                            const STensor3& F1,                     // updated deformation gradient (input @ time n+1)
+                                  STensor3& P,                      // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPVariable *q0i,                   // array of initial internal variable
+                                  IPVariable *q1i,                   // updated array of internal variable (in ipvcur on output),
+                                  STensor43 &Tangent,               // constitutive mechanical tangents (output)
+                            const double& T0,                       // previous temperature
+                            const double& T,                        // temperature
+                            const SVector3 &gradT0,                 // previous temperature gradient
+                            const SVector3 &gradT,                  // temperature gradient
+                                  SVector3 &fluxT,                  // temperature flux
+                                  STensor3 &dPdT,                   // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT,           // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF,              // thermal-mechanical coupling
+                                  double &thermalSource,            // - Cp*dTdt
+                                  double &dthermalSourcedT,         // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &mechanicalSource,         // mechanical source--> convert to heat
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF,
+                            const bool stiff,
+                                  STensor43* elasticTangent) const{
+
+    const IPNonLinearTVP *q0 = dynamic_cast<const IPNonLinearTVP *>(q0i);
+          IPNonLinearTVP *q1 = dynamic_cast<IPNonLinearTVP *>(q1i);
+
+    // Declaring here, coz I dont know better.
+    static STensor43 dFedF, dFpdF;
+    static STensor3 dFpdT, dFedT;
+
+    if (!_tangentByPerturbation){
+
+        this->predictorCorrector_ThermoViscoPlastic(F0, F1, P, q0, q1, Tangent, dFpdF, dFpdT, dFedF, dFedT,
+                                                    T0, T, gradT0, gradT, fluxT, dPdT, dfluxTdgradT, dfluxTdT, dfluxTdF,
+                                                    thermalSource, dthermalSourcedT, dthermalSourcedF,
+                                                    mechanicalSource, dmechanicalSourcedT, dmechanicalSourceF,
+                                                    stiff, elasticTangent);
+    }
+
+    else{
+
+        this->predictorCorrector_ThermoViscoPlastic(F0, F1, P, q0, q1, T0, T, gradT0, gradT, fluxT, thermalSource, mechanicalSource, elasticTangent);
+        if (stiff)
+            this->tangent_full_perturbation(F0,F1,P,q0,q1,T0, T, gradT0, gradT, fluxT, thermalSource, mechanicalSource,
+                                            Tangent, dFpdF, dFpdT, dFedF, dFedT,
+                                            dPdT, dfluxTdgradT, dfluxTdT, dfluxTdF,
+                                            dthermalSourcedT, dthermalSourcedF,
+                                            dmechanicalSourcedT, dmechanicalSourceF);
+    }
+};
+
+
+void mlawNonLinearTVENonLinearTVP2::predictorCorrector_ThermoViscoPlastic(
+                                                    const STensor3& F0,         // initial deformation gradient (input @ time n)
+                                                    const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                                          STensor3 &P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                                                    const IPNonLinearTVP *q0,       // array of initial internal variable
+                                                          IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                                                    const double& T0, // previous temperature
+                                                    const double& T, // temperature
+                                                    const SVector3 &gradT0, // previous temeprature gradient
+                                                    const SVector3 &gradT, // temeprature gradient
+                                                          SVector3 &fluxT, // temperature flux)
+                                                          double &thermalSource,
+                                                          double& mechanicalSource,
+                                                          STensor43* elasticTangent) const{
+  // temp variables
+  static STensor43 Tangent, dFpdF, dFedF;
+  static STensor3 dPdT, dfluxTdgradT, dthermalSourcedF, dmechanicalSourceF, dFpdT, dFedT;
+  static STensor33 dfluxTdF;
+  static SVector3 dfluxTdT;
+  static double dthermalSourcedT, dmechanicalSourcedT;
+  predictorCorrector_ThermoViscoPlastic(F0,F1,P,q0,q1,Tangent,dFpdF,dFpdT,dFedF,dFedT,
+                                        T0,T,gradT0,gradT,fluxT,dPdT,dfluxTdgradT,dfluxTdT,dfluxTdF,
+                                        thermalSource,dthermalSourcedT,dthermalSourcedF,
+                                        mechanicalSource,dmechanicalSourcedT,dmechanicalSourceF,false,elasticTangent);
+};
+
+void mlawNonLinearTVENonLinearTVP2::tangent_full_perturbation(
+                            const STensor3& F0,
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                  STensor3& P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPNonLinearTVP *q0,       // array of initial internal variable
+                                  IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                            const double& T0, // previous temperature
+                            const double& T, // temperature
+                            const SVector3 &gradT0, // previous temeprature gradient
+                            const SVector3 &gradT, // temeprature gradient
+                                  SVector3 &fluxT, // temperature flux)
+                                  double &thermalSource,
+                                  double &mechanicalSource,
+                                  STensor43 &Tangent,         // mechanical tangents (output)
+                                  STensor43 &dFpdF, // plastic tangent
+                                  STensor3 &dFpdT, // plastic tangent
+                                  STensor43 &dFedF, // elastic tangent
+                                  STensor3 &dFedT, // elastic tangent
+                                  STensor3 &dPdT, // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT, // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF, // thermal-mechanical coupling
+                                  double &dthermalSourcedT, // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF) const{
+
+    static STensor3 Fplus, Pplus;
+    static SVector3 fluxTPlus, gradTplus;
+    static double thermalSourcePlus;
+    static double mechanicalSourcePlus;
+    static IPNonLinearTVP qPlus(*q0);
+
+    // perturb F
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        Fplus = F1;
+        Fplus(i,j) += _perturbationfactor;
+
+        predictorCorrector_ThermoViscoPlastic(F0,Fplus,Pplus,q0,&qPlus,T0,T,gradT0,gradT,fluxTPlus,thermalSourcePlus,mechanicalSourcePlus, NULL);
+
+        q1->_DgammaDF(i,j) = (qPlus._epspbarre - q1->_epspbarre)/_perturbationfactor;
+        q1->_DirreversibleEnergyDF(i,j) = (qPlus._irreversibleEnergy - q1->_irreversibleEnergy)/_perturbationfactor;
+
+        for (int k=0; k<3; k++){
+          for (int l=0; l<3; l++){
+            Tangent(k,l,i,j) = (Pplus(k,l) - P(k,l))/(_perturbationfactor);
+            dFpdF(k,l,i,j) = (qPlus._Fp(k,l)-q1->_Fp(k,l))/_perturbationfactor;
+            dFedF(k,l,i,j) = (qPlus._Fe(k,l)-q1->_Fe(k,l))/_perturbationfactor;
+          }
+          dfluxTdF(k,i,j) = (fluxTPlus(k) - fluxT(k))/_perturbationfactor;
+        }
+
+        q1->getRefToDElasticEnergyPartdF()(i,j)=(qPlus.getConstRefToElasticEnergyPart()-q1->getConstRefToElasticEnergyPart())/_perturbationfactor;
+        q1->getRefToDViscousEnergyPartdF()(i,j)=(qPlus.getConstRefToViscousEnergyPart()-q1->getConstRefToViscousEnergyPart())/_perturbationfactor;
+        q1->getRefToDPlasticEnergyPartdF()(i,j)=(qPlus.getConstRefToPlasticEnergyPart()-q1->getConstRefToPlasticEnergyPart())/_perturbationfactor;
+
+        dthermalSourcedF(i,j) = (thermalSourcePlus - thermalSource)/_perturbationfactor;
+        dmechanicalSourceF(i,j) = (mechanicalSourcePlus - mechanicalSource)/_perturbationfactor;
+      }
+    }
+
+    // perturb gradT
+    double gradTpert = _perturbationfactor*T0/1e-3;
+    for (int i=0; i<3; i++){
+      gradTplus = gradT;
+      gradTplus(i) += gradTpert;
+      predictorCorrector_ThermoViscoPlastic(F0,F1,Pplus,q0,&qPlus,T0,T,gradT0,gradTplus,fluxTPlus,thermalSourcePlus,mechanicalSourcePlus, NULL);
+      for (int k=0; k<3; k++){
+        dfluxTdgradT(k,i) = (fluxTPlus(k) - fluxT(k))/gradTpert;
+      }
+    }
+
+    // perturb T
+    double Tplus = T+ _perturbationfactor*T0;
+    predictorCorrector_ThermoViscoPlastic(F0,F1,Pplus,q0,&qPlus,T0,Tplus,gradT0,gradT,fluxTPlus,thermalSourcePlus,mechanicalSourcePlus, NULL);
+
+    q1->_DgammaDT = (qPlus._epspbarre - q1->_epspbarre)/(_perturbationfactor*T0);
+    q1->_DirreversibleEnergyDT = (qPlus._irreversibleEnergy - q1->_irreversibleEnergy)/(_perturbationfactor*T0);
+
+    for (int k=0; k<3; k++){
+      for (int l=0; l<3; l++){
+        dFpdT(k,l) = (qPlus._Fp(k,l) - q1->_Fp(k,l))/(_perturbationfactor*T0);
+        dFedT(k,l) = (qPlus._Fe(k,l) - q1->_Fe(k,l))/(_perturbationfactor*T0);
+        dPdT(k,l) = (Pplus(k,l) - P(k,l))/(_perturbationfactor*T0);
+      }
+      dfluxTdT(k) = (fluxTPlus(k) - fluxT(k))/(_perturbationfactor*T0);
+    }
+
+    q1->getRefToDElasticEnergyPartdT() = (qPlus.getConstRefToElasticEnergyPart()-q1->getConstRefToElasticEnergyPart())/(_perturbationfactor*T0);
+    q1->getRefToDViscousEnergyPartdT() = (qPlus.getConstRefToViscousEnergyPart()-q1->getConstRefToViscousEnergyPart())/(_perturbationfactor*T0);
+    q1->getRefToDPlasticEnergyPartdT() = (qPlus.getConstRefToPlasticEnergyPart()-q1->getConstRefToPlasticEnergyPart())/(_perturbationfactor*T0);
+
+    dthermalSourcedT = (thermalSourcePlus - thermalSource)/(_perturbationfactor*T0);
+    dmechanicalSourcedT = (mechanicalSourcePlus - mechanicalSource)/(_perturbationfactor*T0);
+
+};
+
+void mlawNonLinearTVENonLinearTVP2::predictorCorrector_ThermoViscoPlastic(
+                                                    const STensor3& F0,         // initial deformation gradient (input @ time n)
+                                                    const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                                          STensor3& P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                                                    const IPNonLinearTVP *q0,       // array of initial internal variable
+                                                          IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                                                          STensor43 &Tangent,         // mechanical tangents (output)
+                                                          STensor43 &dFpdF, // plastic tangent
+                                                          STensor3 &dFpdT, // plastic tangent
+                                                          STensor43 &dFedF, // elastic tangent
+                                                          STensor3 &dFedT, // elastic tangent
+                                                    const double& T0, // previous temperature
+                                                    const double& T, // temperature
+                                                    const SVector3 &gradT0, // previoustemeprature gradient
+                                                    const SVector3 &gradT, // temeprature gradient
+                                                          SVector3 &fluxT, // temperature flux
+                                                          STensor3 &dPdT, // mechanical-thermal coupling
+                                                          STensor3 &dfluxTdgradT, // thermal tengent
+                                                          SVector3 &dfluxTdT,
+                                                          STensor33 &dfluxTdF, // thermal-mechanical coupling
+                                                          double &thermalSource,   // - cp*dTdt
+                                                          double &dthermalSourcedT, // thermal source
+                                                          STensor3 &dthermalSourcedF,
+                                                          double &mechanicalSource, // mechanical source--> convert to heat
+                                                          double &dmechanicalSourcedT,
+                                                          STensor3 &dmechanicalSourceF,
+                                                    const bool stiff,
+                                                          STensor43* elasticTangent) const{
+
+  if (_tangentByPerturbation){
+    if (_nonAssociatedFlow){
+      this->predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(F0,F1,q0,q1,P,false,Tangent,dFedF,dFpdF,dFedT,dFpdT,
+                                                        T0,T,gradT0,gradT,fluxT,dPdT,dfluxTdgradT,dfluxTdT,dfluxTdF,
+                                                        thermalSource,dthermalSourcedT,dthermalSourcedF,
+                                                        mechanicalSource,dmechanicalSourcedT,dmechanicalSourceF);
+    }
+    else{
+      this->mlawNonLinearTVP::predictorCorrector_TVP_AssociatedFlow(F1,q0,q1,P,false,Tangent,dFedF,dFpdF,T0,T);
+    }
+
+  }
+  else{
+    if (_nonAssociatedFlow){
+      this->predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(F0,F1,q0,q1,P,stiff,Tangent,dFedF,dFpdF,dFedT,dFpdT,
+                                                        T0,T,gradT0,gradT,fluxT,dPdT,dfluxTdgradT,dfluxTdT,dfluxTdF,
+                                                        thermalSource,dthermalSourcedT,dthermalSourcedF,
+                                                        mechanicalSource,dmechanicalSourcedT,dmechanicalSourceF);
+    }
+    else{
+      this->mlawNonLinearTVP::predictorCorrector_TVP_AssociatedFlow(F1,q0,q1,P,stiff,Tangent,dFedF,dFpdF,T0,T);
+    }
+  }
+
+};
+
+
+void mlawNonLinearTVENonLinearTVP2::predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0, IPNonLinearTVP *q1,
+                            STensor3&P, const bool stiff, STensor43& Tangent, STensor43& dFedF, STensor43& dFpdF, STensor3& dFedT, STensor3& dFpdT,
+                            const double T0,
+                            const double T,
+                            const SVector3 &gradT0,                 // previous temperature gradient
+                            const SVector3 &gradT,                  // temperature gradient
+                                  SVector3 &fluxT,                  // temperature flux
+                                  STensor3 &dPdT,                   // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT,           // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF,              // thermal-mechanical coupling
+                                  double &thermalSource,            // - Cp*dTdt
+                                  double &dthermalSourcedT,         // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &mechanicalSource,         // mechanical source--> convert to heat
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF) const{
+
+  // compute elastic predictor
+  STensor3& Fp1 = q1->_Fp;
+  const STensor3& Fp0 = q0->_Fp;
+
+  // Update the Properties to the current temperature (see below which ones are being used)
+  double CpT, DCpDT; getCp(CpT,T,&DCpDT);
+
+  // Initialise predictor values
+  Fp1 = Fp0; // plastic deformation tensor
+  q1->_epspbarre = q0->_epspbarre; // plastic equivalent strain
+  q1->_epspCompression = q0->_epspCompression;
+  q1->_epspTraction = q0->_epspTraction;
+  q1->_epspShear = q0->_epspShear;
+  q1->_backsig = q0->_backsig; // backstress tensor
+  q1->_DbackSigDT = q0->_DbackSigDT; // DbackSigDT
+  q1->_DgammaDt = 0.;
+
+  // Get hardening parameters
+  this->mlawNonLinearTVP::hardening(q0,q1,T);
+  static fullVector<double> a(3), Da(3); // yield coefficients and derivatives with respect to plastic deformation
+  this->mlawNonLinearTVP::getYieldCoefficients(q1,a);
+  //a.print("a init");
+
+  double Hb(0.), dHb(0.), ddHb(0.), dHbdT(0.), ddHbdgammadT(0.), ddHbddT(0.);
+  if (q1->_ipKinematic != NULL){
+    Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+    dHb = q1->_ipKinematic->getDR(); // kinematic hardening parameter derivative (dHb/dgamma)
+    dHbdT = q1->_ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file
+    ddHbddT = q1->_ipKinematic->getDDRDTT();
+    ddHbdgammadT = q1->_ipKinematic->getDDRDT();
+  }
+
+  double eta(0.),Deta(0.),DetaDT(0.);
+  if (_viscosity != NULL)
+    _viscosity->get(q1->_epspbarre,T,eta,Deta,DetaDT);
+
+  // Get Cepr, Ceinvpr
+  static STensor3 Fpinv, Ce, Fepr;
+  STensorOperation::inverseSTensor3(Fp1,Fpinv);
+  STensorOperation::multSTensor3(F,Fpinv,Fepr);
+  STensorOperation::multSTensor3FirstTranspose(Fepr,Fepr,Ce);
+
+  static STensor3 Eepr, Cepr, Ceinvpr;
+  Cepr = Ce;
+  STensorOperation::inverseSTensor3(Cepr,Ceinvpr);
+
+  static STensor3 invFp0; // plastic predictor
+  invFp0= Fpinv;
+  STensor3& Fe = q1->_Fe;
+  Fe = Fepr;
+
+  // Predictor - TVE
+  static STensor43 DlnDCepr, DlnDCe;
+  static STensor63 DDlnDDCe;
+  static STensor3 expGN, GammaN;
+  static STensor43 dexpAdA; // estimation of dexpA/dA
+  expGN = _I; // if Gamma = 0, expGN = _I
+  // dexpAdA = _I4;
+  STensorOperation::zero(dexpAdA); // CHECKERS
+
+  STensor3& Ee = q1->_Ee;
+  // STensorOperation::logSTensor3(Ce,_order,Ee,&DlnDCepr,&DDlnDDCe);
+  bool ok=STensorOperation::logSTensor3(Ce,_order,Ee,&DlnDCepr,&DDlnDDCe);
+  if(!ok)
+  {
+     P(0,0) = P(1,1) = P(2,2) = sqrt(-1.);
+     return;
+  }
+  Ee *= 0.5;
+  Eepr = Ee;
+  DlnDCe = DlnDCepr;
+
+  // update A, B -> ExtraBranch calculations are within
+  double Ke(0.), Ge(0.), Ke_pr(0.), Ge_pr(0.);
+  static STensor43 Ge_Tensor_pr, Ge_Tensor, Bd_stiffnessTerm, Ge_TrEeTensor_pr, Ge_TrEeTensor;
+  STensorOperation::zero(Ge_Tensor_pr); STensorOperation::zero(Ge_Tensor);
+  STensorOperation::zero(Ge_TrEeTensor_pr); STensorOperation::zero(Ge_TrEeTensor);
+
+  // NEW EIGEN
+  static fullVector<int> alignedIndex(3); alignedIndex(0) = 0; alignedIndex(1) = 1; alignedIndex(2) = 2;
+  STensor3& R = q1->_R;
+  STensor43& dRdEe = q1->_dRdEe;
+  STensor43& dRtdEe = q1->_dRtdEe;
+  static STensor3 Ee0_rot;
+  static STensor43 rotationStiffness_pr ,rotationStiffness;
+  STensorOperation::zero(rotationStiffness_pr); STensorOperation::zero(rotationStiffness);
+  q1->_Ee0 = q0->_Ee;
+  if (_rotationCorrectionScheme == 0 && _rotationCorrectionScheme == 1){
+	  mlawNonLinearTVM::rotationTensor_N_to_Nplus1(q0->_Ee0,q0->_Fp,Fp1,Ce,Ee,q0->_Ee,R,dRdEe,dRtdEe);
+	  for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++){
+			  Ee0_rot(i,j) = 0.;
+			  for(int k=0; k<3; k++)
+				  for(int l=0; l<3; l++)
+					  Ee0_rot(i,j) += R(i,k)*q0->_Ee(k,l)*R(j,l);
+		  }
+  }
+  else if(_rotationCorrectionScheme == 2){
+	  Ee0_rot = q0->_Ee;
+	  STensorOperation::alignEigenDecomposition_NormBased_indexOnly(q0->_Ee,Ee,alignedIndex);
+  }
+  // NEW EIGEN
+
+  if (_extraBranchNLType == TensionCompressionRegularisedType  || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
+      // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm,&Ge_TrEeTensor);
+	  }
+	  else{
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,stiff,alignedIndex,Bd_stiffnessTerm,&Ge_TrEeTensor,&rotationStiffness); // NEW EIGEN
+	  }
+      Ge_TrEeTensor_pr = Ge_TrEeTensor;
+      rotationStiffness_pr = rotationStiffness;
+  }
+  else{
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
+	  }
+	  else{
+	      mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,stiff,alignedIndex,Bd_stiffnessTerm,NULL,&rotationStiffness); // NEW EIGEN
+	  }
+	  rotationStiffness_pr = rotationStiffness;
+  }
+
+  Ge_Tensor = _I4;
+  Ge_Tensor *= Ge*2; // Because the function does not do it
+  Ge_Tensor += Bd_stiffnessTerm;
+
+  // Keep the predictor values of Ke and Ge for tangents later
+  Ke_pr = Ke;
+  Ge_pr = Ge;
+  Ge_Tensor_pr = _I4;
+  Ge_Tensor_pr *= Ge_pr*2; // Because the function does not do it
+  Ge_Tensor_pr += Bd_stiffnessTerm;
+
+/*
+  // NEW - EIGEN
+  static STensor3 Fp0inv, Ce0, Fe0;
+  STensorOperation::inverseSTensor3(Fp0,Fp0inv);
+  STensorOperation::multSTensor3(F0,Fpinv,Fe0);
+  STensorOperation::multSTensor3FirstTranspose(Fe0,Fe0,Ce0);
+
+  static fullMatrix<double> m1(3, 3), m2(3, 3), m3(3, 3), m4(3, 3), m5(3, 3);
+  static fullVector<double> eigenValReal1(3), eigenValReal2(3), eigenValReal3(3), eigenValReal4(3), eigenValReal5(3);
+  static fullVector<double> eigenValImag1(3), eigenValImag2(3), eigenValImag3(3), eigenValImag4(3), eigenValImag5(3);
+  static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3), leftEigenVect3(3,3), leftEigenVect4(3,3), leftEigenVect5(3,3);
+  static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), rightEigenVect3(3,3), rightEigenVect4(3,3), rightEigenVect5(3,3);
+  m1.setAll(0.); m2.setAll(0.); m3.setAll(0.); m4.setAll(0.); m5.setAll(0.);
+  eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); eigenValReal3.setAll(0.); eigenValReal4.setAll(0.); eigenValReal5.setAll(0.);
+  eigenValImag1.setAll(0.); eigenValImag2.setAll(0.); eigenValImag3.setAll(0.); eigenValImag4.setAll(0.); eigenValImag5.setAll(0.);
+  leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.); leftEigenVect3.setAll(0.); leftEigenVect4.setAll(0.); leftEigenVect5.setAll(0.);
+  rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); rightEigenVect3.setAll(0.); rightEigenVect4.setAll(0.); rightEigenVect5.setAll(0.);
+
+  // Get eigen values and vectors
+  q1->_kirchhoff.getMat(m1); Ce.getMat(m2); Ee.getMat(m3); q0->_Ee.getMat(m4); Ee0_rot.getMat(m5);
+  m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+  m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+  m3.eig(eigenValReal3,eigenValImag3,leftEigenVect3,rightEigenVect3,false);
+  m4.eig(eigenValReal4,eigenValImag4,leftEigenVect4,rightEigenVect4,false);
+  m5.eig(eigenValReal5,eigenValImag5,leftEigenVect5,rightEigenVect5,false);
+  // NEW - EIGEN
+*/
+
+  // get predictor - dKeprDT
+  mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T);
+  const STensor3& dKeprDT = q1->_DcorKirDT; // This has all extrabranches now
+
+  // Initialise Dho
+  static STensor43 Dho, Dho2inv, Dho2_u_inv;  // These will be important tensors.
+  double Dho2_v_inv(0.);
+
+  // Get Kepr
+  static STensor3 Kepr;  // Ke is corKir
+  Kepr = q1->_kirchhoff;
+
+  // Get Xn; Initialise X
+  static STensor3 devXn, devX;
+  static double trXn, pXn, eXn, trX;
+  STensorOperation::decomposeDevTr(q0->_backsig,devXn,trXn); // needed for chaboche model
+  pXn = 1./3.*trXn;  // 1st invariant of Xn
+  eXn = sqrt(1.5*devXn.dotprod()); // J2 invariant of Xn
+
+  // Initialise Phipr
+  static STensor3 PhiPr, Phi;
+  PhiPr = q1->_kirchhoff;
+  PhiPr -= q1->_backsig;
+  Phi = PhiPr;
+
+  static STensor3 devPhipr, devPhi; // effective dev stress predictor
+  double ptildepr(0.), ptilde(0.);
+  STensorOperation::decomposeDevTr(PhiPr,devPhipr,ptildepr);
+  ptildepr/= 3.;
+
+  // Initialise Normal
+  static STensor3 devN, N; // dev part of yield normal
+  double trN = 0.; // trace part of yield normal
+  STensorOperation::zero(devN);
+  STensorOperation::zero(N);
+
+  // Get plastic poisson ratio
+  q1->_nup = (9.-2.*_b)/(18.+2.*_b);
+  double kk = (1./sqrt(1.+2.*q1->_nup*q1->_nup));
+
+  // Initialise variables
+  double& Gamma = q1->_Gamma;   // flow rule parameter
+  Gamma = 0.;
+  double dDgammaDGamma = 0.;
+  double Dgamma = 0.; // eqplastic strain increment
+  static fullVector<double> m(2);
+  mlawNonLinearTVP::getChabocheCoeffs(m,0,q1);
+
+  double DfDGamma(0.), dfdDgamma(0.), dfdGamma(0.), dAdDgamma(0.), dAdGamma(0.);
+
+  // Initialise Cx
+  double Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;        // pow(kk,2) DEBUG
+  double Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+  double dCxdevdDgamma(0.), dCxtrdDgamma(0.);
+  if (Hb>0.){
+    Cxdev -= m(0)*dHb*Dgamma/Hb + 1./Hb * dHbdT * (T-T0);
+    Cxtr -= m(0)*dHb*Dgamma/Hb + 1./Hb * dHbdT * (T-T0);
+  }
+
+  // Initialise ptilde and devPhi
+  ptilde = ptildepr;
+  devPhi = devPhipr;
+
+  // Initialise the rest
+  if (_extraBranchNLType == TensionCompressionRegularisedType  || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
+    // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3
+    getDho(Gamma,Cepr,Ceinvpr,Kepr,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,&Ge_TrEeTensor,&rotationStiffness);
+  }
+  else{
+    getDho(Gamma,Cepr,Ceinvpr,Kepr,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,NULL,&rotationStiffness);
+  }
+
+  double PhiEqpr2 = 1.5*devPhi.dotprod();
+  double PhiEqpr = sqrt(PhiEqpr2);      // -> second invariant
+  double PhiEq = PhiEqpr;   // current effective deviator
+
+  // Get f and A
+  double f = a(2)*pow(PhiEq,_n) - (a(1)*ptilde+a(0));
+  double A = sqrt(6.*PhiEq*PhiEq+4.*_b*_b/3.*ptilde*ptilde);
+
+  // Initialise g
+  double dgdDgamma(0.), dgdGamma(0.);
+  double g = Dgamma - kk*Gamma*A;
+
+  // NR Loop - Gamma and Dgamma
+    if (q1->dissipationIsBlocked()){
+        q1->getRefToDissipationActive() = false;
+    }
+    else{
+        if (f>_tol){
+        	// Msg::Error("Plasticity");
+            q1->getRefToDissipationActive() = true;
+
+            // plasticity
+            int ite = 0;
+            int maxite = 100; // maximal number of iters
+            // Msg::Error("plasticity occurs f = %e",f);
+            //double f0 = fabs(f);
+
+            while (fabs(f) >_tol or ite <1){
+
+                // Viscosity term
+                double etaOverDt = eta/this->getTimeStep();
+
+                // Get dCxdevdDgamma, dCxtrdDgamma
+                dCxdevdDgamma = 0.; dCxtrdDgamma = 0.;
+                if (Hb>0.){
+                    dCxdevdDgamma = -m(0)*1./Hb*dHb - m(0)*Dgamma*(-1./pow(Hb,2.)*pow(dHb,2.) + 1./Hb*ddHb) - (T-T0)*(-1./pow(Hb,2.)*dHb*dHbdT + 1./Hb*ddHbdgammadT);
+                    dCxtrdDgamma = dCxdevdDgamma;
+                }
+                dCxdevdDgamma += 3.*m(1)*pow(kk,1)*dHb;        // pow(kk,2) DEBUG
+                dCxtrdDgamma += (2.*_b/3.)*m(1)*pow(kk,1)*dHb; // pow(kk,2) DEBUG
+
+                // Get Hp = dPhiPdDgamma, dPhiPdGamma
+                double Hp =  ( 2*_b*pow(kk,1)*Gamma/3.*ptilde*(Hb/pow(Cxtr,2)*dCxtrdDgamma-1./Cxtr*dHb) + 1./3.*trXn/pow(Cxtr,2)*dCxtrdDgamma ) * Dho2_v_inv; // pow(kk,2) DEBUG
+                double dPhiPdGamma = -2*_b*ptilde*(Ke + pow(kk,1)*Hb/(3.*Cxtr)) * Dho2_v_inv; // pow(kk,2) DEBUG
+
+                // Get He = dPhiEdGamma
+                // Get DdevPhidGamma
+                static STensor3 DdevPhidDgamma, DdevPhidDgamma_RHS;
+                static STensor3 DdevPhidGamma, DdevPhidGamma_RHS;
+                STensorOperation::zero(DdevPhidDgamma); STensorOperation::zero(DdevPhidGamma);
+                STensorOperation::zero(DdevPhidDgamma_RHS); STensorOperation::zero(DdevPhidGamma_RHS);
+
+                for (int i=0; i<3; i++)
+                    for (int j=0; j<3; j++){
+                        DdevPhidDgamma_RHS(i,j) += ( 3*Gamma*pow(kk,1)*( Hb/pow(Cxdev,2.)*dCxdevdDgamma - dHb/Cxdev ) * devPhi(i,j)
+                                                    + devXn(i,j)/pow(Cxdev,2.)*dCxdevdDgamma ); // pow(kk,2) DEBUG
+                        DdevPhidGamma_RHS(i,j) += (- 3*pow(kk,1)*Hb/Cxdev*devPhi(i,j) ); // pow(kk,2) DEBUG
+                        for (int k=0; k<3; k++)
+                            for (int l=0; l<3; l++){
+                                DdevPhidDgamma_RHS(i,j) += 2.*_b/3.*Gamma*( - Ge_TrEeTensor(i,j,k,l) - rotationStiffness(i,j,k,l))*_I(k,l)*Hp; // EIGEN
+                                DdevPhidGamma_RHS(i,j) += ( -3.*Ge_Tensor(i,j,k,l)*devPhi(k,l) + 2.*_b/3.*Gamma*(- Ge_TrEeTensor(i,j,k,l) - rotationStiffness(i,j,k,l) )*_I(k,l)*dPhiPdGamma ); // EIGEN
+                                DdevPhidGamma_RHS(i,j) += (-Ge_TrEeTensor(i,j,k,l) - rotationStiffness(i,j,k,l) )*N(k,l); // DEBUG // EIGEN
+                            }
+                    }
+                for (int i=0; i<3; i++)
+                    for (int j=0; j<3; j++)
+                        for (int k=0; k<3; k++)
+                            for (int l=0; l<3; l++){
+                                DdevPhidDgamma(i,j) += Dho2_u_inv(i,j,k,l)*DdevPhidDgamma_RHS(k,l);
+                                DdevPhidGamma(i,j) += Dho2_u_inv(i,j,k,l)*DdevPhidGamma_RHS(k,l);
+                            }
+
+                double Stemp1 = STensorOperation::doubledot(devPhi,DdevPhidDgamma);
+                double Stemp2 = STensorOperation::doubledot(devPhi,DdevPhidGamma);
+                double He = 1.5*Stemp1/PhiEq;
+                double dPhiEdGamma = 1.5*Stemp2/PhiEq;
+
+
+                // dAdGamma and dDgammaDGamma
+                dAdDgamma = (12.*PhiEq*He + 8.*_b*_b*ptilde*Hp/3.)/(2.*A);
+                dAdGamma = (12.*PhiEq*dPhiEdGamma + 8.*_b*_b*ptilde*dPhiPdGamma/3.)/(2.*A);
+
+                dDgammaDGamma = pow(kk,1)*(A+Gamma*dAdGamma);  // mistake in the paper (VD 2016) // pow(kk,2) DEBUG
+
+                this->getYieldCoefficientDerivatives(q1,q1->_nup,Da);
+
+                dfdDgamma = Da(2)*pow(PhiEq,_n) - Da(1)*ptilde -Da(0);
+                dfdDgamma += a(2)*_n*pow(PhiEq,(_n-1.))*He - a(1)*Hp;
+
+                if (Gamma>0 and etaOverDt>0)
+                    dfdDgamma -= _p*pow(etaOverDt,_p-1.)*Deta/this->getTimeStep()*pow(Gamma,_p);  // THIS term is absent in the paper!!
+
+                dfdGamma = _n*a(2)*pow(PhiEq,(_n-1.))*dPhiEdGamma - a(1)*dPhiPdGamma;
+                if (Gamma>0 and etaOverDt>0)
+                    dfdGamma -= pow(etaOverDt,_p)*_p*pow(Gamma,(_p-1.));
+
+                DfDGamma = dfdDgamma*dDgammaDGamma + dfdGamma; // unused
+
+                dgdDgamma = 1. - kk*Gamma*dAdDgamma;
+                dgdGamma = - dDgammaDGamma;
+
+                double dGamma = (-f + dfdDgamma*g/dgdDgamma)/(-dfdDgamma*dgdGamma/dgdDgamma + dfdGamma); // NR
+                double dDgamma = -(g+dgdGamma*dGamma)/dgdDgamma; // NR
+
+                if (Gamma + dGamma <=0.){
+                    Gamma /= 2.;                // NR
+                }
+                else
+                    Gamma += dGamma;
+
+                // Dgammma_test += dDgamma;
+                if (Dgamma + dDgamma <=0.){
+                    Dgamma /= 2.;
+                }
+                else
+                    Dgamma += dDgamma;
+
+                //Msg::Error("Gamma = %e",Gamma);
+                //Msg::Error("Dgamma = %e",Dgamma);
+
+
+                // UPDATE FOR NEXT ITERATION
+
+                // Update gamma and all Hardening moduli
+                mlawNonLinearTVP::updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                mlawNonLinearTVP::hardening(q0,q1,T);
+                mlawNonLinearTVP::getYieldCoefficients(q1,a);
+                if (q1->_ipKinematic != NULL){
+                    Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+                    dHb = q1->_ipKinematic->getDR(); // kinematic hardening parameter derivative (dHb/dgamma ??)
+                    dHbdT = q1->_ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file //NEW
+                    ddHbddT = q1->_ipKinematic->getDDRDTT();
+                    ddHbdgammadT = q1->_ipKinematic->getDDRDT();
+                }
+                //a.print("a update");
+
+                // Update Viscosity -> NEW 23rd May,2024
+                if (_viscosity != NULL)
+                    _viscosity->get(q1->_epspbarre,T,eta,Deta,DetaDT);
+
+                // Update Cx
+                Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+                Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb; // pow(kk,2) DEBUG
+                if (Hb>0.){
+                    Cxdev -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                    Cxtr -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                }
+
+                // Update Phi
+                if (_extraBranchNLType == TensionCompressionRegularisedType  || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
+                    // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3
+                    getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                                    Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1,alignedIndex,&Ge_TrEeTensor,&rotationStiffness);
+                }
+                else{
+                    getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                                    Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1,alignedIndex,NULL,&rotationStiffness);
+                }
+
+                PhiEq = sqrt(1.5*devPhi.dotprod());
+
+                // Update A
+                A = sqrt(6.*PhiEq*PhiEq+4.*_b*_b/3.*ptilde*ptilde);
+
+                /*
+                Dgamma = pow(kk,1)*Gamma*A;  // pow(kk,2) DEBUG
+                updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                hardening(q0,q1,T);
+                getYieldCoefficients(q1,a);*/
+
+                // Update f, g
+                f = a(2)*pow(PhiEq,_n) - (a(1)*ptilde+a(0));
+                double viscoTerm = etaOverDt*Gamma;
+                if (Gamma>0. and etaOverDt>0.) f-= pow(viscoTerm,_p);
+
+                g = Dgamma - kk*Gamma*A;
+
+                ite++;
+                // if (ite> maxite-5)
+                // Msg::Error("it = %d, DfDGamma = %e error = %e dGamma = %e, Gamma = %e",ite,DfDGamma,f,dGamma,Gamma);
+
+                if (fabs(f) <_tol) break;
+
+                if(ite > maxite){
+                    Msg::Error("No convergence for plastic correction in mlawNonLinearTVENonLinearTVP2 nonAssociatedFlow iter = %d, f = %e!!",ite,f);
+                    P(0,0) = P(1,1) = P(2,2) = sqrt(-1.);
+                    return;
+                }
+
+            } // while
+
+            q1->_DgammaDt = Dgamma/this->getTimeStep();
+
+            // Correct Cx
+            Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+            Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb; // pow(kk,2) DEBUG
+            if (Hb>0.){
+                Cxdev -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                Cxtr -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+            }
+
+            // Correct Phi
+            if (_extraBranchNLType == TensionCompressionRegularisedType || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
+                // TC asymmetry -> for either case of TensionCompressionRegularisedType and _ExtraBranch_TVE_option == 3
+                getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                    Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1,alignedIndex,&Ge_TrEeTensor,&rotationStiffness);
+            }
+            else{
+                getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                    Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1,alignedIndex,NULL,&rotationStiffness);
+            }
+            PhiEq = sqrt(1.5*devPhi.dotprod());
+
+            // Correct Normal, H = expGN
+            STensorOperation::decomposeDevTr(N,devN,trN);
+
+            // Get GammaN for mechSrcTVP -> done within the loop already
+            /*
+            STensorOperation::zero(GammaN);
+            GammaN = N;
+            GammaN *= Gamma;
+            q1->_GammaN = GammaN;*/
+
+            // Correct plastic deformation tensor
+            STensorOperation::multSTensor3(expGN,Fp0,Fp1);
+
+            // Correct IP gamma
+            updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                // Msg::Info("setting: gamma=%e ",q1->_epspbarre);
+
+            // Correct elastic deformation tensor, corotational stress
+            STensorOperation::inverseSTensor3(Fp1,Fpinv);
+            STensorOperation::multSTensor3(F,Fpinv,Fe);
+            STensorOperation::multSTensor3FirstTranspose(Fe,Fe,Ce);
+
+            bool ok=STensorOperation::logSTensor3(Ce,_order,Ee,&DlnDCe,&DDlnDDCe);
+            if(!ok)
+            {
+              P(0,0) = P(1,1) = P(2,2) = sqrt(-1.);
+              return;
+            }
+            Ee *= 0.5;
+
+            // Corrected corKir, mandel, backStress are already in the IP due to getIterated_DPhi
+            /*
+            // Correct A, B
+            mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
+            Ge_Tensor = _I4;
+            Ge_Tensor *= Ge*2; // *2 because the function doesnt do it
+            Ge_Tensor += Bd_stiffnessTerm;
+
+            // Correct backstress;
+            devX = (pow(kk,1)*Hb*Gamma*devN + devXn);  // pow(kk,2) DEBUG
+            devX *= 1./Cxdev;
+            trX = (pow(kk,1)*Hb*Gamma*trN + trXn)*1./Cxtr; // pow(kk,2) DEBUG
+            q1->_backsig = devX;
+            q1->_backsig(0,0) += trX/3.;
+            q1->_backsig(1,1) += trX/3.;
+            q1->_backsig(2,2) += trX/3.;
+
+            // Correct Mandel
+            q1->_ModMandel = devPhi;
+            q1->_ModMandel += q1->_backsig;
+            q1->_ModMandel(0,0) += (ptilde);
+            q1->_ModMandel(1,1) += (ptilde);
+            q1->_ModMandel(2,2) += (ptilde); */
+
+        } // 2nd if
+        else{
+            q1->getRefToDissipationActive() = false;
+        	// Msg::Error("Elasticity");
+        }
+    } // 1st if
+
+    // corKir
+    const STensor3& KS = q1->_kirchhoff;
+
+    // second Piola Kirchhoff stress
+    static STensor3 S, Ceinv;
+    STensorOperation::inverseSTensor3(Ce,Ceinv);
+    STensorOperation::multSTensor3STensor43(KS,DlnDCe,S);
+
+    // mandel_e
+    static STensor3 MS;
+    for(int i=0; i<3; i++)
+        for(int j=0; j<3; j++){
+        	MS(i,j) = 0.;
+            for(int k=0; k<3; k++)
+              MS(i,j) += Ce(i,k)*S(k,j);
+        }
+    q1->_ModMandel = MS;
+
+    // commuteChecker -> for commuting tensors Ce and Se, Me has to be symmetric ->
+    // 			For two cases, both in the case of viscoplasticity if Een and Ee dont share eigenvectors: 1. Due to plasticity (Rp)  2. Due to non-proportional loading
+    static STensor3 commuteChecker, MST;
+    STensorOperation::transposeSTensor3(MS,MST);
+    commuteChecker = MS;
+    commuteChecker -= MST;
+    q1->_mandelCommuteChecker = commuteChecker.norm0();
+    if(q1->_mandelCommuteChecker > 1.e-6){
+    	// Msg::Error("Mandel does not commute in mlawNonLinearTVENonLinearTVP2, norm = %e, tol = %e !!",q1->_mandelCommuteChecker,1.e-6);
+    }
+
+    // first PK
+    for(int i=0; i<3; i++)
+        for(int j=0; j<3; j++){
+            P(i,j) = 0.;
+            for(int k=0; k<3; k++)
+                for(int l=0; l<3; l++)
+                    P(i,j) += Fe(i,k)*S(k,l)*Fpinv(j,l);
+        }
+
+    // Msg::Error(" Inside TVP, after correction, after updating q1->_elasticEnergy = %e, eta = %e !!",q1->_elasticEnergy, eta_mullins);
+
+    // q1->getRefToElasticEnergy()=deformationEnergy(*q1);
+    q1->getRefToViscousEnergyPart()=viscousEnergy(*q0,*q1)+q0->getConstRefToViscousEnergyPart();
+    q1->getRefToPlasticEnergy() = q0->plasticEnergy();
+    if (Gamma > 0.){
+        double dotKSN = dot(KS,N);
+        q1->getRefToPlasticEnergy() += Gamma*dotKSN; // = Dp:Ke
+    }
+
+    // fluxT
+    double KThConT, DKThConDT;
+    mlawNonLinearTVM::getKTHCon(KThConT,T,&DKThConDT);
+    double J  = 1.;
+    STensor3 Finv(0.);
+    if (_thermalEstimationPreviousConfig){                                            // ADD  _thermalEstimationPreviousConfig
+        STensorOperation::inverseSTensor3(F0,Finv);
+        J = STensorOperation::determinantSTensor3(F0);
+    }
+    else{
+        STensorOperation::inverseSTensor3(F,Finv);
+        J = STensorOperation::determinantSTensor3(F);
+    }
+
+    static STensor3 Cinv;
+    STensorOperation::multSTensor3SecondTranspose(Finv,Finv,Cinv);
+    STensorOperation::multSTensor3SVector3(Cinv,gradT,fluxT);
+    fluxT *= (-KThConT*J);
+
+    // ThermSrc and MechSrc after dPdF and dPdT - But need the following tensors for the mechSrcTVP function call
+    static STensor3 DphiPDF;
+    STensorOperation::zero(DphiPDF);
+    STensorOperation::zero(dFpdF); //dFpdT
+    static STensor43 CeprToF, DEeDCepr, DEeDF, dGammaNdCepr; // conversion tensors
+    STensorOperation::zero(CeprToF);
+    STensorOperation::zero(DEeDCepr);
+    STensorOperation::zero(DEeDF);
+    STensorOperation::zero(dGammaNdCepr);
+
+    // I didnt make this
+    if (this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::DEFO_ENERGY){
+        q1->getRefToIrreversibleEnergy() = q1->defoEnergy();
+    }
+    else if ((this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::PLASTIC_ENERGY) or
+             (this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::DISSIPATION_ENERGY)){
+        q1->getRefToIrreversibleEnergy() = q1->plasticEnergy();
+    }
+    else{
+        q1->getRefToIrreversibleEnergy() = 0.;
+    }
+
+
+    if (stiff){
+
+        // dPdF
+
+        // 1. get Dp_pr_DCepr, DpDCepr
+        static STensor3 Dp_pr_DCepr, DpDCepr;
+        STensorOperation::multSTensor3STensor43(_I,DlnDCepr,Dp_pr_DCepr);
+        STensorOperation::multSTensor3STensor43(_I,DlnDCepr,DpDCepr);
+        Dp_pr_DCepr*= (0.5*Ke_pr);
+        DpDCepr*= (0.5*Ke);
+
+        // Ke and Ge_Tensor are already corrected if Gamma>0. because of the NR loop on Phi - Reuse DcorKirDEe later
+        static STensor43 DcorKirDEe_pr, DcorKirDEe;
+        STensorOperation::zero(DcorKirDEe_pr);
+        STensorOperation::zero(DcorKirDEe);
+        for (int i=0; i<3; i++)
+            for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                    for (int l=0; l<3; l++){
+                        DcorKirDEe(i,j,k,l) += Ke*_I(i,j)*_I(k,l);
+                        DcorKirDEe_pr(i,j,k,l) += Ke_pr*_I(i,j)*_I(k,l);
+                        for (int p=0; p<3; p++)
+                            for (int q=0; q<3; q++){
+                                DcorKirDEe_pr(i,j,k,l) += Ge_Tensor_pr(i,j,p,q)*_Idev(p,q,k,l);
+                                DcorKirDEe(i,j,k,l) += Ge_Tensor(i,j,p,q)*_Idev(p,q,k,l);
+                            }
+                    }
+        DcorKirDEe_pr += Ge_TrEeTensor_pr; // TC Assymmetry
+        DcorKirDEe += Ge_TrEeTensor; // TC Assymmetry
+
+        // NEW EIGEN
+        DcorKirDEe_pr += rotationStiffness_pr;
+        DcorKirDEe += rotationStiffness;
+        // NEW EIGEN
+
+        static STensor43 DcorKir_pr_DCepr, DcorKirDCepr;
+        STensorOperation::multSTensor43(DcorKirDEe_pr,DlnDCepr,DcorKir_pr_DCepr);
+        STensorOperation::multSTensor43(DcorKirDEe,DlnDCepr,DcorKirDCepr);
+        DcorKir_pr_DCepr *= 0.5; // use for DMeprDCepr
+        DcorKirDCepr *= 0.5; // correct this one later
+
+        // 2. get DCeprDCepr = _I4 and DCeinvprDCepr
+        static STensor43 DCeinvprDCepr;
+
+        for (int i=0; i<3; i++)
+            for (int s=0; s<3; s++)
+                for (int k=0; k<3; k++)
+                    for (int l=0; l<3; l++){
+                        DCeinvprDCepr(i,s,k,l) = 0.;
+                        for (int m=0; m<3; m++)
+                            for (int j=0; j<3; j++)
+                                DCeinvprDCepr(i,s,k,l) -= Ceinvpr(i,m)*_I4(m,j,k,l)*Ceinvpr(j,s);
+          }
+
+        //
+        static STensor43 DdevCorKir_pr_DCepr;
+        STensorOperation::zero(DdevCorKir_pr_DCepr);
+        for (int i=0; i<3; i++)
+          for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+            	 DdevCorKir_pr_DCepr(i,s,k,l) += DcorKir_pr_DCepr(i,s,k,l) - _I(i,s)*Dp_pr_DCepr(k,l);
+
+        //4. get DdevphiDCepr and DphiPprDCepr; and DphiEprDCepr
+        static STensor3 DphiPDCepr, DphiEDCepr, DphiEDdevPhi;
+        static STensor43 DdevphiDCepr, DphiDCepr;
+
+        DphiPDCepr = Dp_pr_DCepr;
+        DdevphiDCepr = DdevCorKir_pr_DCepr;
+
+        if (PhiEq >0.){
+            DphiEDdevPhi = devPhi;
+            DphiEDdevPhi *= 1.5/(PhiEq);
+        }
+
+        STensorOperation::multSTensor3STensor43(DphiEDdevPhi,DdevphiDCepr,DphiEDCepr);
+
+        DphiDCepr = DdevphiDCepr;
+        for (int i=0; i<3; i++)
+          for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+            	  DphiDCepr(i,s,k,l) += _I(i,s)*DphiPDCepr(k,l);
+
+        // 6. to 11. (inside if loop-> Gamma > 0.)
+        static STensor3 dAdCepr, dfDCepr, dgDCepr, DGDCepr, DgammaDCepr, DtrNDCepr, dTrXdCepr;
+        static STensor43 DdevNDCepr, dFpDCepr, dDevXdCepr, dXdCepr;
+
+        if (Gamma >0.){
+
+            //5.1 update DphiPDCepr to include the Gamma term
+            STensorOperation::zero(DphiPDCepr);
+            STensorOperation::multSTensor3STensor43(_I,DlnDCepr,DphiPDCepr);
+            DphiPDCepr*= (0.5*Ke);
+            DphiPDCepr *= Dho2_v_inv;
+
+            // update DpDCepr (needed for DdevphiDCepr)
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                DpDCepr(i,j) -= Ke*2*_b*(Gamma*DphiPDCepr(i,j));
+
+            //5.2 update DdevphiDCepr to include the Gamma term
+            STensorOperation::zero(DdevphiDCepr);
+
+            // get G1 tensor
+            // static STensor43 G1;
+            // mlawNonLinearTVENonLinearTVP2::get_G1_Tensor(Cepr,expGN,DCeinvprDCepr,KS,G1);
+
+            // get RHS
+            static STensor43 DdevphiDCepr_RHS;
+            STensorOperation::zero(DdevphiDCepr_RHS);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++){
+
+                        DdevphiDCepr_RHS(i,j,k,l) +=  ( (Ge_TrEeTensor(i,j,p,q) + rotationStiffness(i,j,p,q) )*0.5*DlnDCepr(p,q,k,l) +
+                                        (-Ge_TrEeTensor(i,j,p,q) - rotationStiffness(i,j,p,q))* ( 2.*_b*Gamma/3.*_I(p,q)*DphiPDCepr(k,l) ) );  // EIGEN
+
+                        for (int r=0; r<3; r++)
+                          for (int s=0; s<3; s++){
+
+                            DdevphiDCepr_RHS(i,j,k,l) +=  ( Ge_Tensor(i,j,p,q)*_Idev(p,q,r,s)*0.5*DlnDCepr(r,s,k,l));
+                          }
+
+                      }
+                  } // DEBUG
+            // DdevphiDCepr = DdevMeprDCepr; // DEBUG
+            // STensorOperation::multSTensor43(Dho2_u_inv,DdevMeprDCepr,DdevphiDCepr); // DEBUG
+            STensorOperation::multSTensor43(Dho2_u_inv,DdevphiDCepr_RHS,DdevphiDCepr); // DEBUG
+            STensorOperation::multSTensor3STensor43(DphiEDdevPhi,DdevphiDCepr,DphiEDCepr);
+
+            //6. get dAdCepr, dfDCepr
+            double fact = a(2)*_n*pow(PhiEq,_n-1.);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                dAdCepr(i,j) = ( 4./3.*_b*_b*ptilde*DphiPDCepr(i,j) + 6.*PhiEq*DphiEDCepr(i,j) )/A;
+                dfDCepr(i,j) = fact*DphiEDCepr(i,j)-a(1)*DphiPDCepr(i,j);
+                // dgDCepr(i,j) = -kk*Gamma*dAdCepr(i,j);
+              }
+            dgDCepr = dAdCepr;
+            dgDCepr *= (-kk*Gamma);
+
+            //7. get DGDCepr, DgammaDCepr
+            for (int i=0; i<3; i++)
+                for (int j=0; j<3; j++){
+                    DGDCepr(i,j) = (-dfDCepr(i,j) + dfdDgamma*dgDCepr(i,j)/dgdDgamma)/(dfdGamma - dfdDgamma*dgdGamma/dgdDgamma);
+                    DgammaDCepr(i,j) = (-dgdGamma*DGDCepr(i,j) - dgDCepr(i,j))/dgdDgamma;
+                }
+
+            //8.1 update DphiPDCepr
+            STensorOperation::zero(DphiPDCepr);
+            STensorOperation::multSTensor3STensor43(_I,DlnDCepr,DphiPDCepr);
+            DphiPDCepr*= (0.5*Ke);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                DphiPDCepr(i,j) += ( - Ke* 2.*_b*ptilde*DGDCepr(i,j)
+                                    - 2.*_b*pow(kk,1)/3. * ( (dHb/Cxtr - Hb/pow(Cxtr,2)*dCxtrdDgamma)*DgammaDCepr(i,j)*Gamma*ptilde + Hb/Cxtr*DGDCepr(i,j)*ptilde )
+                                    + 1./3.*trXn/pow(Cxtr,2)*dCxtrdDgamma*DgammaDCepr(i,j));
+                                    // DEBUG pow(kk,2)
+              }
+            DphiPDCepr *= Dho2_v_inv;
+
+            // update DpDCepr (needed for DdevphiDCepr)
+            STensorOperation::zero(DpDCepr);
+            STensorOperation::multSTensor3STensor43(_I,DlnDCepr,DpDCepr);
+            DpDCepr*= (0.5*Ke);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                DpDCepr(i,j) -= Ke*2*_b*( DGDCepr(i,j)*ptilde + Gamma*DphiPDCepr(i,j));
+
+            //8.2 update DdevphiDCepr and DphiEDCepr
+            STensorOperation::zero(DdevphiDCepr);
+
+            // get G1 tensor
+            // mlawNonLinearTVENonLinearTVP2::get_G1_Tensor(Cepr,expGN,DCeinvprDCepr,KS,G1);
+
+            // get RHS
+            // static STensor43 DdevphiDCepr_RHS;
+            STensorOperation::zero(DdevphiDCepr_RHS);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+
+                    DdevphiDCepr_RHS(i,j,k,l) += ( - 3.*pow(kk,1)*( ( dHb/Cxdev - Hb/pow(Cxdev,2)*dCxdevdDgamma )*Gamma*devPhi(i,j)*DgammaDCepr(k,l) + Hb/Cxdev*devPhi(i,j)*DGDCepr(k,l) )
+                            + 1./pow(Cxdev,2)*dCxdevdDgamma*devXn(i,j)*DgammaDCepr(k,l)); // DEBUG pow(kk,2)
+
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++){
+
+                        DdevphiDCepr_RHS(i,j,k,l) +=  ( - 3.*Ge_Tensor(i,j,p,q)*devPhi(p,q)*DGDCepr(k,l)
+                                                    + (-Ge_TrEeTensor(i,j,p,q) -rotationStiffness(i,j,p,q)) * ( N(p,q)*DGDCepr(k,l) + 2.*_b*Gamma/3.*_I(p,q)*DphiPDCepr(k,l) )
+                                                    +  (Ge_TrEeTensor(i,j,p,q) + rotationStiffness(i,j,p,q)) *0.5*DlnDCepr(p,q,k,l) ) ; // EIGEN
+                        for (int r=0; r<3; r++)
+                          for (int s=0; s<3; s++){
+
+                            DdevphiDCepr_RHS(i,j,k,l) +=  ( Ge_Tensor(i,j,p,q)*_Idev(p,q,r,s)*0.5*DlnDCepr(r,s,k,l) );
+                          }
+
+                      }
+                  }
+
+            STensorOperation::multSTensor43(Dho2_u_inv,DdevphiDCepr_RHS,DdevphiDCepr);
+            STensorOperation::multSTensor3STensor43(DphiEDdevPhi,DdevphiDCepr,DphiEDCepr);
+
+            DphiDCepr = DdevphiDCepr;
+            for (int i=0; i<3; i++)
+              for (int s=0; s<3; s++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                	  DphiDCepr(i,s,k,l) += _I(i,s)*DphiPDCepr(k,l);
+
+            //9. get DtrNDCepr DdevNdCepr
+            DtrNDCepr = DphiPDCepr;
+            DtrNDCepr *= (2.*_b);
+
+            DdevNDCepr = DdevphiDCepr;
+            DdevNDCepr *= 3.;
+
+            /*
+            //0.0 Numerical Derivatives wrt Cepr
+            double ptilde_plus, Gamma_plus, Dgamma_plus, A_plus, f_plus;
+            static STensor3 devPhi_plus, Me_plus, P_plus;
+            static IPNonLinearTVP qPlus(*q0);
+
+            static STensor3 Cepr_plus, Fepr_plus, DphiPDCepr_plus, DGDCepr_plus, DgammaDCepr_plus, dAdCepr_plus, dfDCepr_plus;
+            static STensor43 DdevphiDCepr_plus;
+            Fepr_plus = Fepr;
+            for (int i=0; i<3; i++){
+              for (int j=0; j<3; j++){
+                Cepr_plus = Cepr;
+                Cepr_plus(i,j) += 0.5*_perturbationfactor;
+                Cepr_plus(j,i) += 0.5*_perturbationfactor;
+
+
+                TEST_predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(F0,F,q0,&qPlus,T0,T,
+                        Fepr_plus,Cepr_plus,ptilde_plus,devPhi_plus,Gamma_plus,Dgamma_plus,A_plus,f_plus,Me_plus,P_plus);
+
+
+                DGDCepr_plus(i,j) = (Gamma_plus-Gamma)/_perturbationfactor;
+                DgammaDCepr_plus(i,j) = (Dgamma_plus-Dgamma)/_perturbationfactor;
+                dAdCepr_plus(i,j) = (A_plus-A)/_perturbationfactor;
+                dfDCepr_plus(i,j) = (f_plus-f)/_perturbationfactor;
+                DphiPDCepr_plus(i,j) = (ptilde_plus-ptilde)/_perturbationfactor;
+
+                for (int k=0; k<3; k++){
+                  for (int l=0; l<3; l++){
+                      DdevphiDCepr_plus(k,l,i,j) = (devPhi_plus(k,l)-devPhi(k,l))/_perturbationfactor;
+                  }
+                }
+              }
+            }*/
+
+            // 10. get dFpDCepr
+            STensorOperation::zero(dGammaNdCepr);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    dGammaNdCepr(i,j,k,l) = N(i,j)*DGDCepr(k,l) + Gamma*DdevNDCepr(i,j,k,l) + Gamma/3.*_I(i,j)*DtrNDCepr(k,l);
+
+            static STensor43 CeprFp0;
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+                    CeprFp0(i,j,k,l) = 0.;
+                    for (int s=0; s<3; s++){
+                      CeprFp0(i,j,k,l) += dexpAdA(i,s,k,l)*Fp0(s,j);
+                    }
+                  }
+
+            STensorOperation::multSTensor43(CeprFp0,dGammaNdCepr,dFpDCepr);
+
+            // 10.1 get dXDCepr
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                dTrXdCepr(i,j) = pow(kk,1.)*( (dHb/Cxtr - Hb/pow(Cxtr,2)*dCxtrdDgamma)*Gamma*trN*DgammaDCepr(i,j) +
+                                        Hb/Cxtr*( trN*DGDCepr(i,j) + Gamma*DtrNDCepr(i,j) ) )
+                                        - trXn/pow(Cxtr,2)*dCxtrdDgamma*DgammaDCepr(i,j); // pow(kk,2.) DEBUG
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+                    dDevXdCepr(i,j,k,l) = pow(kk,1.)*( (dHb/Cxdev - Hb/pow(Cxdev,2)*dCxdevdDgamma)*Gamma*devN(i,j)*DgammaDCepr(k,l) +
+                                                Hb/Cxdev*( devN(i,j)*DGDCepr(k,l) + Gamma*DdevNDCepr(i,j,k,l) ) )
+                                                - 1./pow(Cxdev,2)*dCxdevdDgamma*devXn(i,j)*DgammaDCepr(k,l); // pow(kk,2.) DEBUG
+                  }
+                }
+
+            STensorOperation::zero(dXdCepr);
+            dXdCepr = dDevXdCepr;
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    dXdCepr(i,j,k,l) += 1./3. * _I(i,j)*dTrXdCepr(k,l);
+
+            // 11. update DcorKirDCepr
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++)
+                        DcorKirDCepr(i,j,k,l) -= DcorKirDEe(i,j,p,q)*dGammaNdCepr(p,q,k,l);
+        } // if Gamma
+        else{
+            // elastic
+            STensorOperation::zero(DgammaDCepr); STensorOperation::zero(DGDCepr); STensorOperation::zero(DtrNDCepr);
+            STensorOperation::zero(dFpDCepr); STensorOperation::zero(dTrXdCepr); STensorOperation::zero(DdevNDCepr);
+            STensorOperation::zero(dDevXdCepr); STensorOperation::zero(dXdCepr); STensorOperation::zero(dGammaNdCepr);
+        }
+
+        // 12. get  CeprToF conversion tensor
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                CeprToF(i,j,k,l) = 2.*Fepr(k,i)*invFp0(j,l);
+
+        // 13. get DcorKirDF
+        static STensor43 DKcorDF;
+        STensorOperation::multSTensor43(DcorKirDCepr,CeprToF,DKcorDF);
+
+        // 14. dXdF, dGammaNdF, DphiPDF for mechSrc
+        STensor43& dXdF = q1->getRefToDbackStressdF();
+        STensorOperation::zero(dXdF);
+        STensorOperation::multSTensor43(dXdCepr,CeprToF,dXdF);
+
+        STensor43& dGammaNdF = q1->_dGammaNdF;
+        STensorOperation::zero(dGammaNdF);
+        STensorOperation::multSTensor43(dGammaNdCepr,CeprToF,dGammaNdF);
+
+        // DphiPDCepr - use this for the pressure term in R
+        STensorOperation::zero(DphiPDF);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                DphiPDF(i,j) = DphiPDCepr(k,l)*CeprToF(k,l,i,j);
+
+        // 15. get DgammaDF
+        STensor3& DgammaDF = q1->_DgammaDF;
+        STensor3& DGammaDF = q1->_DGammaDF;
+        STensor43& DphiDF = q1->_DphiDF;
+        STensorOperation::zero(DgammaDF);
+        STensorOperation::zero(DGammaDF);
+        STensorOperation::zero(DphiDF);
+        if (Gamma > 0){
+          STensorOperation::multSTensor3STensor43(DgammaDCepr,CeprToF,DgammaDF);
+          STensorOperation::multSTensor3STensor43(DGDCepr,CeprToF,DGammaDF);
+          STensorOperation::multSTensor43(dFpDCepr,CeprToF,dFpdF);
+        }
+        STensorOperation::multSTensor43(DphiDCepr,CeprToF,DphiDF);
+
+        // 16. Everything else - Conversion Tensors
+        static STensor43 DinvFpDF, dCedF, dCeinvDF;
+        for (int i=0; i<3; i++)
+          for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                DinvFpDF(i,s,k,l) = 0.;
+                for (int m=0; m<3; m++)
+                  for (int j=0; j<3; j++)
+                    DinvFpDF(i,s,k,l) -= Fpinv(i,m)*dFpdF(m,j,k,l)*Fpinv(j,s);
+              }
+
+        for (int m=0; m<3; m++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                dFedF(m,j,k,l) = _I(m,k)*Fpinv(l,j);
+                for (int s=0; s<3; s++)
+                  dFedF(m,j,k,l) += F(m,s)*DinvFpDF(s,j,k,l);
+              }
+
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                dCedF(i,j,k,l) = 0.;
+                for (int p=0; p<3; p++){
+                    dCedF(i,j,k,l) += Fe(p,i)*dFedF(p,j,k,l) + dFedF(p,i,k,l)*Fe(p,j); // This Works!
+                }
+              }
+
+        for (int i=0; i<3; i++)
+          for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                dCeinvDF(i,s,k,l) = 0.;
+                for (int m=0; m<3; m++)
+                  for (int j=0; j<3; j++)
+                    dCeinvDF(i,s,k,l) -= Ceinv(i,m)*dCedF(m,j,k,l)*Ceinv(j,s);
+              }
+
+        // 17. Tangent - dPdF
+        static STensor43 dSdCepr, dSdF, dMedCepr;
+        STensor43& dMedF = q1->getRefToDModMandelDF();
+        STensorOperation::zero(dMedF);
+
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                dMedF(i,j,k,l) = DKcorDF(i,j,k,l);  // KS is corKir
+
+
+        static STensor63 DlnDF;
+        if (_order != 1){
+          for (int i=0; i<3; i++){
+            for (int j=0; j<3; j++){
+              for (int k=0; k<3; k++){
+                for (int l=0; l<3; l++){
+                  for (int p=0; p<3; p++){
+                    for (int q=0; q<3; q++){
+                      DlnDF(i,j,k,l,p,q) = 0.;
+                      for (int r=0; r<3; r++){
+                        for (int s=0; s<3; s++){
+                          for (int a=0; a<3; a++){
+                            DlnDF(i,j,k,l,p,q) += DDlnDDCe(i,j,k,l,r,s)*2.*Fe(a,r)*dFedF(a,s,p,q);
+                          }
+                        }
+                      }
+                    }
+                  }
+                }
+              }
+            }
+          }
+
+        }
+        else{
+          STensorOperation::zero(DlnDF);
+        }
+
+        STensorOperation::zero(dSdF);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                for (int m=0; m<3; m++)
+                  for (int n=0; n<3; n++){
+                    dSdF(i,j,k,l) += DKcorDF(m,n,k,l)*DlnDCe(m,n,i,j);
+                    dSdF(i,j,k,l) += KS(m,n)*DlnDF(m,n,i,j,k,l);
+                  }
+
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                Tangent(i,j,k,l) = 0.;
+                for (int m=0; m<3; m++){
+                  for (int n=0; n<3; n++){
+                    Tangent(i,j,k,l) += dFedF(i,m,k,l)*S(m,n)*Fpinv(j,n);
+                    Tangent(i,j,k,l) += Fe(i,m)*dSdF(m,n,k,l)*Fpinv(j,n);
+                    Tangent(i,j,k,l) += Fe(i,m)*S(m,n)*DinvFpDF(j,n,k,l);
+                  }
+                }
+              }
+
+
+        // dP/dT
+
+        // 1. get dMeprDT from dKeprDT  -> DcorKirprDT from TVE
+        static STensor3 dDevKeprDT, dDevCorKirDT, DcorKirDT;
+        double DpDT(0.), dpKeprDT(0.);
+
+        STensorOperation::decomposeDevTr(dKeprDT,dDevKeprDT,dpKeprDT);
+        dpKeprDT = dKeprDT.trace()/3.;
+
+        DcorKirDT = dKeprDT; // update later
+
+        // 2. initialise dXdT - > need this for DmechsourceDT -> initialise here (X is backStress)
+        STensor3& dXdT = q1->getRefToDbackStressdT();
+        STensorOperation::zero(dXdT);
+        STensor3& dGammaNdT =  q1->_dGammaNdT;
+        STensorOperation::zero(dGammaNdT);
+
+        // 3. get dPhipprDT and dDevPhiprDT
+        double dPhiPdT(0.);
+        static STensor3 dDevPhiDT;
+        STensor3& DphiDT = q1->_DphiDT;
+
+        dPhiPdT = dpKeprDT;
+        dDevPhiDT = dDevKeprDT;
+
+        DphiDT = dDevPhiDT;
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+        	  DphiDT(i,j) +=  dPhiPdT*_I(i,j);
+
+        // 4. get dPhiEdT
+        double dPhiEdT(0.);
+        STensorOperation::doubleContractionSTensor3(DphiEDdevPhi,dDevPhiDT,dPhiEdT);
+
+        // 5. to 11. (inside if loop-> Gamma > 0.)
+        double& dGammaDT = q1->_DGammaDT;
+        double& DgammaDT = q1->_DgammaDT;
+        dGammaDT = 0.; DgammaDT =0.;
+
+        double dAdT(0.), dfdT(0.), dgdT(0.), DtrNdT(0.), DtrXdT(0.);
+        static STensor3 DdevNdT, dFpDT, DdevXdT;
+
+        // eta(0.), Deta(0.), DetaDT(0.);
+        if (_viscosity != NULL)
+            _viscosity->get(q1->_epspbarre,T,eta,Deta,DetaDT);
+        double etaOverDt = eta/this->getTimeStep();
+
+        if (Gamma >0){
+        // plastic
+
+            // =============================== ROUND 1 - Updates for dAdT, dfdT, dgdT ================================================== //
+
+            // 5.1 update dCxdT
+            double dCxdevdT(0.), dCxtrdT(0.);
+            // dHbdT+dHb*DgammaDT
+            if (Hb>0.){
+                dCxdevdT = -m(0)*( -1./pow(Hb,2.)*dHb*Dgamma*(dHbdT) + 1./Hb*(ddHbdgammadT*Dgamma + dHb*DgammaDT))
+                      + (1./pow(Hb,2.)*(dHbdT)*(dHbdT) - 1./Hb*ddHbddT)*(T-T0) -1./Hb*dHbdT;
+            }
+            dCxtrdT = dCxdevdT;
+            dCxdevdT += 3.*m(1)*pow(kk,1.)*(dHbdT); // pow(kk,2.) DEBUG
+            dCxtrdT += 2.*_b/3.*m(1)*pow(kk,1.)*(dHbdT); // pow(kk,2.) DEBUG
+
+            // 5.2 update DcorKirDT for shift factor derivatives - // dAdT and dBdT for maxwell elements are updated inside the loop for Phi
+            mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T);
+            DcorKirDT = q1->_DcorKirDT;
+            STensorOperation::decomposeDevTr(DcorKirDT,dDevCorKirDT,DpDT);
+            DpDT = DcorKirDT.trace()/3.;
+
+            // 5.2 update dPhiPdT, dDevPhiDT to get dAdT, dfdT, dgdT
+            dPhiPdT = DpDT + Ke*(-2*_b*ptilde*dGammaDT)
+                        - 2.*_b*pow(kk,1)/3.*( (dHbdT/Cxtr - Hb/pow(Cxtr,2)*dCxtrdT ) *Gamma*ptilde + Hb/Cxtr*dGammaDT*ptilde )
+                        + 1./3.*trXn/pow(Cxtr,2)*dCxtrdT ; // pow(kk,2.) DEBUG
+            dPhiPdT *= Dho2_v_inv;
+
+            // 5.3 update DpDT
+            DpDT += 2*_b*Ke*(-dGammaDT*ptilde - Gamma*dPhiPdT);
+
+            // 5.4 update DdevphiDT
+            static STensor3 DdevphiDT_RHS;
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                DdevphiDT_RHS(i,j) = ( dDevCorKirDT(i,j) )
+                                        - 3*pow(kk,1)*( (dHbdT/Cxdev - Hb/pow(Cxdev,2)*dCxdevdT)*Gamma*devPhi(i,j) + Hb/Cxdev*dGammaDT*devPhi(i,j) )
+                                        + 1./pow(Cxdev,2)*dCxdevdT*devXn(i,j);  // pow(kk,2.) DEBUG
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+                    DdevphiDT_RHS(i,j) += ( -3*dGammaDT*Ge_Tensor(i,j,k,l)*devPhi(k,l)
+                                                + (-Ge_TrEeTensor(i,j,k,l) -rotationStiffness(i,j,k,l))*( dGammaDT*N(k,l) + 2.*_b/3.*dPhiPdT*_I(k,l) ) ); // EIGEN
+                  }
+              }
+
+            STensorOperation::multSTensor3STensor43(DdevphiDT_RHS,Dho2_u_inv,dDevPhiDT);
+            STensorOperation::doubleContractionSTensor3(DphiEDdevPhi,dDevPhiDT,dPhiEdT);
+
+            // =============================== ROUND 1 - END ========================================================================= //
+
+            // 6. get dAdT, dfdT, dgdT
+            fullVector<double> DaDT(3), DDaDTT(3);
+            getYieldCoefficientTempDers(q1,T,DaDT,DDaDTT);
+
+            dAdT = (4./3.*_b*_b*ptilde*dPhiPdT + 6.*PhiEq*dPhiEdT)/A;
+            dfdT = DaDT(2)*pow(PhiEq,_n) + a(2)*_n*pow(PhiEq,_n-1.)*dPhiEdT - DaDT(1)*ptilde - a(1)*dPhiPdT - DaDT(0);
+            if (this->getTimeStep()>0){
+                dfdT -= (DetaDT*Gamma/this->getTimeStep())*_p*pow((eta*Gamma/this->getTimeStep()),(_p-1.));
+            }
+
+            dgdT = -kk*Gamma*dAdT;
+
+            // 7. get dGammaDT, DgammaDT
+            dGammaDT = (-dfdT + dfdDgamma*dgdT/dgdDgamma)/(dfdGamma - dfdDgamma*dgdGamma/dgdDgamma);
+            DgammaDT = (-dgdGamma*dGammaDT - dgdT)/dgdDgamma;
+
+            // =============================== ROUND 2 - Updates for dPhiPdT, DdevphiDT ================================================== //
+            // 8. update dCxdT
+            // dHbdT+dHb*DgammaDT
+            if (Hb>0.){
+                dCxdevdT = -m(0)*( -1./pow(Hb,2.)*dHb*Dgamma*(dHbdT) + 1./Hb*(ddHbdgammadT*Dgamma + dHb*DgammaDT))
+                      + (1./pow(Hb,2.)*(dHbdT)*(dHbdT) - 1./Hb*ddHbddT)*(T-T0) -1./Hb*dHbdT;
+            }
+            dCxtrdT = dCxdevdT;
+            dCxdevdT += 3.*m(1)*pow(kk,1.)*(dHbdT); // pow(kk,2.) DEBUG
+            dCxtrdT += 2.*_b/3.*m(1)*pow(kk,1.)*(dHbdT); // pow(kk,2.) DEBUG
+
+            // 9. update DpDT 1 - shift factor derivatives
+            DpDT = DcorKirDT.trace()/3.;
+
+            // 10. update dPhiPdT
+            dPhiPdT = DpDT + Ke*(-2*_b*ptilde*dGammaDT)
+                        - 2.*_b*pow(kk,1)/3.*( (dHbdT/Cxtr - Hb/pow(Cxtr,2)*dCxtrdT ) *Gamma*ptilde + Hb/Cxtr*dGammaDT*ptilde )
+                        + 1./3.*trXn/pow(Cxtr,2)*dCxtrdT ; // pow(kk,2.) DEBUG
+            dPhiPdT *= Dho2_v_inv;
+
+            // 10.1 update DpDT 2
+            DpDT += 2*_b*Ke*(-dGammaDT*ptilde - Gamma*dPhiPdT);
+
+            // 11. update DdevphiDT
+            STensorOperation::zero(DdevphiDT_RHS);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                DdevphiDT_RHS(i,j) = ( dDevCorKirDT(i,j) )
+                                    - 3*pow(kk,1)*( (dHbdT/Cxdev - Hb/pow(Cxdev,2)*dCxdevdT)*Gamma*devPhi(i,j) + Hb/Cxdev*dGammaDT*devPhi(i,j) )
+                                    + 1./pow(Cxdev,2)*dCxdevdT*devXn(i,j);   // pow(kk,2.) DEBUG
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+                    DdevphiDT_RHS(i,j) += ( -3*dGammaDT*Ge_Tensor(i,j,k,l)*devPhi(k,l)
+                                                + (-Ge_TrEeTensor(i,j,k,l) - rotationStiffness(i,j,k,l))*( dGammaDT*N(k,l) + 2.*_b/3.*Gamma*dPhiPdT*_I(k,l) ) ); // EIGEN
+                  }
+              }
+
+            STensorOperation::multSTensor3STensor43(DdevphiDT_RHS,Dho2_u_inv,dDevPhiDT);
+
+            DphiDT = dDevPhiDT;
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+            	  DphiDT(i,j) +=  dPhiPdT*_I(i,j);
+
+            // =============================== ROUND 2 - END ========================================================================= //
+
+            // 12. get DtrNdT, DdevNdT
+            DtrNdT = dPhiPdT;
+            DtrNdT *= (2.*_b);
+
+            DdevNdT = dDevPhiDT;
+            DdevNdT *= 3.;
+
+            // 13. get dFpdT
+            STensorOperation::zero(dGammaNdT);
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                dGammaNdT(i,j) += N(i,j)*dGammaDT + Gamma*DdevNdT(i,j) + Gamma/3.*_I(i,j)*DtrNdT;
+
+            static STensor43 CeprFp0;
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++){
+                    CeprFp0(i,j,k,l) = 0.;
+                    for (int s=0; s<3; s++)
+                      CeprFp0(i,j,k,l) += dexpAdA(i,s,k,l)*Fp0(s,j);
+                  }
+
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++){
+                dFpdT(i,j) = 0.;
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    dFpdT(i,j) += CeprFp0(i,j,k,l)*dGammaNdT(k,l);
+                }
+
+            // 14. dXdT - backstress temperature derivative -> correction - CHECK!!!
+            DtrXdT = pow(kk,1.)*( (dHbdT/Cxtr - Hb/pow(Cxtr,2)*dCxtrdT ) *Gamma*trN + Hb/Cxtr*(dGammaDT*trN + Gamma*DtrNdT) ) - trXn/pow(Cxtr,2)*dCxtrdT; // pow(kk,2.) DEBUG
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                DdevXdT(i,j) = pow(kk,1.)*( (dHbdT/Cxdev - Hb/pow(Cxdev,2)*dCxdevdT)*Gamma*devN(i,j) + Hb/Cxdev*( dGammaDT*devN(i,j) + Gamma*DdevNdT(i,j) ) )
+                                - 1./pow(Cxdev,2)*dCxdevdT * devXn(i,j);  // pow(kk,2.) DEBUG
+
+            STensorOperation::zero(dXdT);
+            dXdT = DdevXdT;
+            dXdT(0,0) = DtrXdT/3.;
+            dXdT(1,1) = DtrXdT/3.;
+            dXdT(2,2) = DtrXdT/3.;
+
+            // 15. update DcorKirDT
+            for (int i=0; i<3; i++)
+              for (int j=0; j<3; j++)
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                      DcorKirDT(i,j) -= DcorKirDEe(i,j,k,l)*dGammaNdT(k,l);
+
+            q1->_DcorKirDT = DcorKirDT; // update in IP
+
+        } // if Gamma
+        else{
+            // elastic
+            STensorOperation::zero(dFpDT); STensorOperation::zero(DdevXdT); STensorOperation::zero(DdevNdT);
+            }
+
+        // 16. get dKcorDT
+        // done above
+
+        // 17. get DinvFpdT, dFedT, dCedT, dCeinvDT
+        static STensor3 DinvFpdT, dFedT, dCedT, dCeinvdT;
+        STensorOperation::zero(DinvFpdT);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int p=0; p<3; p++)
+              for (int q=0; q<3; q++)
+                DinvFpdT(i,j) -= Fpinv(i,p)*dFpdT(p,q)*Fpinv(q,j);
+
+        STensorOperation::zero(dFedT);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              dFedT(i,j) += F(i,k)*DinvFpdT(k,j);
+
+        STensorOperation::zero(dCedT);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int p=0; p<3; p++)
+              dCedT(i,j) += Fe(p,i)*dFedT(p,j) + dFedT(p,i)*Fe(p,j); // This Works!
+
+        STensorOperation::zero(dCeinvdT);
+        for (int i=0; i<3; i++)
+          for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                dCeinvdT(i,s) -= Ceinv(i,k)*dCedT(k,l)*Ceinv(l,s);
+
+        // 18. get dMeDT -> needed for DmechSourceDT
+        STensor3& dMeDT = q1->getRefToDModMandelDT();
+        STensorOperation::zero(dMeDT);
+
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            dMeDT(i,j) = DcorKirDT(i,j);
+
+        // 19. get dSdT
+
+        static STensor43 DLDT;
+        STensorOperation::zero(DLDT);
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++)
+                for (int r=0; r<3; r++)
+                  for (int s=0; s<3; s++)
+                    for (int a=0; a<3; a++)
+                      DLDT(i,j,k,l) += DDlnDDCe(i,j,k,l,r,s)*2.*Fe(a,r)*dFedT(a,s);
+
+        static STensor3 dSdT;
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++){
+            dSdT(i,j) = 0.;
+            for (int r=0; r<3; r++)
+              for (int s=0; s<3; s++){
+            	dSdT(i,j) += DcorKirDT(r,s)*DlnDCe(r,s,i,j) + KS(r,s)*DLDT(r,s,i,j);
+            }
+         }
+
+         // 20. Finally, get dPdT
+        for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++){
+            dPdT(i,j) = 0.;
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                dPdT(i,j) += (dFedT(i,k)*S(k,l)*Fpinv(j,l) + Fe(i,k)*dSdT(k,l)*Fpinv(j,l) + Fe(i,k)*S(k,l)*DinvFpdT(j,l));
+              }
+          }
+
+        // TVP - flux derivatives
+        // fluxT
+        dfluxTdT = fluxT;
+        dfluxTdT *= (DKThConDT/KThConT);
+        dfluxTdgradT = Cinv;
+        dfluxTdgradT *= (-KThConT*J);
+        STensorOperation::zero(dfluxTdF);
+
+        if (!_thermalEstimationPreviousConfig){
+
+            static STensor3 DJDF;
+            static STensor43 DCinvDF;
+            for (int i=0; i<3; i++){
+              for (int j=0; j<3; j++){
+                DJDF(i,j) = J*Finv(j,i);
+                for (int k=0; k<3; k++){
+                  for (int l=0; l<3; l++){
+                    DCinvDF(i,j,k,l) = 0.;
+                    for (int p=0; p<3; p++){
+                      for (int a=0; a<3; a++){
+                        for (int b=0; b<3; b++){
+                          DCinvDF(i,j,k,l) -= 2.*F(k,p)*Cinv(i,a)*Cinv(j,b)*_I4(a,b,p,l);
+                        }
+                      }
+                    }
+                  }
+                }
+              }
+            }
+
+            for (int i=0; i<3; i++){
+              for (int j=0; j<3; j++){
+                for (int k=0; k<3; k++){
+                  dfluxTdF(i,j,k) += (DJDF(j,k)*fluxT(i)/J);
+                  for (int l=0; l<3; l++){
+                    dfluxTdF(i,j,k) -= (J*DCinvDF(i,l,j,k)*gradT(l)*KThConT);
+                  }
+                }
+              }
+            }
+        }
+
+    } // if stiff
+
+
+    // thermalEnergy
+    if (stiff){
+        double& DDpsiTVMdTT = q1->getRefToDDFreeEnergyTVMdTT();
+        // getFreeEnergyTVM(q0,q1,T0,T,NULL,NULL,&DDpsiTVMdTT);
+        // CpT = -T*DDpsiTVMdTT;
+        getCp(CpT,T);
+    }
+    else{
+        getCp(CpT,T);
+    }
+
+    q1->_thermalEnergy = CpT*T;
+
+    // thermalSource
+    if (this->getTimeStep() > 0.){
+        thermalSource = -CpT*(T-T0)/this->getTimeStep();
+    }
+    else
+        thermalSource = 0.;
+
+    // mechanical Source
+    double& Wm_TVP = q1->getRefToMechSrcTVP(); // TVP
+    double& Wm_TVE = q1->getRefToMechSrcTVE(); // TVE
+
+    mechanicalSource = 0.;
+    double mechanicalSource_cap = 0.; // in case of mullins, undamaged mechanicalSource
+
+    // 1) ThermoElastic Heat -> _DcorKirDT needs to corrected for plasticity ( DcorKirDT = dcorKir_dT + dCorKirDEe * dEeDT )
+    static STensor3 DEe;
+    DEe = q1->_Ee;
+    DEe -= q0->_Ee;
+    if (this->getTimeStep() > 0){
+        // mechanicalSource += (STensorOperation::doubledot(q1->_DcorKirDT,DEe)*T/this->getTimeStep());
+    }
+
+    // 2) Viscoelastic Contribution to mechSrc
+    double& dWmdT_TVE = q1->getRefTodMechSrcTVEdT();
+    STensor3& dWmdF_TVE = q1->getRefTodMechSrcTVEdF();
+    static STensor3 dWmdE_TVE;
+    mlawNonLinearTVM::getMechSource_nonLinearTVE_term(q0,q1,T0,T,Wm_TVE,stiff,dWmdE_TVE,dWmdT_TVE);
+    // mechanicalSource += Wm_TVE;
+
+    // 3) Viscoplastic Contribution to mechSrc
+    double& dWmdT_TVP = q1->getRefTodMechSrcTVPdT();
+    STensor3& dWmdF_TVP = q1->getRefTodMechSrcTVPdF();
+    mlawNonLinearTVP::getMechSourceTVP(F0,F,q0,q1,T0,T,Fepr,Cepr,DphiPDF,Wm_TVP,dWmdF_TVP,dWmdT_TVP);
+    mechanicalSource += Wm_TVP;
+
+    // --------------------------------------------------------------------------------------------
+    // TVE energy and derivatives
+    double& Dpsi_DT = q1->getRefTo_Dpsi_DT();
+    STensor3& Dpsi_TVEdE = q1->getRefTo_Dpsi_DE();
+    q1->_elasticEnergy = mlawNonLinearTVM::freeEnergyMechanical(*q0,*q1,T0,T,&Dpsi_DT,&Dpsi_TVEdE);
+
+    // TVP energy and derivatives
+    double psi_TVP = freeEnergyPlasticity(q0,q1,T0,T);
+    double Dpsi_TVPdT(0.);
+    static STensor3 Dpsi_TVPdF;
+    freeEnergyPlasticityDerivatives(q0,q1,T0,T,Dpsi_TVPdF,Dpsi_TVPdT);
+    // q1->_elasticEnergy += psi_TVP; // Mullins TVP
+    // Dpsi_DT += Dpsi_TVPdT;  // add plastic part // Mullins TVP
+    Dpsi_DT -= dot(Dpsi_TVEdE,q1->_dGammaNdT); // add plastic dependency of elastic strain // Mullins TVP
+
+    // Mullins Effect
+    if (_mullinsEffect != NULL && q1->_ipMullinsEffect != NULL){
+        mlawNonLinearTVM::calculateMullinsEffectScaler(q0, q1, T, &Dpsi_DT);
+    }
+    double eta_mullins = 1.;
+
+    if (q1->_ipMullinsEffect != NULL){
+
+        // Put Stress in IP
+        q1->_P_cap = P;
+
+        // Modify Stress for mullins
+        eta_mullins = q1->_ipMullinsEffect->getEta();
+        P *= eta_mullins;
+        // q1->_elasticEnergy *= eta_mullins;
+
+    	mechanicalSource_cap = mechanicalSource;
+        mechanicalSource *= q1->_ipMullinsEffect->getEta();
+        if (this->getTimeStep() > 0){
+            mechanicalSource -= q1->_ipMullinsEffect->getDpsiNew_DpsiMax()*(q1->_ipMullinsEffect->getpsiMax() - q0->_ipMullinsEffect->getpsiMax())/this->getTimeStep();
+        }
+    }
+
+
+    if(stiff){
+
+    	// --------------------------------------------------------------------------------------------
+        // Important conversion tensors
+        STensorOperation::zero(DEeDCepr);
+        STensorOperation::zero(DEeDF);
+
+        // DEeDCepr to DEeDF
+        // STensorOperation::multSTensor43(_I4, DlnDCepr, DEeDCepr);
+        DEeDCepr = DlnDCepr;
+        DEeDCepr *= 0.5;
+        DEeDCepr -= dGammaNdCepr;
+        STensorOperation::multSTensor43(DEeDCepr, CeprToF, DEeDF);
+
+        // Note: DEeDT = - dGammaNdT
+        // --------------------------------------------------------------------------------------------
+
+        // thermSrc and MechSrc Derivatives
+
+        // thermal source derivatives
+        double DCpDT(0.);
+        mlawNonLinearTVM::getCp(CpT,T,&DCpDT);
+        static STensor3 DCpDF;
+        STensorOperation::zero(DCpDF);                                                       // CHANGE for DCpDF
+
+        if (this->getTimeStep() > 0){
+            dthermalSourcedT = -DCpDT*(T-T0)/this->getTimeStep() - CpT/this->getTimeStep();
+            // dthermalSourcedT = -CpT/this->getTimeStep() - (CpT-CpT_0)/this->getTimeStep();
+            for(int i = 0; i< 3; i++){
+              for(int j = 0; j< 3; j++){
+                dthermalSourcedF(i,j) = -DCpDF(i,j)*(T-T0)/this->getTimeStep();
+              }
+            }
+        }
+        else{
+            dthermalSourcedT = 0.;
+            STensorOperation::zero(dthermalSourcedF);
+        }
+
+        // mechSourceTVP derivatives
+        dmechanicalSourcedT = 0.;
+        STensorOperation::zero(dmechanicalSourceF);
+        static STensor3 dmechanicalSourceE;
+        STensorOperation::zero(dmechanicalSourceE);
+
+          // DcorKirDT Term
+        STensor3& DDcorKirDTT = q1->getRefToDDcorKirDTT();
+        STensor43& DDcorKirDTDEe = q1->getRefToDDcorKirDTDE();
+
+        static STensor3 DcorKirDT_I;
+        STensorOperation::multSTensor3STensor43(q1->_DcorKirDT,_I4,DcorKirDT_I);
+        if (this->getTimeStep() > 0){
+            for (int i=0; i<3; i++){
+                for (int j=0; j<3; j++){
+                    dmechanicalSourceE(i,j) += T*DcorKirDT_I(i,j)/this->getTimeStep();
+                    for (int k=0; k<3; k++)
+                        for (int l=0; l<3; l++){
+                            dmechanicalSourceE(i,j) += T*DDcorKirDTDEe(k,l,i,j)*DEe(k,l)/this->getTimeStep();
+                            DDcorKirDTT(i,j) += - DDcorKirDTDEe(i,j,k,l)*q1->_dGammaNdT(k,l); // additional term due to TVP
+                        }
+                }
+            }
+            // STensorOperation::multSTensor3STensor43(dmechanicalSourceE,DEeDF,dmechanicalSourceF);
+
+            // dmechanicalSourcedT += (STensorOperation::doubledot(q1->_DcorKirDT,DEe)/this->getTimeStep());
+            // dmechanicalSourcedT += T*(STensorOperation::doubledot(DDcorKirDTT,DEe)/this->getTimeStep());
+            // dmechanicalSourcedT -= T*(STensorOperation::doubledot(q1->_DcorKirDT,q1->_dGammaNdT)/this->getTimeStep());
+        }
+
+        // TVE Term
+        STensorOperation::multSTensor3STensor43(dWmdE_TVE, DEeDF, dWmdF_TVE);
+        for (int i=0; i<3; i++)
+            for (int j=0; j<3; j++)
+                dWmdT_TVE += - dWmdE_TVE(i,j) *  q1->_dGammaNdT(i,j); // the second term in dWmdT_TVE from dependency of Ee on plasticity
+
+        // dmechanicalSourceF += dWmdF_TVE;
+        // dmechanicalSourcedT += dWmdT_TVE;
+
+
+        // TVP Term
+        dmechanicalSourceF += dWmdF_TVP;
+        dmechanicalSourcedT += dWmdT_TVP;
+
+    	// Mullins Effect Derivatives
+
+        // Compute Tangents for Mullin's Effect
+        if (_mullinsEffect != NULL && q1->_ipMullinsEffect != NULL){
+
+            // 1st Term
+            Tangent *= q1->_ipMullinsEffect->getEta();
+            dPdT *= q1->_ipMullinsEffect->getEta();
+            dmechanicalSourceF *= q1->_ipMullinsEffect->getEta();
+            dmechanicalSourcedT *= q1->_ipMullinsEffect->getEta();
+
+
+            // 2nd Term
+            double Deta_mullins_DT(0.);
+            static STensor3 Deta_mullins_DF, Deta_mullins_DEe;
+
+                // Deta_mullins_DF
+            STensorOperation::multSTensor3STensor43(q1->_DpsiDE,DEeDF,Deta_mullins_DF);
+            Deta_mullins_DF *= q1->_DmullinsDamage_Dpsi_cap; // elastic part
+            // Deta_mullins_DF += Dpsi_TVPdF*q1->_DmullinsDamage_Dpsi_cap; // plastic part // Mullins TVP
+
+                // Deta_mullins_DT
+            // STensorOperation::doubleContractionSTensor3(q1->_DpsiDE,q1->_dGammaNdT,Deta_mullins_DT); // Remove - Mullins TVP
+            // Deta_mullins_DT *= -q1->_DmullinsDamage_Dpsi_cap; // Remove - Mullins TVP
+            // Deta_mullins_DT += q1->_DmullinsDamage_DT; // Remove - Mullins TVP
+            Deta_mullins_DT = q1->_DmullinsDamage_DT; // + q1->_DmullinsDamage_Dpsi_cap*q1->_DpsiDT; // Mullins TVP
+
+            // 2nd Term - 1st PK
+            for (int i=0; i<3; i++)
+                for (int j=0; j<3; j++){
+                    dPdT(i,j) += q1->_P_cap(i,j) * Deta_mullins_DT;
+                        for (int k=0; k<3; k++)
+                            for (int l=0; l<3; l++)
+                                Tangent(i,j,k,l) += q1->_P_cap(i,j) * Deta_mullins_DF(k,l);
+                }
+
+
+            // 2nd Term - MechSrc
+            dmechanicalSourcedT += mechanicalSource_cap*Deta_mullins_DT;
+            for (int i=0; i<3; i++)
+                for (int j=0; j<3; j++){
+                    dmechanicalSourceF(i,j) += mechanicalSource_cap*Deta_mullins_DF(i,j);
+                }
+
+            static STensor3 DDpsiNew_DpsiMaxDF, DpsiMax_DF;
+            STensorOperation::multSTensor3STensor43(q1->_DpsiDE,DEeDF,DDpsiNew_DpsiMaxDF);
+            STensorOperation::multSTensor3STensor43(q1->_DpsiDE,DEeDF,DpsiMax_DF);
+            DDpsiNew_DpsiMaxDF *= q1->_ipMullinsEffect->getDDpsiNew_DpsiMaxDpsi();
+            DpsiMax_DF *= q1->_ipMullinsEffect->getDpsiMax_Dpsi();
+
+            if (this->getTimeStep() > 0){
+                dmechanicalSourcedT -= (q1->_ipMullinsEffect->getDDpsiNew_DpsiMaxDT()*(q1->_ipMullinsEffect->getpsiMax() - q0->_ipMullinsEffect->getpsiMax())/this->getTimeStep()
+                							+ q1->_ipMullinsEffect->getDpsiNew_DpsiMax()*q1->_ipMullinsEffect->getDpsiMax_Dpsi()*q1->_DpsiDT/this->getTimeStep());
+                for (int i=0; i<3; i++)
+                    for (int j=0; j<3; j++){
+                        dmechanicalSourceF(i,j) -= DDpsiNew_DpsiMaxDF(i,j)*(q1->_ipMullinsEffect->getpsiMax() - q0->_ipMullinsEffect->getpsiMax())/this->getTimeStep();
+                        dmechanicalSourceF(i,j) -= q1->_ipMullinsEffect->getDpsiNew_DpsiMax()*DpsiMax_DF(i,j)/this->getTimeStep();
+                    }
+            }
+
+        } // mullin's
+    }
+
+}
+
+void mlawNonLinearTVENonLinearTVP2::get_G1_Tensor(const STensor3& Cepr, const STensor3& expGN,
+                                    const STensor43& DCeinvprDCepr, const STensor3& KS, STensor43& G1) const{
+
+  static STensor3 Hinv;
+  STensorOperation::inverseSTensor3(expGN,Hinv);
+
+  static STensor3 Ceinvpr;
+  STensorOperation::inverseSTensor3(Cepr,Ceinvpr);
+
+  static STensor43 term1, term2;
+
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++){
+          term1(i,j,k,l) = 0.;
+          term2(i,j,k,l) = 0.;
+          for (int p=0; p<3; p++)
+            for (int q=0; q<3; q++)
+              for (int r=0; r<3; r++)
+                for (int s=0; s<3; s++)
+                  for (int m=0; m<3; m++)
+                    for (int o=0; o<3; o++){
+                      term1(i,j,k,l) += Hinv(i,p)*Hinv(p,q)*_I4(q,r,k,l)*KS(r,s)*Ceinvpr(s,m)*expGN(m,o)*expGN(o,j);
+                      term2(i,j,k,l) += Hinv(i,p)*Hinv(p,q)*Cepr(q,r)*KS(r,s)*DCeinvprDCepr(s,m,k,l)*expGN(m,o)*expGN(o,j);
+                    }
+         }
+  STensorOperation::zero(G1);
+  G1 = term1+term2;
+}
+
+void mlawNonLinearTVENonLinearTVP2::getDho(const double& Gamma, const STensor3& Cepr, const STensor3& Ceinvpr, const STensor3& KS,
+                                  const double& Ke, const STensor43& Ge_Tensor,
+                                  const double& kk, const double& Hb, const double& Cxtr, const double& Cxdev,
+                                  const STensor3& expGN, const STensor43& dexpAdA,
+                                  STensor43& Dho, STensor43& Dho2inv, STensor43& Dho2_u_inv, double& Dho2_v_inv, STensor43* Ge_TrEeTensor, STensor43* rotationStiffness) const{
+
+  // Ge_TrEeTensor -> Dependence of devCorKir on TrEe. DO NOT CHANGE ITS VALUE!
+
+ // Get DcorKirDEe for Dho 2nd term
+ static STensor43 DcorKirDEe;
+ STensorOperation::zero(DcorKirDEe);
+ for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++){
+            DcorKirDEe(i,j,k,l) += Ke*_I(i,j)*_I(k,l);
+            for (int p=0; p<3; p++)
+                for (int q=0; q<3; q++)
+                    DcorKirDEe(i,j,k,l) += Ge_Tensor(i,j,p,q)*_Idev(p,q,k,l);
+        }
+ if (Ge_TrEeTensor!= NULL){
+    DcorKirDEe += (*Ge_TrEeTensor);
+ }
+
+ if (rotationStiffness!= NULL){
+    DcorKirDEe += (*rotationStiffness);
+ }
+
+  //
+  // Get Dho2 -> dJdPhi, Dho2_u -> LHS of dDevPhidDgamma, dDevPhidGamma, Dho2_v -> LHS
+  //
+
+  // Get dMeDphi
+  static STensor43 dMedGN, dMeDphi;
+  STensorOperation::zero(dMedGN);
+  STensorOperation::zero(dMeDphi);
+
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++)
+          for (int p=0; p<3; p++)
+            for (int q=0; q<3; q++)
+                dMedGN(i,j,k,l) += DcorKirDEe(i,j,p,q)*(-_I4(p,q,k,l));
+
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++)
+          for (int p=0; p<3; p++)
+            for (int q=0; q<3; q++)
+                dMeDphi(i,j,k,l) += dMedGN(i,j,p,q)*Gamma*(3.*_Idev(p,q,k,l) + 2.*_b/3 * 1./3 * _I(p,q)*_I(k,l));
+
+  // Get dXdPhi
+  static STensor43 dXdPhi;
+  STensorOperation::zero(dXdPhi);
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++)
+            dXdPhi(i,j,k,l) = pow(kk,1)*Hb*Gamma*(3./Cxdev*_Idev(i,j,k,l) + 2.*_b/(3.*Cxtr) * 1./3 * _I(i,j)*_I(k,l)); // DEBUG pow(kk,2)
+
+  // Get Dho2, Dho2inv
+  static STensor43 Dho2;
+  Dho2 = _I4;
+  Dho2 -= dMeDphi;
+  Dho2 += dXdPhi;
+  STensorOperation::inverseSTensor43(Dho2,Dho2inv);
+
+  // Get Dho2_u, Dho2_u_inv
+  static STensor43 Dho2_u;
+
+  Dho2_u = _I4;
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++){
+          Dho2_u(i,j,k,l) += 3*Gamma*pow(kk,1)*Hb/Cxdev * _I4(i,j,k,l); // DEBUG pow(kk,2)
+          for (int p=0; p<3; p++)
+            for (int q=0; q<3; q++){
+                Dho2_u(i,j,k,l) += 3.*Gamma*(Ge_Tensor(i,j,p,q)*_Idev(p,q,k,l)); // Ge_Tensor(i,j,p,q)*_I4(p,q,k,l) - CHECKERS
+        }
+      }
+  if (Ge_TrEeTensor!= NULL){
+    static STensor43 Ge_TrEeTensor_temp;
+    STensorOperation::zero(Ge_TrEeTensor_temp);
+    Ge_TrEeTensor_temp = (*Ge_TrEeTensor);
+    Ge_TrEeTensor_temp *= (3*Gamma);
+    Dho2_u += Ge_TrEeTensor_temp;
+  }
+  if (rotationStiffness!= NULL){
+	static STensor43 rotationStiffness_Temp;
+	STensorOperation::zero(rotationStiffness_Temp);
+	rotationStiffness_Temp = (*rotationStiffness);
+	rotationStiffness_Temp *= (3*Gamma);
+	Dho2_u += rotationStiffness_Temp;
+  }
+  STensorOperation::inverseSTensor43(Dho2_u,Dho2_u_inv);
+
+  // Get Dho2_v, Dho2_v_inv
+  double Dho2_v = 1. + 2.*_b*Gamma*(Ke + pow(kk,1)*Hb/(3.*Cxtr)); // pow(kk,2) DEBUG
+  Dho2_v_inv = 1./Dho2_v;
+}
+
+void mlawNonLinearTVENonLinearTVP2::getIterated_DPhi(const STensor3& F, const double& T0, const double& T, const IPNonLinearTVP *q0, IPNonLinearTVP *q1,
+                                            double& Gamma, const double& Cxtr, const double& Cxdev,
+                                            const STensor3& Cepr, const STensor3& Eepr,
+                                            const double& trXn, const STensor3& devXn,
+                                            double& Ke, double& Ge, STensor43& Ge_Tensor,
+                                            double& ptilde, STensor3& devPhi,
+                                            STensor3& Phi, STensor3& N, STensor3& expGN, STensor43& dexpAdA,
+                                            STensor43& Dho, STensor43& Dho2inv, STensor43& Dho2_u_inv , double& Dho2_v_inv, STensor3& Fp1, const fullVector<int>& alignedIndex,
+                                            STensor43* Ge_TrEeTensor, STensor43* rotationStiffness) const{
+
+  // This function calculates Phi iteratively.
+    // At every iteration it will calculate Ee, corKir and N
+
+  // EIGEN NEW - Initialise Fe
+  static STensor3 Fpinv;
+  STensor3& Fe = q1->_Fe;
+  STensorOperation::multSTensor3(expGN,q0->_Fp,Fp1);
+  STensorOperation::inverseSTensor3(Fp1,Fpinv);
+  STensorOperation::multSTensor3(F,Fpinv,Fe);
+  // EIGEN NEW - Initialise Fe
+
+  // Initialise GammaN in IP -> for mechSrc later
+  STensor3& GammaN = q1->getRefToGammaN();
+
+  // Initialise Hinv
+  static STensor3 Hinv, Ceinvpr;
+  STensorOperation::inverseSTensor3(expGN,Hinv);
+  STensorOperation::inverseSTensor3(Cepr,Ceinvpr);
+
+  // Initialise Ce, Ceinv
+  static STensor3 Ce, Ceinv; // Temporary Local Variable
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++){
+      Ce(i,j) = 0.;
+      Ceinv(i,j) = 0.;
+      for (int k=0; k<3; k++)
+        for (int l=0; l<3; l++){
+          Ce(i,j) += Hinv(i,k)*Hinv(k,l)*Cepr(l,j);
+          Ceinv(i,j) += Ceinvpr(i,k)*expGN(k,l)*expGN(l,j);
+     }
+   }
+
+  // Initialise Ee
+  static STensor3 Ee;
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      Ee(i,j) = Eepr(i,j) - Gamma*N(i,j);
+
+  // Initialise corKir
+  static STensor3 KS;
+  static STensor43 Bd_stiffnessTerm;
+
+  // NEW EIGEN
+  // double e1, e2, e3; static STensor3 E1, E2, E3; STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3);
+  static STensor3 Ee0_rot;
+  if (_rotationCorrectionScheme == 0 && _rotationCorrectionScheme == 1){
+	  for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++){
+			  Ee0_rot(i,j) = 0.;
+			  for(int k=0; k<3; k++)
+				  for(int l=0; l<3; l++)
+					  Ee0_rot(i,j) += q1->_R(i,k)*q0->_Ee(k,l)*q1->_R(j,l);
+		  }
+  }
+  else if(_rotationCorrectionScheme == 2){
+	  Ee0_rot = q0->_Ee;
+	  // mlawNonLinearTVM::getEe0s2(Ce,Ee,q0->_Ee,Ee0_rot,dEe0sdEe); // Dont do it here
+  }
+  // NEW EIGEN
+
+  if (Ge_TrEeTensor == NULL){
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
+	  }
+	  else{
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,true,alignedIndex,Bd_stiffnessTerm,NULL,rotationStiffness); // NEW EIGEN
+	  }
+  }
+  else{ // TC asymmetry
+	  if (!_useRotationCorrection){
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
+	  }
+	  else{
+		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,true,alignedIndex,Bd_stiffnessTerm,Ge_TrEeTensor,rotationStiffness); // NEW EIGEN
+	  }
+  }
+
+  Ge_Tensor = _I4;
+  Ge_Tensor *= Ge*2; // *2 because the function doesnt do it
+  Ge_Tensor += Bd_stiffnessTerm;
+  KS = q1->_kirchhoff;
+
+  // Get Hb
+  double Hb(0.);
+  if (q1->_ipKinematic != NULL)
+        Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+  double kk = (1./sqrt(1.+2.*q1->_nup*q1->_nup));
+
+  // Initialise backStress
+  static STensor3 devX, devN;
+  double trX, trN;
+  STensorOperation::decomposeDevTr(N,devN,trN);
+  devX = pow(kk,1)*Hb*Gamma*devN + devXn;      // pow(kk,2) DEBUG
+  devX *= 1./Cxdev;
+  trX = (pow(kk,1)*Hb*Gamma*trN + trXn)*1./Cxtr; // pow(kk,2) DEBUG
+  q1->_backsig = devX;
+  q1->_backsig(0,0) += trX/3.;
+  q1->_backsig(1,1) += trX/3.;
+  q1->_backsig(2,2) += trX/3.;
+
+  // Initialise J
+  static STensor3 J;
+  STensorOperation::zero(J);
+  for (int i=0; i<3; i++)
+    for (int j=0; j<3; j++)
+      J(i,j) += Phi(i,j) - KS(i,j) + q1->_backsig(i,j);
+
+  // static STensor3 J0; //debug
+  // J0 = J; //debug
+
+  // Initialise J_tol
+  double J_tol = 0.;
+  J_tol = J.norm0();
+  J_tol/=(_K+_G);
+  // for (int i=0; i<3; i++)
+    // for (int j=0; j<3; j++)
+      // J_tol += abs(J(i,j)) ;
+
+  // Initialise Dho, Dho2, Dho2inv
+  if (Ge_TrEeTensor == NULL){
+    getDho(Gamma,Cepr,Ceinvpr,KS,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,NULL,rotationStiffness);
+  }
+  else{ // TC asymmetry
+    getDho(Gamma,Cepr,Ceinvpr,KS,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Ge_TrEeTensor,rotationStiffness);
+  }
+
+  // Initialise DPhi
+  static STensor3 DPhi;
+
+  // Initialise numerical quantities
+  /*
+  static STensor3 Phi_plus, J_plus, devPhi_plus, N_plus, GammaN_plus, Ee_plus, Ce_plus, KS_plus, MS_plus, expGN_plus, Hinv_plus, devN_plus, devX_plus, Ee0_rot_plus;
+  double pPhi_plus,Ke_plus,Ge_plus, trN_plus, trX_plus;
+  static STensor43 dJdPhi_plus, dJdPhi_plus_inv, dexpAdA_plus, Bd_stiffnessTerm_plus,Ge_Tensor_plus, dJdPhi_plus2, dJdPhi_plus2_inv;
+  static STensor43 Ge_TrEeTensor_plus, rotationStiffness_plus;
+  static IPNonLinearTVP q1_plus(*q0);
+  STensor3& R_plus = q1_plus._R;
+  STensor43& dRdEe_plus = q1_plus._dRdEe;
+  STensor43& dRtdEe_plus = q1_plus._dRtdEe;
+  fullVector<int> alignedIndex_plus(3); alignedIndex_plus(0) = 0; alignedIndex_plus(1) = 1; alignedIndex_plus(2) = 2;*/
+
+  int ite = 0;
+  int maxite = 100;
+
+  double tol = _stressIteratorTol; // 1e-6;
+
+  while (fabs(J_tol) > tol or ite <1){
+
+	  /*
+	  // ##################################################################
+	  // numerical Dho4inv (Jacobian dJ/dPhi)
+	  	  // _perturbationfactor = DPhi_numerical
+
+
+	  for (int i=0; i<3; i++){
+	     for (int j=0; j<3; j++){
+	        Phi_plus = Phi;
+	        Phi_plus(i,j) += 0.5*_perturbationfactor;
+	        Phi_plus(j,i) += 0.5*_perturbationfactor;
+	        STensorOperation::decomposeDevTr(Phi_plus,devPhi_plus,pPhi_plus);
+	        pPhi_plus = Phi_plus.trace()/3;
+	        N_plus = _I;
+	        N_plus *= 2.*_b/3*pPhi_plus;
+	        N_plus += 3*devPhi_plus;
+	        GammaN_plus = N_plus;
+	        GammaN_plus *= Gamma;
+	        STensorOperation::expSTensor3(GammaN_plus,_order,expGN_plus,&dexpAdA_plus);
+	        STensorOperation::inverseSTensor3(expGN_plus,Hinv_plus);
+
+	        // update Ce, Ceinv
+	        for (int ii=0; ii<3; ii++)
+	          for (int jj=0; jj<3; jj++){
+	        	Ce_plus(ii,jj) = 0.;
+	            for (int kk=0; kk<3; kk++)
+	              for (int ll=0; ll<3; ll++)
+	            	Ce_plus(ii,jj) += Hinv_plus(ii,kk)*Hinv_plus(kk,ll)*Cepr(ll,jj);
+	          }
+
+	        Ee_plus = - Gamma*N_plus;
+	        Ee_plus += Eepr;
+	        // bool ok=STensorOperation::logSTensor3(Ce_plus,_order,Ee_plus);
+
+
+      	  q1_plus._Ee0 = q0->_Ee;
+      	  mlawNonLinearTVM::rotationTensor_N_to_Nplus1(q0->_Ee0,q0->_Fp,Fp1,Ce_plus,Ee_plus,q0->_Ee,q1_plus._R,q1_plus._dRdEe,q1_plus._dRtdEe);
+      	  for(int p=0; p<3; p++)
+        	for(int q=0; q<3; q++){
+      	 	  Ee0_rot_plus(p,q) = 0.;
+      	 	  for(int r=0; r<3; r++)
+      	   	    for(int m=0; m<3; m++)
+      	     	  Ee0_rot_plus(p,q) += q1_plus._R(p,r)*q0->_Ee(r,m)*q1_plus._R(q,m);
+        	}
+
+      	  // update corKir
+      	  if (Ge_TrEeTensor == NULL){
+    	  	  if (!_useRotationCorrection){
+    		  	  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,Bd_stiffnessTerm_plus);
+    	  	  }
+    	  	  else{
+    		  	  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce_plus,Ee_plus,Ee0_rot_plus,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,alignedIndex_plus,Bd_stiffnessTerm_plus,NULL,\
+    		  			  	  	  	  	  	  	  	  	  	  	  	  &rotationStiffness_plus); // NEW EIGEN
+    	  	  }
+      	  }
+      	  else{ // TC asymmetry
+    	  	  if (!_useRotationCorrection){
+    		  	  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee_plus,q0->_Ee,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,Bd_stiffnessTerm_plus,&Ge_TrEeTensor_plus);
+    	  	  }
+    	  	  else{
+    		  	  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce_plus,Ee_plus,Ee0_rot_plus,q0,&q1_plus,Ke_plus,Ge_plus,T0,T,true,alignedIndex_plus,Bd_stiffnessTerm_plus,&Ge_TrEeTensor_plus,\
+    		  			  	  	  	  	  	  	  	  	  	  	  	  &rotationStiffness_plus); // NEW EIGEN
+    	  	  }
+      	  }
+
+	        Ge_Tensor_plus = _I4;
+	        Ge_Tensor_plus *= Ge_plus*2; // *2 because the function doesnt do it
+	        Ge_Tensor_plus += Bd_stiffnessTerm_plus;
+	        KS_plus = q1_plus._kirchhoff;
+
+	        // update mandel
+	        // mlawNonLinearTVP::getModifiedMandel(Ce_plus, q0, &q1_plus);
+	        // MS_plus = q1_plus._ModMandel;
+
+	        STensorOperation::decomposeDevTr(N_plus,devN_plus,trN_plus);
+	        devX_plus = pow(kk,1)*Hb*Gamma*devN_plus + devXn;      // pow(kk,2) DEBUG
+	        devX_plus *= 1./Cxdev;
+	        trX_plus = (pow(kk,1)*Hb*Gamma*trN_plus + trXn)*1./Cxtr; // pow(kk,2) DEBUG
+	        q1_plus._backsig = devX_plus;
+	        q1_plus._backsig(0,0) += trX_plus/3.;
+	        q1_plus._backsig(1,1) += trX_plus/3.;
+	        q1_plus._backsig(2,2) += trX_plus/3.;
+
+	        for (int k=0; k<3; k++){
+	          for (int l=0; l<3; l++){
+	            J_plus(k,l) = Phi_plus(k,l) - KS_plus(k,l) + q1_plus._backsig(k,l);
+	            dJdPhi_plus(k,l,i,j) = (J_plus(k,l) - J(k,l))/(_perturbationfactor);
+	          }
+	        }
+	      }
+	    }
+	   STensorOperation::inverseSTensor43(dJdPhi_plus,dJdPhi_plus_inv);
+
+	   // END NUMERICAL
+	   // ##################################################################
+	   */
+
+     // update DPhi
+     for (int i=0; i<3; i++)
+       for (int j=0; j<3; j++){
+         DPhi(i,j) = 0.;
+         for (int k=0; k<3; k++)
+           for (int l=0; l<3; l++){
+             DPhi(i,j) -= Dho2inv(i,j,k,l)*J(k,l);
+           }
+         }
+
+      // update devPhi
+      for (int i=0; i<3; i++){
+        for (int j=0; j<3; j++){
+       		Phi(i,j) += DPhi(i,j);
+       	}
+      }
+
+      // update devPhi, ptilde
+      STensorOperation::decomposeDevTr(Phi,devPhi,ptilde);
+      ptilde = Phi.trace()/3;
+
+      // update N
+      STensorOperation::zero(N);
+      for (int i=0; i<3; i++)
+        for (int j=0; j<3; j++)
+          N(i,j) = 3.*devPhi(i,j) + 2.*_b/3.*ptilde*_I(i,j);
+
+      // update H = exp(GN) = A in dexpAdA; Hinv
+      GammaN = N;
+      GammaN *= Gamma;
+      STensorOperation::expSTensor3(GammaN,_order,expGN,&dexpAdA);
+      STensorOperation::inverseSTensor3(expGN,Hinv);
+
+      // update Ce, Ceinv
+      for (int i=0; i<3; i++)
+        for (int j=0; j<3; j++){
+          Ce(i,j) = 0.;
+          Ceinv(i,j) = 0.;
+          for (int k=0; k<3; k++)
+            for (int l=0; l<3; l++){
+              Ce(i,j) += Hinv(i,k)*Hinv(k,l)*Cepr(l,j);
+              Ceinv(i,j) += Ceinvpr(i,k)*expGN(k,l)*expGN(l,j);
+          }
+        }
+
+      // update Ee
+      STensorOperation::zero(Ee);
+      for (int i=0; i<3; i++)
+        for (int j=0; j<3; j++)
+          Ee(i,j) = Eepr(i,j) - Gamma*N(i,j);
+
+      // EIGEN NEW - update Fe
+      STensorOperation::multSTensor3(expGN,q0->_Fp,Fp1);
+      STensorOperation::inverseSTensor3(Fp1,Fpinv);
+      STensorOperation::multSTensor3(F,Fpinv,Fe);
+
+      // STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3);
+      // NEW EIGEN
+
+      // update corKir
+      if (Ge_TrEeTensor == NULL){
+    	  if (!_useRotationCorrection){
+    		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
+    	  }
+    	  else{
+    		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,true,alignedIndex,Bd_stiffnessTerm,NULL,rotationStiffness); // NEW EIGEN
+    	  }
+      }
+      else{ // TC asymmetry
+    	  if (!_useRotationCorrection){
+    		  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm,Ge_TrEeTensor);
+    	  }
+    	  else{
+    		  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,Ee0_rot,q0,q1,Ke,Ge,T0,T,true,alignedIndex,Bd_stiffnessTerm,Ge_TrEeTensor,rotationStiffness); // NEW EIGEN
+    	  }
+      }
+
+      Ge_Tensor = _I4;
+      Ge_Tensor *= Ge*2; // *2 because the function doesnt do it
+      Ge_Tensor += Bd_stiffnessTerm;
+      KS = q1->_kirchhoff;
+
+      // update backStress
+      STensorOperation::decomposeDevTr(N,devN,trN);
+      devX = pow(kk,1)*Hb*Gamma*devN + devXn;           // pow(kk,2) DEBUG
+      devX *= 1./Cxdev;
+      trX = (pow(kk,1)*Hb*Gamma*trN + trXn)*1./Cxtr;    // pow(kk,2) DEBUG
+      q1->_backsig = devX;
+      q1->_backsig(0,0) += trX/3.;
+      q1->_backsig(1,1) += trX/3.;
+      q1->_backsig(2,2) += trX/3.;
+
+      // update J
+      STensorOperation::zero(J);
+      for (int i=0; i<3; i++)
+        for (int j=0; j<3; j++)
+          J(i,j) += ( Phi(i,j) - KS(i,j) + q1->_backsig(i,j) );
+
+      // update Dho2, Dho2inv
+      if (Ge_TrEeTensor == NULL){
+        getDho(Gamma,Cepr,Ceinvpr,KS,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,NULL,rotationStiffness);
+      }
+      else{ // TC asymmetry
+        getDho(Gamma,Cepr,Ceinvpr,KS,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Ge_TrEeTensor,rotationStiffness);
+      }
+
+      // update J_tol
+      /*
+      J_tol = 0.;
+      for (int i=0; i<3; i++){
+        for (int j=0; j<3; j++){
+          J_tol += abs(J(i,j));
+        }
+      }*/
+
+      // debug
+	  /*
+      for (int i=0; i<3; i++)
+	     for (int j=0; j<3; j++)
+	        for (int k=0; k<3; k++)
+	          for (int l=0; l<3; l++)
+	            // dJdPhi_plus2(k,l,i,j) = (J(k,l) - J0(k,l))/(_perturbationfactor);
+
+	   // STensorOperation::inverseSTensor43(dJdPhi_plus2,dJdPhi_plus2_inv);
+	   // J0 = J;
+
+	   for (int i=0; i<3; i++)
+		 for (int j=0; j<3; j++)
+			for (int k=0; k<3; k++)
+		        for (int l=0; l<3; l++){
+		        	// Msg::Error(" Dho2inv(%d,%d,%d,%d)=%d",i,j,k,l,Dho2inv(i,j,k,l));
+		        	// Msg::Error(" dJdPhi_plus_inv(%d,%d,%d,%d)=%d",i,j,k,l,dJdPhi_plus_inv(i,j,k,l));
+		        }*/
+
+      J_tol = J.norm0();
+      J_tol/=(_K+_G);
+      // J_tol/=(1.e+10);
+
+      ite++;
+
+      // if (ite> maxite-5)
+      // Msg::Info("ite = %d, tol %e, J_tol = %e, Gamma = %e",ite,tol,J_tol,Gamma);
+
+      if (fabs(J_tol) <_tol) break;
+
+      if(ite > maxite){
+    	  Msg::Error("No convergence for iterated Phi mlawNonLinearTVENonLinearTVP2 nonAssociatedFlow iter = %d, J_tol = %e!!",ite,J_tol);
+    	  // Msg::Error("No convergence for iterated Phi mlawNonLinearTVENonLinearTVP2 nonAssociatedFlow iter = %d, e1 = %e, e2 = %e, e3 = %e !!",ite,e1,e2,e3);
+    	  // Msg::Error("Exiting the function Iterated Phi!!");
+    	  // Phi(0,0) = Phi(1,1) = Phi(2,2) = sqrt(-1.);
+    	  // Gamma *= 0.1;
+       return;
+       }
+     } // while
+
+}
+
+/*
+void mlawNonLinearTVENonLinearTVP2::TEST_predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(
+                                        const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double T0, const double T,
+                                        const STensor3& Fepr, const STensor3& Cepr,
+                                        double& ptilde, STensor3& devPhi, double& Gamma, double& Dgamma, double& A, double& f, STensor3& Me, STensor3& P) const{
+
+  // compute elastic predictor
+  static STensor3 Fp1, Fpinv, Fe, Ce, Ee; // = q1->_Fp;
+  const STensor3& Fp0 = q0->_Fp;
+
+  Fp1 = Fp0;
+  STensorOperation::inverseSTensor3(Fp1,Fpinv);
+
+  static STensor3 invFp0; // plastic predictor
+  invFp0 = Fpinv;
+
+  // Update the Properties to the current temperature (see below which ones are being used)
+  double CpT, DCpDT; getCp(CpT,T,&DCpDT);
+
+  // Get hardening parameters
+  this->mlawNonLinearTVP::hardening(q0,q1,T);
+  static fullVector<double> a(3), Da(3); // yield coefficients and derivatives in respect to plastic deformation
+  this->mlawNonLinearTVP::getYieldCoefficients(q1,a);
+  //a.print("a init");
+
+  double Hb(0.), dHb(0.), ddHb(0.), dHbdT(0.), ddHbdgammadT(0.), ddHbddT(0.);
+  if (q1->_ipKinematic != NULL){
+    Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+    dHb = q1->_ipKinematic->getDR(); // kinematic hardening parameter derivative (dHb/dgamma)
+    dHbdT = q1->_ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file //NEW
+    ddHbddT = q1->_ipKinematic->getDDRDTT();
+    ddHbdgammadT = q1->_ipKinematic->getDDRDT();
+  }
+
+  double eta(0.),Deta(0.),DetaDT(0.);
+  if (_viscosity != NULL)
+    _viscosity->get(q1->_epspbarre,T,eta,Deta,DetaDT);
+
+  // Get Cepr, Ceinvpr
+  static STensor3 Eepr, Ceinvpr;
+  Ce = Cepr;
+  STensorOperation::inverseSTensor3(Cepr,Ceinvpr);
+
+  Fe = Fepr;
+
+  // Predictor - TVE
+  static STensor43 DlnDCepr, DlnDCe;
+  static STensor63 DDlnDDCe;
+  static STensor3 expGN, GammaN;
+  static STensor43 dexpAdA; // estimation of dexpA/dA
+  expGN = _I; // if Gamma = 0, expGN = _I
+  dexpAdA = _I4;
+
+  STensorOperation::logSTensor3(Ce,_order,Ee,&DlnDCepr,&DDlnDDCe);
+  Ee *= 0.5;
+  Eepr = Ee;
+  DlnDCe = DlnDCepr;
+
+  // update A, B -> ExtraBranch calculations are within
+  double Ke(0.), Ge(0.), Ke_pr(0.), Ge_pr(0.);
+  static STensor43 Ge_Tensor_pr, Ge_Tensor, Bd_stiffnessTerm;
+  STensorOperation::zero(Ge_Tensor_pr);
+  STensorOperation::zero(Ge_Tensor);
+  mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(Ce,Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,true,Bd_stiffnessTerm);
+  Ge_Tensor = _I4;
+  Ge_Tensor *= Ge*2; // Because the function does not do it
+  Ge_Tensor += Bd_stiffnessTerm;
+
+  // Keep the predictor values of Ke and Ge for tangents later
+  Ke_pr = Ke;
+  Ge_pr = Ge;
+  Ge_Tensor_pr = _I4;
+  Ge_Tensor_pr *= Ge_pr*2; // Because the function does not do it
+  Ge_Tensor_pr += Bd_stiffnessTerm;
+
+  // get predictor - dKeprDT
+  mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T);
+  const STensor3& dKeprDT = q1->_DcorKirDT;
+
+  // Initialise Dho
+  static STensor43 Dho, Dho2inv, Dho2_u_inv;  // This will be the final important tensor.
+  double Dho2_v_inv(0.);
+
+  // Get Mepr
+  static STensor3 Mepr, Kepr;  // Ke is corKir
+  mlawNonLinearTVP::getModifiedMandel(Ce,q0,q1);
+  Me = q1->_ModMandel;
+  Mepr = Me;
+  Kepr = q1->_kirchhoff;
+
+  // Get Xn; Initialise X
+  static STensor3 devXn, devX;
+  static double trXn, pXn, eXn, trX;
+  STensorOperation::decomposeDevTr(q0->_backsig,devXn,trXn); // needed for chaboche model
+  pXn = 1./3.*trXn;  // 1st invariant of Xn
+  eXn = sqrt(1.5*devXn.dotprod()); // J2 invariant of Xn
+
+    // Initialise Phipr
+  static STensor3 PhiPr, Phi;
+  PhiPr = q1->_ModMandel;
+  PhiPr -= q1->_backsig;
+  Phi = PhiPr;
+
+  static STensor3 devPhipr; // effective dev stress predictor
+  static double ptildepr;
+  STensorOperation::decomposeDevTr(PhiPr,devPhipr,ptildepr);
+  ptildepr/= 3.;
+
+  // Initialise Normal
+  static STensor3 devN; // dev part of yield normal
+  double trN = 0.; // trace part of yield normal
+  static STensor3 N; // yield normal
+  STensorOperation::zero(devN);
+  STensorOperation::zero(N);
+
+  // Get plastic poisson ratio
+  q1->_nup = (9.-2.*_b)/(18.+2.*_b);
+  double kk = (1./sqrt(1.+2.*q1->_nup*q1->_nup));
+
+  // Initialise variables
+  Gamma = 0.;
+  double dDgammaDGamma = 0.;
+  static fullVector<double> m(2);
+  mlawNonLinearTVP::getChabocheCoeffs(m,0,q1);
+
+  double DfDGamma(0.), dfdDgamma(0.), dfdGamma(0.), dAdDgamma(0.), dAdGamma(0.);
+
+  // Initialise Cx
+  double Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;        // pow(kk,2) DEBUG
+  double Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+  double dCxdevdDgamma(0.), dCxtrdDgamma(0.);
+  if (Hb>0.){
+    Cxdev -= m(0)*dHb*Dgamma/Hb + 1./Hb * dHbdT * (T-T0);
+    Cxtr -= m(0)*dHb*Dgamma/Hb + 1./Hb * dHbdT * (T-T0);
+  }
+
+  // Initialise ptilde and devPhi
+  ptilde = ptildepr;
+  devPhi = devPhipr;
+
+  // Initialise the rest
+  getDho(Gamma,Cepr,Ceinvpr,Kepr,Ke,Ge_Tensor,kk,Hb,Cxtr,Cxdev,expGN,dexpAdA,Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv);
+
+  double PhiEqpr2 = 1.5*devPhi.dotprod();
+  double PhiEqpr = sqrt(PhiEqpr2);      // -> second invariant
+  double PhiEq = PhiEqpr;   // current effective deviator
+
+  // Get f and A
+  f = a(2)*pow(PhiEq,_n) - (a(1)*ptilde+a(0));
+  A = sqrt(6.*PhiEq*PhiEq+4.*_b*_b/3.*ptilde*ptilde);
+
+  // Initialise g
+  double dgdDgamma(0.), dgdGamma(0.);
+  double g = Dgamma - kk*Gamma*A;
+
+  // NR Loop - Gamma and Dgamma
+    if (q1->dissipationIsBlocked()){
+        q1->getRefToDissipationActive() = false;
+    }
+    else{
+        if (f>_tol){
+            q1->getRefToDissipationActive() = true;
+
+            // plasticity
+            int ite = 0;
+            int maxite = 100; // maximal number of iters
+            // Msg::Error("plasticity occurs f = %e",f);
+            //double f0 = fabs(f);
+
+            while (fabs(f) >_tol or ite <1){
+
+                // Viscosity term
+                double etaOverDt = eta/this->getTimeStep();
+
+                // Get dCxdevdDgamma, dCxtrdDgamma
+                dCxdevdDgamma = 0.; dCxtrdDgamma = 0.;
+                if (Hb>0.){
+                    dCxdevdDgamma = -m(0)*1./Hb*dHb - m(0)*Dgamma*(-1./pow(Hb,2.)*pow(dHb,2.) + 1./Hb*ddHb) - (T-T0)*(-1./pow(Hb,2.)*dHb*dHbdT + 1./Hb*ddHbdgammadT);
+                    dCxtrdDgamma = dCxdevdDgamma;
+                }
+                dCxdevdDgamma += 3.*m(1)*pow(kk,1)*dHb;        // pow(kk,2) DEBUG
+                dCxtrdDgamma += (2.*_b/3.)*m(1)*pow(kk,1)*dHb; // pow(kk,2) DEBUG
+
+                // Get Hp = dPhiPdDgamma, dPhiPdGamma
+                double Hp =  2*_b*pow(kk,1)*Gamma/3.*ptilde*( Hb/pow(Cxtr,2)*dCxtrdDgamma - 1./Cxtr*dHb ) * Dho2_v_inv; // pow(kk,2) DEBUG
+                double dPhiPdGamma = -2*_b*ptilde*(Ke + pow(kk,1)*Hb/(3.*Cxtr)) * Dho2_v_inv; // pow(kk,2) DEBUG
+
+                // Get He = dPhiEdGamma
+                // Get DdevPhidGamma
+                static STensor3 DdevPhidDgamma, DdevPhidDgamma_RHS;
+                static STensor3 DdevPhidGamma, DdevPhidGamma_RHS;
+                STensorOperation::zero(DdevPhidDgamma); STensorOperation::zero(DdevPhidGamma);
+                STensorOperation::zero(DdevPhidDgamma_RHS); STensorOperation::zero(DdevPhidGamma_RHS);
+
+                for (int i=0; i<3; i++)
+                    for (int j=0; j<3; j++){
+                        DdevPhidDgamma_RHS(i,j) += ( 0.5*2*_b*Gamma*Ke*Hp*_I(i,j) + 3*Gamma*pow(kk,1)*( Hb/pow(Cxdev,2.)*dCxdevdDgamma - dHb/Cxdev ) * devPhi(i,j) ); // pow(kk,2) DEBUG
+                        DdevPhidGamma_RHS(i,j) += ( -0.5*2*_b*Ke*(-ptilde-Gamma*dPhiPdGamma)*_I(i,j) - 3*pow(kk,1)*Hb/Cxdev*devPhi(i,j) ); // pow(kk,2) DEBUG
+                        for (int k=0; k<3; k++)
+                            for (int l=0; l<3; l++){
+                                DdevPhidDgamma_RHS(i,j) += 0.5* 2.*_b/3.*Gamma*Dho(i,j,k,l)*_I(k,l)*Hp;
+                                DdevPhidGamma_RHS(i,j) += 0.5* ( -3.*Ge_Tensor(i,j,k,l)*devPhi(k,l) + 2.*_b/3.*Gamma*Dho(i,j,k,l)*_I(k,l)*dPhiPdGamma );
+                                DdevPhidGamma_RHS(i,j) += 0.5*Dho(i,j,k,l)*N(k,l); // DEBUG
+                            }
+                    }
+                for (int i=0; i<3; i++)
+                    for (int j=0; j<3; j++)
+                        for (int k=0; k<3; k++)
+                            for (int l=0; l<3; l++){
+                                DdevPhidDgamma(i,j) += Dho2_u_inv(i,j,k,l)*DdevPhidDgamma_RHS(k,l);
+                                DdevPhidGamma(i,j) += Dho2_u_inv(i,j,k,l)*DdevPhidGamma_RHS(k,l);
+                            }
+
+                double Stemp1 = STensorOperation::doubledot(devPhi,DdevPhidDgamma);
+                double Stemp2 = STensorOperation::doubledot(devPhi,DdevPhidGamma);
+                double He = 1.5*Stemp1/PhiEq;
+                double dPhiEdGamma = 1.5*Stemp2/PhiEq;
+
+
+                // dAdGamma and dDgammaDGamma
+                dAdDgamma = (12.*PhiEq*He + 8.*_b*_b*ptilde*Hp/3.)/(2.*A);
+                dAdGamma = (12.*PhiEq*dPhiEdGamma + 8.*_b*_b*ptilde*dPhiPdGamma/3.)/(2.*A);
+
+                dDgammaDGamma = pow(kk,1)*(A+Gamma*dAdGamma);  // mistake in the paper (VD 2016) // pow(kk,2) DEBUG
+
+                this->getYieldCoefficientDerivatives(q1,q1->_nup,Da);
+
+                dfdDgamma = Da(2)*pow(PhiEq,_n) - Da(1)*ptilde -Da(0);
+                dfdDgamma += a(2)*_n*pow(PhiEq,(_n-1.))*He - a(1)*Hp;
+
+                if (Gamma>0 and etaOverDt>0)
+                    dfdDgamma -= _p*pow(etaOverDt,_p-1.)*Deta/this->getTimeStep()*pow(Gamma,_p);  // THIS term is absent in the paper!!
+
+                dfdGamma = _n*a(2)*pow(PhiEq,(_n-1.))*dPhiEdGamma - a(1)*dPhiPdGamma;
+                if (Gamma>0 and etaOverDt>0)
+                    dfdGamma -= pow(etaOverDt,_p)*_p*pow(Gamma,(_p-1.));
+
+                DfDGamma = dfdDgamma*dDgammaDGamma + dfdGamma;
+
+                dgdDgamma = 1. - kk*Gamma*dAdDgamma;
+                dgdGamma = - dDgammaDGamma;
+
+                double dGamma = (-f + dfdDgamma*g/dgdDgamma)/(-dfdDgamma*dgdGamma/dgdDgamma + dfdGamma); // NR
+                double dDgamma = -(g+dgdGamma*dGamma)/dgdDgamma; // NR
+
+                if (Gamma + dGamma <=0.){
+                    Gamma /= 2.;                // NR
+                }
+                else
+                    Gamma += dGamma;
+
+                // Dgammma_test += dDgamma;
+                if (Dgamma + dDgamma <=0.){
+                    Dgamma /= 2.;
+                }
+                else
+                    Dgamma += dDgamma;
+
+                //Msg::Error("Gamma = %e",Gamma);
+                //Msg::Error("Dgamma = %e",Dgamma);
+
+
+                // UPDATE FOR NEXT ITERATION
+
+                // Update gamma and all Hardening moduli
+                mlawNonLinearTVP::updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                mlawNonLinearTVP::hardening(q0,q1,T);
+                mlawNonLinearTVP::getYieldCoefficients(q1,a);
+                if (q1->_ipKinematic != NULL){
+                    Hb = q1->_ipKinematic->getR(); // kinematic hardening parameter
+                    dHb = q1->_ipKinematic->getDR(); // kinematic hardening parameter derivative (dHb/dgamma ??)
+                    dHbdT = q1->_ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file //NEW
+                    ddHbddT = q1->_ipKinematic->getDDRDTT();
+                    ddHbdgammadT = q1->_ipKinematic->getDDRDT();
+                }
+                //a.print("a update");
+
+
+                // Update Cx
+                Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+                Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb; // pow(kk,2) DEBUG
+                if (Hb>0.){
+                    Cxdev -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                    Cxtr -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                }
+
+                // Update Phi
+                getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                                Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1);
+                PhiEq = sqrt(1.5*devPhi.dotprod());
+
+                // Update A
+                A = sqrt(6.*PhiEq*PhiEq+4.*_b*_b/3.*ptilde*ptilde);
+
+
+                // Dgamma = pow(kk,1)*Gamma*A;  // pow(kk,2) DEBUG
+                // updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                // hardening(q0,q1,T);
+                // getYieldCoefficients(q1,a);
+
+                // Update f, g
+                f = a(2)*pow(PhiEq,_n) - (a(1)*ptilde+a(0));
+                double viscoTerm = etaOverDt*Gamma;
+                if (Gamma>0. and etaOverDt>0.) f-= pow(viscoTerm,_p);
+
+                g = Dgamma - kk*Gamma*A;
+
+                ite++;
+                // if (ite> maxite-5)
+                // Msg::Error("it = %d, DfDGamma = %e error = %e dGamma = %e, Gamma = %e",ite,DfDGamma,f,dGamma,Gamma);
+
+                if (fabs(f) <_tol) break;
+
+                if(ite > maxite){
+                    Msg::Error("No convergence for plastic correction in mlawNonLinearTVP nonAssociatedFlow Maxwell iter = %d, f = %e!!",ite,f);
+                    P(0,0) = P(1,1) = P(2,2) = sqrt(-1.);
+                    return;
+                }
+
+            } // while
+
+            q1->_DgammaDt = Dgamma/this->getTimeStep();
+
+            // Correct Cx
+            Cxdev = 1. + 3.*m(1)*pow(kk,1)*Hb;  // pow(kk,2) DEBUG
+            Cxtr = 1. + 2.*_b/3. *m(1)*pow(kk,1)*Hb; // pow(kk,2) DEBUG
+            if (Hb>0.){
+                Cxdev -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+                Cxtr -= m(0)*dHb*Dgamma/Hb - 1./Hb * dHbdT * (T-T0);
+            }
+
+            // Correct Phi
+            getIterated_DPhi(F,T0,T,q0,q1,Gamma,Cxtr,Cxdev,Cepr,Eepr,trXn,devXn,Ke,Ge,Ge_Tensor,ptilde,devPhi,Phi,N,expGN,dexpAdA,
+                                Dho,Dho2inv,Dho2_u_inv,Dho2_v_inv,Fp1);
+            PhiEq = sqrt(1.5*devPhi.dotprod());
+
+            // Correct Normal, H = expGN
+            STensorOperation::decomposeDevTr(N,devN,trN);
+
+            // Get GammaN for mechSrcTVP
+            STensorOperation::zero(GammaN);
+            GammaN = N;
+            GammaN *= Gamma;
+            q1->_GammaN = GammaN;
+
+            // Correct plastic deformation tensor
+            STensorOperation::multSTensor3(expGN,Fp0,Fp1);
+
+            // Correct IP gamma
+            updateEqPlasticDeformation(q1,q0,q1->_nup,Dgamma);
+                // Msg::Info("setting: gamma=%e ",q1->_epspbarre);
+
+            // Correct elastic deformation tensor, corotational stress
+            STensorOperation::inverseSTensor3(Fp1,Fpinv);
+            STensorOperation::multSTensor3(F,Fpinv,Fe);
+            STensorOperation::multSTensor3FirstTranspose(Fe,Fe,Ce);
+            STensorOperation::logSTensor3(Ce,_order,Ee,&DlnDCe,&DDlnDDCe);
+            Ee *= 0.5;
+
+        } // 2nd if
+        else{
+            q1->getRefToDissipationActive() = false;
+        }
+    } // 1st if
+
+    const STensor3& KS = q1->_kirchhoff;
+    mlawNonLinearTVP::getModifiedMandel(Ce, q0, q1); // update Mandel
+
+    const STensor3& MS = q1->_ModMandel;
+    Me = MS;
+    // second Piola Kirchhoff stress
+    static STensor3 S, Ceinv;
+    STensorOperation::inverseSTensor3(Ce,Ceinv);
+    STensorOperation::multSTensor3(Ceinv,q1->_ModMandel,S);
+
+    // first PK
+    for(int i=0; i<3; i++)
+        for(int j=0; j<3; j++){
+            P(i,j) = 0.;
+            for(int k=0; k<3; k++)
+                for(int l=0; l<3; l++)
+                    P(i,j) += Fe(i,k)*S(k,l)*Fpinv(j,l);
+        }
+}*/
+
+/*
+        //
+        // NUMERICAL phi ders wrt gamma, Gamma
+
+        double dPhiPdGamma_plus, dPhiPdDgamma_plus;
+        static STensor3 DdevPhidDgamma_plus, DdevPhidGamma_plus;
+        double Gamma_plus = Gamma + _perturbationfactor;
+        double Dgamma_plus = Dgamma; // + _perturbationfactor;
+
+        static IPNonLinearTVP qPlus1(*q0);
+
+
+        // Numerical update hardening stuff
+
+        static fullVector<double> a_plus(3), Da_plus(3);
+        updateEqPlasticDeformation(&qPlus1,q0,q1->_nup,Dgamma_plus);
+        hardening(q0,&qPlus1,T);
+        getYieldCoefficients(&qPlus1,a_plus);
+
+        double Hb_plus(0.), dHb_plus(0.), ddHb_plus(0.), dHbdT_plus(0.), ddHbdgammadT_plus(0.), ddHbddT_plus(0.);
+        if (qPlus1._ipKinematic != NULL){
+            Hb_plus = qPlus1._ipKinematic->getDR(); // kinematic hardening parameter
+            dHb_plus = qPlus1._ipKinematic->getDDR(); // kinematic hardening parameter derivative (dHb/dgamma)
+            dHbdT_plus = Hb_plus * qPlus1._ipKinematic->getDRDT();  // make sure to normalise DRDT while defining in python file //NEW
+            // ddHbddT_plus = Hb_plus * qPlus1._ipKinematic->getDDRDDT();
+        }
+
+        double eta_plus(0.),Deta_plus(0.),DetaDT_plus(0.);
+        if (_viscosity != NULL)
+            _viscosity->get(qPlus1._epspbarre,T,eta_plus,Deta_plus,DetaDT_plus);
+
+        // Numerical Update Cx, u, v
+        double Cxdev_plus, Cxtr_plus, u_plus, v_plus, Gt_plus, Kt_plus;
+        double ptilde_plus, Dho4_v_inv_plus, DsigV_dTrEe_plus;
+        static STensor3 devPhi_plus, Phi_plus, N_plus, expGN_plus, sigExtra_plus;
+        static STensor43 dexpAdA_plus, Dho3_plus, Dho4inv_plus, Dho4_u_inv_plus;
+        static STensor43 DsigD_dDevEe_plus;
+
+        expGN_plus = _I; dexpAdA_plus = _I4;
+
+        Cxdev_plus = 1. + 3*m(1)*pow(kk,1)*Hb_plus;  // pow(kk,2) DEBUG
+        Cxtr_plus = 1. + 2*_b/3 *m(1)*pow(kk,1)*Hb_plus; // pow(kk,2) DEBUG
+        if (Hb_plus>0.){
+          Cxdev_plus -= m(0)*dHb_plus*Dgamma_plus/Hb_plus - 1/Hb_plus * dHbdT_plus * (T-T0);
+          Cxtr_plus -= m(0)*dHb_plus*Dgamma_plus/Hb_plus - 1/Hb_plus * dHbdT_plus * (T-T0);
+        }
+        Gt_plus = Ge + pow(kk,1) * Hb_plus/(2*Cxdev_plus); // pow(kk,2) DEBUG
+        Kt_plus = Ke + pow(kk,1) * Hb_plus/(3*Cxtr_plus); // pow(kk,2) DEBUG
+        u_plus = 1.+6.*Gt_plus*Gamma_plus;
+        v_plus = 1.+2.*_b*Kt_plus*Gamma_plus;
+
+        // Inititalise phi
+        ptilde_plus = ptilde;
+        devPhi_plus = devPhi;
+
+        // Numerical Update Phi
+        getIterated_DPhi(T,q0,&qPlus1,u_plus,v_plus,Gamma_plus,Cxtr_plus,Cxdev_plus,PhiPr,trXn,devXn,Cepr,Eepr,Kepr,ptilde_plus,devPhi_plus,Phi_plus,
+                            N_plus,expGN_plus,dexpAdA_plus,
+                            Dho3_plus,Dho4inv_plus,Dho4_u_inv_plus,Dho4_v_inv_plus,
+                            sigExtra_pr,sigExtra_plus,DsigV_dTrEe_plus,DsigD_dDevEe_plus);
+
+        dPhiPdGamma_plus = (ptilde_plus-ptilde)/_perturbationfactor;
+        dPhiPdDgamma_plus = (ptilde_plus-ptilde)/_perturbationfactor;
+
+
+        DdevPhidGamma_plus = devPhi_plus;
+        DdevPhidGamma_plus -= devPhi;
+        DdevPhidGamma_plus *= 1/_perturbationfactor;
+
+        DdevPhidDgamma_plus = devPhi_plus;
+        DdevPhidDgamma_plus -= devPhi;
+        DdevPhidDgamma_plus *= 1/_perturbationfactor;
+
+        /*for (int i=0; i<3; i++)
+          for (int j=0; j<3; j++)
+            for (int k=0; k<3; k++)
+              for (int l=0; l<3; l++){
+                STensorOperation::inverseSTensor3(H_plus,Hinv_plus);
+                STensorOperation::multSTensor3(H_plus,H_plus,HH_plus);
+                STensorOperation::multSTensor3(Hinv_plus,Hinv_plus,HinvHinv_plus);
+                dHdH_plus(k,l,i,j) = (H_plus(k,l) - expGN(k,l))/(_perturbationfactor);
+                dHinvdH_plus(k,l,i,j) = (Hinv_plus(k,l) - Hinv(k,l))/(_perturbationfactor);
+                dHHdH_plus(k,l,i,j) = (HH_plus(k,l) - HH(k,l))/(_perturbationfactor);
+                dHinvHinvdH_plus(k,l,i,j) = (HinvHinv_plus(k,l) - HinvHinv(k,l))/(_perturbationfactor);
+           }
+*/
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.h b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.h
new file mode 100644
index 0000000000000000000000000000000000000000..11556db260dea8e631d9877757cd9b5ffbb33667
--- /dev/null
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVENonLinearTVP2.h
@@ -0,0 +1,201 @@
+//
+// C++ Interface: Material Law
+//
+// Description: Non-Linear Thermo-Visco-Mechanics (Thermo-ViscoElasto-ViscoPlasto Law) with Non-Local Damage Interface (soon....?)
+//
+// Author: <Ujwal Kishore J - FLE_Knight>, (C) 2024
+//
+// Copyright: See COPYING file that comes with this distribution
+//
+//
+#ifndef MLAWNONLINEARTVENONLINEARTVP2_H_
+#define MLAWNONLINEARTVENONLINEARTVP2_H_
+
+#include "ipNonLinearTVP.h"
+#include "mlawNonLinearTVP.h"
+
+class mlawNonLinearTVENonLinearTVP2 : public mlawNonLinearTVP{
+
+    protected:
+		double _stressIteratorTol;
+
+    protected:
+		virtual double freeEnergyPlasticity(const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double& T0, const double& T) const;
+
+		virtual void freeEnergyPlasticityDerivatives(const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double& T0, const double& T, STensor3& dPsy_TVPdF, double& dPsy_TVPdT) const;
+
+        virtual void getIterated_DPhi(const STensor3& F, const double& T0, const double& T, const IPNonLinearTVP *q0, IPNonLinearTVP *q1,
+                                            double& Gamma, const double& Cxtr, const double& Cxdev,
+                                            const STensor3& Cepr, const STensor3& Eepr,
+                                            const double& trXn, const STensor3& devXn,
+                                            double& Ke, double& Ge, STensor43& Ge_Tensor,
+                                            double& ptilde, STensor3& devPhi,
+                                            STensor3& Phi, STensor3& N, STensor3& expGN, STensor43& dexpAdA,
+                                            STensor43& Dho, STensor43& Dho2inv, STensor43& Dho2_u_inv, double& Dho2_v_inv, STensor3& Fp1, const fullVector<int>& alignedIndex,
+                                            STensor43* Ge_TrEeTensor = NULL, STensor43* rotationStiffness = NULL) const;
+
+        virtual void getDho(const double& Gamma, const STensor3& Cepr, const STensor3& Ceinvpr, const STensor3& KS,
+                                  const double& Ke, const STensor43& Ge_Tensor,
+                                  const double& kk, const double& Hb, const double& Cxtr, const double& Cxdev,
+                                  const STensor3& expGN, const STensor43& dexpAdA,
+                                  STensor43& Dho, STensor43& Dho2inv, STensor43& Dho2_u_inv, double& Dho2_v_inv, STensor43* Ge_TrEeTensor = NULL, STensor43* rotationStiffness = NULL) const;
+
+        virtual void get_G1_Tensor(const STensor3& Cepr, const STensor3& expGN, const STensor43& DCeinvprDCepr, const STensor3& KS, STensor43& G1) const;
+
+        virtual void TEST_predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(
+                                        const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0, IPNonLinearTVP *q1, const double T0, const double T,
+                                        const STensor3& Fepr, const STensor3& Cepr,
+                                        double& ptilde, STensor3& devPhi, double& Gamma, double& Dgamma, double& A, double& f, STensor3& Me, STensor3& P) const{};
+
+        virtual void predictorCorrector_TVP_nonAssociatedFlow_nonLinearTVE(const STensor3& F0, const STensor3& F, const IPNonLinearTVP *q0_, IPNonLinearTVP *q1,
+                            STensor3&P, const bool stiff, STensor43& Tangent,  STensor43& dFedF, STensor43& dFpdF, STensor3& dFedT, STensor3& dFpdT,
+                            const double T0, const double T1,
+                            const SVector3 &gradT0,                 // previous temperature gradient
+                            const SVector3 &gradT,                  // temperature gradient
+                                  SVector3 &fluxT,                  // temperature flux
+                                  STensor3 &dPdT,                   // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT,           // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF,              // thermal-mechanical coupling
+                                  double &thermalSource,            // - Cp*dTdt
+                                  double &dthermalSourcedT,         // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &mechanicalSource,         // mechanical source--> convert to heat
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF) const;
+
+
+        virtual void predictorCorrector_ThermoViscoPlastic(
+                            const STensor3& F0,         // initial deformation gradient (input @ time n)
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                  STensor3& P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPNonLinearTVP *q0,       // array of initial internal variable
+                                  IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                            const double& T0, // previous temperature
+                            const double& T, // temperature
+                            const SVector3 &gradT0, // previous temeprature gradient
+                            const SVector3 &gradT, // temeprature gradient
+                                  SVector3 &fluxT, // temperature flux)
+                                  double &thermalSource,
+                                  double &mechanicalSource,
+                                  STensor43* elasticTangent) const;
+
+        virtual void predictorCorrector_ThermoViscoPlastic(
+                            const STensor3& F0,         // initial deformation gradient (input @ time n)
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                  STensor3& P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPNonLinearTVP *q0,       // array of initial internal variable
+                                  IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                                  STensor43 &Tangent,         // mechanical tangents (output)
+                                  STensor43 &dFpdF, // plastic tangent
+                                  STensor3 &dFpdT, // plastic tangent
+                                  STensor43 &dFedF, // elastic tangent
+                                  STensor3 &dFedT, // elastic tangent
+                            const double& T0, // previous temperature
+                            const double& T, // temperature
+                            const SVector3 &gradT0, // previoustemeprature gradient
+                            const SVector3 &gradT, // temeprature gradient
+                                  SVector3 &fluxT, // temperature flux
+                                  STensor3 &dPdT, // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT, // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF, // thermal-mechanical coupling
+                                  double &thermalSource,   // - cp*dTdt
+                                  double &dthermalSourcedT, // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &mechanicalSource, // mechanical source--> convert to heat
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF,
+                            const bool stiff,
+                                  STensor43* elasticTangent) const; // tangent is used by pointer, if NULL->no compute
+
+        virtual void tangent_full_perturbation( // compute tangent by perturbation
+                            const STensor3& F0,         // initial deformation gradient (input @ time n)
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                                  STensor3& P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPNonLinearTVP *q0,       // array of initial internal variable
+                                  IPNonLinearTVP *q1,             // updated array of internal variable (in ipvcur on output),
+                            const double& T0, // previous temperature
+                            const double& T, // temperature
+                            const SVector3 &gradT0, // previous temeprature gradient
+                            const SVector3 &gradT, // temeprature gradient
+                                  SVector3 &fluxT, // temperature flux)
+                                  double &thermalSource,
+                                  double &mechanicalSource,
+                                  STensor43 &Tangent,         // mechanical tangents (output)
+                                  STensor43 &dFpdF, // plastic tangent
+                                  STensor3 &dFpdT, // plastic tangent
+                                  STensor43 &dFedF, // elastic tangent
+                                  STensor3 &dFedT, // elastic tangent
+                                  STensor3 &dPdT, // mechanical-thermal coupling
+                                  STensor3 &dfluxTdgradT, // thermal tengent
+                                  SVector3 &dfluxTdT,
+                                  STensor33 &dfluxTdF, // thermal-mechanical coupling
+                                  double &dthermalSourcedT, // thermal source
+                                  STensor3 &dthermalSourcedF,
+                                  double &dmechanicalSourcedT,
+                                  STensor3 &dmechanicalSourceF) const;
+
+
+    public:
+        mlawNonLinearTVENonLinearTVP2(const int num, const double E, const double nu, const double rho, const double tol,
+                         const double Tinitial, const double Alpha, const double KThCon, const double Cp,
+                         const bool matrixbyPerturbation = false, const double pert = 1e-8, const double stressIteratorTol = 1.e-9, const bool thermalEstimationPreviousConfig = true);
+
+        #ifndef SWIG
+        mlawNonLinearTVENonLinearTVP2(const mlawNonLinearTVENonLinearTVP2& src);
+        mlawNonLinearTVENonLinearTVP2& operator=(const materialLaw& source);
+        virtual ~mlawNonLinearTVENonLinearTVP2();
+
+        virtual bool withEnergyDissipation() const {return true;};
+
+        virtual matname getType() const{return materialLaw::nonlinearTVEnonlinearTVP2;}
+        virtual void createIPState(IPStateBase* &ips, bool hasBodyForce, const bool* state_=NULL,const MElement *ele=NULL,
+            const int nbFF_=0, const IntPt *GP=NULL, const int gpt = 0) const{
+            Msg::Error("mlawNonLinearTVENonLinearTVP2::createIPState has not been defined");
+        }
+        virtual void initLaws(const std::map<int,materialLaw*> &maplaw){}; // this law is initialized so nothing to do
+
+        virtual void constitutive(
+                    const STensor3& F0,         // initial deformation gradient (input @ time n)
+                    const STensor3& Fn,         // updated deformation gradient (input @ time n+1)
+                          STensor3 &P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                    const IPVariable *q0,       // array of initial internal variable
+                          IPVariable *q1,             // updated array of internal variable (in ipvcur on output),
+                          STensor43 &Tangent,         // constitutive tangents (output)
+                    const bool stiff,           // if true compute the tangents
+                          STensor43* elasticTangent = NULL,
+                    const bool dTangent =false,
+                          STensor63* dCalgdeps = NULL) const;
+
+        virtual void constitutive(
+                    const STensor3& F0,                     // initial deformation gradient (input @ time n)
+                    const STensor3& F1,                     // updated deformation gradient (input @ time n+1)
+                          STensor3& P,                      // updated 1st Piola-Kirchhoff stress tensor (output)
+                    const IPVariable *q0,                   // array of initial internal variable
+                          IPVariable *q1,                   // updated array of internal variable (in ipvcur on output),
+                          STensor43 &Tangent,               // constitutive mechanical tangents (output)
+                    const double& T0,                       // previous temperature
+                    const double& T,                        // temperature
+                    const SVector3 &gradT0,                 // previous temperature gradient
+                    const SVector3 &gradT,                  // temperature gradient
+                          SVector3 &fluxT,                  // temperature flux
+                          STensor3 &dPdT,                   // mechanical-thermal coupling
+                          STensor3 &dfluxTdgradT,           // thermal tengent
+                          SVector3 &dfluxTdT,
+                          STensor33 &dfluxTdF,              // thermal-mechanical coupling
+                          double &thermalSource,            // - Cp*dTdt
+                          double &dthermalSourcedT,         // thermal source
+                          STensor3 &dthermalSourcedF,
+                          double &mechanicalSource,         // mechanical source--> convert to heat
+                          double &dmechanicalSourcedT,
+                          STensor3 &dmechanicalSourceF,
+                    const bool stiff,
+                          STensor43* elasticTangent = NULL) const;
+
+        virtual materialLaw* clone() const{return new mlawNonLinearTVENonLinearTVP2(*this);};
+        virtual void checkInternalState(IPVariable* ipv, const IPVariable* ipvprev) const{}; // do nothing
+        #endif // SWIG
+};
+
+#endif //mlawNonLinearTVENonLinearTVP2
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVM.cpp b/NonLinearSolver/materialLaw/mlawNonLinearTVM.cpp
index 412ae54f97fa561f9c56149936fd8b353f0a2a95..c909e0c24a60f2b714144697e3d4d735b27631ea 100644
--- a/NonLinearSolver/materialLaw/mlawNonLinearTVM.cpp
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVM.cpp
@@ -22,7 +22,7 @@ mlawNonLinearTVM::mlawNonLinearTVM(const int num,const double E,const double nu,
      _Tinitial(Tinitial),_scalarAlpha(Alpha),_scalarK(KThCon),_Cp(Cp),
      _thermalEstimationPreviousConfig(thermalEstimationPreviousConfig), _mullinsEffect(NULL), _elasticPotential(NULL), 
      _useExtraBranch(false), _useExtraBranch_TVE(false), _ExtraBranch_TVE_option(2), _V0(0.),_V1(0.),_V2(0.),_D0(0.),_D1(0.),_D2(0.),_Ci(0.),
-	 _V3(0.),_V4(0.),_V5(0.),_D3(0.),_D4(0.),_D5(0.){
+	 _V3(0.),_V4(0.),_V5(0.),_D3(0.),_D4(0.),_D5(0.),_useRotationCorrection(false),_rotationCorrectionScheme(0){
 
 
   _G = _mu;
@@ -65,6 +65,8 @@ mlawNonLinearTVM::mlawNonLinearTVM(const mlawNonLinearTVM& src): mlawPowerYieldH
   _ExtraBranch_TVE_option = src._ExtraBranch_TVE_option;
   _V0 = src._V0; _V1 = src._V1; _V2 = src._V2; _D0 = src._D0; _D1 = src._D1; _D2 = src._D2; _Ci = src._Ci;
   _V3 = src._V3; _V4 = src._V4; _V5 = src._V5; _D3 = src._D3; _D4 = src._D4; _D5 = src._D5;
+  _useRotationCorrection = src._useRotationCorrection;
+  _rotationCorrectionScheme = src._rotationCorrectionScheme;
 
   _temFunc_K = NULL;                                                                    // bulk modulus
   if (src._temFunc_K != NULL){ _temFunc_K = src._temFunc_K->clone();}
@@ -116,8 +118,9 @@ mlawNonLinearTVM& mlawNonLinearTVM::operator=(const materialLaw &source){
     _ExtraBranch_TVE_option = src->_ExtraBranch_TVE_option;
     _V0 = src->_V0; _V1 = src->_V1; _V2 = src->_V2; _D0 = src->_D0; _D1 = src->_D1; _D2 = src->_D2; _Ci = src->_Ci;
     _V3 = src->_V3; _V4 = src->_V4; _V5 = src->_V5; _D3 = src->_D3; _D4 = src->_D4; _D5 = src->_D5;
+    _useRotationCorrection = src->_useRotationCorrection;
+    _rotationCorrectionScheme = src->_rotationCorrectionScheme;
 
-    
     if(_temFunc_K != NULL) delete _temFunc_K;                                                   // bulk modulus
     if (src->_temFunc_K != NULL){ _temFunc_K = src->_temFunc_K->clone();}
 
@@ -196,7 +199,7 @@ void mlawNonLinearTVM::setCorrectionsAllBranchesTVE(const int i, const double V0
   else{
 	  _V0[i-1] = V0; _V1[i-1] = V1; _V2[i-1] = V2; _D0[i-1] = D0; _D1[i-1] = D1; _D2[i-1] = D2;
 
-    Msg::Info("setting: element=%d, V0 = %e, V1 = %e, V2 = %e, D0 = %e, D1 = %e, D2 = %e",i-1,V0,V1,V2,D0,D1,D2);
+    // Msg::Info("setting: element=%d, V0 = %e, V1 = %e, V2 = %e, D0 = %e, D1 = %e, D2 = %e",i-1,V0,V1,V2,D0,D1,D2);
   }
 };
 
@@ -206,7 +209,7 @@ void mlawNonLinearTVM::setAdditionalCorrectionsAllBranchesTVE(const int i, const
   else{
     _V3[i-1] = V3; _D3[i-1] = D3;
 
-    Msg::Info("setting: element=%d, V3 = %e, D3 = %e",i-1,V3,D3);
+    //  Msg::Info("setting: element=%d, V3 = %e, D3 = %e",i-1,V3,D3);
   }
 };
 
@@ -216,7 +219,7 @@ void mlawNonLinearTVM::setAdditionalCorrectionsAllBranchesTVE(const int i, const
   else{
     _V3[i-1] = V3; _V4[i-1] = V4; _V5[i-1] = V5; _D3[i-1] = D3; _D4[i-1] = D4; _D5[i-1] = D5;
 
-    Msg::Info("setting: element=%d, V3 = %e, V4 = %e, V5 = %e, D3 = %e, D4 = %e, D5 = %e",i-1,V3,V4,V5,D3,D4,D5);
+    // Msg::Info("setting: element=%d, V3 = %e, V4 = %e, V5 = %e, D3 = %e, D4 = %e, D5 = %e",i-1,V3,V4,V5,D3,D4,D5);
   }
 };
 
@@ -226,7 +229,7 @@ void mlawNonLinearTVM::setCompressionCorrectionsAllBranchesTVE(const int i, cons
   else{
     _Ci[i-1] = Ci;
 
-    Msg::Info("setting: element=%d, Ci = %e",i-1,Ci);
+    // Msg::Info("setting: element=%d, Ci = %e",i-1,Ci);
   }
 };
 
@@ -602,11 +605,12 @@ double mlawNonLinearTVM::freeEnergyMechanical(const IPNonLinearTVM& q0, IPNonLin
                         //          Therefore, to derive CTasymm, first divide to remove it and then derive.
                             
                         // Regularising function
+                    	/*
                         double m = _tensionCompressionRegularisation;
                         double expmtr = exp(-m*q._B[i]);
                         double sigmoid = 1/(1.+expmtr);
                         double CTasymm = sigmoid + _compCorrection*(1.-sigmoid);
-                        double dCTasymmDtrE = m*expmtr/pow((1.+expmtr),2.)*(1.-_compCorrection);
+                        double dCTasymmDtrE = m*expmtr/pow((1.+expmtr),2.)*(1.-_compCorrection);*/
                         
                         (*DpsiDT) += (_Ki[i]*q._Av_TVE_vector[i]*q._B[i]*dTrEei_DT + 
                                         2.*_Gi[i]*q._Bd_TVE_vector[i]*STensorOperation::doubledot(q._A[i],dDevEei_DT)); // * CTasymm;
@@ -620,11 +624,22 @@ double mlawNonLinearTVM::freeEnergyMechanical(const IPNonLinearTVM& q0, IPNonLin
                                 // (*DpsiDE)(j,k) += (_Ki[i]*q._intAv_TVE_vector[i] + 2.*_Gi[i]*q._intBd_TVE_vector[i])/CTasymm * dCTasymmDtrE * exp_mid_k*_I(j,k);
                                 (*DpsiDE)(j,k) += (_Ki[i]*q._DintAv_TVE_vector[i] + 2.*_Gi[i]*q._DintBd_TVE_vector[i])* exp_mid_k*_I(j,k);
                                 for (int p=0; p<3; p++)
-                                    for (int r=0; r<3; r++)
+                                    for (int r=0; r<3; r++){
                                         (*DpsiDE)(j,k) += 2.*_Gi[i]*q._Bd_TVE_vector[i]*q._A[i](p,r)*exp_mid_g*_Idev(p,r,j,k); // * CTasymm; 
-                        }
-                        
-                    }
+
+                                // NEW EIGEN
+                                		if ( _useRotationCorrection == true && _rotationCorrectionScheme == 1){
+                                            for (int l=0; l<3; l++)
+                                              for (int s=0; s<3; s++){
+                                            	(*DpsiDE)(j,k) += 2.*_Gi[i]*q._Bd_TVE_vector[i]*q._A[i](p,r)*( exp_rec_g*( q._dRdEe(p,l,j,k)*q0._A[i](l,s)*q._R(s,r) + q._R(p,l)*q0._A[i](l,s)*q._dRtdEe(s,r,j,k) )
+                                            							+ exp_mid_g*( - q._dRdEe(p,l,j,k)*devEe0(l,s)*q._R(s,r) - q._R(p,l)*devEe0(l,s)*q._dRtdEe(s,r,j,k) ) );
+                                              }
+                                		}
+                                // NEW EIGEN
+                                    }
+                        } // for loop
+
+                    } // if
                 }
               }
 
@@ -674,6 +689,204 @@ void mlawNonLinearTVM::corKirInfinity(const IPNonLinearTVM *q1, const STensor3&
     CorKirTrInf = KT*(trEe - 3*AlphaT*(T1-_Tinitial));
 }
 
+void mlawNonLinearTVM::rotationTensor_N_to_Nplus1(const STensor3& Ee00, const STensor3& Fe0, const STensor3& Fe, const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0,
+													STensor3& R, STensor43& dRdEe, STensor43& dRtdEe) const{
+
+	STensorOperation::zero(R);
+
+	// Eigenvalue check
+	double e1, e2, e3;
+	static STensor3 E1, E2, E3;
+	STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3);
+
+	if (_rotationCorrectionScheme == 0){
+		STensorOperation::getBasisRotationTensor(Ee00,Ee0,R); // EIGEN 2
+		STensorOperation::zero(dRdEe); // EIGEN 2
+		STensorOperation::zero(dRtdEe); // EIGEN 2
+	}
+	else if (_rotationCorrectionScheme == 1){
+
+		double pert = _perturbationfactor/1.e-5;
+		static STensor3 Ee_plus, R_plus;
+		static STensor43 dRdEe_plus, dRtdEe_plus;
+		/*
+		for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++){
+		    Ee_plus = Ee;
+			Ee_plus(i,j) += 0.5*pert;
+			Ee_plus(j,i) += 0.5*pert;
+			STensorOperation::getBasisRotationTensor(Ee0,Ee_plus,R_plus);
+
+			for(int k=0; k<3; k++)
+			  for(int l=0; l<3; l++){
+				dRdEe_plus(k,l,i,j) = (R_plus(k,l)-R(k,l))/pert;
+				dRtdEe_plus(k,l,i,j) = (R_plus(l,k)-R(l,k))/pert;
+	     	  }
+		  }*/
+		/*
+		if (e1==e2 || e1==e3 || e2==e3){
+			STensorOperation::zero(dRdEe_plus); // EIGEN 2
+			STensorOperation::zero(dRtdEe_plus); // EIGEN 2
+		}
+		else{
+			STensorOperation::getBasisRotationTensor(Ee0,Ee,R,dRdEe_plus,dRtdEe_plus);
+		}*/
+
+		STensorOperation::getBasisRotationTensor(Ee0,Ee,R,dRdEe_plus,dRtdEe_plus); // R rotates the bases of Ee0 to that of E
+		dRdEe = dRdEe_plus;
+		dRtdEe = dRtdEe_plus;
+	}
+
+    // static STensor3 Ue, Re, Ue0, Re0, Vp0, Vp, Rp0, Rp;
+    // static STensor43 dEedFe, dEedCe, dRedEe;
+	// mlawNonLinearTVM::getdRedEe(Fe,Ce,dEedFe,dEedCe,Ue,Re,dRedEe);
+	// STensorOperation::VRDecomposition(Fe0,Vp0,Rp0); //EIGEN 2 - remove
+	// STensorOperation::VRDecomposition(Fe,Vp,Rp); //EIGEN 2 - remove
+    // STensorOperation::RUDecomposition(Fe0,Ue0,Re0);
+}
+
+void mlawNonLinearTVM::getdRedEe(const STensor3& Fe, const STensor3& Ce, const STensor43& dEedFe, const STensor43& dEedCe,
+									STensor3& Ue, STensor3& Re, STensor43& dRedEe) const{
+	STensorOperation::zero(Re);
+	STensorOperation::zero(Ue);
+	STensorOperation::RUDecomposition(Fe,Ue,Re);
+
+	static STensor43 dFedEe, dCedEe;
+	STensorOperation::inverseSTensor43(dEedFe,dFedEe);
+	STensorOperation::inverseSTensor43(dEedCe,dCedEe);
+
+	static STensor43 dFedFe;
+	STensorOperation::zero(dFedFe);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++)
+        for(int k=0; k<3; k++)
+          for(int l=0; l<3; l++)
+        	  dFedFe(i,j,k,l) += _I(i,k)*_I(j,l);
+
+	static STensor3 Ueinv;
+	STensorOperation::inverseSTensor3(Ue,Ueinv);
+	static STensor43 dUedCe, dUeinvdCe;
+	mlawNonLinearTVM::getdUedCe(Ce,Ue,dUedCe);
+    for (int i=0; i<3; i++)
+        for (int s=0; s<3; s++)
+            for (int k=0; k<3; k++)
+                for (int l=0; l<3; l++){
+                	dUeinvdCe(i,s,k,l) = 0.;
+                    for (int m=0; m<3; m++)
+                        for (int j=0; j<3; j++)
+                        	dUeinvdCe(i,s,k,l) -= Ueinv(i,m)*dUedCe(m,j,k,l)*Ueinv(j,s);
+      }
+
+    static STensor43 dUeinvdEe;
+    STensorOperation::multSTensor43(dUeinvdCe,dCedEe,dUeinvdEe);
+
+    STensorOperation::zero(dRedEe);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++)
+        for(int k=0; k<3; k++)
+          for(int l=0; l<3; l++)
+        	for(int r=0; r<3; r++)
+              dRedEe(i,j,k,l) += dFedEe(i,r,k,l)*Ueinv(r,j) + Fe(i,r)*dUeinvdEe(r,j,k,l);
+
+}
+void mlawNonLinearTVM::getdUedCe(const STensor3& Ce, const STensor3& Ue, STensor43& dUedCe) const{
+
+	double c1,c2,c3,x1,x2,x3; // eigenvalues
+	static STensor3 C1,C2,C3,E1,E2,E3; // bases
+	static STensor3 dc1da,dc2da,dc3da,dx1da,dx2da,dx3da; // eigenvalue derivatives
+	static STensor43 dC1da,dC2da,dC3da,dE1da,dE2da,dE3da; // bases derivatives
+
+	STensorOperation::getEigenDecomposition(Ce,c1,c2,c3,C1,C2,C3,dc1da,dc2da,dc3da,dC1da,dC2da,dC3da);
+	STensorOperation::getEigenDecomposition(Ue,x1,x2,x3,E1,E2,E3,dx1da,dx2da,dx3da,dE1da,dE2da,dE3da);
+
+	static STensor43 dCedCe;
+	STensorOperation::zero(dCedCe);
+	STensorOperation::zero(dUedCe);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++)
+        for(int k=0; k<3; k++)
+          for(int l=0; l<3; l++){
+        	  dCedCe(i,j,k,l) += dc1da(i,j)*C1(k,l) + dc2da(i,j)*C2(k,l) + dc3da(i,j)*C3(k,l) + c1*dC1da(i,j,k,l) + c2*dC2da(i,j,k,l) + c3*dC3da(i,j,k,l); // Should be equal to _I4
+        	  dUedCe(i,j,k,l) += dx1da(i,j)*E1(k,l) + dx2da(i,j)*E2(k,l) + dx3da(i,j)*E3(k,l) + x1*dE1da(i,j,k,l) + x2*dE2da(i,j,k,l) + x3*dE3da(i,j,k,l);
+          }
+
+    static STensor43 check;
+    check = dCedCe;
+    check -= _I4;
+}
+
+void mlawNonLinearTVM::getdEe0dEe(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, STensor43& dEe0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	double e01,e02,e03,c1,c2,c3; // eigenvalues
+	static STensor3 E01,E02,E03,C1,C2,C3; // bases
+	static STensor3 dc1da,dc2da,dc3da; // eigenvalue derivatives
+	static STensor43 dC1da,dC2da,dC3da; // bases derivatives
+
+	STensorOperation::getEigenDecomposition(Ee0,e01,e02,e03,E01,E02,E03);
+	STensorOperation::getEigenDecomposition(Ce,c1,c2,c3,C1,C2,C3,dc1da,dc2da,dc3da,dC1da,dC2da,dC3da);
+
+	// #####
+	// Align the eigenVals of Ee0 with Ee
+	static fullMatrix<double> m1(3, 3), m2(3, 3);
+	static fullVector<double> eigenValReal1(3), eigenValReal2(3), AlignedEigenValReal1(3);
+	static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+	static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+	static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), AlignedRightEigenVect1(3,3);
+	m1.setAll(0.); m2.setAll(0.);
+	eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); AlignedEigenValReal1.setAll(0.);
+	eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+	leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+	rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+
+	// Get eigen values and vectors
+	Ee0.getMat(m1); Ee.getMat(m2);
+	m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+	m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+	// for printing - Debug
+	e01 = eigenValReal1(0);
+	e02 = eigenValReal1(1);
+	e03 = eigenValReal1(2);
+
+	// Make sure rightEigenVect1 is aligned with rightEigenVect2
+	STensorOperation::alignEigenDecomposition_NormBased(Ee0,Ee,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+	// eigenValReal1 = AlignedEigenValReal1;
+	rightEigenVect1 = AlignedRightEigenVect1;
+	// e01 = AlignedEigenValReal1(0);
+	// e02 = AlignedEigenValReal1(1);
+	// e03 = AlignedEigenValReal1(2);
+	// #####
+
+	if(c1==0.) {STensorOperation::zero(dC1da);}
+	if(c2==0.) {STensorOperation::zero(dC2da);}
+	if(c3==0.) {STensorOperation::zero(dC3da);}
+
+	static STensor43 dEe0sdCe, dCedCe;
+	STensorOperation::zero(dEe0sdCe);
+	STensorOperation::zero(dCedCe);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++)
+        for(int k=0; k<3; k++)
+          for(int l=0; l<3; l++){
+        	  dEe0sdCe(i,j,k,l) += e01*dC1da(i,j,k,l) + e02*dC2da(i,j,k,l) + e03*dC3da(i,j,k,l);
+        	  dCedCe(i,j,k,l) += dc1da(i,j)*C1(k,l) + dc2da(i,j)*C2(k,l) + dc3da(i,j)*C3(k,l) + c1*dC1da(i,j,k,l) + c2*dC2da(i,j,k,l) + c3*dC3da(i,j,k,l);  // Should be equal to _I4
+          }
+
+    static STensor43 check;
+    check = dCedCe;
+    check -= _I4;
+
+    // convert to dEe0sdEe
+    static STensor3 Ee2, exp_Ee2;
+    static STensor43 dCedEe;
+	STensorOperation::zero(dCedEe);
+    Ee2 = Ee;
+    Ee2 *= 2;
+    STensorOperation::expSTensor3(Ee2,_order,exp_Ee2,&dCedEe);
+    STensorOperation::multSTensor43(dEe0sdCe,dCedEe,dEe0sdEe);
+}
 
 void mlawNonLinearTVM::evaluateElasticCorrection(const double trE, const STensor3 &devE, const double& T, 
                                                  double &A_v, double &dA_vdE, double &intA, double &dAdT,
@@ -1132,67 +1345,6 @@ void mlawNonLinearTVM::extraBranch_nonLinearTVE(const int i, const STensor3& Ee,
                 // Msg::Error(" Inside extraBranch_nonLinearTVE Type 4, _D1 = 0. or _D4 = 0., incompatibility with Mullin's effect");
             }
         }
-    /*else if (_ExtraBranch_TVE_option == 5){
-
-                // Sigmoid + Exponential + Tension-Compression Asymmetry
-                // Standard form => A_v = sigmoid*a/(sqrt(b*tr*tr+c)) + (1-sigmoid)* Comp* (a/(sqrt(b*tr*tr+c)) + d*exp(f*tr*tr+g))
-
-                // Regularising function
-                double m = _tensionCompressionRegularisation;
-                double expmtr = exp(-m*tr);
-                // if (exp(-m*tr)<1.e+10){ expmtr = exp(-m*tr);}
-                double sigmoid = 1/(1.+expmtr);
-
-                // Av
-                double x1 = _V1[i]*tr*tr + _V2[i];
-                double x2 = _V4[i]*tr*tr + _V5[i];
-                Av = sigmoid*(getVolumeCorrection()/sqrt(x1)) + (1-sigmoid)*_Ci[i]*(getVolumeCorrection()/sqrt(x1) + _V3[i]*exp(x2));
-
-                dA_dTrEe = sigmoid*(-getVolumeCorrection()*_V1[i]*tr/pow(x1,1.5)) + (1.-sigmoid)*_Ci[i]*( -getVolumeCorrection()*_V1[i]*tr/pow(x1,1.5) + 2*_V3[i]*_V4[i]*tr*exp(x2))
-                           + (m*expmtr/pow((1.+expmtr),2.))*getVolumeCorrection()*1./sqrt(x1) - (m*expmtr/pow((1.+expmtr),2.))*_Ci[i]*(getVolumeCorrection()/sqrt(x1) + _V3[i]*exp(x2)) ;
-
-                if(_V1[i]>0. && _V4[i]>0.){
-                    double integrand1 = 1./_V1[i]*sqrt(x1); // integral of A_v * trEe
-                    integrand1 -= ( 1./_V1[i]*sqrt(_V2[i]) ); // value at trEe = 0.
-                    integrand1 *= getVolumeCorrection();
-
-                    double integrand2 = exp(x2)/(2*_V4[i]);
-                    integrand2 -= exp(_V5[i])/(2*_V4[i]);
-					integrand2 *= _V3[i];
-
-                    intA = sigmoid*integrand1 + (1.-sigmoid)*_Ci[i]*(integrand1 + integrand2);
-                }
-                else{
-                    intA = 1.;
-                }
-
-                // Bd
-                double y1 = _D1[i]*dev.dotprod() + _D2[i];
-                double y2 = _D4[i]*dev.dotprod() + _D5[i];
-                Bd = sigmoid*(getDevCorrection()/sqrt(y1)) + (1-sigmoid)*_Ci[i]*(getDevCorrection()/sqrt(y1) + _D3[i]*exp(y2));
-
-                STensorOperation::zero(dB_dDevEe);
-                dB_dDevEe = dev;
-                dB_dDevEe *= ( sigmoid*(-getDevCorrection()*_D1[i]/pow(y1,1.5)) + (1.-sigmoid)*_Ci[i]*( -getDevCorrection()*_D1[i]/pow(y1,1.5) + 2*_D3[i]*_D4[i]*exp(y2)) );
-
-                if(dB_dTrEe!=NULL){
-                    *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*getDevCorrection()*1./sqrt(y1) - (m*expmtr/pow((1.+expmtr),2.))*_Ci[i]*(getDevCorrection()/sqrt(y1) + _D3[i]*exp(y2));
-                }
-                if(_D1[i]>0. && _D4[i]>0.){
-                    double integrand1 = 1./_D1[i]*sqrt(y1);  // integral of B_d * devEe
-                    integrand1 -= (1./_D1[i]*sqrt(_D2[i]) );  // value at devEe = 0.
-                    integrand1 *= getDevCorrection();
-
-                    double integrand2 = exp(y2)/(2*_D4[i]);
-                    integrand2 -= exp(_D5[i])/(2*_D4[i]);
-					integrand2 *= _D3[i];
-
-					intB = sigmoid*integrand1 + (1.-sigmoid)*_Ci[i]*(integrand1 + integrand2);
-                }
-                else{
-                    intB = 1.;
-                }
-            }*/
     else if (_ExtraBranch_TVE_option == 5){
 
             // Tension-Compression Asymmetry
@@ -1207,25 +1359,28 @@ void mlawNonLinearTVM::extraBranch_nonLinearTVE(const int i, const STensor3& Ee,
 
             // Av
             double x1 = _V1[i]*tr*tr + _V2[i];
-            double x2 = _V4[i]*tr*tr + _V5[i];
-            Av = sigmoid*(1./sqrt(x1)+ _V3[i]*(1+tanh(x2))) + (1.-sigmoid)*(_Ci[i]*(1./sqrt(x1) + _V3[i]));
+            double x2 = _V4[i]*tr*tr;
+            Av = sigmoid*(1./sqrt(x1)+ _V3[i]*(_V5[i]+tanh(x2))) + (1.-sigmoid)*(_Ci[i]*(1./sqrt(x1) + _V0[i]));
+            // Av = sigmoid*(1./sqrt(x1)+_V0[i]) + (1.-sigmoid)*_Ci[i]*(1/sqrt(x2)+_V3[i]); -> Type4
             // Av *= getVolumeCorrection();
 
             dA_dTrEe = -sigmoid*(_V1[i]*tr/pow(x1,1.5) - _V3[i]*(2*_V4[i]*tr*pow(1/cosh(x2),2))) - (1.-sigmoid)*(_V1[i]*_Ci[i]*tr/pow(x1,1.5))
-                       + (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + _V3[i]*(1+tanh(x2)))- (_Ci[i]*m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + _V3[i]);
+                       + (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + _V3[i]*(_V5[i]+tanh(x2)))- (_Ci[i]*m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(x1) + _V0[i]);
             // dA_dTrEe *= getVolumeCorrection();
 
             if(_V1[i]>0.){
-                double integrand1 = 1./_V1[i]*sqrt(x1) + _V3[i]*tr*tr/2.; // integral of A_v * trEe
+                double integrand1 = 1./_V1[i]*sqrt(x1) + _V3[i]*_V5[i]*tr*tr/2.; // integral of A_v * trEe
                 double integrand2 = 0.;
+                double integrand3 = 1./_V1[i]*sqrt(x1) + _V0[i]*tr*tr/2.;
                 if(_V4[i] != 0.){
                 	integrand2 = _V3[i]/(2.*_V4[i])*log(cosh(x2));
                 }
                 integrand1 -= ( 1./_V1[i]*sqrt(_V2[i]) ); // value at trEe = 0.
-                intA = sigmoid*(integrand1 + integrand2) + _Ci[i]*(1.-sigmoid)*integrand1;
+                integrand3 -= ( 1./_V1[i]*sqrt(_V2[i]) ); // value at trEe = 0.
+                intA = sigmoid*(integrand1 + integrand2) + _Ci[i]*(1.-sigmoid)*integrand3;
                 // intA *= getVolumeCorrection();
 
-                DintA = (m*expmtr/pow((1.+expmtr),2.))*integrand1 - _Ci[i]*(m*expmtr/pow((1.+expmtr),2.))*integrand2;
+                DintA = (m*expmtr/pow((1.+expmtr),2.))*(integrand1 + integrand2) - _Ci[i]*(m*expmtr/pow((1.+expmtr),2.))*integrand3;
             }
             else{
                 intA = 1.;
@@ -1233,8 +1388,8 @@ void mlawNonLinearTVM::extraBranch_nonLinearTVE(const int i, const STensor3& Ee,
 
             // Bd
             double y1 = _D1[i]*dev.dotprod() + _D2[i];
-            double y2 = _D4[i]*dev.dotprod() + _D5[i];
-            Bd = sigmoid* (1./sqrt(y1) + _D3[i]*(1+tanh(y2))) + (1.-sigmoid)*(_Ci[i]*(1./sqrt(y1) + _D3[i])) ;
+            double y2 = _D4[i]*dev.dotprod();
+            Bd = sigmoid* (1./sqrt(y1) + _D3[i]*(_D5[i] + tanh(y2))) + (1.-sigmoid)*(_Ci[i]*(1./sqrt(y1) + _D0[i])) ;
             // Bd *= getDevCorrection();
 
             STensorOperation::zero(dB_dDevEe);
@@ -1243,20 +1398,22 @@ void mlawNonLinearTVM::extraBranch_nonLinearTVE(const int i, const STensor3& Ee,
             // dB_dDevEe *= getDevCorrection();
 
             if(dB_dTrEe!=NULL){
-                *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(y1) + _D3[i]*(1+tanh(y2))) - (m*expmtr/pow((1.+expmtr),2.))*(_Ci[i]*(1./sqrt(y1) + _D3[i]));
+                *dB_dTrEe = (m*expmtr/pow((1.+expmtr),2.))*(1./sqrt(y1) + _D3[i]*(_D5[i] + tanh(y2))) - (m*expmtr/pow((1.+expmtr),2.))*(_Ci[i]*(1./sqrt(y1) + _D0[i]));
                 // *dB_dTrEe *= getDevCorrection();
             }
             if(_D1[i]>0.){
-                double integrand1 = 1./_D1[i]*sqrt(y1) + _D3[i]*dev.dotprod()/2.;  // integral of B_d * devEe
+                double integrand1 = 1./_D1[i]*sqrt(y1) + _D3[i]*_D5[i]*dev.dotprod()/2.;  // integral of B_d * devEe
                 double integrand2 = 0.;
+                double integrand3 = 1./_D1[i]*sqrt(y1) + _D0[i]*dev.dotprod()/2.;
                 if(_D4[i] != 0.){
                 	integrand2 = _D3[i]/(2.*_D4[i])*log(cosh(y2));
                 }
                 integrand1 -= (1./_D1[i]*sqrt(_D2[i]) );  // value at devEe = 0.
-                intB = sigmoid*(integrand1 + integrand2) + _Ci[i]*(1.-sigmoid)*integrand1;
+                integrand3 -= (1./_D1[i]*sqrt(_D2[i]) );  // value at devEe = 0.
+                intB = sigmoid*(integrand1 + integrand2) + _Ci[i]*(1.-sigmoid)*integrand3;
                 // intB *= getDevCorrection();
 
-                DintB = (m*expmtr/pow((1.+expmtr),2.))*integrand1 - _Ci[i]*(m*expmtr/pow((1.+expmtr),2.))*integrand2;
+                DintB = (m*expmtr/pow((1.+expmtr),2.))*(integrand1 + integrand2) - _Ci[i]*(m*expmtr/pow((1.+expmtr),2.))*integrand3;
             }
             else{
                 intB = 1.;
@@ -1301,7 +1458,7 @@ void mlawNonLinearTVM::extraBranch_nonLinearTVE(const int i, const STensor3& Ee,
                         
 void mlawNonLinearTVM::ThermoViscoElasticPredictor(const STensor3& Ee, const STensor3& Ee0,
           const IPNonLinearTVM *q0, IPNonLinearTVM *q1,
-          double& Ke, double& Ge, double& DKDTsum, double& DGDTsum,
+          double& Ke, double& Ge,
           const double T0, const double T1, const bool stiff, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2) const{
 
     // NEW
@@ -1345,7 +1502,6 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor(const STensor3& Ee, const STe
     
     // Initialise Moduli
     Ke = KT; Ge = GT;
-    DKDTsum = DKDT; DGDTsum = DGDT;
     
     if(_useExtraBranch){
         
@@ -1457,11 +1613,9 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor(const STensor3& Ee, const STe
                 
                 // Ge for DcorKirDE
                 Ge += _Gi[i]*exp_mid_g; // 2* (..) - Dont multiply by 2 if using lambda and mu in Hooks tensor function
-                DGDTsum += -_Gi[i]/(_gi[i])*Ddt_shiftDT_mid*exp_mid_g;
             
                 // Ke for DcorKirDE
                 Ke += _Ki[i]*exp_mid_k;
-                DKDTsum += -_Ki[i]/(_ki[i])*Ddt_shiftDT_mid*exp_mid_k;
             
                 // Single Convolution
                 for (int k=0; k<3; k++)
@@ -1490,12 +1644,10 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor(const STensor3& Ee, const STe
                 
                     // Ge for DcorKirDE
                     Ge += ( exp_mid_g *_Gi[i] * q0->_Bd_TVE ); // 2* (..) - Dont multiply by 2 if using lambda and mu in Hooks tensor function
-                    DGDTsum += ( -_Gi[i]/(_gi[i])*Ddt_shiftDT_mid*exp_mid_g );
             
                     // Ke for DcorKirDE
                     Ke += ( exp_mid_k *_Ki[i] * Av ) ; 
                     Ke += ( exp_mid_k *_Ki[i]* q0->_B[i]/Av * dA_dTrEe );
-                    DKDTsum += (-_Ki[i]/(_ki[i])*Ddt_shiftDT_mid*exp_mid_k);
             
                     // Single Convolution
                     double temp2(0.);
@@ -2454,18 +2606,42 @@ void mlawNonLinearTVM::predictorCorrector_ThermoViscoElastic(
     E *= 0.5; // strain
     
     // Stresses and Effective Moduli
-    double Ke(0.), Ge(0.), DKDTsum(0.), DGDTsum(0.);
+    double Ke(0.), Ge(0.);
     static STensor43 Bd_stiffnessTerm, Bd_stiffnessTerm2;
     STensorOperation::zero(Bd_stiffnessTerm);
     STensorOperation::zero(Bd_stiffnessTerm2);
+
+
     if(_extraBranchNLType == TensionCompressionRegularisedType || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
-        ThermoViscoElasticPredictor(E,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm,&Bd_stiffnessTerm2); 
+        ThermoViscoElasticPredictor(E,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm,&Bd_stiffnessTerm2);
                 // Updates the values of moduli to the current temperatures and calculate stresses.
     }
     else{
-        ThermoViscoElasticPredictor(E,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm); 
+        ThermoViscoElasticPredictor(E,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
     }
     
+
+    static fullMatrix<double> m1(3, 3), m2(3, 3);
+    static fullVector<double> eigenValReal1(3), eigenValReal2(3);
+    static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+    static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+    static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3);
+    m1.setAll(0.); m2.setAll(0.);
+    eigenValReal1.setAll(0.); eigenValReal2.setAll(0.);
+    eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+    leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+    rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.);
+
+    // Get eigen values and vectors
+    q1->_kirchhoff.getMat(m1); C.getMat(m2);
+    m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+    m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+    double eig1, eig2, eig3, eig10,eig20,eig30;
+    static STensor3 E1,E2,E3,E10,E20,E30;
+    STensorOperation::getEigenDecomposition(q1->_kirchhoff,eig1,eig2,eig3,E1,E2,E3);
+    STensorOperation::getEigenDecomposition(C,eig10,eig20,eig30,E10,E20,E30);
+
     // additional hyperelastic branch - NOt necessary anymore
     // NEW
     /*
@@ -2485,17 +2661,51 @@ void mlawNonLinearTVM::predictorCorrector_ThermoViscoElastic(
     STensorOperation::decomposeDevTr(corKir,devT,pT);
     q1->_pressure = pT/3.;
     
-    static STensor3 secondPK; // , Ceinv, Me, temp1_Me, temp2_Me;
-    /*
-    STensorOperation::inverseSTensor3(C,Ceinv);
-    STensorOperation::multSTensor3(C, q1->_kirchhoff, temp1_Me);
-    STensorOperation::multSTensor3(temp1_Me, Ceinv, temp2_Me);
-    Me = 0.5*(q1->_kirchhoff + temp2_Me);
-    STensorOperation::multSTensor3(Ceinv,Me,secondPK);*/
-    
+    static STensor3 secondPK;
     STensorOperation::multSTensor3STensor43(q1->_kirchhoff,dlnCdC,secondPK);
     STensorOperation::multSTensor3(F,secondPK,P);                  // 1st PK
     
+    static STensor3 M;
+    STensorOperation::multSTensor3(C,secondPK,M);
+    q1->_ModMandel = M;
+
+    // commuteChecker -> for commuting tensors Ce and Se, Me has to be symmetric ->
+    // 			For two cases, both in the case of viscoplasticity if Een and Ee dont share eigenvectors: 1. Due to plasticity (Rp)  2. Due to non-proportional loading
+    static STensor3 commuteChecker, MT;
+    STensorOperation::transposeSTensor3(M,MT);
+    commuteChecker = M;
+    commuteChecker -= MT;
+    q1->_mandelCommuteChecker = commuteChecker.norm0();
+    if(q1->_mandelCommuteChecker > 1.e-6){
+    	// Msg::Error("Mandel does not commute in mlawNonLinearTVM, norm = %e, tol = %e !!",q1->_mandelCommuteChecker,1.e-6);
+    }
+
+    //
+
+    // check
+    /*
+    double Ke_new, Ge_new;
+    static STensor3 Ee0_rot, R, secondPK_new, Me_new;
+    static STensor43 dRdEe, dRtdEe, Bd_stiffnessTerm_new, Bd_stiffnessTerm2_new;
+	mlawNonLinearTVM::rotationTensor_N_to_Nplus1(E,q0->_Ee,R,dRdEe,dRtdEe);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++){
+    	 Ee0_rot(i,j) = 0.;
+    	 for(int k=0; k<3; k++)
+    	   for(int l=0; l<3; l++)
+    	     Ee0_rot(i,j) += R(i,k)*q0->_Ee(k,l)*R(j,l);
+      }
+
+	static IPNonLinearTVM q1_test(*q0);
+	if(_extraBranchNLType == TensionCompressionRegularisedType || _extraBranchNLType == hyper_exp_TCasymm_Type || _ExtraBranch_TVE_option == 3 || _ExtraBranch_TVE_option == 4 || _ExtraBranch_TVE_option == 5){
+        ThermoViscoElasticPredictor(E,Ee0_rot,q0,&q1_test,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm_new,&Bd_stiffnessTerm2_new);
+    }
+    else{
+        ThermoViscoElasticPredictor(E,Ee0_rot,q0,&q1_test,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm2_new);
+    }
+    STensorOperation::multSTensor3STensor43(q1_test._kirchhoff,dlnCdC,secondPK_new);
+    STensorOperation::multSTensor3(C,secondPK_new,Me_new);*/
+
     // elastic energy and derivatives
     double& Dpsi_DT = q1->getRefTo_Dpsi_DT();
     STensor3& Dpsi_DE = q1->getRefTo_Dpsi_DE();
@@ -2784,12 +2994,12 @@ void mlawNonLinearTVM::predictorCorrector_ThermoViscoElastic(
                         }
                 }
             }
-            // dmechanicalSourceE += dWmdE_TVE; // TVE term
+            dmechanicalSourceE += dWmdE_TVE; // TVE term
             STensorOperation::multSTensor3STensor43(dmechanicalSourceE,DEeDFe,dmechanicalSourceF);
         
             dmechanicalSourcedT += (STensorOperation::doubledot(DcorKirDT,DEe)/this->getTimeStep());
             dmechanicalSourcedT += T*(STensorOperation::doubledot(DDcorKirDT,DEe)/this->getTimeStep());
-            // dmechanicalSourcedT += dWmdT_TVE; // TVE term
+            dmechanicalSourcedT += dWmdT_TVE; // TVE term
         }
         
         // Compute Tangents for Mullin's Effect
@@ -2839,10 +3049,325 @@ void mlawNonLinearTVM::predictorCorrector_ThermoViscoElastic(
     }
 };
 
-void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, const STensor3& Ee0,
-          const IPNonLinearTVM *q0, IPNonLinearTVM *q1,
-          double& Ke, double& Ge,
-          const double T0, const double T1, const bool stiff, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2) const{
+void mlawNonLinearTVM::getEe0s(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, STensor3& Ee0s, STensor43& dEe0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	double e01,e02,e03, e1,e2,e3, c1,c2,c3; // eigenvalues
+	static STensor3 E01,E02,E03,E1,E2,E3,C1,C2,C3; // bases
+	static STensor3 dc1da,dc2da,dc3da; // eigenvalue derivatives
+	static STensor43 dC1da,dC2da,dC3da; // bases derivatives
+
+	STensorOperation::getEigenDecomposition(Ee0,e01,e02,e03,E01,E02,E03);
+	STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3);
+	STensorOperation::getEigenDecomposition(Ce,c1,c2,c3,C1,C2,C3,dc1da,dc2da,dc3da,dC1da,dC2da,dC3da);
+
+	// #####
+	// Align the eigenVals of Ee0 with Ee
+	static fullMatrix<double> m1(3, 3), m2(3, 3);
+	static fullVector<double> eigenValReal1(3), eigenValReal2(3), AlignedEigenValReal1(3);
+	static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+	static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+	static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), AlignedRightEigenVect1(3,3);
+	m1.setAll(0.); m2.setAll(0.);
+	eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); AlignedEigenValReal1.setAll(0.);
+	eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+	leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+	rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+
+	// Get eigen values and vectors
+	Ee0.getMat(m1); Ce.getMat(m2);
+	m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+	m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+	// for printing - Debug
+	e01 = eigenValReal1(0);
+	e02 = eigenValReal1(1);
+	e03 = eigenValReal1(2);
+
+	// Make sure rightEigenVect1 is aligned with rightEigenVect2
+	STensorOperation::alignEigenDecomposition_NormBased(Ee0,Ce,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+	rightEigenVect1 = AlignedRightEigenVect1;
+	// #####
+
+	if(c1==0.) {STensorOperation::zero(dC1da);}
+	if(c2==0.) {STensorOperation::zero(dC2da);}
+	if(c3==0.) {STensorOperation::zero(dC3da);}
+
+	static STensor43 dEe0sdCe, dCedCe;
+	STensorOperation::zero(dEe0sdCe);
+	STensorOperation::zero(dCedCe);
+	STensorOperation::zero(Ee0s);
+    for(int i=0; i<3; i++)
+      for(int j=0; j<3; j++){
+    	Ee0s(i,j) += e01*C1(i,j) + e02*C2(i,j) + e03*C3(i,j);
+        for(int k=0; k<3; k++)
+          for(int l=0; l<3; l++){
+        	  dEe0sdCe(i,j,k,l) += e01*dC1da(i,j,k,l) + e02*dC2da(i,j,k,l) + e03*dC3da(i,j,k,l);
+        	  dCedCe(i,j,k,l) += dc1da(i,j)*C1(k,l) + dc2da(i,j)*C2(k,l) + dc3da(i,j)*C3(k,l) + c1*dC1da(i,j,k,l) + c2*dC2da(i,j,k,l) + c3*dC3da(i,j,k,l);  // Should be equal to _I4
+          }
+      }
+
+    static STensor43 check;
+    check = dCedCe;
+    check -= _I4;
+
+    // convert to dEe0sdEe
+    static STensor3 Ee2, exp_Ee2;
+    static STensor43 dCedEe;
+	STensorOperation::zero(dCedEe);
+    Ee2 = Ee;
+    Ee2 *= 2;
+    STensorOperation::expSTensor3(Ee2,_order,exp_Ee2,&dCedEe);
+    STensorOperation::multSTensor43(dEe0sdCe,dCedEe,dEe0sdEe);
+}
+
+void mlawNonLinearTVM::getEe0s2(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, int& index1, int& index2, int& index3, STensor3& Ee0s, STensor43& dEe0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	static fullVector<double> eigenValReal1(3); eigenValReal1.setAll(0.);
+	double e01,e02,e03,e1,e2,e3; // eigenvalues
+	static STensor3 E01,E02,E03,E1,E2,E3; // bases
+	static STensor3 de1da,de2da,de3da; // eigenvalue derivatives
+	static STensor43 dE1da,dE2da,dE3da; // bases derivatives
+	STensorOperation::getEigenDecomposition(Ee0,e01,e02,e03,E01,E02,E03);
+	eigenValReal1(0) = e01; eigenValReal1(1) = e02; eigenValReal1(2) = e03;
+
+
+	double det = STensorOperation::determinantSTensor3(Ee);
+	if(det!=0.){
+		STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3,de1da,de2da,de3da,dE1da,dE2da,dE3da);
+
+		// Make sure rightEigenVect1 is aligned with rightEigenVect2
+		// STensorOperation::alignEigenDecomposition_NormBased(Ee0,Ee,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+		// rightEigenVect1 = AlignedRightEigenVect1;
+		// STensorOperation::alignEigenDecomposition_EigenVectorDotProductBased(eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+		STensorOperation::alignEigenDecomposition_NormBased(Ee0,Ee,e1,e2,e3,E1,E2,E3,eigenValReal1,index1,index2,index3,e01,e02,e03);
+
+
+		static STensor43 dEedEe;
+		STensorOperation::zero(dEe0sdEe);
+		STensorOperation::zero(dEedEe);
+		STensorOperation::zero(Ee0s);
+		for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++){
+			Ee0s(i,j) += e01*E1(i,j) + e02*E2(i,j) + e03*E3(i,j);
+			for(int k=0; k<3; k++)
+			  for(int l=0; l<3; l++){
+				  dEe0sdEe(i,j,k,l) += e01*dE1da(i,j,k,l) + e02*dE2da(i,j,k,l) + e03*dE3da(i,j,k,l);
+				  dEedEe(i,j,k,l) += de1da(i,j)*E1(k,l) + de2da(i,j)*E2(k,l) + de3da(i,j)*E3(k,l) + e1*dE1da(i,j,k,l) + e2*dE2da(i,j,k,l) + e3*dE3da(i,j,k,l);  // Should be equal to _I4
+			  }
+		  }
+
+		static STensor43 check;
+		check = dEedEe;
+		check -= _I4;
+	}
+	else{
+		STensorOperation::zero(de1da); STensorOperation::zero(de2da); STensorOperation::zero(de3da); STensorOperation::zero(dE1da); STensorOperation::zero(dE2da); STensorOperation::zero(dE3da);
+		Ee0s=Ee0;
+	}
+
+}
+
+void mlawNonLinearTVM::getAi0s2(const STensor3& Ce, const STensor3& Ee, const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	double e01,e02,e03,e1,e2,e3; // eigenvalues
+	static STensor3 E01,E02,E03,E1,E2,E3; // bases
+	static STensor3 de1da,de2da,de3da; // eigenvalue derivatives
+	static STensor43 dE1da,dE2da,dE3da; // bases derivatives
+
+	double det = STensorOperation::determinantSTensor3(Ee);
+	if(det!=0.){
+		STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3,de1da,de2da,de3da,dE1da,dE2da,dE3da);
+	}
+	else{
+		STensorOperation::zero(de1da); STensorOperation::zero(de2da); STensorOperation::zero(de3da); STensorOperation::zero(dE1da); STensorOperation::zero(dE2da); STensorOperation::zero(dE3da);
+	}
+
+
+	// #####
+	// Align the eigenVals of Ee0 with Ee
+	static fullMatrix<double> m1(3, 3), m2(3, 3);
+	static fullVector<double> eigenValReal1(3), eigenValReal2(3), AlignedEigenValReal1(3);
+	static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+	static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+	static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), AlignedRightEigenVect1(3,3);
+	m1.setAll(0.); m2.setAll(0.);
+	eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); AlignedEigenValReal1.setAll(0.);
+	eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+	leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+	rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+
+	// Get eigen values and vectors
+	Ee.getMat(m2); m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+    // Loop
+    for (int i=0; i<_Gi.size(); i++){
+
+    	// Get eigen values and vectors
+    	m1.setAll(0.); eigenValReal1.setAll(0.); eigenValImag1.setAll(0.); leftEigenVect1.setAll(0.); rightEigenVect1.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+    	STensorOperation::getEigenDecomposition(Ai0[i],e01,e02,e03,E01,E02,E03);
+    	Ai0[i].getMat(m1);
+    	m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+
+
+    	// eigenvalues
+    	e01 = eigenValReal1(0);
+    	e02 = eigenValReal1(1);
+    	e03 = eigenValReal1(2);
+
+    	// Make sure rightEigenVect1 is aligned with rightEigenVect2
+    	STensorOperation::alignEigenDecomposition_NormBased(Ai0[i],Ee,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+    	// STensorOperation::alignEigenDecomposition_EigenVectorDotProductBased(eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+        rightEigenVect1 = AlignedRightEigenVect1;
+
+    	STensorOperation::zero(dAi0sdEe[i]);
+    	// STensorOperation::zero(dCedCe);
+    	STensorOperation::zero(Ai0s[i]);
+    	for(int p=0; p<3; p++)
+    		for(int j=0; j<3; j++){
+    			Ai0s[i](p,j) += e01*E1(p,j) + e02*E2(p,j) + e03*E3(p,j);
+    			for(int k=0; k<3; k++)
+    				for(int l=0; l<3; l++){
+    					dAi0sdEe[i](p,j,k,l) += e01*dE1da(p,j,k,l) + e02*dE2da(p,j,k,l) + e03*dE3da(p,j,k,l);
+    					// dCedCe(p,j,k,l) += dc1da(p,j)*C1(k,l) + dc2da(p,j)*C2(k,l) + dc3da(p,j)*C3(k,l) + c1*dC1da(p,j,k,l) + c2*dC2da(p,j,k,l) + c3*dC3da(p,j,k,l);  // Should be equal to _I4
+    				}
+    		}
+    }
+}
+
+void mlawNonLinearTVM::getAi0s2(const STensor3& Ce, const STensor3& Ee, const int& index1, const int& index2, const int& index3,
+								const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	static fullVector<double> eigenValReal1(3); eigenValReal1.setAll(0.);
+	double e01_s,e02_s,e03_s,e01,e02,e03,e1,e2,e3; // eigenvalues
+	static STensor3 E01,E02,E03,E1,E2,E3; // bases
+	static STensor3 de1da,de2da,de3da; // eigenvalue derivatives
+	static STensor43 dE1da,dE2da,dE3da; // bases derivatives
+
+	double det = STensorOperation::determinantSTensor3(Ee);
+	if(det!=0.){
+		STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3,de1da,de2da,de3da,dE1da,dE2da,dE3da);
+
+		// Loop
+		for (int i=0; i<_Gi.size(); i++){
+
+			// Assign
+			STensorOperation::getEigenDecomposition(Ai0[i],e01,e02,e03,E01,E02,E03);
+			eigenValReal1(0) = e01; eigenValReal1(1) = e02; eigenValReal1(2) = e03;
+
+			// Reassign
+			e01_s = eigenValReal1(index1); e02_s = eigenValReal1(index2); e03_s = eigenValReal1(index3);
+
+			STensorOperation::zero(dAi0sdEe[i]);
+			// STensorOperation::zero(dEedEe);
+			STensorOperation::zero(Ai0s[i]);
+			for(int p=0; p<3; p++)
+				for(int j=0; j<3; j++){
+					Ai0s[i](p,j) += e01_s*E1(p,j) + e02_s*E2(p,j) + e03_s*E3(p,j);
+					for(int k=0; k<3; k++)
+						for(int l=0; l<3; l++){
+							dAi0sdEe[i](p,j,k,l) += e01_s*dE1da(p,j,k,l) + e02_s*dE2da(p,j,k,l) + e03_s*dE3da(p,j,k,l);
+							// dEedEe(p,j,k,l) += de1da(p,j)*E1(k,l) + de2da(p,j)*E2(k,l) + de3da(p,j)*E3(k,l) + e1*dE1da(p,j,k,l) + e2*dE2da(p,j,k,l) + e3*dE3da(p,j,k,l);  // Should be equal to _I4
+						}
+				}
+		}
+
+	}
+	else{
+		STensorOperation::zero(de1da); STensorOperation::zero(de2da); STensorOperation::zero(de3da); STensorOperation::zero(dE1da); STensorOperation::zero(dE2da); STensorOperation::zero(dE3da);
+	}
+}
+
+void mlawNonLinearTVM::get_Ee0s_Ai0s_ders(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, const std::vector<STensor3>& Ai0, const fullVector<int>& alignedIndex,
+								STensor3& Ee0s, STensor43& dEe0sdEe, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee, Ai0 becomes Ai0s
+
+	static fullVector<double> eigenValReal1(3); eigenValReal1.setAll(0.);
+	double e01,e02,e03,ai1,ai2,ai3,e1,e2,e3; // eigenvalues
+	double e01_s,e02_s,e03_s,ai1_s,ai2_s,ai3_s; // eigenvalues_rotated
+	static STensor3 E01,E02,E03,Ai1,Ai2,Ai3,E1,E2,E3; // bases
+	static STensor3 de1da,de2da,de3da; // eigenvalue derivatives
+	static STensor43 dE1da,dE2da,dE3da; // bases derivatives
+
+	STensorOperation::getEigenDecomposition(Ee0,e01,e02,e03,E01,E02,E03);
+
+	double det = STensorOperation::determinantSTensor3(Ee);
+	if(det!=0.){
+		STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3,de1da,de2da,de3da,dE1da,dE2da,dE3da);
+
+		// Align Ee0 and get its derivative
+
+		// Assign
+		STensorOperation::getEigenDecomposition(Ee0,e01,e02,e03,E01,E02,E03);
+		eigenValReal1(0) = e01; eigenValReal1(1) = e02; eigenValReal1(2) = e03;
+
+		// Reassign aligned eigVal
+		e01_s = eigenValReal1(alignedIndex(0)); e02_s = eigenValReal1(alignedIndex(1)); e03_s = eigenValReal1(alignedIndex(2));
+
+		static STensor43 dEedEe;
+		STensorOperation::zero(dEe0sdEe);
+		STensorOperation::zero(dEedEe);
+		STensorOperation::zero(Ee0s);
+		for(int i=0; i<3; i++)
+		  for(int j=0; j<3; j++){
+			Ee0s(i,j) += e01_s*E1(i,j) + e02_s*E2(i,j) + e03_s*E3(i,j);
+			for(int k=0; k<3; k++)
+			  for(int l=0; l<3; l++){
+				  dEe0sdEe(i,j,k,l) += e01_s*dE1da(i,j,k,l) + e02_s*dE2da(i,j,k,l) + e03_s*dE3da(i,j,k,l);
+				  dEedEe(i,j,k,l) += de1da(i,j)*E1(k,l) + de2da(i,j)*E2(k,l) + de3da(i,j)*E3(k,l) + e1*dE1da(i,j,k,l) + e2*dE2da(i,j,k,l) + e3*dE3da(i,j,k,l);  // Should be equal to _I4
+			  }
+		  }
+
+		static STensor43 check;
+		check = dEedEe;
+		check -= _I4;
+
+		// Loop
+		for (int i=0; i<_Gi.size(); i++){
+
+			// Assign
+			STensorOperation::getEigenDecomposition(Ai0[i],ai1,ai2,ai3,Ai1,Ai2,Ai3);
+			eigenValReal1(0) = ai1; eigenValReal1(1) = ai2; eigenValReal1(2) = ai3;
+
+			// Reassign aligned eigVal
+			ai1_s = eigenValReal1(alignedIndex(0)); ai2_s = eigenValReal1(alignedIndex(1)); ai3_s = eigenValReal1(alignedIndex(2));
+
+			STensorOperation::zero(Ai0s[i]);
+			STensorOperation::zero(dAi0sdEe[i]);
+			for(int p=0; p<3; p++)
+				for(int j=0; j<3; j++){
+					Ai0s[i](p,j) += ai1_s*E1(p,j) + ai2_s*E2(p,j) + ai3_s*E3(p,j);
+					for(int k=0; k<3; k++)
+						for(int l=0; l<3; l++)
+							dAi0sdEe[i](p,j,k,l) += ai1_s*dE1da(p,j,k,l) + ai2_s*dE2da(p,j,k,l) + ai3_s*dE3da(p,j,k,l);
+				}
+		}
+
+	}
+	else{
+		STensorOperation::zero(de1da); STensorOperation::zero(de2da); STensorOperation::zero(de3da); STensorOperation::zero(dE1da); STensorOperation::zero(dE2da); STensorOperation::zero(dE3da);
+		STensorOperation::zero(dEe0sdEe);
+		Ee0s = Ee0;
+		for (int i=0; i<_Gi.size(); i++){
+			Ai0s[i] = Ai0[i];
+			STensorOperation::zero(dAi0sdEe[i]);
+		}
+	}
+}
+
+void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0,
+          	  							const IPNonLinearTVM *q0, IPNonLinearTVM *q1, double& Ke, double& Ge, const double T0, const double T1,
+										const bool stiff, const fullVector<int>& alignedIndex, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2, STensor43* rotationStiffness) const{
+
+	// Caution!! -> For _rotationCorrectionScheme == 0 and 1,  Ee0 is already rotated. _R and its derivatives are in the IP
 
     //
     STensorOperation::zero(Bd_stiffnessTerm);
@@ -2850,6 +3375,50 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
     if(Bd_stiffnessTerm2!= NULL){
         STensorOperation::zero(*Bd_stiffnessTerm2);
     }
+
+    // NEW EIGEN
+    static STensor3 devEe0, devEe0s; double trEe0;
+    STensorOperation::zero(devEe0s);
+    STensorOperation::decomposeDevTr(q0->_Ee,devEe0,trEe0);
+
+    static STensor43 dDevEe0sdEe;
+    STensorOperation::zero(dDevEe0sdEe);
+    std::vector<STensor43> rotationDer1, rotationDer2, dAi0sdEe;
+    rotationDer1.clear(); rotationDer2.clear(); dAi0sdEe.clear();
+    for (int i=0; i<_Gi.size(); i++){
+      STensor43 el43(0.);
+      dAi0sdEe.push_back(el43);
+      rotationDer1.push_back(el43);
+      rotationDer2.push_back(el43);
+    }
+
+    if (_rotationCorrectionScheme == 0 && _rotationCorrectionScheme == 1){
+    	if ((_Ki.size() > 0) or (_Gi.size() > 0)){
+    		for (int i=0; i<_Gi.size(); i++){
+    			for(int k=0; k<3; k++)
+    				for(int l=0; l<3; l++){
+    					q1->_A_rot[i](k,l) = 0.;
+    					for(int p=0; p<3; p++)
+    						for(int q=0; q<3; q++)
+    							q1->_A_rot[i](k,l) += q1->_R(k,p)*q0->_A[i](p,q)*q1->_R(l,q);
+    				}
+    		}
+    	}
+    }
+    else if (_rotationCorrectionScheme == 2){
+        // devEe0.print("before");
+    	// mlawNonLinearTVM::getEe0s2(Ce,Ee,devEe0,devEe0s,dDevEe0sdEe);
+    	q1->_A_rot = q0->_A;
+    	// mlawNonLinearTVM::getAi0s2(Ce,Ee,q0->_A,q1->_A_rot,dAi0sdEe);
+    	mlawNonLinearTVM::get_Ee0s_Ai0s_ders(Ce,Ee,devEe0,q0->_A,alignedIndex,devEe0s,dDevEe0sdEe,q1->_A_rot,dAi0sdEe);
+        // devEe0s.print("after");
+        // Msg::Error("alignedIndex = %d, %d, %d",alignedIndex(0),alignedIndex(1),alignedIndex(2));
+    }
+
+    if(rotationStiffness!= NULL){
+        STensorOperation::zero(*rotationStiffness);
+    }
+    // NEW EIGEN
     
     // Set Temperature to calculate temperature updated properties
     double T_set = setTemp(T0,T1,1);  // 1->T1, 2->T_mid, 3->T_midshift
@@ -2868,6 +3437,10 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
     DE -= Ee0;
     STensorOperation::decomposeDevTr(DE,devDE,trDE);
     STensorOperation::decomposeDevTr(Ee,devEe,trEe);
+    if (_rotationCorrectionScheme == 2){
+    	devDE = devEe;
+    	devDE -= devEe0s;
+    }
 
     // Initialise effective trEe - include thermal expansion
     double eff_trEe(0.), eff_trDE(0.);
@@ -2885,7 +3458,7 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
     
     // Initialise Moduli
     Ke = KT; Ge = GT;
-    
+
     if(_useExtraBranch){
         
         double A(0.), B(0.), dA_dTrEe(0.), psiInfCorrector(0.);
@@ -2992,7 +3565,8 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
                 // Single Convolution
                 for (int k=0; k<3; k++)
                     for (int l=0; l<3; l++){
-                        q1->_A[i](k,l) = exp_rec_g*q0->_A[i](k,l) + exp_mid_g*devDE(k,l);
+                    	// q1->_A[i](k,l) = exp_rec_g*q0->_A[i](k,l) + exp_mid_g*devDE(k,l);
+                        q1->_A[i](k,l) = exp_rec_g*q1->_A_rot[i](k,l) + exp_mid_g*devDE(k,l); // NEW EIGEN
                     }
             
                 q1->_B[i] = exp_rec_k*q0->_B[i] + exp_mid_k*eff_trDE ; //*trDE; NEW
@@ -3002,6 +3576,39 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
             
                 // Add to volumetric stress
                 p += _Ki[i]*q1->_B[i];
+
+                // NEW EIGEN
+                // Add rotation derivatives
+                /*static STensor43 dAi0sdEe;
+                if (_rotationCorrectionScheme == 2){
+                	mlawNonLinearTVM::getdEe0dEe(Ce,Ee,q0->_A[i],dAi0sdEe);
+                }*/
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++){
+                    	if (_rotationCorrectionScheme == 2){
+                    		rotationDer1[i](k,l,p,q) += dAi0sdEe[i](k,l,p,q);
+                    		rotationDer2[i](k,l,p,q) += (-dDevEe0sdEe(k,l,p,q));
+                    		// (*rotationStiffness)(k,l,p,q) +=  2*_Gi[i]*( exp_rec_g*dAi0sdEe(k,l,p,q) - exp_mid_g*dDevEe0sdEe(k,l,p,q) );
+                    	}
+                        for (int r=0; r<3; r++)
+                          for (int s=0; s<3; s++){
+                            if (_rotationCorrectionScheme == 1){
+                            	rotationDer1[i](k,l,p,q) +=  ( q1->_dRdEe(k,r,p,q)*q0->_A[i](r,s)*q1->_R(l,s) + q1->_R(k,r)*q0->_A[i](r,s)*q1->_dRtdEe(s,l,p,q) );
+								rotationDer2[i](k,l,p,q) +=  ( - q1->_dRdEe(k,r,p,q)*devEe0(r,s)*q1->_R(l,s) - q1->_R(k,r)*devEe0(r,s)*q1->_dRtdEe(s,l,p,q) ) ;
+                            	/*(*rotationStiffness)(k,l,p,q) +=  2*_Gi[i]*( exp_rec_g*( q1->_dRdEe(k,r,p,q)*q0->_A[i](r,s)*q1->_R(l,s) + q1->_R(k,r)*q0->_A[i](r,s)*q1->_dRtdEe(s,l,p,q) )
+                            						+  exp_mid_g*( - q1->_dRdEe(k,r,p,q)*devEe0(r,s)*q1->_R(l,s) - q1->_R(k,r)*devEe0(r,s)*q1->_dRtdEe(s,l,p,q) ) );*/
+                            }
+                          }
+                      }
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++)
+                    	(*rotationStiffness)(k,l,p,q) +=  2*_Gi[i]*( exp_rec_g*rotationDer1[i](k,l,p,q) + exp_mid_g*rotationDer2[i](k,l,p,q) );
+                // NEW EIGEN
+
             }
             else{ // all extraBranches
                 
@@ -3041,8 +3648,10 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
                     
                 // Single Convolution - get branchElasticStrain
                 for (int k=0; k<3; k++)
-                    for (int l=0; l<3; l++)
-                        q1->_A[i](k,l) = exp_rec_g*q0->_A[i](k,l) + exp_mid_g*devDE(k,l);
+                    for (int l=0; l<3; l++){
+                    	// q1->_A[i](k,l) = exp_rec_g*q0->_A[i](k,l) + exp_mid_g*devDE(k,l);
+                        q1->_A[i](k,l) = exp_rec_g*q1->_A_rot[i](k,l) + exp_mid_g*devDE(k,l); // NEW EIGEN
+                    }
             
                 q1->_B[i] = exp_rec_k*q0->_B[i] + exp_mid_k*eff_trDE; // trDE; // NEW
                     
@@ -3093,6 +3702,57 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
             
                 // Add to volumetric stress
                 p += ( _Ki[i]*Av*q1->_B[i] );
+
+                // NEW EIGEN
+                // Add rotation derivatives
+                /*static STensor43 dAi0sdEe;
+                if (_rotationCorrectionScheme == 2){
+                	mlawNonLinearTVM::getdEe0dEe(Ce,Ee,q0->_A[i],dAi0sdEe);
+                }*/
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    for (int p=0; p<3; p++)
+                      for (int q=0; q<3; q++){
+                    	if (_rotationCorrectionScheme == 2){
+                    		rotationDer1[i](k,l,p,q) += dAi0sdEe[i](k,l,p,q);
+                    		rotationDer2[i](k,l,p,q) += (-dDevEe0sdEe(k,l,p,q));
+                    		// (*rotationStiffness)(k,l,p,q) +=  2*_Gi[i]*Bd*( exp_rec_g*dAi0sdEe(k,l,p,q) - exp_mid_g*dDevEe0sdEe(k,l,p,q) );
+                    	}
+                        for (int r=0; r<3; r++)
+                          for (int s=0; s<3; s++){
+                        	if (_rotationCorrectionScheme == 1){
+                            	rotationDer1[i](k,l,p,q) +=  ( q1->_dRdEe(k,r,p,q)*q0->_A[i](r,s)*q1->_R(l,s) + q1->_R(k,r)*q0->_A[i](r,s)*q1->_dRtdEe(s,l,p,q) );
+								rotationDer2[i](k,l,p,q) +=  ( - q1->_dRdEe(k,r,p,q)*devEe0(r,s)*q1->_R(l,s) - q1->_R(k,r)*devEe0(r,s)*q1->_dRtdEe(s,l,p,q) ) ;
+                        		/*(*rotationStiffness)(k,l,p,q) += 2.*_Gi[i]*Bd*( exp_rec_g*( q1->_dRdEe(k,r,p,q)*q0->_A[i](r,s)*q1->_R(l,s) + q1->_R(k,r)*q0->_A[i](r,s)*q1->_dRtdEe(s,l,p,q) )
+                            							+  exp_mid_g*( - q1->_dRdEe(k,r,p,q)*devEe0(r,s)*q1->_R(l,s) - q1->_R(k,r)*devEe0(r,s)*q1->_dRtdEe(s,l,p,q) ) );*/
+                        	}
+
+                        	if (_rotationCorrectionScheme == 2){
+                        		// Ignore this term - ADDED on 20/06
+                        		// (*rotationStiffness)(k,l,p,q) += 2.*_Gi[i]*q1->_A[i](k,l)*dB_dDevEe(r,s) * ( exp_rec_g*dAi0sdEe[i](r,s,p,q) - exp_mid_g*dDevEe0sdEe(r,s,p,q) );
+                        	}
+                            for (int m=0; m<3; m++)
+                              for (int n=0; n<3; n++){
+                            	if (_rotationCorrectionScheme == 1){
+                            		// Ignore this term - ADDED on 20/06
+                            		/*(*rotationStiffness)(k,l,p,q) += 2.*_Gi[i]*q1->_A[i](k,l)*dB_dDevEe(r,s) * (exp_rec_g*( q1->_dRdEe(r,m,p,q)*q0->_A[i](m,n)*q1->_R(s,n) + q1->_R(r,m)*q0->_A[i](m,n)*q1->_dRtdEe(n,s,p,q) )
+        								+  exp_mid_g*( - q1->_dRdEe(r,m,p,q)*devEe0(m,n)*q1->_R(s,n) - q1->_R(r,m)*devEe0(m,n)*q1->_dRtdEe(n,s,p,q) ));*/
+                            	}
+                              }
+                          }
+                      }
+
+                for (int k=0; k<3; k++)
+                  for (int l=0; l<3; l++)
+                    for (int r=0; r<3; r++)
+                      for (int s=0; s<3; s++){
+                      	(*rotationStiffness)(k,l,r,s) +=  2*_Gi[i]*Bd*( exp_rec_g*rotationDer1[i](k,l,r,s) + exp_mid_g*rotationDer2[i](k,l,r,s) );
+                    	for (int p=0; p<3; p++)
+                          for (int q=0; q<3; q++){
+                        	(*rotationStiffness)(k,l,r,s) += 2.*_Gi[i]*q1->_A[i](k,l)*dB_dDevEe(p,q)*( exp_rec_g*rotationDer1[i](p,q,r,s) + exp_mid_g*rotationDer2[i](p,q,r,s) );
+                          }
+                      }
+                // NEW EIGEN
              }
              
             } // all extrabranches
@@ -3158,6 +3818,15 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
                                     // _Idev is pre-multiplied !!
                                     DA_DdevE[i](k,l,r,s) =  exp_mid_g*_Idev(k,l,r,s);  
                                     DDA_DTDdevE[i](k,l,r,s) =  Dexp_mid_g_DT*_Idev(k,l,r,s);  
+
+                                    // NEW EIGEN
+                                    if ( _useRotationCorrection == true){
+                                    	if(_rotationCorrectionScheme == 1 && _rotationCorrectionScheme == 2){
+                                    		DA_DdevE[i](k,l,r,s) += ( exp_rec_g*rotationDer1[i](k,l,r,s) + exp_mid_g*rotationDer2[i](k,l,r,s) );
+                                    		DDA_DTDdevE[i](k,l,r,s) += ( Dexp_rec_g_DT*rotationDer1[i](k,l,r,s) + Dexp_mid_g_DT*rotationDer2[i](k,l,r,s) );
+                                    	}
+                                    }
+                                    // NEW EIGEN
                                 }
                         }
                 }
@@ -3234,6 +3903,18 @@ void mlawNonLinearTVM::ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, co
                                     for (int p=0; p<3; p++)
                                         for (int q=0; q<3; q++){
                                             DDA_DTDdevE[i](k,l,r,s) += exp_mid_g * q1->_dBd_dDevEe_TVE_vector[i](p,q)*dDevEei_DT(p,q)*_I4(k,l,r,s);
+
+
+                                            // NEW EIGEN
+                                            if ( _useRotationCorrection == true){
+                                            	if(_rotationCorrectionScheme == 1 && _rotationCorrectionScheme == 2){
+                                            		DA_DdevE[i](k,l,r,s) +=  ( q1->_A[i](k,l)*q1->_dBd_dDevEe_TVE_vector[i](p,q) + q1->_Bd_TVE_vector[i] * _I4(k,l,p,q) ) *
+                                                									( exp_rec_g*rotationDer1[i](p,q,r,s) + exp_mid_g*rotationDer2[i](p,q,r,s) );
+                                            			DDA_DTDdevE[i](k,l,r,s) += ( q1->_A[i](k,l)*q1->_dBd_dDevEe_TVE_vector[i](p,q) + q1->_Bd_TVE_vector[i] * _I4(k,l,p,q) ) *
+                                                    								( Dexp_rec_g_DT*rotationDer1[i](p,q,r,s) + Dexp_mid_g_DT*rotationDer2[i](p,q,r,s) );
+                                            	}
+                                            }
+                                            // NEW EIGEN
                                         }
                                 }
                         }
@@ -3342,6 +4023,91 @@ double mlawNonLinearTVM::soundSpeed() const {   // Correct this for current temp
     return sqrt((_K+4.*_G/3.)/_rho);
 }
 
+void mlawNonLinearTVM::getAi0s(const STensor3& Ce, const STensor3& Ee, const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const{
+
+	// Ee0 becomes Ee0_star expressed in the same configuration as Ee
+
+	double e01,e02,e03, e1,e2,e3, c1,c2,c3; // eigenvalues
+	static STensor3 E01,E02,E03,E1,E2,E3,C1,C2,C3; // bases
+	static STensor3 dc1da,dc2da,dc3da; // eigenvalue derivatives
+	static STensor43 dC1da,dC2da,dC3da; // bases derivatives
+
+	STensorOperation::getEigenDecomposition(Ee,e1,e2,e3,E1,E2,E3);
+	STensorOperation::getEigenDecomposition(Ce,c1,c2,c3,C1,C2,C3,dc1da,dc2da,dc3da,dC1da,dC2da,dC3da);
+	if(c1==0.) {STensorOperation::zero(dC1da);}
+	if(c2==0.) {STensorOperation::zero(dC2da);}
+	if(c3==0.) {STensorOperation::zero(dC3da);}
+
+
+	// #####
+	// Align the eigenVals of Ee0 with Ee
+	static fullMatrix<double> m1(3, 3), m2(3, 3);
+	static fullVector<double> eigenValReal1(3), eigenValReal2(3), AlignedEigenValReal1(3);
+	static fullVector<double> eigenValImag1(3), eigenValImag2(3);
+	static fullMatrix<double> leftEigenVect1(3,3), leftEigenVect2(3,3);
+	static fullMatrix<double> rightEigenVect1(3,3), rightEigenVect2(3,3), AlignedRightEigenVect1(3,3);
+	m1.setAll(0.); m2.setAll(0.);
+	eigenValReal1.setAll(0.); eigenValReal2.setAll(0.); AlignedEigenValReal1.setAll(0.);
+	eigenValImag1.setAll(0.); eigenValImag2.setAll(0.);
+	leftEigenVect1.setAll(0.); leftEigenVect2.setAll(0.);
+	rightEigenVect1.setAll(0.); rightEigenVect2.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+
+	// Get eigen values and vectors
+	Ce.getMat(m2); m2.eig(eigenValReal2,eigenValImag2,leftEigenVect2,rightEigenVect2,false);
+
+	// conversion tensor to dEe0sdEe
+    static STensor3 Ee2, exp_Ee2;
+    static STensor43 dCedEe;
+	STensorOperation::zero(dCedEe);
+    Ee2 = Ee;
+    Ee2 *= 2;
+    STensorOperation::expSTensor3(Ee2,_order,exp_Ee2,&dCedEe);
+
+    // Loop
+    for (int i=0; i<_Gi.size(); i++){
+
+    	// Get eigen values and vectors
+    	m1.setAll(0.); eigenValReal1.setAll(0.); eigenValImag1.setAll(0.); leftEigenVect1.setAll(0.); rightEigenVect1.setAll(0.); AlignedRightEigenVect1.setAll(0.);
+    	STensorOperation::getEigenDecomposition(Ai0[i],e01,e02,e03,E01,E02,E03);
+    	Ai0[i].getMat(m1);
+    	m1.eig(eigenValReal1,eigenValImag1,leftEigenVect1,rightEigenVect1,false);
+
+
+    	// eigenvalues
+    	e01 = eigenValReal1(0);
+    	e02 = eigenValReal1(1);
+    	e03 = eigenValReal1(2);
+
+    	// Make sure rightEigenVect1 is aligned with rightEigenVect2
+    	STensorOperation::alignEigenDecomposition_NormBased(Ai0[i],Ce,eigenValReal1,eigenValReal2,rightEigenVect1,rightEigenVect2, e01, e02, e03, AlignedRightEigenVect1);
+        rightEigenVect1 = AlignedRightEigenVect1;
+
+    	static STensor43 dAi0sdCe; // , dCedCe;
+    	STensorOperation::zero(dAi0sdCe);
+    	// STensorOperation::zero(dCedCe);
+    	STensorOperation::zero(Ai0s[i]);
+    	for(int p=0; p<3; p++)
+    		for(int j=0; j<3; j++){
+    			Ai0s[i](p,j) += e01*C1(p,j) + e02*C2(p,j) + e03*C3(p,j);
+    			for(int k=0; k<3; k++)
+    				for(int l=0; l<3; l++){
+    					dAi0sdCe(p,j,k,l) += e01*dC1da(p,j,k,l) + e02*dC2da(p,j,k,l) + e03*dC3da(p,j,k,l);
+    					// dCedCe(p,j,k,l) += dc1da(p,j)*C1(k,l) + dc2da(p,j)*C2(k,l) + dc3da(p,j)*C3(k,l) + c1*dC1da(p,j,k,l) + c2*dC2da(p,j,k,l) + c3*dC3da(p,j,k,l);  // Should be equal to _I4
+    				}
+    		}
+
+    	// debug
+    	STensorOperation::getEigenDecomposition(Ai0s[i],e01,e02,e03,E01,E02,E03);
+
+    	/*
+    	static STensor43 check;
+    	check = dCedCe;
+    	check -= _I4;*/
+
+    	STensorOperation::multSTensor43(dAi0sdCe,dCedEe,dAi0sdEe[i]);
+    }
+}
+
 // Older definition of non-linear mechSrc
 /*
 void mlawNonLinearTVM::getMechSource_nonLinearTVE_term(const IPNonLinearTVM *q0, IPNonLinearTVM *q1, const double& T0, const double& T, 
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVM.h b/NonLinearSolver/materialLaw/mlawNonLinearTVM.h
index 245bf095e0800c64167a3399bab7340f385fc247..7d73767c0408284fe6bb1d36490c25e83f2d17e3 100644
--- a/NonLinearSolver/materialLaw/mlawNonLinearTVM.h
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVM.h
@@ -62,6 +62,8 @@ class mlawNonLinearTVM : public mlawPowerYieldHyper{
     elasticPotential* _elasticPotential; 
     bool _useExtraBranch;
     bool _useExtraBranch_TVE;
+    bool _useRotationCorrection;
+    int _rotationCorrectionScheme;
     int _ExtraBranch_TVE_option;
     scalarFunction* _temFunc_elasticCorrection_Bulk;
     scalarFunction* _temFunc_elasticCorrection_Shear;
@@ -117,15 +119,29 @@ class mlawNonLinearTVM : public mlawPowerYieldHyper{
 
     void corKirInfinity(const IPNonLinearTVM *q1, const STensor3& devEe, const double& trEe, const double T, STensor3& CorKirDevInf, double& CorKirTrInf) const;
     
+    void rotationTensor_N_to_Nplus1(const STensor3& Ee00, const STensor3& Fe0, const STensor3& Fe, const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0,
+    												STensor3& R, STensor43& dRdEe, STensor43& dRtdEe) const;
+
+    void getdRedEe(const STensor3& Fe, const STensor3& Ce, const STensor43& dEedFe, const STensor43& dEedCe, STensor3& Ue, STensor3& Re, STensor43& dRedEe) const;
+    void getdUedCe(const STensor3& Ce, const STensor3& Ue, STensor43& dUedCe) const;
+    void getEe0s(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, STensor3& Ee0s, STensor43& dEe0sdEe) const;
+    void getAi0s(const STensor3& Ce, const STensor3& Ee, const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const;
+
+    void getEe0s2(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, int& index1, int& index2, int& index3, STensor3& Ee0s, STensor43& dEe0sdEe) const;
+    void getAi0s2(const STensor3& Ce, const STensor3& Ee, const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const;
+    void getAi0s2(const STensor3& Ce, const STensor3& Ee, const int& index1, const int& index2, const int& index3, const std::vector<STensor3>& Ai0, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const;
+    void getdEe0dEe(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, STensor43& dEe0sdEe) const;
+    void get_Ee0s_Ai0s_ders(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0, const std::vector<STensor3>& Ai0, const fullVector<int>& alignedIndex,
+    								STensor3& Ee0s, STensor43& dEe0sdEe, std::vector<STensor3>& Ai0s, std::vector<STensor43>& dAi0sdEe) const;
+
     void ThermoViscoElasticPredictor(const STensor3& Ee, const STensor3& Ee0,
-          const IPNonLinearTVM *q0, IPNonLinearTVM *q1,
-          double& Ke, double& Ge, double& DKDTsum, double& DGDTsum,
-          const double T0, const double T1, const bool stiff, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2 = NULL) const;
-          
-    void ThermoViscoElasticPredictor_forTVP(const STensor3& Ee, const STensor3& Ee0,
           const IPNonLinearTVM *q0, IPNonLinearTVM *q1,
           double& Ke, double& Ge,
           const double T0, const double T1, const bool stiff, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2 = NULL) const;
+          
+    void ThermoViscoElasticPredictor_forTVP(const STensor3& Ce, const STensor3& Ee, const STensor3& Ee0,
+          const IPNonLinearTVM *q0, IPNonLinearTVM *q1,  double& Ke, double& Ge, const double T0, const double T1,
+		  const bool stiff,  const fullVector<int>& alignedIndex, STensor43& Bd_stiffnessTerm, STensor43* Bd_stiffnessTerm2 = NULL, STensor43* rotationStiffness = NULL) const;
               
     void isotropicHookTensor(const double K, const double G, STensor43& L) const;
                                   
@@ -214,6 +230,8 @@ class mlawNonLinearTVM : public mlawPowerYieldHyper{
     virtual void useExtraBranchBool(const bool useExtraBranch){_useExtraBranch = useExtraBranch;};
     virtual void useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option){
                                                 _useExtraBranch_TVE = useExtraBranch_TVE; _ExtraBranch_TVE_option = ExtraBranch_TVE_option;};
+    virtual void useRotationCorrectionBool(const bool useRotationCorrection, const int rotationCorrectionScheme){_useRotationCorrection = useRotationCorrection;
+    																						_rotationCorrectionScheme = rotationCorrectionScheme;};
     void setTemperatureFunction_BulkModulus(const scalarFunction& Tfunc){
      if (_temFunc_K != NULL) delete _temFunc_K;
       _temFunc_K = Tfunc.clone();
diff --git a/NonLinearSolver/materialLaw/mlawNonLinearTVP.cpp b/NonLinearSolver/materialLaw/mlawNonLinearTVP.cpp
index 8c38474fb3228fbdaa1fe44c6cb93371ab87fa3e..0b0191953c5d0a561c9bdcbaf53255f873826972 100644
--- a/NonLinearSolver/materialLaw/mlawNonLinearTVP.cpp
+++ b/NonLinearSolver/materialLaw/mlawNonLinearTVP.cpp
@@ -471,7 +471,7 @@ void mlawNonLinearTVP::getMechSourceTVP(const STensor3& F0, const STensor3& F,
     const double& gamma0 = q0->_epspbarre;
     const double& gamma1 = q1->_epspbarre;
     const STensor3& Fp1 = q1->_Fp;
-    const STensor3& Me = q1->_ModMandel;
+    const STensor3& Me = q1->_kirchhoff; // q1->_ModMandel; // debug
     const STensor3& X = q1->_backsig;
     const STensor3& dXdT = q1->_DbackSigDT;
     const STensor43& dXdF  =  q1->_DbackSigDF;
@@ -920,7 +920,7 @@ void mlawNonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow(const STensor3&
   double DKe, DGe = 0.; double DKde, DGde = 0.; double DKDTsum, DGDTsum = 0.;
   static STensor43 Bd_stiffnessTerm;
   // ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,Kde,Gde,DKe,DGe,DKde,DGde,KTsum,GTsum,DKDTsum,DGDTsum,T0,T);
-  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm);
+  mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
   mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T);
 
   // additional branch - update predictor
@@ -1257,10 +1257,10 @@ void mlawNonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow(const STensor3&
     Ee *= 0.5;
 
     // Correct A, B
-    // ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,Kde,Gde,DKe,DGe,DKde,DGde,KTsum,GTsum,DKDTsum,DGDTsum,T0,T); //,false);
-    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm); //,false);
+    // ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,Kde,Gde,DKe,DGe,DKde,DGde,KTsum,GTsum,DKDTsum,DGDTsum,T0,T); //,false);  - DEPRECATED
+    mlawNonLinearTVM::ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm); //,false);
     mlawNonLinearTVM::getTVEdCorKirDT(q0,q1,T0,T); // update dCorKirdT - don't do this probably
-    // DKDTsum and DGDTsum = sum of bulk/shear moduli derivatives wrt T
+    // DKDTsum and DGDTsum = sum of bulk/shear moduli derivatives wrt T - DEPRECATED
 
     // Correct Extrabranch - update stress
     if (_useExtraBranch){
@@ -1417,7 +1417,7 @@ void mlawNonLinearTVP::predictorCorrector_TVP_nonAssociatedFlow(const STensor3&
   }
   
   // 2) Viscoelastic Contribution to mechSrc
-  // mlawNonLinearTVE::getMechSourceTVE(q0,q1,T0,T,DKDTsum,DGDTsum,_I4,&Wm_TVE); // mechSourceTVE
+  // mlawNonLinearTVE::getMechSourceTVE(q0,q1,T0,T,_I4,&Wm_TVE); // mechSourceTVE
   double& dWmdT_TVE = q1->getRefTodMechSrcTVEdT();
   STensor3& dWmdF_TVE = q1->getRefTodMechSrcTVEdF();
   static STensor3 dWmdE_TVE;
@@ -2904,11 +2904,11 @@ void mlawNonLinearTVP::predictorCorrector_TVP_AssociatedFlow(const STensor3& F,
 
   // update A, B
   // double Ge, Ke;
-  double Ke, Ge = 0.; double Kde, Gde = 0.; double KTsum, GTsum = 0.;
-  double DKe, DGe = 0.; double DKde, DGde = 0.; double DKDTsum, DGDTsum = 0.; 
+  double Ke(0.), Ge(0.);
+  double DKDTsum, DGDTsum = 0.; // Deprecated
   static STensor43 Bd_stiffnessTerm;
   // ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,Kde,Gde,DKe,DGe,DKde,DGde,KTsum,GTsum,DKDTsum,DGDTsum,T0,T);
-  ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,stiff,Bd_stiffnessTerm);
+  ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,stiff,Bd_stiffnessTerm);
 
   static STensor3 devKpr; // dev corotational kirchoff stress predictor
   static double ppr; // pressure predictor
@@ -3088,7 +3088,7 @@ void mlawNonLinearTVP::predictorCorrector_TVP_AssociatedFlow(const STensor3& F,
 
       //
       // ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,Kde,Gde,DKe,DGe,DKde,DGde,KTsum,GTsum,DKDTsum,DGDTsum,T0,T,false);
-      ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,DKDTsum,DGDTsum,T0,T,false,Bd_stiffnessTerm);
+      ThermoViscoElasticPredictor(Ee,q0->_Ee,q0,q1,Ke,Ge,T0,T,false,Bd_stiffnessTerm);
     }
     else{
       q1->getRefToDissipationActive() = false;
diff --git a/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.cpp b/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.cpp
index e5e99c20b488206ddd17104e22d3fa224338493b..aae4dee5ee94b4bc0b681f3201fa5273f3ad4de9 100644
--- a/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.cpp
+++ b/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.cpp
@@ -2307,43 +2307,471 @@ void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::setYieldParameters(const s
   _aniM.print("anisotropic tensor");
 };
 
-void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_voidCharacteristicsEvolution(const STensor3& kcor, double DeltaHatQ, double DeltaHatP, double DeltaHatD,
-                                                  const IPNonLocalPorosity *q0, IPNonLocalPorosity* q1,
-                                                  bool stiff,
-                                                  std::vector<double>* DyieldfVDVars,
-                                                  STensor3* DyieldfVDsig
+bool mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_withPlastic_aniso(const STensor3& F, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T) const
+{
+  if (getNumOfYieldSurfaces() > 1)
+  {
+    Msg::Error("multiple yield surface does not implemented with this law");
+  }
+  if (_stressFormulation == CORO_KIRCHHOFF)
+  {
+    return I1J2J3_yieldFunction_aniso(kcor,R,q0,q1,T) > _tol; 
+  }
+  else if (_stressFormulation == CORO_CAUCHY)
+  {
+    double J = STensorOperation::determinantSTensor3(F);
+    static STensor3 sig;
+    sig = kcor;
+    sig *= (1./J);
+    return I1J2J3_yieldFunction_aniso(sig,R,q0,q1,T) > _tol; 
+  }
+  else
+  {
+    Msg::Error("stress formuation is not correctly defined !!!");
+    return false;
+  }
+}
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_computeResidual_aniso(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value 
+                                        const STensor3& sig,  const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, 
+                                        const std::vector<double>& Y, // void parameters                                                   
+                                        std::vector<double>& res0, STensor3& res1, double& res2,  
+                                        bool stiff, 
+                                        const STensor43& DsigDDeltaEp, const double H,
+                                        const std::vector<STensor3>& DYDsig, // stress -dependence
+                                        std::vector<STensor3>& Dres0DDeltaEp, STensor43& Dres1DDeltaEp, STensor3& Dres2DDeltaEp,
+                                        std::vector<double>& Dres0DDeltaPlasticMult, std::vector<STensor3>& Dres1DDeltaPlasticMult, std::vector<double>& Dres2DDeltaPlasticMult,
+                                        std::vector<double>& Dres0DDeltaHatP, STensor3& Dres1DDeltaHatP, double& Dres2DDeltaHatP,
+                                        const double* T) const{
+  if (getNumOfYieldSurfaces() > 1)
+  {
+    Msg::Error("multiple yield surface does not implemented with this law");
+  }
+  double f0 = q1->getInitialPorosity();
+  double R0 = _j2IH->getYield0();
+  
+  static STensor3 DyieldDsig;
+  double DyieldDR;
+  std::vector<double> dyieldDY(Y.size());
+  static STensor3 DyieldDDeltaEp;
+  static STensor3 DyieldDFdefo;
+                                  
+  res0[0] = I1J2J3_yieldFunction_aniso(sig,R,q0,q1,T,stiff,&DyieldDsig,&DyieldDR,&dyieldDY,&DyieldDDeltaEp,&DyieldDFdefo);
+  
+  static STensor3 Np;
+  static STensor43 DNpDsig;
+  static STensor3 DNpDR;
+  static std::vector<STensor3> DNpDY(Y.size());
+  static STensor43 DNpDDeltaEp;
+  static STensor43 DNpDFdefo;
+  I1J2J3_getYieldNormal_aniso(Np,sig,R,q0,q1,T,stiff,&DNpDsig,&DNpDR,&DNpDY,&DNpDDeltaEp,&DNpDFdefo);
+    
+  // plastic energy balance
+  res1 = DeltaEp;
+  res1.daxpy(Np,-DeltaPlasticMult[0]);
+  
+  double Jp = 1.;
+  static STensor3 DJpDDeltaEp;
+  // plastic energy balance
+  if (_stressFormulation == CORO_KIRCHHOFF)
+  {
+    // we have
+    // dot(Jp) = (Jp* Fp^{-T}):dot{Fp} = (Jp* Fp^{-T}): (Dp*Fp) = Jp*trace(Dp)
+    // ln(Jp/Jp_0) = trace(DeltaEp)
+    // Jp = Jp_0*exp(trace(DeltaEp))
+    // note that R_{Kirchhoff} = Je*R_{Cauchy}
+    // if no nucleation and shear
+    // (1-f)Jp = 1-f0
+    double Jp0 = STensorOperation::determinantSTensor3(q0->getConstRefToFp());
+    double traceDeltaEp = DeltaEp(0,0)+DeltaEp(1,1)+DeltaEp(2,2);
+    Jp = Jp0*exp(traceDeltaEp);
+    if (stiff)
+    {
+      STensorOperation::diag(DJpDDeltaEp,Jp);
+    }
+  }
+  
+  double yieldf = q1->getYieldPorosity();
+  res2 = (STensorOperation::doubledot(sig,DeltaEp) - (1.-yieldf)*Jp*R*DeltaHatP)/R0;
+  
+  if (stiff){
+    // res0
+    static STensor3 fullDFDsig;
+    fullDFDsig = DyieldDsig;
+    for (int i=0; i< Y.size(); i++)
+    {
+      fullDFDsig.daxpy(DYDsig[i],dyieldDY[i]);
+    }
+    STensorOperation::multSTensor3STensor43(fullDFDsig,DsigDDeltaEp,Dres0DDeltaEp[0]);
+    Dres0DDeltaEp[0] += DyieldDDeltaEp;
+    Dres0DDeltaPlasticMult[0] = 0.;
+    Dres0DDeltaHatP[0] = DyieldDR*H;
+    
+    // res1
+    static STensor43 fullDNpDsig;
+    fullDNpDsig = DNpDsig;
+    for (int i=0; i< Y.size(); i++)
+    {
+      STensorOperation::prodAdd(DNpDY[i],DYDsig[i],1.,fullDNpDsig);
+    }
+    Dres1DDeltaEp = _I4;
+    STensorOperation::multSTensor43Add(fullDNpDsig,DsigDDeltaEp,-DeltaPlasticMult[0],Dres1DDeltaEp);
+    Dres1DDeltaEp.axpy(-DeltaPlasticMult[0], DNpDDeltaEp);
+    
+    Dres1DDeltaPlasticMult[0] = Np;
+    Dres1DDeltaPlasticMult[0] *= (-1.);
+    Dres1DDeltaHatP = DNpDR;
+    Dres1DDeltaHatP *= (-DeltaPlasticMult[0]*H);
+    
+    // res2 is  (sig:DeltaEp - (1.-yieldf)*Jp*R*DeltaHatP)/R0
+    STensorOperation::scale(sig,1./R0,Dres2DDeltaEp);
+    if (_stressFormulation == CORO_KIRCHHOFF)
+    {
+      double partDres2DJp = -(1.-yieldf)*R*DeltaHatP/R0;
+      Dres2DDeltaEp.daxpy(DJpDDeltaEp,partDres2DJp);
+    }
+    
+    double partDres2Dyieldf =Jp*R*DeltaHatP/R0;
+    static STensor3 partDres2Dsig;
+    STensorOperation::scale(DeltaEp,1./R0,partDres2Dsig);
+    partDres2Dsig.daxpy(DYDsig[0],partDres2Dyieldf);
+    STensorOperation::multSTensor3STensor43Add(partDres2Dsig,DsigDDeltaEp,1.,Dres2DDeltaEp);
+    Dres2DDeltaPlasticMult[0] = 0.;
+    Dres2DDeltaHatP = -(1.-yieldf)*Jp*(R+H*DeltaHatP)/R0;
+
+  }
+};
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_computeDResidual_aniso(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value 
+                                  const STensor3& sig, const double R,  const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1,
+                                  const STensor43& DsigDEepr, const double H, const double dwp,
+                                  const std::vector<double>& Y, // void parameters  
+                                  const std::vector<STensor3>& DYDsig,
+                                  const std::vector<std::vector<double> >& DYDnonlocalVars,  const STensor43& EprToF,
+                                  std::vector<std::vector<double> >& Dres0DNonlocalVars, std::vector<STensor3>& Dres0DFdefo,
+                                  std::vector<STensor3>& Dres1DNonlocalVars, STensor43& Dres1DFdefo,
+                                  std::vector<double>& Dres2DNonlocalVars, STensor3& Dres2DFdefo,
+                                  const double* T, const double* DRDT, const STensor3* DsigDT,
+                                  std::vector<double>* Dres0DT, STensor3* Dres1DT, double* Dres2DT) const{
+  if (getNumOfYieldSurfaces() > 1)
+  {
+    Msg::Error("multiple yield surface does not implemented with this law");
+  }
+  double f0 = q1->getInitialPorosity();
+  double R0 = _j2IH->getYield0();
+  int numberYield = getNumOfYieldSurfaces();
+  
+  static std::vector<STensor3> Dres0DEepr(numberYield, STensor3(0));
+  static STensor43 Dres1DEepr;
+  static STensor3 Dres2DEepr;
+  
+  static STensor3 DyieldDsig;
+  double DyieldDR, DyieldDT;
+  std::vector<double> DyieldDY(Y.size(),0.);
+  static STensor3 DyieldDDeltaEp;
+  static STensor3 DyieldDFdefo;
+  
+  double yield = I1J2J3_yieldFunction_aniso(sig,R,q0,q1,T,true,&DyieldDsig,&DyieldDR,&DyieldDY,&DyieldDDeltaEp,&DyieldDFdefo,isThermomechanicallyCoupled(),&DyieldDT);
+  
+  // res0= F(sig,R,Y,T) = 0
+
+  static STensor3 fullDyieldDsig;
+  fullDyieldDsig = DyieldDsig;
+  for (int i=0; i< Y.size(); i++)
+  {
+    fullDyieldDsig.daxpy(DYDsig[i],DyieldDY[i]);
+  }
+  STensorOperation::multSTensor3STensor43(fullDyieldDsig,DsigDEepr,Dres0DEepr[0]);
+  for (int i=0; i< _numNonLocalVar; i++)
+  {
+    Dres0DNonlocalVars[0][i] = 0.;
+    for (int j=0; j< Y.size(); j++)
+    {
+      Dres0DNonlocalVars[0][i] += DyieldDY[j]*DYDnonlocalVars[j][i];
+    }
+    if(i==1)
+    {
+      Dres0DNonlocalVars[0][i]-=DyieldDR*dwp;
+    }
+  }
+  if (isThermomechanicallyCoupled()){
+    (*Dres0DT)[0] = STensorOperation::doubledot(fullDyieldDsig,*DsigDT) + DyieldDR*(*DRDT) + DyieldDT;
+  }
+  
+  static STensor3 Np;
+  static STensor43 DNpDsig;
+  static STensor3 DNpDR, DNpDT;
+  static std::vector<STensor3> DNpDY(Y.size(),STensor3(0.));
+  static STensor43 DNpDDeltaEp;
+  static STensor43 DNpDFdefo;
+  
+  I1J2J3_getYieldNormal_aniso(Np,sig,R,q0,q1,T,true,&DNpDsig,&DNpDR,&DNpDY,&DNpDDeltaEp, &DNpDFdefo, isThermomechanicallyCoupled(),&DNpDT);
+  
+  // res1 = DeltaEp - DeltaPlasticMult*Np(kcor,R,Y,T) = 0
+  static STensor43 fullDNpDsig;
+  fullDNpDsig = DNpDsig;
+  for (int i=0; i< Y.size(); i++)
+  {
+    STensorOperation::prodAdd(DNpDY[i],DYDsig[i],1.,fullDNpDsig);
+  }  
+  STensorOperation::multSTensor43(fullDNpDsig,DsigDEepr,Dres1DEepr);
+  Dres1DEepr *= (-DeltaPlasticMult[0]);
+    
+  for (int i=0; i< _numNonLocalVar; i++){
+    STensorOperation::zero(Dres1DNonlocalVars[i]);
+    for (int j=0; j< Y.size(); j++)
+    {
+      Dres1DNonlocalVars[i].daxpy(DNpDY[j],-DeltaPlasticMult[0]*DYDnonlocalVars[j][i]);
+    }
+    if(i==1)
+    {
+      Dres1DNonlocalVars[i]+=(DNpDR*(DeltaPlasticMult[0]*dwp));
+    }
+  }
+
+  if (isThermomechanicallyCoupled()){
+    STensorOperation::multSTensor43STensor3(fullDNpDsig,*DsigDT,*Dres1DT);
+    Dres1DT->daxpy(DNpDR,*DRDT);
+    *Dres1DT += DNpDT;
+    *Dres1DT *= (-DeltaPlasticMult[0]);
+  };
+  
+  // res2 = (sig:DeltaEp - (1-f)*Jp*R*DeltaHatP)/R0 = 0
+  double Jp = 1.;
+  // plastic energy balance
+  if (_stressFormulation == CORO_KIRCHHOFF)
+  {
+    double Jp0 = STensorOperation::determinantSTensor3(q0->getConstRefToFp());
+    double traceDeltaEp = DeltaEp(0,0)+DeltaEp(1,1)+DeltaEp(2,2);
+    Jp = Jp0*exp(traceDeltaEp);
+  }
+  
+  double partDres2Dyieldf = Jp*R*DeltaHatP/R0;
+  static STensor3 partDres2Dsig;
+  STensorOperation::scale(DeltaEp,1./R0,partDres2Dsig);
+  partDres2Dsig.daxpy(DYDsig[0],partDres2Dyieldf);
+  double yieldf = q1->getYieldPorosity();
+  
+  STensorOperation::multSTensor3STensor43(partDres2Dsig,DsigDEepr,Dres2DEepr);
+  for (int i=0; i< _numNonLocalVar; i++){
+    Dres2DNonlocalVars[i] = partDres2Dyieldf*DYDnonlocalVars[0][i];
+    if(i==1)
+    {
+      Dres2DNonlocalVars[i]-=(1.-yieldf)*Jp*(DeltaHatP)/R0*dwp;
+
+    }
+  }
+
+  if (isThermomechanicallyCoupled()){
+    *Dres2DT = STensorOperation::doubledot(partDres2Dsig,*DsigDT) - (1.-yieldf)*Jp*(*DRDT)*DeltaHatP/R0;;
+  }
+  
+  
+  // compute with respect to F
+  for (int i=0; i< numberYield; i++)
+  {
+    STensorOperation::multSTensor3STensor43(Dres0DEepr[i],EprToF,Dres0DFdefo[i]);
+    Dres0DFdefo[i] += DyieldDFdefo[i];
+  }
+  STensorOperation::multSTensor43(Dres1DEepr, EprToF, Dres1DFdefo);
+  Dres1DFdefo.axpy(-DeltaPlasticMult[0], DNpDFdefo);
+  STensorOperation::multSTensor3STensor43(Dres2DEepr, EprToF, Dres2DFdefo);
+}; 
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(const STensor3& sig,
+                                                const IPNonLocalPorosity *q0, IPNonLocalPorosity* q1,
+                                                bool stiff,
+                                                std::vector<double>* Y ,
+                                                std::vector<STensor3>* DYDsig ,
+                                                std::vector<std::vector<double> >* DYDNonlocalVars
                                                   ) const
 {
+  const STensor43& M = q1->getConstRefToAnisotropicTensor();
   static STensor3 sigEff;
-  static STensor3 DyieldfVDsigEff;
-  STensorOperation::multSTensor43STensor3(_aniM, kcor, sigEff);
-  mlawNonLocalPorousCoupledLawWithMPSAndMSS::I1J2J3_voidCharacteristicsEvolution(sigEff, DeltaHatQ, DeltaHatP, DeltaHatD, q0, q1, stiff, DyieldfVDVars, &DyieldfVDsigEff);
+  static std::vector<STensor3> DYDsigEff(4, STensor3());
+  STensorOperation::multSTensor43STensor3(M, sig, sigEff);
+  mlawNonLocalPorousCoupledLawWithMPSAndMSS::I1J2J3_voidCharacteristicsEvolution_NonLocal(sigEff, q0, q1, stiff, Y, &DYDsigEff, DYDNonlocalVars);
   if (stiff)
   {
-    STensorOperation::multSTensor3STensor43(DyieldfVDsigEff,_aniM,*DyieldfVDsig);
+    for (int i=0; i< 4; i++)
+    {
+      STensorOperation::multSTensor3STensor43(DYDsigEff[i],M,(*DYDsig)[i]);
+    }
   }
-}
+};
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::computeAnisotropyRotation(STensor3& Rtotal, const STensor3& F, const STensor3& DeltaEp, const STensor3& Fp0, 
+                                                bool stiff, STensor43* DRtotalDF, STensor43* DRtotalDDeltaEp) const
+{
+  static STensor3 dFp, Fp, Fpinv, Fe, Ce, Ue, UeInv, Re, C,  U, UInv, R;
+  STensorOperation::expSTensor3(DeltaEp, _orderlogexp ,dFp);
+  // Fp1 = dFp * Fp0
+  STensorOperation::multSTensor3(dFp,Fp0,Fp);
+  // Fe = F * Fp^-1
+  STensorOperation::inverseSTensor3(Fp, Fpinv);
+  STensorOperation::multSTensor3(F,Fpinv,Fe);
+  STensorOperation::multSTensor3FirstTranspose(Fe,Fe,Ce);
+  STensorOperation::sqrtSTensor3(Ce,Ue);
+  STensorOperation::inverseSTensor3(Ue,UeInv);
+  STensorOperation::multSTensor3(Fe,UeInv,Re);
+  
+  STensorOperation::multSTensor3FirstTranspose(F,F,C);
+  STensorOperation::sqrtSTensor3(C,U);
+  STensorOperation::inverseSTensor3(U,UInv);
+  STensorOperation::multSTensor3(F,UInv,R);
+
+  STensorOperation::multSTensor3FirstTranspose(R,Re,Rtotal);
+  
+  if (stiff)
+  {
+    STensorOperation::zero(*DRtotalDDeltaEp);
+    //
+    static STensor3 plus_R;
+    double ff = 1e-8;
+    for (int i=0; i< 3; i++)
+    {
+      for (int j=i; j<3; j++)
+      {
+        static STensor3 plus_DeltaEp;
+        plus_DeltaEp = DeltaEp;
+        plus_DeltaEp(i,j) += 0.5*ff;
+        plus_DeltaEp(j,i) += 0.5*ff;
+        computeAnisotropyRotation(plus_R, F, plus_DeltaEp, Fp0);
+        for (int k=0; k< 3; k++)
+        {
+          for (int l=0; l<3; l++)
+          {
+            (*DRtotalDDeltaEp)(k,l,i,j) = (plus_R(k,l) -Rtotal(k,l))/(ff);
+            (*DRtotalDDeltaEp)(k,l,j,i) = (*DRtotalDDeltaEp)(k,l,i,j);
+          }
+        }
+      }
+    }
+    
+    STensorOperation::zero(*DRtotalDF);
+    for (int i=0; i< 3; i++)
+    {
+      for (int j=0; j<3; j++)
+      {
+        static STensor3 plus_F;
+        plus_F = F;
+        plus_F(i,j) += ff;
+        computeAnisotropyRotation(plus_R, plus_F, DeltaEp, Fp0);
+        for (int k=0; k< 3; k++)
+        {
+          for (int l=0; l<3; l++)
+          {
+            
+            (*DRtotalDF)(k,l,i,j) = (plus_R(k,l) -Rtotal(k,l))/(ff);
+          }
+        }
+      }
+    }
+  }
+  
+};
+                                                
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPNonLocalPorosity* q0, IPNonLocalPorosity* q1, bool stiff) const
+{
+  const STensor3& Fp0 = q0->getConstRefToFp();
+  static STensor3 Rtotal;
+  static STensor43 DRtotalDF, DRtotalDDeltaEp;
+  computeAnisotropyRotation(Rtotal,F,DeltaEp,Fp0,stiff, &DRtotalDF, &DRtotalDDeltaEp);
+  
+  STensor43& M = q1->getRefToAnisotropicTensor();
+  STensor63& DMDF =q1->getRefToDAnisotropicTensorDF();
+  STensor63& DMDDeltaEp = q1->getRefToDAnisotropicTensorDEp();
+  
+  STensorOperation::zero(M);
+  if (stiff)
+  {
+    STensorOperation::zero(DMDF);
+    STensorOperation::zero(DMDDeltaEp);
+  }
+  
+  for (int i=0; i<3; i++)
+  {
+    for (int j=0; j<3; j++)
+    {
+      for (int k=0; k<3; k++)
+      {
+        for (int l=0; l<3; l++)
+        {
+          for (int p=0; p<3; p++)
+          {
+            for (int q=0; q<3; q++)
+            {
+              for (int r=0; r<3; r++)
+              {
+                for (int s=0; s<3; s++)
+                {
+                  M(i,j,k,l) += Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l);
+                  if (stiff)
+                  {
+                    for (int a=0; a<3; a++)
+                    {
+                      for (int b=0; b<3; b++)
+                      {
+                        DMDF(i,j,k,l,a,b) += DRtotalDF(p,i,a,b)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                 Rtotal(p,i)*DRtotalDF(q,j,a,b)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                  Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*DRtotalDF(r,k,a,b)*Rtotal(s,l)+ 
+                                                   Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*DRtotalDF(s,l,a,b);
+                                                   
+                        DMDDeltaEp(i,j,k,l,a,b) += DRtotalDDeltaEp(p,i,a,b)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                 Rtotal(p,i)*DRtotalDDeltaEp(q,j,a,b)*_aniM(p,q,r,s)*Rtotal(r,k)*Rtotal(s,l) +
+                                                  Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*DRtotalDDeltaEp(r,k,a,b)*Rtotal(s,l)+ 
+                                                   Rtotal(p,i)*Rtotal(q,j)*_aniM(p,q,r,s)*Rtotal(r,k)*DRtotalDDeltaEp(s,l,a,b);
+                      }
+                    }
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+};
 
-double mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_yieldFunction(const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T,
+double mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_yieldFunction_aniso(const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T,
                                         bool diff, STensor3* DFDkcor, double* DFDR, std::vector<double>* DFDY, 
+                                        STensor3* DFDDeltaEp, STensor3* DFDFdefo, 
                                         bool withThermic, double *DFDT) const
 {
+  const STensor43& M = q1->getConstRefToAnisotropicTensor();
+  const STensor63& DMDFdefo = q1->getConstRefToDAnisotropicTensorDF();
+  const STensor63& DMDDeltaEp = q1->getConstRefToDAnisotropicTensorDEp();
+  
   static STensor3 sigEff;
   static STensor3 DFDsigEff;
-  STensorOperation::multSTensor43STensor3(_aniM, kcor, sigEff);
+  STensorOperation::multSTensor43STensor3(M, kcor, sigEff);
   
   double fval = mlawNonLocalPorousCoupledLawWithMPSAndMSS::I1J2J3_yieldFunction(sigEff, R, q0, q1, T, diff,&DFDsigEff,DFDR, DFDY,withThermic,DFDT);
   if (diff)
   {
-    STensorOperation::multSTensor3STensor43(DFDsigEff, _aniM,*DFDkcor);
+    STensorOperation::multSTensor3STensor43(DFDsigEff, M,*DFDkcor);
+    
+    static STensor43 temp;
+    STensorOperation::multSTensor3STensor63(kcor, DMDDeltaEp, temp);
+    STensorOperation::multSTensor3STensor43(DFDsigEff,temp,*DFDDeltaEp);
+    
+    STensorOperation::multSTensor3STensor63(kcor, DMDFdefo, temp);
+    STensorOperation::multSTensor3STensor43(DFDsigEff,temp,*DFDFdefo);
   }
   return fval;
 };
-void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_getYieldNormal(STensor3& Np, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T,
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_getYieldNormal_aniso(STensor3& Np, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T,
                                   bool diff, STensor43* DNpDkcor, STensor3* DNpDR, std::vector<STensor3>* DNpDY,
+                                  STensor43* DNpDDeltaEp, STensor43* DNpDFdefo,
                                   bool withThermic, STensor3* DNpDT  
                                   ) const
 {
+  const STensor43& M = q1->getConstRefToAnisotropicTensor();
+  const STensor63& DMDFdefo = q1->getConstRefToDAnisotropicTensorDF();
+  const STensor63& DMDDeltaEp = q1->getConstRefToDAnisotropicTensorDEp();
+  
   static STensor3 sigEff, NpEff, DNpEffDR, DNpEffDT; 
   static std::vector<STensor3> DNpEffDY;
   static STensor43 DNpEffDsigEff;
@@ -2351,22 +2779,1317 @@ void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_getYieldNormal(STen
   {
     DNpEffDY.resize(DNpDY->size(), STensor3(0.));
   }
-  STensorOperation::multSTensor43STensor3(_aniM, kcor, sigEff);
+  STensorOperation::multSTensor43STensor3(M, kcor, sigEff);
   mlawNonLocalPorousCoupledLawWithMPSAndMSS::I1J2J3_getYieldNormal(NpEff, sigEff, R, q0, q1, T, diff, &DNpEffDsigEff, &DNpEffDR, &DNpEffDY, withThermic, &DNpEffDT);
-  STensorOperation::multSTensor3STensor43(NpEff, _aniM, Np);
+  STensorOperation::multSTensor3STensor43(NpEff, M, Np);
   if (diff)
   {
     static STensor43 DNpDsigEff;
-    STensorOperation::multSTensor43FirstIndexes(_aniM, DNpEffDsigEff, DNpDsigEff);
-    STensorOperation::multSTensor43(DNpDsigEff, _aniM, *DNpDkcor);
-    STensorOperation::multSTensor3STensor43(DNpEffDR, _aniM, *DNpDR);
+    STensorOperation::multSTensor43FirstIndexes(M, DNpEffDsigEff, DNpDsigEff);
+    STensorOperation::multSTensor43(DNpDsigEff, M, *DNpDkcor);
+    
+    STensorOperation::multSTensor3STensor43(DNpEffDR, M, *DNpDR);
     for (int i=0; i< DNpEffDY.size(); i++)
     {
-      STensorOperation::multSTensor3STensor43(DNpEffDY[i],_aniM, (*DNpDY)[i]);
+      STensorOperation::multSTensor3STensor43(DNpEffDY[i],M, (*DNpDY)[i]);
     }
+    
+    static STensor43 tmp;
+    STensorOperation::multSTensor3STensor63(kcor, DMDDeltaEp, tmp);    
+    STensorOperation::multSTensor43(DNpDsigEff, tmp, *DNpDDeltaEp);
+    STensorOperation::multSTensor3STensor63Add(NpEff, DMDDeltaEp, *DNpDDeltaEp);
+    
+    STensorOperation::multSTensor3STensor63(kcor, DMDFdefo, tmp);
+    STensorOperation::multSTensor43(DNpDsigEff,tmp,*DNpDFdefo);
+    STensorOperation::multSTensor3STensor63Add(NpEff, DMDFdefo, *DNpDFdefo);
+    
     if (withThermic)
     {
-      STensorOperation::multSTensor3STensor43(DNpEffDT, _aniM, *DNpDT);
+      STensorOperation::multSTensor3STensor43(DNpEffDT, M, *DNpDT);
+    }
+  }
+};
+
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::checkCoalescence(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const double* T) const
+{
+  // check condition if check coalescence is carried out
+  if (getNumOfYieldSurfaces() > 1)
+  {
+    Msg::Error("check coalescenece has not implemented for num yield surface >1");
+    return;
+  }
+    
+  // Get ipvs
+  const IPCoalescence* q0Thom = &q0->getConstRefToIPCoalescence();
+  IPCoalescence* q1Thom = &q1->getRefToIPCoalescence();
+
+  // check active
+  if (q0Thom->getCoalescenceOnsetFlag() and q1->dissipationIsActive())
+  {
+    q1Thom->getRefToCoalescenceActiveFlag() = true;
+  }
+  else
+  {
+    q1Thom->getRefToCoalescenceActiveFlag() = false;
+  }
+  
+  bool willUseNormalToCheck = false;
+  if (_checkCoalescenceWithNormal)
+  {
+    if (q1->getLocation() == IPVariable::INTERFACE_MINUS or q1->getLocation() == IPVariable::INTERFACE_PLUS)
+    {
+      
+      willUseNormalToCheck = true;
+      const SVector3& normal = q1->getConstRefToCurrentOutwardNormal();
+      if (normal.norm() <=0.)
+      {
+        Msg::Error("coalescence cannot check with zero normal!!!");
+        return;
+      };
+    }
+    else
+    {
+      willUseNormalToCheck = false;
+      if (!_withBothYieldSurfacesInBulk)
+      {
+        return;
+      }
+    }  
+  }
+  
+  
+  if (q0Thom->getCoalescenceOnsetFlag())
+  {
+    // if onset already occurs
+    q1Thom->getRefToCoalescenceOnsetFlag() = q0Thom->getCoalescenceOnsetFlag();
+    q1Thom->getRefToCoalescenceMode() = q0Thom->getCoalescenceMode();
+    // copy data
+    q1Thom->setIPvAtCoalescenceOnset(*q0Thom->getIPvAtCoalescenceOnset());
+
+    q1Thom->getRefToCrackOffsetOnCft() = q0Thom->getCrackOffsetOnCft();
+    q1Thom->getRefToLodeParameterOffset() = q0Thom->getLodeParameterOffset();
+    q1Thom->getRefToYieldOffset() = q0Thom->getYieldOffset();
+  }
+  else if (q1->dissipationIsActive())
+  {
+    const STensor3& kCor = q1->getConstRefToCorotationalKirchhoffStress();
+    const STensor3& F = q1->getConstRefToDeformationGradient();
+    const double R = q1->getCurrentViscoplasticYieldStress();    
+    double J = STensorOperation::determinantSTensor3(F);
+    static STensor3 corSig;
+    corSig = kCor;
+    if (_stressFormulation == CORO_CAUCHY)
+    {
+      corSig *= (1./J);
     }
+
+    // check at interface 
+    bool interfaceNeckActive = true;
+    bool interfaceShearActive = true;
+    if (willUseNormalToCheck)
+    {
+       double CftThomason;
+      _mlawCoales->getCoalescenceLaw()->computeConcentrationFactor(q0,q1,CftThomason);
+      double CftShear;
+      _mlawShear->getCoalescenceLaw()->computeConcentrationFactor(q0,q1,CftShear);
+      
+      SVector3 normal = q1->getConstRefToCurrentOutwardNormal();
+      normal.normalize();
+
+      // Compute Sig from Kcor following: Sig = invFeT * sigCor * FeT = Fe*sigCor*invFe
+      static STensor3 invFep, FeSigCor , Fe, Sig;
+      STensorOperation::inverseSTensor3(q1->getConstRefToFp(), invFep);
+      STensorOperation::multSTensor3(F, invFep, Fe);
+      STensorOperation::inverseSTensor3(Fe, invFep);
+      STensorOperation::multSTensor3(Fe, corSig, FeSigCor);
+      STensorOperation::multSTensor3SecondTranspose(FeSigCor, invFep, Sig);
+      
+      // traction vector
+      static SVector3 tractionForce;
+      STensorOperation::multSTensor3SVector3(Sig,normal,tractionForce);
+      double tauN = STensorOperation::dot(tractionForce,normal);
+      // Deduce tangent part
+      double tauTanSq = 0.;
+      for (int i=0; i<3; i++)
+      {
+        double temp = tractionForce(i)-tauN*normal(i);
+        tauTanSq += temp*temp;
+      }
+      // Compute effective stress
+      double tauEff = 0.; 
+      if (tauN > 0.)
+      {
+        tauEff = sqrt(tauN*tauN + _beta*tauTanSq);
+      }
+      else
+      {
+        tauEff = sqrt(_beta*tauTanSq);
+      }
+      
+      if (tauEff - CftThomason*R >0)
+      {
+        interfaceNeckActive = true;
+      } 
+      else
+      {
+        interfaceNeckActive = false;
+      }
+      if (sqrt(3.*tauTanSq) - CftShear*R >0)
+      {
+        interfaceShearActive = true;
+      }
+      else
+      {
+        interfaceShearActive = false;
+      }
+    }
+    
+    static STensor3 sigEff;
+    const STensor43& M = q1->getConstRefToAnisotropicTensor();
+    STensorOperation::multSTensor43STensor3(M, corSig, sigEff);
+    double Gurson = _mlawGrowth->I1J2J3_yieldFunction(sigEff,R,q0,q1,T);
+    double Thomason = _mlawCoales->I1J2J3_yieldFunction(sigEff,R,q0,q1,T);
+    double Shear = _mlawShear->I1J2J3_yieldFunction(sigEff,R,q0,q1,T);
+    
+    // active plasticity
+    // check coalescence is active
+    bool& CoalesFlag = q1Thom->getRefToCoalescenceOnsetFlag();
+    int& CoalesMode = q1Thom->getRefToCoalescenceMode();
+    CoalesFlag = false;
+    CoalesMode = 0;
+    
+    if (_useTwoYieldRegularization)
+    {
+      double FG = Gurson +1.;
+      double FT = Thomason +1.;
+      double FS = Shear +1.;
+      if (FG < 0. or FT < 0. or FS < 0)
+      {
+        Msg::Error("FT,FS FG must be all positive but FT=%e, FS = %e, FG=%e",FT,FS,FG);
+      }
+      // check necking
+      if (std::max(FT,FS)> FG)
+      {
+        double ratio = FG/FT;
+        if (pow(ratio,_yieldRegExponent) < _coalesTol  && interfaceNeckActive)
+        {
+          CoalesFlag = true;
+          CoalesMode = 1;
+          printf("Necking coalescence at Gurson = %e, Thomason =%e, Shear = %e\n",
+                        Gurson,Thomason,Shear);
+        }
+        else
+        {
+          ratio = FG/FS;
+          if (pow(ratio,_yieldRegExponent) < _coalesTol  && interfaceShearActive)
+          {
+            CoalesFlag = true; 
+            CoalesMode = 2;
+            printf("Shear coalescence at Gurson = %e, Thomason =%e, Shear = %e\n",
+                                  Gurson,Thomason,Shear);
+          }
+          else
+          {
+            CoalesFlag = false;
+            CoalesMode = 0;
+          }
+        }
+      }
+    }
+    else
+    {
+      if (Thomason > std::max(Gurson,Shear) && interfaceNeckActive)
+      {
+        CoalesFlag = true;
+        CoalesMode = 1;
+        printf("Necking coalescence at Gurson = %e, Thomason =%e, Shear = %e\n",
+                        Gurson,Thomason,Shear);
+      }
+      else if (Shear > std::max(Gurson,Thomason) && interfaceShearActive)
+      {
+        CoalesFlag = true;
+        CoalesMode = 2;
+        printf("Shear coalescence at Gurson = %e, Thomason =%e, Shear = %e\n",
+                                Gurson,Thomason,Shear);
+      }
+      else
+      {
+        CoalesFlag = false;
+        CoalesMode = 0;
+      }
+    }
+       
+   // if coalesnce occurs
+    if (CoalesFlag)
+    {
+      q1Thom->setIPvAtCoalescenceOnset(*q1);
+      // if offset is used to satisfy Thomason yield surface at the onset of coalescence
+      if (_useTwoYieldRegularization)
+      {
+        // never offset with yield regulation
+        q1Thom->getRefToCrackOffsetOnCft() = 1.;
+        q1Thom->getRefToLodeParameterOffset() = 1.;
+        q1Thom->getRefToYieldOffset() = 0.;
+      }
+      else
+      {
+        if (_withCftOffset)
+        {
+          if (CoalesMode==1)
+          {
+            q1Thom->getRefToCrackOffsetOnCft() = 1. + Thomason;
+          }
+          else if (CoalesMode==2)
+          {
+            q1Thom->getRefToCrackOffsetOnCft() = 1. + Shear;
+          }
+          q1Thom->getRefToLodeParameterOffset() = 1.;
+          q1Thom->getRefToYieldOffset() = 0.;
+          #ifdef _DEBUG
+          printf("coalescence ocurrs using Cft offset = %e\n",q1Thom->getCrackOffsetOnCft());
+          #endif //_DEBUG
+        }
+        else if (_withLodeOffset)
+        {
+          // Lode offset is not used for material law, because law already accounts for Lode variable
+          q1Thom->getRefToCrackOffsetOnCft() = 1.;
+          q1Thom->getRefToLodeParameterOffset()=  1.;
+          q1Thom->getRefToYieldOffset() = 0.;
+        }
+        else if (_withYieldOffset)
+        {
+          q1Thom->getRefToCrackOffsetOnCft() = 1.;
+          q1Thom->getRefToLodeParameterOffset() = 1.;
+          if (CoalesMode==1)
+          {
+            q1Thom->getRefToYieldOffset() = Thomason;
+          }
+          else if (CoalesMode==2)
+          {
+            q1Thom->getRefToYieldOffset() = Shear;
+          }
+          #ifdef _DEBUG
+          printf("coalescence ocurrs using yield offset = %e\n",q1Thom->getYieldOffset());
+          #endif //_DEBUG
+        }
+        else
+        {
+          q1Thom->getRefToCrackOffsetOnCft() = 1.;
+          q1Thom->getRefToLodeParameterOffset() = 1.;
+          q1Thom->getRefToYieldOffset() = 0.;
+          #ifdef _DEBUG
+          printf("coalescence ocurrs, not offset is used\n");
+          #endif //_DEBUG
+        }
+      }
+    }
+    else
+    {
+      q1Thom->getRefToCrackOffsetOnCft() = 1.;
+      q1Thom->getRefToLodeParameterOffset() = 1.;
+      q1Thom->getRefToYieldOffset() = 0.;
+    }
+  }
+};
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::forceCoalescence(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const double* T) const
+{
+  Msg::Error("mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::forceCoalescence is not implemented!!!");
+};
+bool mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::checkCrackCriterion(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const STensor3& Fcur, const SVector3& normal, double delayFactor, const double* T) const
+{
+  Msg::Error("mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::checkCrackCriterion is not implemented!!!");
+};
+
+
+bool mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_plasticCorrector_NonLocal_aniso(const STensor3& F1, 
+                                  const STensor3& Kcorpr,  // predictor 
+                                  const IPNonLocalPorosity *q0, IPNonLocalPorosity *q1,
+                                  STensor3& Fe, STensor3& Ce, STensor3& Ee, STensor43& Le, STensor63& dLe,
+                                  const STensor43& EprToF,
+                                  const bool stiff,
+                                  const STensor43& DKcorprDEepr, // predictor elastic tangent
+                                  STensor43& DKcorDFdefo, std::vector<STensor3>& DKcorDnonlocalVar,
+                                  STensor43& DFpDFdefo, std::vector<STensor3>& DFpDnonlocalVar,
+                                  std::vector<STensor3>& DlocalVarDFdefo, fullMatrix<double>& DlocalVarDnonlocalVar,
+                                  const double* T,
+                                  const STensor3* DKcorprDT, 
+                                  STensor3* DKcorDT, STensor3* DFpDT, fullMatrix<double>* DlocalVarDT
+                                ) const{
+                                  
+  STensor3& Kcor = q1->getRefToCorotationalKirchhoffStress();
+  Kcor = Kcorpr;
+  
+  static STensor3 sig;
+  static STensor43 DsigDDeltaEp;
+  sig = Kcor;
+  STensorOperation::scale(DKcorprDEepr,-1.,DsigDDeltaEp);
+  double detF = 1.;
+  double detFinv = 1.;
+  if (_stressFormulation == CORO_CAUCHY)
+  {
+    // update with deformation Jacobian
+    detF = STensorOperation::determinantSTensor3(F1);
+    detFinv = 1./detF;
+    sig *= detFinv;
+    DsigDDeltaEp *= detFinv;
+  }
+  
+  // unknowns
+  int nyield = getNumOfYieldSurfaces();
+  static STensor3 DeltaEp;
+  STensorOperation::zero(DeltaEp);
+  static std::vector<double> DeltaPlasticMult(nyield);
+  for (int i=0; i< nyield; i++)
+  {
+    DeltaPlasticMult[i] = 0.;
+  }
+  double DeltaHatP = 0;
+                                  
+  // get all void characteristic
+  static std::vector<double> Y(4,0.);
+  static std::vector<STensor3> DYDsig(4,STensor3(0.));
+  static std::vector<std::vector<double> > DYDNonlocalVars(4,std::vector<double>(3,0.));
+  I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(sig,q0,q1,true,&Y,&DYDsig,&DYDNonlocalVars);
+  
+  double & R = q1->getRefToCurrentViscoplasticYieldStress();
+  R = q1->getConstRefToIPJ2IsotropicHardening().getR();
+  double H = q1->getConstRefToIPJ2IsotropicHardening().getDR();
+  
+  
+  
+  static std::vector<double> res0(nyield);
+  static std::vector<STensor3> Dres0DDeltaEp(nyield);
+  static std::vector<double> Dres0DDeltaPlasticMult(nyield);
+  static std::vector<double> Dres0DDeltaHatP(nyield);
+  
+  static STensor3 res1;
+  static STensor43 Dres1DDeltaEp;
+  static std::vector<STensor3> Dres1DDeltaPlasticMult(nyield);
+  static STensor3 Dres1DDeltaHatP;
+  
+  static double res2;
+  static STensor3 Dres2DDeltaEp;
+  static std::vector<double> Dres2DDeltaPlasticMult(nyield);
+  static double Dres2DDeltaHatP;
+    
+
+  static fullVector<double> res(7+nyield), sol(7+nyield);
+  static fullMatrix<double> Jac(7+nyield,7+nyield);
+  
+  
+  I1J2J3_computeResidual_aniso(DeltaEp,DeltaPlasticMult,DeltaHatP,sig,R,q0,q1,Y,
+        res0,res1,res2,
+        true,DsigDDeltaEp,H,DYDsig,
+        Dres0DDeltaEp,Dres1DDeltaEp,Dres2DDeltaEp,
+        Dres0DDeltaPlasticMult,Dres1DDeltaPlasticMult,Dres2DDeltaPlasticMult,
+        Dres0DDeltaHatP, Dres1DDeltaHatP,Dres2DDeltaHatP,T);
+        
+  // compute solution
+  I1J2J3_getResAndJacobian(res,Jac,res0,res1,res2,
+                  Dres0DDeltaEp,Dres1DDeltaEp,Dres2DDeltaEp,
+                  Dres0DDeltaPlasticMult,Dres1DDeltaPlasticMult,Dres2DDeltaPlasticMult,
+                  Dres0DDeltaHatP,Dres1DDeltaHatP,Dres2DDeltaHatP);
+  //Jac.print("Jac");
+  
+  int ite = 0;
+  int lsMax = 10;
+  
+  double f = res.norm();
+  // Start iterations
+  //Msg::Info("plastic corrector f=%e",f);
+  while(f > _tol or ite <1)
+  {
+                                    
+    bool ok = Jac.luSolve(res,sol);
+    
+    if (!ok) {
+      #ifdef _DEBUG
+      Msg::Error("lu solve does not work !!!");
+      #endif //_DEBUG
+      return false;
+    }
+    
+    double alph=1.;
+    static STensor3 DeltaEp_prev;
+    DeltaEp_prev = DeltaEp;
+    static std::vector<double> DeltaPlasticMult_prev(nyield);
+    DeltaPlasticMult_prev = DeltaPlasticMult;    
+    double DeltaHatP_prev = DeltaHatP;
+  
+    for (int ls =0;  ls < lsMax; ls++)
+    {
+    
+      static STensor3 dDeltaEp; 
+      dDeltaEp(0,0) = alph*sol(0);
+      dDeltaEp(1,1) = alph*sol(1);
+      dDeltaEp(2,2) = alph*sol(2);
+      dDeltaEp(0,1) = alph*sol(3);
+      dDeltaEp(1,0) = alph*sol(3);
+      dDeltaEp(0,2) = alph*sol(4);
+      dDeltaEp(2,0) = alph*sol(4);
+      dDeltaEp(1,2) = alph*sol(5);
+      dDeltaEp(2,1) = alph*sol(5);
+      
+      if (dDeltaEp.norm0() > 1.){
+        DeltaEp*=0.1;
+      }
+      else{
+        DeltaEp -= dDeltaEp;
+      }
+      
+      for (int i=0; i< nyield; i++)
+      {
+        if (DeltaPlasticMult[i]-alph*sol(6+i) <0.){
+          DeltaPlasticMult[i] *=0.1;
+        }
+        else{
+          DeltaPlasticMult[i] -= alph*sol(6+i);
+        }
+      }
+      
+      if (DeltaHatP-alph*sol(6+nyield) < 0.){
+        DeltaHatP *= 0.1;
+      }
+      else{
+        DeltaHatP -= alph*sol(6+nyield);
+      }
+    
+      // update Kcor
+      // Kcor = Kcorpr - H:DeltaEp
+      Kcor = Kcorpr;
+      STensorOperation::multSTensor43STensor3Add(DKcorprDEepr,DeltaEp,-1.,Kcor);
+      STensorOperation::scale(Kcor,detFinv,sig);
+      
+      // state anisotropic tensor
+      computeRotatedAnisotropicTensor(F1, DeltaEp, q0, q1, true);
+      
+      // update with new sig
+      // update all void characteristics
+      I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(sig,q0,q1,true,&Y,&DYDsig,&DYDNonlocalVars);    
+      // update internal variables
+      I1J2J3_updateInternalVariables(q1,q0,DeltaEp,DeltaHatP,T);
+      
+      R = q1->getConstRefToIPJ2IsotropicHardening().getR();
+      H = q1->getConstRefToIPJ2IsotropicHardening().getDR();
+            
+      I1J2J3_computeResidual_aniso(DeltaEp,DeltaPlasticMult,DeltaHatP,sig,R,q0,q1,Y,
+          res0,res1,res2,
+          true,DsigDDeltaEp,H,DYDsig,
+          Dres0DDeltaEp,Dres1DDeltaEp,Dres2DDeltaEp,
+          Dres0DDeltaPlasticMult,Dres1DDeltaPlasticMult,Dres2DDeltaPlasticMult,
+          Dres0DDeltaHatP, Dres1DDeltaHatP,Dres2DDeltaHatP,T);
+          
+      // compute solution
+      I1J2J3_getResAndJacobian(res,Jac,res0,res1,res2,
+                      Dres0DDeltaEp,Dres1DDeltaEp,Dres2DDeltaEp,
+                      Dres0DDeltaPlasticMult,Dres1DDeltaPlasticMult,Dres2DDeltaPlasticMult,
+                      Dres0DDeltaHatP,Dres1DDeltaHatP,Dres2DDeltaHatP);   
+      
+      double newf = res.norm();
+      if (newf < f)
+      {	
+        //if (ls > 0)
+        //{
+         // Msg::Info("ls ite = %d, alp = %e new = %e, f=%e",ls, alph, newf, f);
+        //}
+        f = newf;
+        break;
+      }
+      else
+      {
+        alph *= 0.75;
+        DeltaEp = DeltaEp_prev;
+        DeltaPlasticMult = DeltaPlasticMult_prev;    
+        DeltaHatP = DeltaHatP_prev;
+      }
+    }
+      
+    //printf("iter = %d error = %e \n ",ite,f);
+    if (f < _tol)  break;
+    
+    ite++;
+    if((ite > _maxite) or STensorOperation::isnan(f))
+    {
+      #ifdef _DEBUG
+      printf("in mlawNonLocalPorosity::I1J2J3_plasticCorrector_NonLocal: no convergence for plastic correction  with ite = %d maxite = %d norm = %e chiPrev= %e chi = %e !!!\n",ite,_maxite,f,q0->getConstRefToIPVoidState().getVoidLigamentRatio(),q1->getConstRefToIPVoidState().getVoidLigamentRatio());
+      #endif //_DEBUG
+      return false;
+    }
+  }
+
+  static STensor43 DFpDDeltaEp;
+  I1J2J3_updatePlasticState(q1,q0,F1, Kcor, R, DeltaEp,DeltaHatP, H, Fe,Ce,Ee,Le,dLe,DFpDDeltaEp,T);
+  /* Stiffness computation*/
+  if(stiff)
+  {
+    double DRDT= 0.;
+    if (isThermomechanicallyCoupled())
+    {
+      DRDT = q1->getConstRefToIPJ2IsotropicHardening().getDRDT();
+    }
+    double dwp=q1->getConstRefToIPJ2IsotropicHardening().getDWp();
+    /* Compute internal variables derivatives from residual derivatives */
+    static std::vector<STensor3> Dres0DFdefo(nyield);
+    static STensor43 Dres1DFdefo;
+    static STensor3 Dres2DFdefo;
+    static std::vector<std::vector<double> > Dres0DNonlocalVars(nyield, std::vector<double>(_numNonLocalVar,0.));
+    static std::vector<STensor3> Dres1DNonlocalVars(_numNonLocalVar,STensor3(0.));
+    static std::vector<double> Dres2DNonlocalVars(_numNonLocalVar,0.);
+    
+    static std::vector<double> Dres0DT(nyield);
+    static STensor3 Dres1DT;
+    static double Dres2DT;
+    
+    // Kcor = Kcorpr - H:DeltaEp, 
+    // DkcorDEepr = DKcorprDEepr
+    // partDKcorDT = DKcorprDT - DHDT:DeltaEp
+    // sig = Kcor*invdetF
+    static STensor43 correctedDsigDEepr;
+    STensorOperation::scale(DKcorprDEepr,detFinv,correctedDsigDEepr);
+    if (_stressFormulation == CORO_CAUCHY)
+    {
+      // J = Jepr*Jppr --> ln(J) = tr(Eepr) + ln(ppr) --> DJDEepr = J*I
+      static STensor3 DdetFDEepr;
+      STensorOperation::diag(DdetFDEepr,detF);
+      STensorOperation::prodAdd(Kcor,DdetFDEepr,-detFinv*detFinv,correctedDsigDEepr);
+    }
+    
+    
+    static STensor3 correctedDKcorDT, correctedDsigDT;
+    if (isThermomechanicallyCoupled())
+    {
+      static STensor43 DHDT;
+      getDHookTensorDT(DHDT,*T);
+      correctedDKcorDT = *DKcorprDT;
+      STensorOperation::multSTensor43STensor3Add(DHDT,DeltaEp,-1.,correctedDKcorDT);
+      correctedDsigDT = correctedDKcorDT;
+      correctedDsigDT *= (detFinv);
+    }
+    
+    I1J2J3_computeDResidual_aniso(DeltaEp,DeltaPlasticMult,DeltaHatP,sig, 
+                    R,q0,q1,correctedDsigDEepr, H, dwp,Y,DYDsig,DYDNonlocalVars,EprToF,
+                    Dres0DNonlocalVars,Dres0DFdefo,
+                    Dres1DNonlocalVars,Dres1DFdefo,
+                    Dres2DNonlocalVars,Dres2DFdefo,
+                    T,&DRDT,&correctedDsigDT,
+                    &Dres0DT,&Dres1DT,&Dres2DT);
+                    
+    
+    static STensor43 DDeltaEPDFdefo;
+    static STensor3 DDeltaHatPDFdefo;
+    
+    fullMatrix<double> invJac(8,8);
+    bool isInverted = Jac.invert(invJac);
+    if (!isInverted) 
+    {
+      #ifdef _DEBUG
+      Msg::Error("Jacobian cannot be inverted");
+      #endif //_DEBUG
+      return false;
+    }
+    for(int i=0; i<3; i++)
+    {
+      for(int j=0; j<3; j++)
+      {
+        for (int k=0; k< nyield; k++)
+        {
+          res(k) = -Dres0DFdefo[k](i,j);
+        }
+        res(nyield) = -Dres1DFdefo(0,0,i,j);
+        res(nyield+1) = -Dres1DFdefo(1,1,i,j); 
+        res(nyield+2) = -Dres1DFdefo(2,2,i,j);
+        res(nyield+3) = -Dres1DFdefo(0,1,i,j);
+        res(nyield+4) = -Dres1DFdefo(0,2,i,j);
+        res(nyield+5) = -Dres1DFdefo(1,2,i,j);
+        res(nyield+6) = -Dres2DFdefo(i,j);
+        invJac.mult(res,sol);
+        DDeltaEPDFdefo(0,0,i,j) = sol(0);
+        DDeltaEPDFdefo(1,1,i,j) = sol(1);
+        DDeltaEPDFdefo(2,2,i,j) = sol(2);
+        DDeltaEPDFdefo(0,1,i,j) = sol(3);
+        DDeltaEPDFdefo(1,0,i,j) = sol(3);
+        DDeltaEPDFdefo(0,2,i,j) = sol(4);
+        DDeltaEPDFdefo(2,0,i,j) = sol(4);
+        DDeltaEPDFdefo(1,2,i,j) = sol(5);
+        DDeltaEPDFdefo(2,1,i,j) = sol(5);
+        DDeltaHatPDFdefo(i,j) = sol(6+nyield);
+      }
+    }
+    // local variables
+    // double DeltaHatQ, DeltaHatD , DeltaHatP
+    // DeltaHatQ = trace(DeltaEp)
+    // DeltaHatD = sqrt(2*devDeltaEp*DevDeltaEp/3)
+    
+    static STensor3 devDeltaEp;
+    double DeltaHatQ, DeltaHatD; // volumetric part pf DeltaEp
+    STensorOperation::decomposeDevTr(DeltaEp,devDeltaEp,DeltaHatQ);
+    DeltaHatD = sqrt(2.*STensorOperation::doubledot(devDeltaEp,devDeltaEp)/3.);
+
+    // local Var are [DeltaHatQ DeltaHatP DeltaHatD]
+    STensorOperation::multSTensor3STensor43(_I,DDeltaEPDFdefo,DlocalVarDFdefo[0]);
+    DlocalVarDFdefo[1] = DDeltaHatPDFdefo;
+    STensorOperation::multSTensor3STensor43(devDeltaEp,DDeltaEPDFdefo,DlocalVarDFdefo[2]);
+    DlocalVarDFdefo[2] *= (2./(3.*DeltaHatD));
+    
+    static std::vector<STensor3> DDeltaEpDNonlocalVars(_numNonLocalVar);
+    static std::vector<double> DDeltaHatPDNonlocalVars(_numNonLocalVar);
+    
+    // nonlocal derivatives
+    for (int i=0; i< _numNonLocalVar; i++){
+      for (int k=0; k< nyield; k++){
+        res(k) = -Dres0DNonlocalVars[k][i];
+      }
+      res(nyield) = -Dres1DNonlocalVars[i](0,0);
+      res(nyield+1) = -Dres1DNonlocalVars[i](1,1);
+      res(nyield+2) = -Dres1DNonlocalVars[i](2,2);
+      res(nyield+3) = -Dres1DNonlocalVars[i](0,1);
+      res(nyield+4) = -Dres1DNonlocalVars[i](0,2);
+      res(nyield+5) = -Dres1DNonlocalVars[i](1,2);
+      res(nyield+6) = -Dres2DNonlocalVars[i];
+      
+      invJac.mult(res,sol);
+    
+      DDeltaEpDNonlocalVars[i](0,0) = sol(0);
+      DDeltaEpDNonlocalVars[i](1,1) = sol(1);
+      DDeltaEpDNonlocalVars[i](2,2) = sol(2);
+      DDeltaEpDNonlocalVars[i](0,1) = sol(3);
+      DDeltaEpDNonlocalVars[i](1,0) = sol(3);
+      DDeltaEpDNonlocalVars[i](0,2) = sol(4);
+      DDeltaEpDNonlocalVars[i](2,0) = sol(4);
+      DDeltaEpDNonlocalVars[i](1,2) = sol(5);
+      DDeltaEpDNonlocalVars[i](2,1) = sol(5);
+      DDeltaHatPDNonlocalVars[i] = sol(6+nyield);
+      
+      DlocalVarDnonlocalVar(0,i) = STensorOperation::doubledot(_I,DDeltaEpDNonlocalVars[i]);
+      DlocalVarDnonlocalVar(1,i) = DDeltaHatPDNonlocalVars[i];
+      DlocalVarDnonlocalVar(2,i) = STensorOperation::doubledot(devDeltaEp,DDeltaEpDNonlocalVars[i])*2./(3.*DeltaHatD);
+    };
+    
+    // compute tangents
+    // kcor = kcorpr - H:DeltaEp 
+    STensorOperation::multSTensor43(DKcorprDEepr, EprToF, DKcorDFdefo);
+    STensorOperation::multSTensor43Add(DKcorprDEepr,DDeltaEPDFdefo,-1.,DKcorDFdefo);
+    for (int i=0; i< _numNonLocalVar; i++){
+      STensorOperation::multSTensor43STensor3(DKcorprDEepr,DDeltaEpDNonlocalVars[i],DKcorDnonlocalVar[i],-1.);
+    }
+    // Fp = exp(DeltaEp)*Fp0
+    STensorOperation::multSTensor43(DFpDDeltaEp,DDeltaEPDFdefo,DFpDFdefo);
+    for (int i=0; i< _numNonLocalVar; i++){
+      STensorOperation::multSTensor43STensor3(DFpDDeltaEp,DDeltaEpDNonlocalVars[i],DFpDnonlocalVar[i]);
+    }
+    
+    // plastic energy DplasticEnegy = Kcor:DeltaEp
+    STensor3& DplasticEnergyDF = q1->getRefToDPlasticEnergyDF();
+    STensorOperation::multSTensor43STensor3(DKcorDFdefo,DeltaEp,DplasticEnergyDF);
+    STensorOperation::multSTensor3STensor43Add(Kcor,DDeltaEPDFdefo,1.,DplasticEnergyDF);
+    
+    for (int nl=0; nl < _numNonLocalVar; nl++){
+      q1->getRefToDPlasticEnergyDNonLocalVariable(nl) = STensorOperation::doubledot(DKcorDnonlocalVar[nl],DeltaEp)+STensorOperation::doubledot(Kcor,DDeltaEpDNonlocalVars[nl]);
+    };
+    
+    if (isThermomechanicallyCoupled()){
+      static STensor3 DDeltaEpDT;
+      static double DDeltaHatPDT;
+      
+      // dtilde_fv
+      for (int k=0; k< nyield; k++)
+      {
+        res(k) = -Dres0DT[k];
+      }
+      res(nyield) = -Dres1DT(0,0);
+      res(nyield+1) = -Dres1DT(1,1);
+      res(nyield+2) = -Dres1DT(2,2);
+      res(nyield+3) = -Dres1DT(0,1);
+      res(nyield+4) = -Dres1DT(0,2);
+      res(nyield+5) = -Dres1DT(1,2);
+      res(nyield+6) = -Dres2DT;
+      
+      invJac.mult(res,sol);
+    
+      DDeltaEpDT(0,0) = sol(0);
+      DDeltaEpDT(1,1) = sol(1);
+      DDeltaEpDT(2,2) = sol(2);
+      DDeltaEpDT(0,1) = sol(3);
+      DDeltaEpDT(1,0) = sol(3);
+      DDeltaEpDT(0,2) = sol(4);
+      DDeltaEpDT(2,0) = sol(4);
+      DDeltaEpDT(1,2) = sol(5);
+      DDeltaEpDT(2,1) = sol(5);
+      DDeltaHatPDT = sol(6+nyield);
+      
+      (*DlocalVarDT)(0,0) = STensorOperation::doubledot(_I,DDeltaEpDT);
+      (*DlocalVarDT)(1,0) = DDeltaHatPDT;
+      (*DlocalVarDT)(2,0) = STensorOperation::doubledot(devDeltaEp,DDeltaEpDT)*2./(3.*DeltaHatD);
+      
+      // using Kcor = Kcorpr - HT:DeltaEp
+      *DKcorDT = correctedDKcorDT;
+      STensorOperation::multSTensor43STensor3Add(DKcorprDEepr,DDeltaEpDT,-1.,*DKcorDT);
+      // for Fp
+      STensorOperation::multSTensor43STensor3(DFpDDeltaEp,DDeltaEpDT,*DFpDT);
+      // for plastic energy
+      double& DplasticEnergyDT = q1->getRefToDPlasticEnergyDT();
+      DplasticEnergyDT =  STensorOperation::doubledot(*DKcorDT,DeltaEp)+ STensorOperation::doubledot(Kcor,DDeltaEpDT);
+    }
+  };
+  return true;
+};
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::tangentComputation_aniso(STensor43& dFedF, std::vector<STensor3>& dFeDNonlocalVar, STensor43& dStressDF,
+                              std::vector<STensor3>& dStressDNonlocalVar, std::vector<STensor3>& DLocalVardF,
+                              const bool plastic,
+                              const STensor3& F,  // current F
+                              const STensor3& corKir,  // cor Kir
+                              const STensor3& S, //  second PK
+                              const STensor3& Fepr, const STensor3& Fppr, // predictor
+                              const STensor43& Lpr,
+                              const STensor3& Fe, const STensor3& Fp, // corrector
+                              const STensor43& L, const STensor63& dL, // corrector value
+                              const STensor43& DcorKirDF, const std::vector<STensor3>& DcorKirDNonlocalVar,  // small strain tangents
+                              const STensor43& dFpdF, const std::vector<STensor3>& DFpDNonlocalVar,
+                              const std::vector<STensor3>& DLocalVarDFdefo,
+                              const STensor3& Fpinv
+                              ) const{
+  // P = Fe. (Kcor:Le) . invFp
+  // need to compute dFedF, dKcordF, dinvFpdF, dLedF
+  for (int i=0; i< _numNonLocalVar; i++){
+    DLocalVardF[i] = DLocalVarDFdefo[i];
+  }
+
+
+  // done DcorKirDF, DcorKirDtildefV, DFpDF, DFpDtildefV
+
+  static STensor43 DinvFpdF;
+  static std::vector<STensor3> DinvFpDNonlocalVar;
+  if (DinvFpDNonlocalVar.size() != _numNonLocalVar)
+    DinvFpDNonlocalVar.resize(_numNonLocalVar);
+
+  STensorOperation::zero(DinvFpdF);
+  for (int il=0; il< _numNonLocalVar; il++){
+    STensorOperation::zero(DinvFpDNonlocalVar[il]);
+  }
+  if (plastic){
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int p=0; p<3; p++){
+          for (int q=0; q<3; q++){
+            for (int il=0; il< _numNonLocalVar; il++){
+              DinvFpDNonlocalVar[il](i,j) -= Fpinv(i,p)*DFpDNonlocalVar[il](p,q)*Fpinv(q,j);
+            }
+
+            for (int k=0; k<3; k++){
+              for (int l=0; l<3; l++){
+                DinvFpdF(i,j,k,l) -= Fpinv(i,p)*dFpdF(p,q,k,l)*Fpinv(q,j);
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+
+  STensorOperation::zero(dFedF);
+  for (int il=0; il < _numNonLocalVar; il++){
+    STensorOperation::zero(dFeDNonlocalVar[il]);
+  }
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int k=0; k<3; k++){
+        dFedF(i,j,i,k) += Fpinv(k,j);
+        if (plastic){
+          for (int il=0; il<_numNonLocalVar; il++){
+            dFeDNonlocalVar[il](i,j) += F(i,k)*DinvFpDNonlocalVar[il](k,j);
+          }
+          for (int l=0; l<3; l++){
+            for (int p=0; p<3; p++){
+              dFedF(i,j,k,l) += F(i,p)*DinvFpdF(p,j,k,l);
+            }
+          }
+        }
+      }
+    }
+  }
+  static STensor63 DLDF;
+  static std::vector<STensor43> DLDNonlocalVar;
+  if (DLDNonlocalVar.size() != _numNonLocalVar){
+    DLDNonlocalVar.resize(_numNonLocalVar);
+  }
+  STensorOperation::zero(DLDF);
+  for (int il=0; il< _numNonLocalVar; il++){
+    STensorOperation::zero(DLDNonlocalVar[il]);
+  }
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int k=0; k<3; k++){
+        for (int l=0; l<3; l++){
+          for (int r=0; r<3; r++){
+            for (int s=0; s<3; s++){
+              for (int a=0; a<3; a++){
+                for (int il=0; il< _numNonLocalVar; il++){
+                  DLDNonlocalVar[il](i,j,k,l) += dL(i,j,k,l,r,s)*2.*Fe(a,r)*dFeDNonlocalVar[il](a,s);
+                }
+                for (int p=0; p<3; p++){
+                  for (int q=0; q<3; q++){
+                    DLDF(i,j,k,l,p,q) += dL(i,j,k,l,r,s)*2.*Fe(a,r)*dFedF(a,s,p,q);
+                  }
+                }
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+  //
+
+  static STensor43 DSDF; // S = corKir:L
+  static std::vector<STensor3> DSDNonlocalVar;
+  if (DSDNonlocalVar.size() != _numNonLocalVar){
+    DSDNonlocalVar.resize(_numNonLocalVar);
+  }
+  STensorOperation::zero(DSDF);
+  for (int il=0; il<_numNonLocalVar; il++){
+    STensorOperation::zero(DSDNonlocalVar[il]);
+  }
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int r=0; r<3; r++){
+        for (int s=0; s<3; s++){
+          for (int il=0; il<_numNonLocalVar; il++){
+            DSDNonlocalVar[il](i,j) += DcorKirDNonlocalVar[il](r,s)*L(r,s,i,j) + corKir(r,s)*DLDNonlocalVar[il](r,s,i,j);
+          }
+          for (int k=0; k<3; k++){
+            for (int l=0; l<3; l++){
+              DSDF(i,j,k,l) += DcorKirDF(r,s,k,l)*L(r,s,i,j) + corKir(r,s)*DLDF(r,s,i,j,k,l);
+            }
+          }
+        }
+      }
+    }
+  }
+
+
+  // compute mechanical tengent
+  STensorOperation::zero(dStressDF);
+  for (int il=0; il<_numNonLocalVar; il++){
+    STensorOperation::zero(dStressDNonlocalVar[il]);
+  }
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int k=0; k<3; k++){
+        for (int l=0; l<3; l++){
+          for (int il=0; il<_numNonLocalVar; il++){
+            dStressDNonlocalVar[il](i,j) += (dFeDNonlocalVar[il](i,k)*S(k,l)*Fpinv(j,l) + Fe(i,k)*DSDNonlocalVar[il](k,l)*Fpinv(j,l)+Fe(i,k)*S(k,l)*DinvFpDNonlocalVar[il](j,l));
+          }
+          for (int p=0; p<3; p++){
+            for (int q=0; q<3; q++){
+              dStressDF(i,j,p,q) += (dFedF(i,k,p,q)*S(k,l)*Fpinv(j,l) + Fe(i,k)*DSDF(k,l,p,q)*Fpinv(j,l)+Fe(i,k)*S(k,l)*DinvFpdF(j,l,p,q));
+            }
+          }
+        }
+      }
+    }
+  }
+};
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::tangentComputationWithTemperature_aniso(STensor43& dFedF, std::vector<STensor3>& dFeDNonlocalVar, STensor43& dStressDF,
+                                std::vector<STensor3>& dStressDNonlocalVar, STensor3& dStressDT,
+                                std::vector<STensor3>& DLocalVardF,
+                                const bool plastic,
+                                const STensor3& F,  // current F
+                                const STensor3& corKir,  // cor Kir
+                                const STensor3& S, //  second PK
+                                const STensor3& Fepr, const STensor3& Fppr, // predictor
+                                const STensor43& Lpr,
+                                const STensor3& Fe, const STensor3& Fp, // corrector
+                                const STensor43& L, const STensor63& dL, // corrector value
+                                const STensor43& DcorKirDFdefo, const std::vector<STensor3>& DcorKirDNonlocalVar, const STensor3& DcorKirDT, // small strain tangents
+                                const STensor43& dFpDFdefo, const std::vector<STensor3>& DFpDNonlocalVar, const STensor3& DFpDT,
+                                const std::vector<STensor3>& DLocalVarDFdefo,
+                                const STensor3& Fpinv
+                                ) const{
+
+  static STensor3 DinvFpDT;
+  STensorOperation::zero(DinvFpDT);//---added
+
+  if(plastic){
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int p=0; p<3; p++){
+          for (int q=0; q<3; q++){
+             DinvFpDT(i,j) -= Fpinv(i,p)*DFpDT(p,q)*Fpinv(q,j);
+          }
+        }
+      }
+    }
+  }
+
+  static STensor3 dFeDT;
+  STensorOperation::zero(dFeDT);
+
+
+  if(plastic){
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int k=0; k<3; k++){
+          dFeDT(i,j) += F(i,k)*DinvFpDT(k,j);
+        }
+      }
+    }
+  }
+
+  static STensor43 DLDT;
+  STensorOperation::zero(DLDT);
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int k=0; k<3; k++){
+        for (int l=0; l<3; l++){
+          for (int r=0; r<3; r++){
+            for (int s=0; s<3; s++){
+              for (int a=0; a<3; a++){
+                DLDT(i,j,k,l) += dL(i,j,k,l,r,s)*2.*Fe(a,r)*dFeDT(a,s);
+              }
+            }
+          }
+        }
+      }
+    }
+  }
+
+  static STensor3 DSDT;
+  STensorOperation::zero(DSDT);
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int r=0; r<3; r++){
+        for (int s=0; s<3; s++){
+          DSDT(i,j) += DcorKirDT(r,s)*L(r,s,i,j) + corKir(r,s)*DLDT(r,s,i,j);
+        }
+      }
+    }
+  }
+
+  STensorOperation::zero(dStressDT);
+  for (int i=0; i<3; i++){
+    for (int j=0; j<3; j++){
+      for (int k=0; k<3; k++){
+        for (int l=0; l<3; l++){
+           dStressDT(i,j) += (dFeDT(i,k)*S(k,l)*Fpinv(j,l) + Fe(i,k)*DSDT(k,l)*Fpinv(j,l)+Fe(i,k)*S(k,l)*DinvFpDT(j,l));
+        }
+      }
+    }
+  }
+
+  tangentComputation_aniso(dFedF,dFeDNonlocalVar,dStressDF,dStressDNonlocalVar,DLocalVardF,plastic,F,corKir,
+                   S,Fepr,Fppr,Lpr,Fe,Fp,L,dL,DcorKirDFdefo,DcorKirDNonlocalVar,dFpDFdefo,
+                   DFpDNonlocalVar,DLocalVarDFdefo,Fpinv);
+
+};
+
+void mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS::I1J2J3_predictorCorrector_NonLocal(const STensor3& F0,         // initial deformation gradient (input @ time n)
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                            STensor3 &P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                                                        // contains the initial values on input
+                            const IPNonLocalPorosity *ipvprev,       // array of initial internal variable
+                            IPNonLocalPorosity *ipvcur,             // updated array of internal variable (in ipvcur on output),
+                            STensor43 &Tangent,         // constitutive tangents (output)
+                            std::vector<STensor3>  &dLocalVarDF,
+                            std::vector<STensor3>  &dStressDNonLocalVar,
+                            fullMatrix<double>    &dLocalVarDNonLocalVar,
+                            const bool stiff,                   // if true compute the tangents
+                            STensor43& dFedF, std::vector<STensor3>& dFeDNonLocalVar,
+                            STensor3*  dStressDT,
+                            fullMatrix<double>* dLocalVarDT,
+                            const double T0 ,const double T
+                           ) const{
+
+  // starting from elastic state
+  I1J2J3_copyInternalVariableForElasticState(ipvcur,ipvprev,T);
+  //
+  double& R  = ipvcur->getRefToCurrentViscoplasticYieldStress();
+  R= ipvcur->getConstRefToIPJ2IsotropicHardening().getR();
+ 
+  const STensor3* Fp0 = &(ipvprev->getConstRefToFp());
+  STensor3& Fp1 = ipvcur->getRefToFp();
+  double& fV1 = ipvcur->getRefToLocalPorosity();
+  STensor3& Ee = ipvcur->getRefToElasticDeformation();
+  STensor3& corKir = ipvcur->getRefToCorotationalKirchhoffStress();
+
+  // elastic predictor
+  static STensor3 kcorprDev, Fe, Fepr, Ce, Cepr, Epr;
+  static double ppr;
+  static STensor43 Lepr, Le;
+  static STensor63 dLepr, dLe;
+
+
+  static STensor3 corKirpr;
+  static STensor43 DcorKirprDEpr,DkcorprDevDEpr,DcorKirDEpr;
+  static STensor43 DcorKirDFdefo, DFpDFdefo;
+  static STensor3 DpprDEpr;
+  static STensor3 DcorKirDT, DcorKirprDT, DkcorprDevDT;
+  static STensor3 DFpDT;
+  static double dpprDT;
+
+  static std::vector<STensor3> DcorKirDNonLocalVar, DFpDNonLocalVar, DLocalVarDFdefo;
+  if (DcorKirDNonLocalVar.size() != _numNonLocalVar){
+    DcorKirDNonLocalVar.resize(_numNonLocalVar);
+    DFpDNonLocalVar.resize(_numNonLocalVar);
+    DLocalVarDFdefo.resize(_numNonLocalVar);
+  };
+  
+  ipvcur->getRefToConstitutiveSuccessFlag() = true;
+
+  // elastic predictor
+  bool okElast = elasticPredictor(F1,*Fp0,corKirpr,kcorprDev,ppr,DcorKirprDEpr,DkcorprDevDEpr,DpprDEpr,Fepr,Cepr,Epr,Lepr,dLepr,true,
+                  &T,&DcorKirprDT,&DkcorprDevDT,&dpprDT);
+                  
+  if (!okElast)
+  {
+    P(0,0) = P(1,1) = P(2,2)= sqrt(-1.); // to exist NR and performed next step with a smaller incremenet
+    ipvcur->getRefToConstitutiveSuccessFlag() = false;
+    return;
+  }
+  // elastic only
+  corKir = corKirpr;
+  Fe = Fepr;
+  Ce = Cepr;
+  Ee = Epr;
+  Le = Lepr;
+  dLe = dLepr;
+  
+  static STensor43 EprToF;
+  if (stiff){
+    static STensor3 invFp0;
+    STensorOperation::inverseSTensor3(*Fp0,invFp0);
+    for (int i=0; i<3; i++){
+      for (int j=0; j<3; j++){
+        for (int k=0; k<3; k++){
+          for (int l=0; l<3; l++){
+            EprToF(i,j,k,l) = 0.;
+            for (int p=0; p<3; p++){
+              for (int q=0; q<3; q++){
+                EprToF(i,j,k,l) += Lepr(i,j,p,q)*Fepr(k,p)*invFp0(l,q);
+              }
+            }
+          }
+        }
+      }
+    }
+  
+    STensorOperation::zero(DFpDFdefo);
+    for (int il = 0; il < _numNonLocalVar; il++){
+      STensorOperation::zero(DcorKirDNonLocalVar[il]);
+      STensorOperation::zero(DFpDNonLocalVar[il]);
+      STensorOperation::zero(DLocalVarDFdefo[il]);
+      if (isThermomechanicallyCoupled()){
+        (*dLocalVarDT)(il,0) = 0.;
+      }
+    }
+    STensorOperation::zero(DFpDT);//--------added
+    STensorOperation::multSTensor43(DcorKirprDEpr, EprToF, DcorKirDFdefo);
+    DcorKirDT = DcorKirprDT;
+    dLocalVarDNonLocalVar.setAll(0.);
+
+    ipvcur->getRefToDPlasticEnergyDMatrixPlasticStrain() = 0.;
+    STensorOperation::zero(ipvcur->getRefToDPlasticEnergyDF());
+    if (isThermomechanicallyCoupled()){
+      STensorOperation::zero(ipvcur->getRefToDPlasticEnergyDT());
+    }
+    for (int i=0; i< _numNonLocalVar; i++){
+      STensorOperation::zero(ipvcur->getRefToDPlasticEnergyDNonLocalVariable(i));
+    }
+  }
+
+  // predictor
+  double kCorPrEq = sqrt(1.5*kcorprDev.dotprod());
+
+  I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(corKirpr,ipvprev,ipvcur);
+  // state anisotropic tensor
+  static STensor3 zero(0.);
+  computeRotatedAnisotropicTensor(F1, zero,ipvprev,ipvcur, true);
+
+  // check with previous value
+  bool plastic = I1J2J3_withPlastic_aniso(F1,corKirpr,R,ipvprev,ipvcur,&T);
+  bool correctorOK = false;
+  if (plastic){
+    correctorOK = I1J2J3_plasticCorrector_NonLocal_aniso(F1,corKirpr,ipvprev,ipvcur,
+                    Fe,Ce,Ee,Le,dLe,EprToF,
+                    stiff,DcorKirprDEpr,
+                    DcorKirDFdefo,DcorKirDNonLocalVar,
+                    DFpDFdefo,DFpDNonLocalVar,
+                    DLocalVarDFdefo,dLocalVarDNonLocalVar,
+                    &T,&DcorKirprDT,&DcorKirDT,&DFpDT,dLocalVarDT);
+    // subsetepping
+    if (!correctorOK and _withSubstepping){
+      #ifdef _DEBUG
+      printf("start substepping\n");
+      #endif //_DEBUG
+      // substepping devide by 0 untile converge
+      int numSubStep = 2.;
+      int numAttempt = 0;
+      static STensor3 dF, Fcur;
+      dF = F1;
+      dF -= F0;
+      
+      double DeltaHatQNonLocal = ipvcur->getNonLocalVolumetricPlasticStrain() - ipvprev->getNonLocalVolumetricPlasticStrain();
+      double DeltaHatDNonLocal = ipvcur->getNonLocalDeviatoricPlasticStrain() - ipvprev->getNonLocalDeviatoricPlasticStrain();
+      double DeltaHatPNonLocal = ipvcur->getNonLocalMatrixPlasticStrain() - ipvprev->getNonLocalMatrixPlasticStrain();
+
+      double dT,Tcur; 
+      dT = T - T0;
+      static IPNonLocalPorosity* ipvTemp = static_cast<IPNonLocalPorosity*>(ipvprev->clone());
+      
+      while (true){
+        bool success = true;
+        int iter = 0;
+        ipvTemp->operator =(*dynamic_cast<const IPVariable*>(ipvprev)); // take privious value
+
+        while (iter < numSubStep){
+
+          iter++;
+          double fact = ((double)iter)/(double)numSubStep;
+          //Msg::Info("substepping step %d of %d fact = %e",iter,numSubStep,fact);
+          bool estimateStiff = false;
+          if (iter == numSubStep){
+            estimateStiff = stiff;
+          }
+
+          // modify all kinematic variable
+          Fcur = F0;
+          Fcur.daxpy(dF,fact);
+          ipvcur->getRefToNonLocalVolumetricPlasticStrain() = ipvprev->getNonLocalVolumetricPlasticStrain() + fact*DeltaHatQNonLocal;
+          ipvcur->getRefToNonLocalDeviatoricPlasticStrain() = ipvprev->getNonLocalDeviatoricPlasticStrain() + fact*DeltaHatDNonLocal;
+          ipvcur->getRefToNonLocalMatrixPlasticStrain() = ipvprev->getNonLocalMatrixPlasticStrain() + fact*DeltaHatPNonLocal;
+          Tcur = T0 + fact*dT;//------for temperature substepping
+          ipvcur->setTemperature(Tcur);
+          
+          I1J2J3_copyInternalVariableForElasticState(ipvcur,ipvTemp,Tcur);
+      
+          //elastic predictor
+          Fp0 = &ipvTemp->getConstRefToFp();
+          okElast =  elasticPredictor(Fcur,*Fp0,corKirpr,kcorprDev,ppr,DcorKirprDEpr,DkcorprDevDEpr,DpprDEpr,Fepr,Cepr,Epr,Lepr,dLepr,estimateStiff,
+                          &Tcur,&DcorKirprDT,&DkcorprDevDT,&dpprDT);
+          if (!okElast)
+          {
+            ipvcur->getRefToConstitutiveSuccessFlag() = false;
+            P(0,0) = P(1,1) = P(2,2)= sqrt(-1.); // to exist NR and performed next step with a smaller incremenet
+            return;
+          }
+          //check yield condition
+          I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(corKirpr,ipvTemp,ipvcur);
+
+          plastic =I1J2J3_withPlastic_aniso(Fcur,corKirpr,R,ipvTemp,ipvcur,&T);
+
+          if (plastic){
+            correctorOK = I1J2J3_plasticCorrector_NonLocal_aniso(F1,corKirpr,ipvTemp,ipvcur,
+                    Fe,Ce,Ee,Le,dLe,EprToF,
+                    stiff,DcorKirprDEpr,
+                    DcorKirDFdefo,DcorKirDNonLocalVar,
+                    DFpDFdefo,DFpDNonLocalVar,
+                    DLocalVarDFdefo,dLocalVarDNonLocalVar,
+                    &T,&DcorKirprDT,&DcorKirDT,&DFpDT,dLocalVarDT);
+
+            if (!correctorOK){
+              success = false;
+              break;
+            }
+          }
+
+          // next step
+          if (iter < numSubStep){
+            ipvTemp->operator =(*dynamic_cast<const IPVariable*>(ipvcur));
+          }
+        }
+        if (!success){
+          numSubStep *= 2;
+          numAttempt++;
+          #ifdef _DEBUG
+          printf("substeping is not converged, decrease number of step\n");
+          #endif //_DEBUG
+        }
+        else{
+          #ifdef _DEBUG
+          printf("substeping with success\n");
+          #endif //DEBUG
+          correctorOK = true;
+          plastic = true;
+          break;
+        }
+        if (numAttempt > _maxAttemptSubstepping){
+          #ifdef _DEBUG
+          printf("maximal attemp substepping is reached\n");
+          #endif //_DEBUG
+          correctorOK = false;
+          plastic = true;
+          break;
+        }
+      }
+    }
+  }
+
+  if (plastic and !correctorOK){
+    P(0,0) = sqrt(-1.); // to exist NR and performed next step with a smaller incremenet
+    ipvcur->getRefToConstitutiveSuccessFlag() = false;
+    return;
+  }
+
+
+  // update first PK stress
+  static STensor3 S, FeS, invFp;
+  STensorOperation::inverseSTensor3(Fp1,invFp);
+  STensorOperation::multSTensor3STensor43(corKir,Le,S);
+  STensorOperation::multSTensor3(Fe,S,FeS);
+  STensorOperation::multSTensor3SecondTranspose(FeS,invFp,P);
+
+  // elastic energy
+  ipvcur->getRefToElasticEnergy()= this->deformationEnergy(Ce,&T);
+  if (this->getMacroSolver()->withPathFollowing()){
+    // irreversible energy
+    if ((this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::PLASTIC_ENERGY) or
+             (this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::DISSIPATION_ENERGY)) {
+      ipvcur->getRefToIrreversibleEnergy() = ipvprev->irreversibleEnergy()+ ipvcur->plasticEnergy() - ipvprev->plasticEnergy();
+    }
+    else{
+      ipvcur->getRefToIrreversibleEnergy() = 0.;
+    }
+  };
+
+  ipvcur->getRefToDissipationActive() = plastic;
+
+  if (stiff)
+  {
+    if(isThermomechanicallyCoupled()){
+      tangentComputationWithTemperature_aniso(dFedF,dFeDNonLocalVar,Tangent,dStressDNonLocalVar, *dStressDT, dLocalVarDF,
+                           plastic,F1,corKir, S, Fepr,  *Fp0, Lepr,
+                           Fe,Fp1,Le, dLe,
+                           DcorKirDFdefo, DcorKirDNonLocalVar, DcorKirDT,DFpDFdefo, DFpDNonLocalVar, DFpDT, DLocalVarDFdefo,
+                           invFp);
+    }
+    else{
+       tangentComputation_aniso(dFedF,dFeDNonLocalVar,Tangent,dStressDNonLocalVar, dLocalVarDF,
+                           plastic,F1,corKir, S, Fepr,  *Fp0, Lepr,
+                           Fe,Fp1,Le, dLe,
+                           DcorKirDFdefo, DcorKirDNonLocalVar,DFpDFdefo, DFpDNonLocalVar, DLocalVarDFdefo,
+                           invFp);
+    }
+    
+
+    if (this->getMacroSolver()->withPathFollowing()){
+      // irreversible energy
+      if ((this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::PLASTIC_ENERGY) or
+               (this->getMacroSolver()->getPathFollowingLocalIncrementType() == pathFollowingManager::DISSIPATION_ENERGY)) {
+        ipvcur->getRefToDIrreversibleEnergyDF() = ipvcur->getConstRefToDPlasticEnergyDF();
+        for (int i=0; i< _numNonLocalVar; i++){
+          if (ipvcur->getNonLocalToLocal()){
+            ipvcur->getRefToDIrreversibleEnergyDNonLocalVariable(i) = 0.;
+          }
+          else{
+            ipvcur->getRefToDIrreversibleEnergyDNonLocalVariable(i) = ipvcur->getConstRefToDPlasticEnergyDNonLocalVariable(i);
+          }
+        }
+      }
+      else{
+        Msg::Error("Path following method is only contructed with dissipation based on plastic energy");
+      }
+    };
   }
 };
\ No newline at end of file
diff --git a/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.h b/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.h
index 16ba5b8ee1a1d3359f529d938b6fd4fb1e38e31a..4a108ca846c82a5bf1648efdd9acac3e6be4a62c 100644
--- a/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.h
+++ b/NonLinearSolver/materialLaw/mlawNonLocalPorousCoupled.h
@@ -295,22 +295,119 @@ class mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS : public mlawNonLocalPorou
     virtual ~mlawNonLocalPorousCoupledHill48LawWithMPSAndMSS(){}
     virtual void setYieldParameters(const std::vector<double>& params);
     
+    virtual bool I1J2J3_withPlastic_aniso(const STensor3& F, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T = NULL) const;
+    virtual void I1J2J3_computeResidual_aniso(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value
+                                        const STensor3& sig,  const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1,
+                                        const std::vector<double>& Y, // void parameters
+                                        std::vector<double>& res0, STensor3& res1, double& res2,
+                                        bool stiff,
+                                        const STensor43& DsigDDeltaEp, const double H,
+                                        const std::vector<STensor3>& DYDsig, // stress -dependence
+                                        std::vector<STensor3>& Dres0DDeltaEp, STensor43& Dres1DDeltaEp, STensor3& Dres2DDeltaEp,
+                                        std::vector<double>& Dres0DDeltaPlasticMult,std::vector<STensor3>& Dres1DDeltaPlasticMult, std::vector<double>& Dres2DDeltaPlasticMult,
+                                        std::vector<double>& Dres0DDeltaHatP, STensor3& Dres1DDeltaHatP, double& Dres2DDeltaHatP,
+                                        const double* T=NULL) const;
+                                        
     
-    virtual void I1J2J3_voidCharacteristicsEvolution(const STensor3& kcor, double DeltaHatQ, double DeltaHatP, double DeltaHatD,
-                                                  const IPNonLocalPorosity *q0, IPNonLocalPorosity* q1,
-                                                  bool stiff,
-                                                  std::vector<double>* DyieldfVDVars,
-                                                  STensor3* DyieldfVDsig
-                                                  ) const;
-
-
-    virtual double I1J2J3_yieldFunction(const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T = NULL,
+    virtual void I1J2J3_computeDResidual_aniso(const STensor3& DeltaEp, const std::vector<double>& DeltaPlasticMult, const double DeltaHatP, // unknown value
+                                const STensor3& sig, const double R,  const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1,
+                                const STensor43& DsigDEepr, const double H, const double dwp,
+                                const std::vector<double>& Y, // void parameters
+                                const std::vector<STensor3>& DYDsig,
+                                const std::vector<std::vector<double> >& DYDnonlocalVars, const STensor43& EprToF,
+                                std::vector<std::vector<double> >& Dres0DNonlocalVars, std::vector<STensor3>& Dres0DFdefo,
+                                std::vector<STensor3>& Dres1DNonlocalVars, STensor43& Dres1DFdefo,
+                                std::vector<double>& Dres2DNonlocalVars, STensor3& Dres2DFdefo,
+                                const double* T=NULL, const double* DRDT=NULL, const STensor3* DsigDT=NULL,
+                                std::vector<double>* Dres0DT=NULL, STensor3* Dres1DT=NULL, double* Dres2DT=NULL) const;
+    
+    virtual void I1J2J3_voidCharacteristicsEvolution_NonLocal_aniso(const STensor3& sig,
+                                                const IPNonLocalPorosity *q0, IPNonLocalPorosity* q1,
+                                                bool stiff = false,
+                                                std::vector<double>* Y = NULL,
+                                                std::vector<STensor3>* DYDsig = NULL,
+                                                std::vector<std::vector<double> >* DYDNonlocalVars = NULL
+                                                ) const;
+    virtual void computeAnisotropyRotation(STensor3& Rtotal, const STensor3& F, const STensor3& DeltaEp, const STensor3& Fp0, 
+                                                bool stiff=false, STensor43* DMDF=NULL, STensor43* DMDDeltaEp=NULL) const;
+    virtual void computeRotatedAnisotropicTensor(const STensor3& F, const STensor3& DeltaEp,  const IPNonLocalPorosity* q0, IPNonLocalPorosity* q1, bool stiff) const;
+    virtual double I1J2J3_yieldFunction_aniso(const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T = NULL,
                                         bool diff=false, STensor3* DFDkcor=NULL, double* DFDR=NULL, std::vector<double>* DFDY=NULL, 
+                                        STensor3* DFDDeltaEp = NULL, STensor3* DFDFdefo = NULL, 
                                         bool withThermic=false, double *DFDT=NULL) const;
-    virtual void I1J2J3_getYieldNormal(STensor3& Np, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T = NULL,
+    virtual void I1J2J3_getYieldNormal_aniso(STensor3& Np, const STensor3& kcor, const double R, const IPNonLocalPorosity* q0, const IPNonLocalPorosity* q1, const double* T = NULL,
                                         bool diff=false, STensor43* DNpDkcor=NULL, STensor3* DNpDR=NULL, std::vector<STensor3>* DNpDY=NULL,
+                                        STensor43* DNpDDeltaEp=NULL, STensor43* DNpDFdefo=NULL,
                                         bool withThermic=false, STensor3* DNpDT=NULL  
                                         ) const;
+    virtual void checkCoalescence(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const double* T) const;
+    virtual void forceCoalescence(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const double* T) const;
+    virtual bool checkCrackCriterion(IPNonLocalPorosity* q1, const IPNonLocalPorosity *q0, const STensor3& Fcur, const SVector3& normal, double delayFactor, const double* T) const;
+    
+
+    virtual bool I1J2J3_plasticCorrector_NonLocal_aniso(const STensor3& F1,
+                                  const STensor3& Kcorpr,
+                                  const IPNonLocalPorosity *q0, IPNonLocalPorosity *q1,
+                                  STensor3& Fe, STensor3& Ce, STensor3& Ee, STensor43& Le, STensor63& dLe,
+                                  const STensor43& EprToF,
+                                  const bool stiff,
+                                  const STensor43& DKcorprDEepr, // predictor elastic tangent
+                                  STensor43& DKcorDF, std::vector<STensor3>& DKcorDnonlocalVar,
+                                  STensor43& DFpDFdefo, std::vector<STensor3>& DFpDnonlocalVar,
+                                  std::vector<STensor3>& DlocalVarDFdefo, fullMatrix<double>& DlocalVarDnonlocalVar,
+                                  const double* T,
+                                  const STensor3* DKcorprDT,
+                                  STensor3* DKcorDT, STensor3* DFpDT, fullMatrix<double>* DlocalVarDT
+                                  ) const;
+    
+    virtual void tangentComputation_aniso(STensor43& dFedF, std::vector<STensor3>& dFeDNonlocalVar, STensor43& dStressDF,
+                                std::vector<STensor3>& dStressDNonlocalVar,
+                                std::vector<STensor3>& DLocalVardF,
+                                const bool plastic,
+                                const STensor3& F,  // current F
+                                const STensor3& corKir,  // cor Kir
+                                const STensor3& S, //  second PK
+                                const STensor3& Fepr, const STensor3& Fppr, // predictor
+                                const STensor43& Lpr,
+                                const STensor3& Fe, const STensor3& Fp, // corrector
+                                const STensor43& L, const STensor63& dL, // corrector value
+                                const STensor43& DcorKirDFdefo, const std::vector<STensor3>& DcorKirDNonlocalVar,  // small strain tangents
+                                const STensor43& dFpDFdefo, const std::vector<STensor3>& DFpDNonlocalVar,
+                                const std::vector<STensor3>& DLocalVarDFdefo,
+                                const STensor3& Fpinv
+                                ) const;
+    virtual void tangentComputationWithTemperature_aniso(STensor43& dFedF, std::vector<STensor3>& dFeDNonlocalVar, STensor43& dStressDF,
+                                std::vector<STensor3>& dStressDNonlocalVar, STensor3& dStressDT,
+                                std::vector<STensor3>& DLocalVardF,
+                                const bool plastic,
+                                const STensor3& F,  // current F
+                                const STensor3& corKir,  // cor Kir
+                                const STensor3& S, //  second PK
+                                const STensor3& Fepr, const STensor3& Fppr, // predictor
+                                const STensor43& Lpr,
+                                const STensor3& Fe, const STensor3& Fp, // corrector
+                                const STensor43& L, const STensor63& dL, // corrector value
+                                const STensor43& DcorKirDFdefo, const std::vector<STensor3>& DcorKirDNonlocalVar, const STensor3& DcorKirDT, // small strain tangents
+                                const STensor43& dFpDFdefo, const std::vector<STensor3>& DFpDNonlocalVar, const STensor3& DFpDT,
+                                const std::vector<STensor3>& DLocalVarDFdefo,
+                                const STensor3& Fpinv
+                                ) const;
+                                  
+    virtual void I1J2J3_predictorCorrector_NonLocal(const STensor3& F0,         // initial deformation gradient (input @ time n)
+                            const STensor3& F1,         // updated deformation gradient (input @ time n+1)
+                            STensor3 &P,                // updated 1st Piola-Kirchhoff stress tensor (output)
+                            const IPNonLocalPorosity *ipvprev,       // array of initial internal variable
+                            IPNonLocalPorosity *ipvcur,             // updated array of internal variable (in ipvcur on output),
+                            STensor43 &Tangent,         // constitutive tangents (output)
+                            std::vector<STensor3>  &dLocalVarDF,
+                            std::vector<STensor3>  &dStressDNonLocalVar,
+                            fullMatrix<double>    &dLocalVarDNonLocalVar,
+                            const bool stiff,                   // if true compute the tangents
+                            STensor43& dFedF, std::vector<STensor3>& dFeDNonLocalVar,
+                            STensor3*  dStressDT=NULL,
+                            fullMatrix<double>* dLocalVarDT=NULL,
+                            const double T0 =0,const double T=0
+                           ) const;
 };
 
 #endif // MLAWNONLOCALPOROUSCOALESCENCE_H_
diff --git a/NonLinearSolver/materialLaw/mullinsEffect.cpp b/NonLinearSolver/materialLaw/mullinsEffect.cpp
index 50ec2a4da39a0777d63dcd795314f19fe9937c33..8cc2aeaa3e65c83f8b31dc7f69362a104a662f38 100644
--- a/NonLinearSolver/materialLaw/mullinsEffect.cpp
+++ b/NonLinearSolver/materialLaw/mullinsEffect.cpp
@@ -100,140 +100,87 @@ void negativeExponentialScaler::mullinsEffectScaling(double _psi0, double _psi,
     
   // at unloading intitiation-> eta = 1.; unloading end-> eta = eta_min; reloading -> eta = eta_min;  
     
-  double eta0 = ipvprev.getEta();
-  double _psi_max0 = ipvprev.getpsiMax();
-  double psi_cap = _psi;
-  double eta = 1., DetaDpsi_cap = 0., DDetaDpsipsi = 0., DetaDT = 0., DDetaDTT = 0.;
-  double DpsiNew_DpsiMax(0.), DDpsiNew_DpsiMaxDpsi(0.), DDpsiNew_DpsiMaxDT(0.);
-  
-  double _psi_max = std::max(_psi,_psi_max0);
-  // Msg::Error(" Inside mullinsEffectScaling, _psi = %e, _psi_max = %e !!", _psi, _psi_max);
-  
-  double Dpsi_maxDpsi_cap = 1.; // Dpsi_maxDpsi_cap = 1. if _psi_max = _psi
-  double Term = sqrt(_m*(_psi_max-eta*psi_cap));  // Term = 0. if _psi_max = _psi
-  
-  if (Term!=0){
-    
-    int ite = 0;
-    int maxite = 100; 
-    double _tol = 1e-8;
-    double DfDeta(0.), Deta(0.);
-    double f = eta + _r*(1-exp(-Term)) - 1.;
-    
-    while (fabs(f) >_tol or ite <1){
-      
-      DfDeta = 1 + _r*(-_m*psi_cap*exp(-Term)/(2*Term));
-      Deta = - f/DfDeta;
-      
-      if (eta + Deta > 1.){
-            eta = 0.99;                // NR
-        }
-        else
-          eta += Deta;
-          
-      // eta += Deta;
-      // Msg::Error(" Inside iterator, ite = %d, f = %e, DfDeta = %e, Deta = %e, eta = %e !!", ite, f, DfDeta, Deta, eta);
-  
-      Term = sqrt(_m*(_psi_max-eta*psi_cap));  
-      f = eta + _r*(1-exp(-Term)) - 1.;
-      
-      ite++;
-      if (fabs(f) <_tol) break;
-      
-      if(ite > maxite){
-          // Msg::Error("No convergence for eta in mullinsEffectScaling: ite= %d, f = %e!!",ite,f);
-          eta = sqrt(-1.);
-          return;
-      }
-    }
-    
-    Dpsi_maxDpsi_cap = 0.;
-    
-    DetaDpsi_cap = (-_r*_m*exp(-Term)/(2*Term)) * (Dpsi_maxDpsi_cap - eta) / (1 - _r*_m*exp(-Term)/(2*Term)*psi_cap);
-  }
-  else{
-    eta = 1.; 
-    DetaDpsi_cap = 0.;
-  }
+	  double r = _r;
+	  double m = _m;
 
-  ipv.set(eta,DetaDpsi_cap,DDetaDpsipsi,DetaDT,DDetaDTT,DpsiNew_DpsiMax, DDpsiNew_DpsiMaxDpsi, DDpsiNew_DpsiMaxDT);
-  ipv.setPsiMax(_psi_max);
+	  double eta0 = ipvprev.getEta();
+	  double _psi_max0 = ipvprev.getpsiMax();
+	  double psi_cap = _psi;
+	  double eta = 1., DetaDpsi_cap = 0., DDetaDpsipsi = 0., DetaDT = 0., DDetaDTT = 0.;
+	  double DpsiNew_DpsiMax(0.), DDpsiNew_DpsiMaxDpsi(0.), DDpsiNew_DpsiMaxDT(0.);
+	  double Dpsi_max_Dpsi_cap(0.), Dpsi_max_DT(0.);
+
+	  double _psi_max = std::max(_psi,_psi_max0);
+	  // Msg::Error(" Inside mullinsEffectScaling, _psi = %e, _psi_max = %e !!", _psi, _psi_max);
+
+	  if (_psi_max>0.){
+
+		// eta
+		double temp = m*(_psi_max-psi_cap);
+		eta = (1-r*sqrt(tanh(temp)));
+
+	    // derivatives
+	    if (psi_cap >= _psi_max){
+	        Dpsi_max_Dpsi_cap = 1.;
+	    }
+
+	    DetaDpsi_cap = m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) * (1- Dpsi_max_Dpsi_cap);
+
+	    double DetaDpsi_max = -m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp));
+	    DpsiNew_DpsiMax = r*( sqrt(tanh(temp)) - sqrt(tanh(m*_psi_max)) ); // definition
+	    DDpsiNew_DpsiMaxDpsi = DetaDpsi_max + r*m/2.*(pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) - pow( 1/cosh(m*_psi_max) ,2)/sqrt(tanh(m*_psi_max)) ) * Dpsi_max_Dpsi_cap;
+	  }
+
+	  ipv.set(eta,DetaDpsi_cap,DDetaDpsipsi,DetaDT,DDetaDTT,DpsiNew_DpsiMax, DDpsiNew_DpsiMaxDpsi, DDpsiNew_DpsiMaxDT);
+	  ipv.setPsiMax(_psi_max);
+	  ipv.setDpsiMax_Dpsi(Dpsi_max_Dpsi_cap);
 }
 
 void negativeExponentialScaler::mullinsEffectScaling(double _psi0, double _psi, const IPMullinsEffect &ipvprev, IPMullinsEffect &ipv, const double T, const double& dPsi_capDT) const{
    
   double r = _r*_temFunc_r->getVal(T);
   double m = _m*_temFunc_m->getVal(T);
+  double drdT = _r*_temFunc_r->getDiff(T);
+  double dmdT = _m*_temFunc_m->getDiff(T);
   
   double eta0 = ipvprev.getEta();
   double _psi_max0 = ipvprev.getpsiMax();
   double psi_cap = _psi;
   double eta = 1., DetaDpsi_cap = 0., DDetaDpsipsi = 0., DetaDT = 0., DDetaDTT = 0.;
   double DpsiNew_DpsiMax(0.), DDpsiNew_DpsiMaxDpsi(0.), DDpsiNew_DpsiMaxDT(0.);
+  double Dpsi_max_Dpsi_cap(0.), Dpsi_max_DT(0.);
   
   double _psi_max = std::max(_psi,_psi_max0);
   // Msg::Error(" Inside mullinsEffectScaling, _psi = %e, _psi_max = %e !!", _psi, _psi_max);
   
-  double Dpsi_maxDpsi_cap = 1.; // Dpsi_maxDpsi_cap = 1. if _psi_max = _psi
-  double Term = sqrt(m*(_psi_max-eta*psi_cap));  // Term = 0. if _psi_max = _psi
-  
-  if (Term!=0){
-    
-    int ite = 0;
-    int maxite = 100; 
-    double _tol = 1e-8;
-    double DfDeta(0.), Deta(0.);
-    double f = eta + r*(1-exp(-Term)) - 1.;
-    
-    while (fabs(f) >_tol or ite <1){
-      
-      DfDeta = 1 + r*(-m*psi_cap*exp(-Term)/(2*Term));
-      Deta = - f/DfDeta;
-      
-      if (eta + Deta > 1.){
-            eta = 0.99;                // NR
-        }
-        else
-          eta += Deta;
-          
-      // eta += Deta;
-      // Msg::Error(" Inside iterator, ite = %d, f = %e, DfDeta = %e, Deta = %e, eta = %e !!", ite, f, DfDeta, Deta, eta);
-  
-      Term = sqrt(m*(_psi_max-eta*psi_cap));
-      f = eta + r*(1-exp(-Term)) - 1.;
-      
-      ite++;
-      if (fabs(f) <_tol) break;
-      
-      if(ite > maxite){
-          // Msg::Error("No convergence for eta in mullinsEffectScaling: ite= %d, f = %e!!",ite,f);
-          eta = sqrt(-1.);
-          return;
-      }
+  if (_psi_max>0.){
+
+	// eta
+	double temp = m*(_psi_max-psi_cap);
+	eta = (1-r*sqrt(tanh(temp)));
+
+    // derivatives
+    if (psi_cap >= _psi_max){
+        Dpsi_max_Dpsi_cap = 1.;
+        Dpsi_max_DT = dPsi_capDT;
     }
     
-    Dpsi_maxDpsi_cap = 0.;
-    
-    DetaDpsi_cap = (-r*m*exp(-Term)/(2*Term)) * (Dpsi_maxDpsi_cap - eta) / (1 - r*m*exp(-Term)/(2*Term)*psi_cap);
-  }
-  else{
-    eta = 1.; 
-    DetaDpsi_cap = 0.;
+    DetaDpsi_cap = m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) * (1- Dpsi_max_Dpsi_cap);
+    DetaDT = -drdT*(sqrt(tanh(temp))) - dmdT*r/2.*(_psi_max-psi_cap)*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp))
+    		+ m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) * (1- Dpsi_max_Dpsi_cap)*dPsi_capDT
+			- m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) * Dpsi_max_DT;
+    
+    double DetaDpsi_max = -m*r/2.*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp));
+    DpsiNew_DpsiMax = r*( sqrt(tanh(temp)) - sqrt(tanh(m*_psi_max)) ); // definition
+    DDpsiNew_DpsiMaxDpsi = DetaDpsi_max + r*m/2.*(pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) - pow( 1/cosh(m*_psi_max) ,2)/sqrt(tanh(m*_psi_max)) ) * Dpsi_max_Dpsi_cap;
+    DDpsiNew_DpsiMaxDT = DDpsiNew_DpsiMaxDpsi*dPsi_capDT - drdT*( sqrt(tanh(temp)) - sqrt(tanh(m*_psi_max)) )
+    						+ r*dmdT/2.*( (_psi_max-psi_cap)*pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) - (_psi_max)*pow( 1/cosh(m*_psi_max) ,2)/sqrt(tanh(m*_psi_max)) )
+							+ r*m/2.*(pow( 1/cosh(temp) ,2)/sqrt(tanh(temp)) - pow( 1/cosh(m*_psi_max) ,2)/sqrt(tanh(m*_psi_max)) ) * Dpsi_max_DT;
   }
-  
-  /*
-  if (_psi<_psi_max){  // unloading
-    eta = 1. - _r*( 1. - exp( - sqrt(_m*(_psi_max-_psi)) ) );
-  }
-  else if (_psi<_psi0){  // reinitiate eta after reloading, before unloading
-    eta = 1.;
-  }
-  else{   // reloading
-    eta = 1.;
-  }*/
    
   ipv.set(eta,DetaDpsi_cap,DDetaDpsipsi,DetaDT,DDetaDTT,DpsiNew_DpsiMax, DDpsiNew_DpsiMaxDpsi, DDpsiNew_DpsiMaxDT);
   ipv.setPsiMax(_psi_max);
+  ipv.setDpsiMax_Dpsi(Dpsi_max_Dpsi_cap);
 }
 
 mullinsEffect *negativeExponentialScaler::clone() const
diff --git a/NonLinearSolver/materialLaw/mullinsEffect.h b/NonLinearSolver/materialLaw/mullinsEffect.h
index 53f3b65578dc3aa1ed9bc8b958057d3ecb833591..c985389b31a4d97414eab0db273afa43763e2ae0 100644
--- a/NonLinearSolver/materialLaw/mullinsEffect.h
+++ b/NonLinearSolver/materialLaw/mullinsEffect.h
@@ -40,7 +40,8 @@ class mullinsEffect {
 
 };
 
-// eta = 1 - r* ( 1 - exp(-sqrt(m*(psi_max-psi))) ) -> Ricker et al, 2021 (modified Zuniga, 2005)
+// eta = 1 - r* ( 1 - exp(-sqrt(m*(psi_max-psi))) ) -> Ricker et al, 2021 (modified Zuniga, 2005) - OLD and deleted
+// eta = (1-r*sqrt(tanh(m*(_psi_max-psi_cap))) (modified Wrublescki Marczak, 2015) - NEW and correct
 class negativeExponentialScaler : public mullinsEffect{
   #ifndef SWIG
   protected:
diff --git a/NonLinearSolver/materialLaw/vevp.f b/NonLinearSolver/materialLaw/vevp.f
index 8ebe81a69e5b3476d1246a59b8491461aacdfeb5..eeb7e92f2ab75c90809c9fded50b5ba3fa9e356a 100644
--- a/NonLinearSolver/materialLaw/vevp.f
+++ b/NonLinearSolver/materialLaw/vevp.f
@@ -48,18 +48,27 @@ C      INCLUDE 'ABA_PARAM.INC'
       REAL*8 STRESS(NTENS),STATEV(NSTATV),
      1     DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS),
      2     STRAN(NTENS),DSTRAN(NTENS),TIME(2),PREDEF(1),DPRED(1),
-     3     PROPS(NPROPS),DFGRD0(3,3), DFGRD1(3,3)
+     3     PROPS(NPROPS), COORDS(3),DROT(3,3),DFGRD0(3,3),
+     4     DFGRD1(3,3)
      
       REAL*8 SSE, SPD, SCD, RPL, DTIME, TEMP, CELENT, DRPLDT
       REAL*8 PNEWDT, DTEMP, R, dR, ddR
+
+      IF (PROPS(1) .GT. 2.D0) THEN
       
-      call VEVP(STRESS,STATEV,DDSDDE,STRAN,NTENS,NSTATV,PROPS,
+        call VEVP(STRESS,STATEV,DDSDDE,STRAN,NTENS,NSTATV,PROPS,
      &         NPROPS,DTIME,DSTRAN,KINC,KSTEP,NOEL,DFGRD0,DFGRD1,
      &         PNEWDT)
 
-      return
-      end
+        return
+
+      ELSE
+        call NEOHOOK(STRESS,STATEV,DDSDDE,STRAN,NTENS,NSTATV,PROPS,
+     &         NPROPS,DTIME,DSTRAN,KINC,KSTEP,NOEL,DFGRD0,DFGRD1)
+        return
 
+      END IF
+      end
 
 
 C     !--------------------------------------------------------------
@@ -83,7 +92,7 @@ C     !--------------------------------------------------------------
          REAL(prec), INTENT(IN)   :: DFGRD0(3,3), DFGRD1(3,3)
          REAL(prec), INTENT(INOUT) :: statev(nstatv)
          REAL(prec), INTENT(OUT)   :: stress(ntens)
-         REAL(prec), INTENT(OUT)   :: ddsdde(ntens,ntens), PNEWDT    
+         REAL(prec), INTENT(OUT)   :: ddsdde(ntens,ntens), PNEWDT   
 
          !Declaration of local variables
          INTEGER    :: ii, jj, O6, order
@@ -101,7 +110,8 @@ C     !--------------------------------------------------------------
          ! VE  trial variables
          REAL(prec) :: F_ve_tr(3, 3), C_ve_tr(3, 3), D_ve_tr(3, 3)
          REAL(prec) :: E_ve_tr(3, 3), dlogC_ve_tr(3,3,3,3)
-         REAL(prec) :: ddlogC_ve_tr(3,3,3,3,3,3), AA_tr(8,3,3)
+         !REAL(prec) :: ddlogC_ve_tr(3,3,3,3,3,3)
+         REAL(prec) :: AA_tr(8,3,3)
          REAL(prec) :: BB_tr(8),GGe, KKe, kappa_tr(3, 3), S_tr(3, 3)
          REAL(prec) :: temp1(3,3), tau_tr(3, 3)
          ! Variables for trial yield
@@ -111,7 +121,7 @@ C     !--------------------------------------------------------------
          REAL(prec) :: F_hat(6, 3, 3), J, F_ve_tr_hat(6, 3, 3)
          REAL(prec) :: C_ve_tr_hat(6, 3, 3), D_ve_tr_hat(6,3,3)
          REAL(prec) :: E_ve_tr_hat(6,3,3), dlogC_ve_tr_hat(6,3,3,3,3)
-         REAL(prec) :: ddlogC_ve_tr_hat(6,3,3,3,3,3,3)
+         !REAL(prec) :: ddlogC_ve_tr_hat(6,3,3,3,3,3,3)
          REAL(prec) :: AA_tr_hat(6,8,3,3)
          REAL(prec) :: BB_tr_hat(6, 8), GGe_hat(6), KKe_hat(6)
          REAL(prec) :: kappa_tr_hat(6, 3, 3), S_tr_hat(6, 3, 3)
@@ -124,7 +134,8 @@ C     !--------------------------------------------------------------
          REAL(prec) :: exp_GQ(3, 3), F_vp(3,3), F_vp_inv(3,3)
          ! VE corrected variables
          REAL(prec) :: F_ve(3, 3), C_ve(3, 3), D_ve(3, 3), E_ve(3, 3)
-         REAL(prec) :: dlogC_ve(3,3,3,3), ddlogC_ve(3,3,3,3,3,3)
+         REAL(prec) :: dlogC_ve(3,3,3,3)
+         !REAL(prec) :: ddlogC_ve(3,3,3,3,3,3)
          REAL(prec) :: AA(8,3,3), BB(8), kappa(3, 3), b(3, 3)
          REAL(prec) :: S(3, 3), temp2(3, 3), tau(3, 3)
          ! VP variables perturbated
@@ -143,7 +154,8 @@ C     !--------------------------------------------------------------
          REAL(prec) :: F_ve_hat(6,3,3), C_ve_hat(6,3,3)
          REAL(prec) :: D_ve_hat(6,3,3), E_ve_hat(6,3,3)
          REAL(prec) :: dlogC_ve_hat(6,3,3,3,3)
-         REAL(prec) :: ddlogC_ve_hat(6,3,3,3,3,3,3), AA_hat(6,8,3,3)
+         REAL(prec) ::  AA_hat(6,8,3,3)
+         !REAL(prec) :: ddlogC_ve_hat(6,3,3,3,3,3,3)
          REAL(prec) :: BB_hat(6,8), kappa_hat(6,3,3), S_hat(6,3,3)
          REAL(prec) :: temp2_hat(6,3,3), tau_hat(6,3,3)
          REAL(prec) :: tau_hat_v(6,6)
@@ -161,11 +173,11 @@ C     !--------------------------------------------------------------
         ! for the first time step (initial condition) in FFTMAD.
         ! Can be commented out for ABAQUS, If you comment out, then
         ! in abaqus use the inp file to set initial values for F_vp.
-C         IF ((KINC .EQ. 1) .AND. (KSTEP .EQ. 1)) THEN
-C          STATEV(1) = 1.D0
-C          STATEV(2) = 1.D0
-C          STATEV(3) = 1.D0
-C         END IF
+        ! IF ((KINC .EQ. 1) .AND. (KSTEP .EQ. 1)) THEN
+        !  STATEV(1) = 1.D0
+        !  STATEV(2) = 1.D0
+        !  STATEV(3) = 1.D0
+        ! END IF
 
          ! State variables at previous time step
          CALL voit2mat(STATEV(1:9), F_vp_n(:,:))
@@ -255,7 +267,7 @@ C         END IF
          ! Approximate VE log Strain (power series) at trial state 
          D_ve_tr(:,:) = C_ve_tr(:, :) - I_mat(:,:)
          CALL approx_log(D_ve_tr(:,:), order, E_ve_tr(:, :),
-     1               dlogC_ve_tr(:,:,:,:), ddlogC_ve_tr(:,:,:,:,:,:))
+     1               dlogC_ve_tr(:,:,:,:))
          E_ve_tr(:, :) = 0.5D0 * E_ve_tr(:, :)
 
          ! Calculate the corotated kirchoff stress at trial state along 
@@ -296,8 +308,7 @@ C         END IF
             ! Approximate VE log Strain at trial state 
             D_ve_tr_hat(O6, :,:) = C_ve_tr_hat(O6, :, :) - I_mat(:,:)
             CALL approx_log(D_ve_tr_hat(O6, :,:), order,
-     1        E_ve_tr_hat(O6, :, :), dlogC_ve_tr_hat(O6,:,:,:,:),
-     2        ddlogC_ve_tr_hat(O6,:,:,:,:,:,:))
+     1        E_ve_tr_hat(O6, :, :), dlogC_ve_tr_hat(O6,:,:,:,:))
             E_ve_tr_hat(O6,:, :) = 0.5D0 * E_ve_tr_hat(O6, :, :)
 
             ! Calculate the corotated kirchoff stress at trial state
@@ -375,7 +386,7 @@ C         END IF
           DO ii = 1, 6
             DO jj = 1, 6
               DDSDDE(ii, jj) = (1.D0 / (J * TOLL))
-     1                     *  (tau_tr_hat_v(jj, ii) - J*STRESS(ii)) 
+     1                     *  (tau_tr_hat_v(jj, ii) - J*STRESS(ii))
             END DO
           END DO
 
@@ -400,14 +411,14 @@ C         END IF
           GQ(:,:) = GAMMA * Q(:,:)
           CALL approx_exp(GQ(:,:), order, exp_GQ(:,:))
           CALL mat2dot(exp_GQ(:,:), F_vp_n(:,:), F_vp(:,:))
-          CALL matInv(F_vp(:,:), F_vp_inv(:,:))
+          CALL matInverse(F_vp(:,:), F_vp_inv(:,:))
           CALL mat2dot(DFGRD1(:,:), F_vp_inv(:,:), F_ve(:, :))
           CALL mat2Tdot(F_ve(:,:), F_ve(:,:), C_ve(:,:))
 
           ! Approximate VE log Strain (power series) at the corrected state
           D_ve(:,:) = C_ve(:, :) - I_mat(:,:)
           CALL approx_log(D_ve(:,:), order, E_ve(:, :),
-     1                     dlogC_ve(:,:,:,:), ddlogC_ve(:,:,:,:,:,:))
+     1                     dlogC_ve(:,:,:,:))
           E_ve(:, :) = 0.5D0 * E_ve(:, :)
 
           ! Calculate the corotated kirchoff stress at corrected state along 
@@ -513,7 +524,7 @@ C         END IF
           CALL approx_exp(GQ_hat(O6,:,:), order, exp_GQ_hat(O6,:,:))
           CALL mat2dot(exp_GQ_hat(O6, :,:), F_vp_n(:,:),
      1                  F_vp_hat(O6,:,:))
-          CALL matInv(F_vp_hat(O6,:,:), F_vp_inv_hat(O6,:,:))
+          CALL matInverse(F_vp_hat(O6,:,:), F_vp_inv_hat(O6,:,:))
           CALL mat2dot(F_hat(O6, :,:), F_vp_inv_hat(O6,:,:),
      1      F_ve_hat(O6, :, :))
           CALL mat2Tdot(F_ve_hat(O6,:,:), F_ve_hat(O6,:,:),
@@ -523,8 +534,7 @@ C         END IF
           ! Approximate VE log Strain (power series) at the purturbated state
           D_ve_hat(O6,:,:) = C_ve_hat(O6,:, :) - I_mat(:,:)
           CALL approx_log(D_ve_hat(O6,:,:), order, E_ve_hat(O6,:, :),
-     1                     dlogC_ve_hat(O6,:,:,:,:),
-     2                ddlogC_ve_hat(O6,:,:,:,:,:,:))
+     1                     dlogC_ve_hat(O6,:,:,:,:))
           E_ve_hat(O6,:, :) = 0.5D0 * E_ve_hat(O6,:, :)
 
           ! Calculate the corotated kirchoff stress at purturbed state along 
@@ -570,6 +580,119 @@ C         END IF
           RETURN
        END SUBROUTINE VEVP
 
+C     !--------------------------------------------------------------
+C     !   UMAT SUBROUTINE FOR ISOTROPIC NEO HOOKIAN MATERIAL MODEL
+C     !--------------------------------------------------------------
+
+      SUBROUTINE NEOHOOK(STRESS,STATEV,DDSDDE,STRAN,NTENS,NSTATV,
+     1   PROPS,NPROPS,DTIME,DSTRAN,KINC,KSTEP,NOEL,DFGRD0,DFGRD1)
+
+
+        IMPLICIT NONE
+
+        INTEGER, PARAMETER :: double=kind(1.d0)
+        INTEGER, PARAMETER :: prec=double
+       
+        INTEGER, INTENT(IN)      :: ntens,nprops,nstatv
+        INTEGER, INTENT(IN)      :: kinc,kstep,noel
+        REAL(prec), INTENT(IN)   :: stran(ntens), dstran(ntens)
+        REAL(prec), INTENT(IN)   :: props(nprops), dtime
+        REAL(prec), INTENT(IN)   :: DFGRD0(3,3), DFGRD1(3,3)
+        REAL(prec), INTENT(INOUT) :: statev(nstatv)
+        REAL(prec), INTENT(OUT)   :: stress(ntens)
+        REAL(prec), INTENT(OUT)   :: ddsdde(ntens,ntens)
+
+        !List of internal variables
+        INTEGER    :: ii, jj, mm, K1, ll, m2v(3, 3)
+        REAL(prec) :: I(6), B(6), B_bar(6), dev_B_bar(6)
+        REAL(prec) :: F_inv(3, 3)
+        REAL(prec) :: J, I_bar, fac1, fac2, fac3, fac4, cE, cnu
+        
+        !Decleration of constants
+        REAL(prec), PARAMETER :: ZERO=0.D0, ONE=1.D0, TWO=2.D0
+        REAL(prec), PARAMETER :: THREE=3.D0, FOUR= 4.D0, SIX=6.D0
+        REAL(prec), PARAMETER :: NINE=9.D0
+
+
+        !Declare matrix to voit mapping
+        data m2v/ 1, 4, 5,
+     1            4, 2, 6,
+     2            5, 6, 3/
+
+        !2nd Order Identity
+        data I/ ONE, ONE, ONE, ZERO, ZERO, ZERO/
+                   
+        !Get material properties
+        cE=PROPS(1)
+        cnu=PROPS(2)
+
+        !Calculate determinant of deformation gradient
+        CALL determinant(DFGRD1(:,:), J)
+
+        !Calculate inverse of deformation gradient
+        CALL matInverse(DFGRD1(:,:), F_inv(:, :))
+
+        !Calculate finger tensor B
+        B(:) = ZERO
+        DO K1 = 1, 3
+          DO ii = 1, 3
+            DO jj = 1, 3
+              IF (ii .EQ. jj) THEN
+                B(m2v(ii, jj)) = B(m2v(ii, jj)) +  DFGRD1(ii, K1) 
+     1                         * DFGRD1(jj, K1)
+              ELSE
+                B(m2v(ii, jj)) = B(m2v(ii, jj)) + 0.5d0 
+     1                         * DFGRD1(ii, K1) * DFGRD1(jj, K1)
+              END IF
+            END DO
+         END DO
+        END DO
+
+        B_bar(:) = B(:) *  J ** (-TWO / THREE)
+        I_bar = B_bar(1) + B_bar(2) + B_bar(3)
+        dev_B_bar(:) = B_bar(:) - (ONE / THREE) * I_bar * I(:)
+
+        !Return Cauchy stress to Abaqus
+        STRESS(:) = 2 * cE * (J - ONE) * J * I(:)
+     1          + 2 * cnu * dev_B_bar(:)
+
+        !Algorithmic constants for the Tangent
+        fac1 = -(FOUR / THREE) * cnu * J ** (-ONE)
+        fac2 = -(TWO * cE * (J - ONE) * J 
+     1       - (TWO/THREE) * cnu * I_bar) * J ** (-ONE)
+        fac3 =  (TWO * cE * (J - ONE) * J 
+     1       + (FOUR / NINE) * cnu * I_bar + TWO * cE * J ** TWO) 
+     2       * J ** (-ONE)
+        fac4 = TWO * cnu * J ** (-ONE)
+
+        !Tangent for ABAQUS
+        DDSDDE(:,:) = ZERO
+        DO ii = 1, 3
+          DO jj = 1, 3
+            DO ll = 1, 3
+              DO mm = 1, 3
+                DDSDDE(m2v(ii, jj), m2v(ll, mm)) = 
+     1            DDSDDE(m2v(ii, jj), m2v(ll, mm))
+     2            + fac1 * (B_bar(m2v(ii, jj)) * I(m2v(ll, mm)) 
+     3            + I(m2v(ii, jj)) * B_bar(m2v(ll, mm)))
+     4            + (fac4 - TWO * cnu * J**(-ONE)) 
+     5            * B_bar(m2v(ii, ll)) * I(m2v(jj, mm))
+     6            + TWO * cnu * (dev_B_bar(m2v(ii, ll)) 
+     7            * I(m2v(jj, mm)) 
+     8            + I(m2v(ii, ll)) * dev_B_bar(m2v(jj, mm)))
+     9            + fac2 * I(m2v(ii, mm)) * I(m2v(ll, jj))
+     1            + fac3 * I(m2v(ii, jj)) * I(m2v(ll, mm))
+     2            + (fac2 + FOUR * cE * (J - ONE)) 
+     3            * I(m2v(ii, ll)) * I(m2v(jj, mm))
+              END DO
+            END DO
+          END DO
+        END DO
+
+
+      RETURN
+      END SUBROUTINE NEOHOOK
+
       !--------------------------------------------------------------
       !     Helper function to convert a voit array to matrix 
       !--------------------------------------------------------------
@@ -643,7 +766,7 @@ C         END IF
       !--------------------------------------------------------------
       !      Helper function to compute inverse of 3x3 matrix
       !--------------------------------------------------------------
-      SUBROUTINE matInv(matrix, inv)
+      SUBROUTINE matInverse(matrix, inv)
         IMPLICIT NONE
         
         INTEGER, PARAMETER :: double=kind(1.d0)
@@ -668,7 +791,7 @@ C         END IF
         inv(:, :) = inv(:, :)/ J
 
         RETURN
-      END SUBROUTINE matInv
+      END SUBROUTINE matInverse
 
       
       !------------------------------------------------------------
@@ -843,7 +966,7 @@ C         END IF
 
 
         ! Compute inverse of int variable F_vp
-        CALL matInv(F_vp(:, :), F_vp_inv(:, :))
+        CALL matInverse(F_vp(:, :), F_vp_inv(:, :))
 
         ! Compute F_ve
         CALL mat2dot(F(:, :), F_vp_inv(:, :), F_ve(:, :))
@@ -929,7 +1052,7 @@ C         END IF
       !      Power series approximation
       !--------------------------------------------------------------
 
-      SUBROUTINE approx_log(AA, order, logAA, dlogAA, ddlogAA)
+      SUBROUTINE approx_log(AA, order, logAA, dlogAA)!, ddlogAA)
         IMPLICIT NONE
         INTEGER, PARAMETER :: double=kind(1.d0)
         INTEGER, PARAMETER :: prec=double
@@ -937,13 +1060,14 @@ C         END IF
         INTEGER, INTENT(IN)      :: order
         REAL(prec), INTENT(IN)   :: AA(3, 3)
         REAL(prec), INTENT(OUT)  :: logAA(3, 3), dlogAA(3, 3, 3, 3)
-        REAL(prec), INTENT(OUT)  :: ddlogAA(3, 3, 3, 3, 3, 3)
+        !REAL(prec), INTENT(OUT)  :: ddlogAA(3, 3, 3, 3, 3, 3)
 
         ! List of internal variables
-        INTEGER    :: ii, jj, nn, mm, ll, rr, ss, pp, qq
+        INTEGER    :: ii, jj, nn, mm, ll, rr, ss
         REAL(prec) :: coeffs(order + 1), I_mat(3, 3)
         REAL(prec) :: FF(3, 3), dFF(3, 3, 3, 3)
-        REAL(prec) :: ddFF(3, 3, 3, 3, 3, 3), II_mat(3, 3, 3, 3)
+        !REAL(prec) :: ddFF(3, 3, 3, 3, 3, 3)
+        REAL(prec) :: II_mat(3, 3, 3, 3)
         REAL(prec) :: temp1(3, 3, 3, 3), temp2(3, 3, 3, 3)
 
         ! Define 2nd order identity tensor
@@ -990,12 +1114,12 @@ C         END IF
         END DO
 
         dlogAA(:, :, :, :) = 0.D0
-        ddlogAA(:, :, :, :, :, :) = 0.D0
+        !ddlogAA(:, :, :, :, :, :) = 0.D0
 
         DO ii = 1, order
         FF(:, :) = 0.D0
         dFF(:, :, :, :) = 0.D0
-        ddFF(:, :, :, :, :, :) = 0.D0
+        !ddFF(:, :, :, :, :, :) = 0.D0
 
         nn = order + 1 - ii
 
@@ -1012,14 +1136,14 @@ C         END IF
      1             + dlogAA(jj, ll, rr, ss) * AA(ll, mm) 
      2             + logAA(jj, ll) * II_mat(ll, mm, rr, ss)
                   
-                  DO pp = 1, 3
-                    DO qq = 1, 3
-            ddFF(jj, mm, rr, ss, pp, qq) = ddFF(jj, mm, rr, ss, pp, qq)
-     1               + ddlogAA(jj, ll, rr, ss, pp, qq) * AA(ll, mm)
-     2               + dlogAA(jj, ll, rr, ss) * II_mat(ll, mm, pp, qq)
-     3               + dlogAA(jj, ll, pp, qq) * II_mat(ll, mm, rr, ss)
-                  END DO
-                END DO
+    !               DO pp = 1, 3
+    !                 DO qq = 1, 3
+    !     ddFF(jj, mm, rr, ss, pp, qq) = ddFF(jj, mm, rr, ss, pp, qq)
+    !  1             + ddlogAA(jj, ll, rr, ss, pp, qq) * AA(ll, mm)
+    !  2             + dlogAA(jj, ll, rr, ss) * II_mat(ll, mm, pp, qq)
+    !  3             + dlogAA(jj, ll, pp, qq) * II_mat(ll, mm, rr, ss)
+    !               END DO
+    !             END DO
               
               END DO
             END DO
@@ -1030,7 +1154,7 @@ C         END IF
         END DO
         logAA(:, :) = FF(:, :)
         dlogAA(:,:,:,:) = dFF(:,:,:,:)
-        ddlogAA(:,:,:,:,:,:) = ddFF(:, :, :, :, :, :)
+        !ddlogAA(:,:,:,:,:,:) = ddFF(:, :, :, :, :, :)
       END DO
 
       END SUBROUTINE approx_log
@@ -1399,8 +1523,8 @@ C         END IF
             gma_i = gma + Dgma
 
             ! Update hardening variables on gma_i
-            CALL hardn(PROPS, NPROPS, gma_0, gma_i, sigma_c, sigma_t,
-     1        HHc, HHt, HHb)
+            CALL hardn(PROPS, NPROPS, gma_0, gma_i, sigma_c,
+     1        sigma_t, HHc, HHt, HHb)
             ! Update Drucker Pragger coefficients along with ecc factor m
             CALL DPcoeff(alpha, sigma_c, sigma_t, m, a0, a1, a2)
 
@@ -1421,7 +1545,7 @@ C         END IF
           
 
           gma = gma_i
-          ! Debuging statements for N.R. Comment out for big sims
+          ! !Debuging statements for N.R. Comment out for big sims
           ! WRITE(*,*) "Iter : ", iter_G
           ! WRITE(*,*) "GAMMA : ", GAMMA
           ! WRITE(*,*) "RESI : ", ABS(F)
diff --git a/NonLinearSolver/nlmechsolpy.i b/NonLinearSolver/nlmechsolpy.i
index 2c2667443b084c1ce3bd948f92cc22df09be7759..5e8e664e0fc2fa4fd77ff757a3d4a17299b7a724 100644
--- a/NonLinearSolver/nlmechsolpy.i
+++ b/NonLinearSolver/nlmechsolpy.i
@@ -161,6 +161,7 @@
 %nodefaultctor computeJElementFilter;
 %nodefaultctor GPFilter;
 %nodefaultctor discreteElement;
+%nodefaultctor StiffnessModificationMonitoring;
 
 %include "NonLinearSolverConfig.h"
 %include "simpleFunction.h"
diff --git a/NonLinearSolver/nlsolver/nlsolAlgorithms.h b/NonLinearSolver/nlsolver/nlsolAlgorithms.h
index bf49a323c09f0c8bd420411e32d4cc944d7498be..37d36b5f0c53829f7121a6a78f0d0066ca040fb4 100644
--- a/NonLinearSolver/nlsolver/nlsolAlgorithms.h
+++ b/NonLinearSolver/nlsolver/nlsolAlgorithms.h
@@ -63,6 +63,48 @@ void AssembleItMap(BilinearTermBase &term, FunctionSpaceBase &space,
   }
 }
 
+template <class Iterator, class Assembler>
+void AssembleItMapWithCompFilter(FilterDof& filter, BilinearTermBase &term, FunctionSpaceBase &space,
+              Iterator itbegin, Iterator itend, QuadratureBase &integrator,
+              Assembler &assembler, elementFilter &efilter)
+// symmetric
+{
+  fullMatrix<double> localMatrix, localMatrixComp;
+  std::vector<Dof> R, Rcomp;
+  std::vector<int> indexes;
+  for(Iterator it = itbegin; it != itend; ++it) {
+    MElement *e = it->second;
+    if(efilter(e)) {
+      R.clear();
+      IntPt *GP;
+      int npts = integrator.getIntPoints(e, &GP);
+      term.get(e, npts, GP, localMatrix); // localMatrix.print();
+      space.getKeys(e, R);
+      
+      indexes.clear();
+      Rcomp.clear();
+      for (int j=0; j< R.size(); j++)
+      {
+        if (filter(R[j]))
+        {
+          Rcomp.push_back(R[j]);
+          indexes.push_back(j);
+        }
+      }
+      int RcompSize = Rcomp.size();
+      localMatrixComp.resize(RcompSize, RcompSize);
+      for (int i=0; i< RcompSize; i++)
+      {
+        for (int j=0; j< RcompSize; j++)
+        {
+          localMatrixComp(i,j) = localMatrix(indexes[i], indexes[j]);
+        }
+      }
+      assembler.assemble(Rcomp, localMatrixComp);
+    }
+  }
+}
+
 
 template<class Iterator, class Assembler> 
 void AssemblerPathFollowingConstraint(ScalarTermBase<double>&term, Iterator itbegin, Iterator itend,
diff --git a/NonLinearSolver/nlsolver/nonLinearMechSolver.cpp b/NonLinearSolver/nlsolver/nonLinearMechSolver.cpp
index 08b3fb3184966c60a6ba96a2a68083ec56af32ef..bdc25e1afd5e1abfd064afe78de766d3ba265771 100644
--- a/NonLinearSolver/nlsolver/nonLinearMechSolver.cpp
+++ b/NonLinearSolver/nlsolver/nonLinearMechSolver.cpp
@@ -89,6 +89,43 @@
 #include "nlmpiAlgorithms.h"
 #endif // HAVE_MPI
 
+
+
+FilterDofMultiple::FilterDofMultiple(int type, std::vector<FilterDof*>& allFilters):
+      FilterDof(), _type((FilterDofMultiple::OptType)type), _allFilters(allFilters){}
+FilterDofMultiple::~FilterDofMultiple() {}
+bool FilterDofMultiple::operator()(Dof key)
+{
+  if (_type == FilterDofMultiple::OR)
+  {
+    for (int i=0; i< _allFilters.size(); i++)
+    {
+      if (_allFilters[i]->operator()(key))
+      {
+        return true;
+      }
+    }
+    return false;
+  }
+  else if (_type == FilterDofMultiple::AND)
+  {
+    for (int i=0; i< _allFilters.size(); i++)
+    {
+      if (not(_allFilters[i]->operator()(key)))
+      {
+        return false;
+      }
+    }
+    return true;
+  } 
+  else
+  {
+    Msg::Error("Type %d is not defined",_type);
+    return true;
+  }
+};
+
+
 int clustersData::realClusterSize() const
 {
   int realSize =0;
@@ -859,92 +896,8 @@ void NLS_MPI::Finalize()
   #endif
 };
 
-StiffnessModificationMonitoring::StiffnessModificationMonitoring(int ws)
-{
-  if (ws == 0) 
-  {
-    _ws = IPStateBase::previous;
-    Msg::Info("tangent of the previous converged solution is used");
-  }
-  else if (ws=1)
-  {
-    _ws = IPStateBase::current;
-     Msg::Info("first iteration tangent of the current solution is used");
-  }
-  else
-  {
-    Msg::Error("ws = %s wrong, this value must be 0 or 1",ws);
-  }
-}
 
-TimeBasedStiffnessModificationMonitoring::TimeBasedStiffnessModificationMonitoring(int ws) : StiffnessModificationMonitoring(ws)
-{
-  _modificationAtTime.push_back(0.);
-};
-TimeBasedStiffnessModificationMonitoring::TimeBasedStiffnessModificationMonitoring(const TimeBasedStiffnessModificationMonitoring& src):
-        StiffnessModificationMonitoring(src),_modificationAtTime(src._modificationAtTime){};
-TimeBasedStiffnessModificationMonitoring::~TimeBasedStiffnessModificationMonitoring(){}
 
-void TimeBasedStiffnessModificationMonitoring::modifyStiffnessAtTime(double t)
-{
-  _modificationAtTime.push_back(t);
-}
-bool TimeBasedStiffnessModificationMonitoring::willModify(int iter, double time) const
-{
-  // check validity
-  double tol = 1e-6;
-  for (int i=0; i< _modificationAtTime.size(); i++)
-  {
-    if (fabs(time-_modificationAtTime[i]) < tol*fabs(_modificationAtTime[i]))
-    {
-      Msg::Info("stiffness will be modified");
-      return true;
-    }
-  }
-  return false;
-};
-
-NumIterationBasedStiffnessModificationMonitoring::NumIterationBasedStiffnessModificationMonitoring(int ws) : 
-    StiffnessModificationMonitoring(ws), 
-    _numIterBetweenTwoModfication(0)
-{
-  _modificationAtIteration.push_back(0);
-};
-NumIterationBasedStiffnessModificationMonitoring::NumIterationBasedStiffnessModificationMonitoring(const NumIterationBasedStiffnessModificationMonitoring& src):
-        StiffnessModificationMonitoring(src),_modificationAtIteration(src._modificationAtIteration), _numIterBetweenTwoModfication(src._numIterBetweenTwoModfication){};
-NumIterationBasedStiffnessModificationMonitoring::~NumIterationBasedStiffnessModificationMonitoring(){}
-
-void NumIterationBasedStiffnessModificationMonitoring::modifyStiffnessAfterNumIterations(int numIterBetween)
-{
-  _numIterBetweenTwoModfication = numIterBetween;
-  Msg::Info("stiffness will be modified each %d iterations ",_numIterBetweenTwoModfication);
-}
-void NumIterationBasedStiffnessModificationMonitoring::modifyStiffnessAtIteration(int iter)
-{
-  _modificationAtIteration.push_back(iter);
-}
-bool NumIterationBasedStiffnessModificationMonitoring::willModify(int iter, double time) const
-{
-  // check validity
-  double tol = 1e-6;
-  for (int i=0; i< _modificationAtIteration.size(); i++)
-  {
-    if (fabs(time-(double)_modificationAtIteration[i]) < tol*fabs((double)_modificationAtIteration[i]))
-    {
-      Msg::Info("stiffness will be modified");
-      return true;
-    }
-  }
-  if (_numIterBetweenTwoModfication > 0)
-  {
-    if (iter%_numIterBetweenTwoModfication == 0)
-    {
-      Msg::Info("stiffness will be modified");
-      return true;
-    }
-  }
-  return false;
-};
 
   
 nonLinearMechSolver::nonLinearMechSolver(int tag) :
@@ -971,9 +924,7 @@ whatScheme(StaticLinear),
 _explicitOpts(),
 _tol(1.e-6),
 _absTol(1.e-12),
-_stiffEstimation(true),
-_stiffnessModification(true),
-_stiffnessModificationMonitoring(NULL),
+_stiffnessModificationMonitoring(new NewtonStiffnessModificationMonitoring()),
 _iterativeNR(true),
 _lineSearch(false),
 
@@ -1204,9 +1155,7 @@ whatScheme(StaticLinear),
 
 _tol(1.e-6),
 _absTol(1.e-12),
-_stiffEstimation(true),
-_stiffnessModification(true),
-_stiffnessModificationMonitoring(NULL),
+_stiffnessModificationMonitoring(new NewtonStiffnessModificationMonitoring()),
 _iterativeNR(true),
 _lineSearch(false),
 
@@ -1540,12 +1489,7 @@ void nonLinearMechSolver::copyOptionsToOtherSolver(nonLinearMechSolver* sv) cons
   /*FOR QUASI-STATIC AND IMPLICIT SCHEMES*/
   sv->_tol = _tol;
   sv->_absTol = _absTol; // relative and absolute tolerance for iteration
-  //sv->_stiffEstimation = _stiffEstimation;
-  sv->_stiffnessModification = _stiffnessModification; // true if recalculate stiffness matrix
-  if (_stiffnessModificationMonitoring!=NULL)
-  {
-    sv->_stiffnessModificationMonitoring =_stiffnessModificationMonitoring->clone();
-  }
+  sv->_stiffnessModificationMonitoring =_stiffnessModificationMonitoring->clone();
   sv->_iterativeNR = _iterativeNR; // true if using iterative procedure
   sv->_lineSearch = _lineSearch;
 
@@ -2936,6 +2880,7 @@ void nonLinearMechSolver::init(){
   {
     moveFiles("previousScheme","mv");
     if(!_disableResetRestart) _resetRestart=true; //to avoid restart when shitfing schemes
+    restartManager::resetLastSavedStep();
   }
 
 
@@ -3404,6 +3349,14 @@ void nonLinearMechSolver::oneStepPostSolve(const double curtime, const int numst
   {
     // copy current to initial state
     (*_initialState) = (*_currentState);
+    
+    if ((_stiffnessModificationMonitoring->quasiNewtonUpdate() and _tangentflag) and 
+        (_systemType == DISP_ELIM or _systemType == DISP_MULT))
+    {
+      Msg::Info("stiffness matrix is reevaluated");
+      this->computeStiffMatrix();
+    }
+    
 
     this->extractAverageProperties(_tangentflag);
     if (getDamageToCohesiveJumpFlag() and !_multiscaleFlag){
@@ -3452,19 +3405,6 @@ void nonLinearMechSolver::oneStepPostSolve(const double curtime, const int numst
       this->homogenizedDataToFile(curtime);
     }
   }
-  
-  //
-  if (!_stiffnessModification)
-  {
-    if (_stiffnessModificationMonitoring->willModify(numstep,curtime))
-    {
-      _stiffEstimation = true;
-    }
-  }
-  else
-  {
-    _stiffEstimation = true; // alway estimating stiffness matrix at the begining of the NR step
-  }
 
   // next step
   this->nextStep(curtime,numstep);
@@ -5423,18 +5363,21 @@ void nonLinearMechSolver::thetaBC(const int numphys){
   elementGroup *goe = new elementGroup(1,numphys);
   this->insertTheta(numphys,goe);
 }
-void nonLinearMechSolver::stiffnessModification(const bool flag){
-  _stiffnessModification = flag;
-  if (!_stiffnessModification)
+void nonLinearMechSolver::stiffnessModification(const bool flag)
+{
+  if (_stiffnessModificationMonitoring) delete _stiffnessModificationMonitoring;
+  if (flag)
   {
-    _stiffnessModificationMonitoring = new StiffnessModificationMonitoring(0);
+    _stiffnessModificationMonitoring = new NewtonStiffnessModificationMonitoring();
+  }
+  else
+  {
+    _stiffnessModificationMonitoring = new ModifiedNewtonStiffnessModificationMonitoring();
   }
 };
 
-
 void nonLinearMechSolver::stiffnessModification(const StiffnessModificationMonitoring& stiffModifMonitor)
 {
-  _stiffnessModification = false;
   if (_stiffnessModificationMonitoring) delete _stiffnessModificationMonitoring;
   _stiffnessModificationMonitoring = stiffModifMonitor.clone();
 };
@@ -8732,7 +8675,8 @@ void nonLinearMechSolver::archivingNodeIPOnPhysicalGroup(const int dim, const in
     if (Msg::GetCommRank() ==0)
     #endif // HAVE_MPI
     {
-      std::string filename = getFileSavingPrefix()+"archivingNodeIPOnPhysicalGroup_vertexList.csv";
+      std::string filename = getFileSavingPrefix()+"archivingNodeIPOnPhysicalGrouDDim"+
+                            std::to_string(dim)+"Phys"+std::to_string(numphys)+"_vertexList.csv";
       ff = fopen(filename.c_str(),"w");
       fprintf(ff,"Num;X;Y;Z\n");
     }
@@ -9429,11 +9373,11 @@ int nonLinearMechSolver::oneStaticStep(const double curtime,const double dt, con
   int niteNR = 0;
   if (_pathFollowing){
     this->oneStepPreSolvePathFollowing(curtime,dt,numstep);
-    niteNR = NewtonRaphsonPathFollowing(numstep);
+    niteNR = NewtonRaphsonPathFollowing(numstep, curtime);
   }
   else{
     this->oneStepPreSolve(curtime,dt,numstep);
-    niteNR = NewtonRaphson(numstep);
+    niteNR = NewtonRaphson(numstep, curtime);
   }
 	tsystresol = Cpu() - tsystresol;
   Msg::Info("Time of Newton-Raphson resolution %f",tsystresol);
@@ -9862,7 +9806,7 @@ double nonLinearMechSolver::computeRightHandSide()
   #endif //HAVE_MPI
   if (ok>0)
   {
-    Msg::Error("reaction force is nan or inf: rank = %d, val = %e", Msg::GetCommRank(),ffixNorm);
+    Msg::Warning("reaction force is nan or inf: rank = %d, val = %e", Msg::GetCommRank(),ffixNorm);
     return sqrt(-1.);
   }
   
@@ -9934,105 +9878,267 @@ void  nonLinearMechSolver::computeMassMatrix(){
 
 void nonLinearMechSolver::computeStiffMatrix()
 {
-  if (_stiffEstimation)
+
+  //Msg::Info("call nonLinearMechSolver::computeStiffMatrix");
+  pAssembler->zeroMatrix();
+  
+  for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
+  {
+    partDomain* dom = *itdom;
+    // Assembling loop on Elementary terms
+    AssembleItMap(*(dom->getBilinearBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
+             *(dom->getBulkGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+
+    if(dom->IsInterfaceTerms())
+    {
+      dgPartDomain *dgdom = static_cast<dgPartDomain*>(dom);
+      // Assembling loop on elementary interface terms
+      AssembleItMap(*(dgdom->getBilinearInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gi->begin(),dgdom->gi->end(),
+                   *(dgdom->getInterfaceGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+      
+      // Assembling loop on elementary boundary interface terms
+      AssembleItMap(*(dgdom->getBilinearVirtualInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gib->begin(),dgdom->gib->end(),
+               *(dgdom->getInterfaceGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+    }
+  }
+  
+  // NeumannBC (non linear flux)
+  if(this->getScheme() != StaticLinear)
+  {
+    for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
+      nonLinearNeumannBC &neu = *itbc; 
+      for(int j=0;j<neu._vspace.size();j++)
+      {
+        FunctionSpaceBase *spn = neu._vspace[j];
+        const elementGroup *gneu = neu._vgroup[j];
+        QuadratureBase *qneu = neu._vquadrature[j];
+        AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
+      }
+    }
+  }
+  else{
+    for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
+      nonLinearNeumannBC &neu = *itbc;
+      for(int j=0;j<neu._vspace.size();j++)
+      {
+        FunctionSpaceBase *spn = neu._vspace[j];
+        const elementGroup *gneu = neu._vgroup[j];
+        QuadratureBase *qneu = neu._vquadrature[j];
+        AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
+      }
+    }
+  }
+
+  // Contact
+  // little particular because it the term itself which know (via its linked linear term) the element
+  // where there is contact and so a bilinearterm != 0 as to be computed
+  for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
+    contactDomain *cdom = *it;
+    contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
+    AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
+                    sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
+//    sterm->clearContactNodes();
+  }
+  for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
+    defoDefoContactDomain *cdom = *it;
+    const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
+    for(int i=0; i<sterm.size(); i++)
+    {
+      AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
+          ((cdom->getRefToGroup())[i]).end(),
+          *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
+    }
+  }
+
+  // for periodic BC
+  if (_microFlag)
+    if (_systemType == nonLinearMechSolver::DISP_MULT)
+      _pAl->assembleConstraintMatrix();
+      
+	if (_pathFollowing and _pfManager._pathFollowingMethod == pathFollowingManager::LOCAL_BASED){
+		this->computeDPathFollowingConstraintDUnknowns();
+	}
+  
+  for (int i=0; i< _discreteElements.size(); i++)
+  {
+    discreteElement* disEle = _discreteElements[i];
+    std::vector<Dof> RC;
+    fullMatrix<double> m;
+    disEle->getStiffness(RC, m);
+    m.scale(-1);
+    pAssembler->assemble(RC,m);
+  };
+}
+
+void nonLinearMechSolver::computeUncoupledStiffMatrix()
+{
+
+  //Msg::Info("call nonLinearMechSolver::computeStiffMatrix");
+  pAssembler->zeroMatrix();
+  
+  for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
   {
-    if (!_stiffnessModification)
+    partDomain* dom = *itdom;
+    std::vector<int> allCompsExtra;
+    if (dom->elementGroupSize() > 0)
     {
-      _stiffEstimation = false;
-      if (_stiffnessModificationMonitoring->tangentType() == IPStateBase::previous)
+      nlsFunctionSpace<double>* spacce = dynamic_cast<nlsFunctionSpace<double>*>(dom->getFunctionSpace());
+      if (spacce != NULL)
+      {
+        std::vector<int> cc;
+        spacce->getComp(cc);
+        for (int j=0; j< cc.size(); j++)
+        {
+          if (cc[j]>2)
+          {
+            allCompsExtra.push_back(cc[j]);
+          }
+        }
+      }
+      else
+      {
+        Msg::Error("nlsFunctionSpace<double> need to be used in partDomain");
+      }
+    }
+    else
+    {
+      std::set<int> extraSet;
+      dgPartDomain *dgdom = static_cast<dgPartDomain*>(dom);
+      nlsFunctionSpace<double>* spacce = dynamic_cast<nlsFunctionSpace<double>*>(dgdom->getMinusDomain()->getFunctionSpace());
+      if (spacce != NULL)
+      {
+        std::vector<int> cc;
+        spacce->getComp(cc);
+        for (int j=0; j< cc.size(); j++)
+        {
+          if (cc[j]>2)
+          {
+            extraSet.insert(cc[j]);
+          }
+        }
+      }
+      else
       {
-        _ipf->copy(IPStateBase::current,IPStateBase::temp);
-        _ipf->copy(IPStateBase::previous,IPStateBase::current);
+        Msg::Error("nlsFunctionSpace<double> need to be used in partDomain");
+      }
+      
+      spacce = dynamic_cast<nlsFunctionSpace<double>*>(dgdom->getPlusDomain()->getFunctionSpace());
+      if (spacce != NULL)
+      {
+        std::vector<int> cc;
+        spacce->getComp(cc);
+        for (int j=0; j< cc.size(); j++)
+        {
+          if (cc[j]>2)
+          {
+            extraSet.insert(cc[j]);
+          }
+        }
+      }
+      else
+      {
+        Msg::Error("nlsFunctionSpace<double> need to be used in partDomain");
+      }
+      for (std::set<int>::iterator its = extraSet.begin(); its != extraSet.end(); its++)
+      {
+        allCompsExtra.push_back(*its);
       }
     }
-    //Msg::Info("call nonLinearMechSolver::computeStiffMatrix");
-    pAssembler->zeroMatrix();
     
-    for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
+    std::vector<FilterDof*> allFilters(1+allCompsExtra.size(), NULL);
+    std::vector<FilterDof*> dispFilter(3, NULL);
+    dispFilter[0] = dom->createFilterDof(0);
+    dispFilter[1] = dom->createFilterDof(1);
+    dispFilter[2] = dom->createFilterDof(2);
+  
+    allFilters[0] = new FilterDofMultiple(0, dispFilter);
+    for (int j=0; j< allCompsExtra.size(); j++)
     {
-      partDomain* dom = *itdom;
+      allFilters[j+1] =  dom->createFilterDof(allCompsExtra[j]);
+    }
+    
+    for (int j=0; j< allFilters.size(); j++)
+    {
+      
       // Assembling loop on Elementary terms
-      AssembleItMap(*(dom->getBilinearBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
+      AssembleItMapWithCompFilter(*allFilters[j], *(dom->getBilinearBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
                *(dom->getBulkGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
 
       if(dom->IsInterfaceTerms())
       {
         dgPartDomain *dgdom = static_cast<dgPartDomain*>(dom);
         // Assembling loop on elementary interface terms
-        AssembleItMap(*(dgdom->getBilinearInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gi->begin(),dgdom->gi->end(),
+        AssembleItMapWithCompFilter(*allFilters[j],*(dgdom->getBilinearInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gi->begin(),dgdom->gi->end(),
                      *(dgdom->getInterfaceGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
         
         // Assembling loop on elementary boundary interface terms
-        AssembleItMap(*(dgdom->getBilinearVirtualInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gib->begin(),dgdom->gib->end(),
+        AssembleItMapWithCompFilter(*allFilters[j], *(dgdom->getBilinearVirtualInterfaceTerm()),*(dom->getFunctionSpace()),dgdom->gib->begin(),dgdom->gib->end(),
                  *(dgdom->getInterfaceGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
       }
     }
     
-    // NeumannBC (non linear flux)
-    if(this->getScheme() != StaticLinear)
+    delete dispFilter[0];
+    delete dispFilter[1];
+    delete dispFilter[2];
+    for (int j=0; j< allCompsExtra.size(); j++)
     {
-      for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
-        nonLinearNeumannBC &neu = *itbc; 
-        for(int j=0;j<neu._vspace.size();j++)
-        {
-          FunctionSpaceBase *spn = neu._vspace[j];
-          const elementGroup *gneu = neu._vgroup[j];
-          QuadratureBase *qneu = neu._vquadrature[j];
-          AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
-        }
-      }
+      delete allFilters[j+1];
     }
-    else{
-      for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
-        nonLinearNeumannBC &neu = *itbc;
-        for(int j=0;j<neu._vspace.size();j++)
-        {
-          FunctionSpaceBase *spn = neu._vspace[j];
-          const elementGroup *gneu = neu._vgroup[j];
-          QuadratureBase *qneu = neu._vquadrature[j];
-          AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
-        }
+  }
+  
+  // NeumannBC (non linear flux)
+  if(this->getScheme() != StaticLinear)
+  {
+    for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
+      nonLinearNeumannBC &neu = *itbc; 
+      for(int j=0;j<neu._vspace.size();j++)
+      {
+        FunctionSpaceBase *spn = neu._vspace[j];
+        const elementGroup *gneu = neu._vgroup[j];
+        QuadratureBase *qneu = neu._vquadrature[j];
+        AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
       }
     }
-
-    // Contact
-    // little particular because it the term itself which know (via its linked linear term) the element
-    // where there is contact and so a bilinearterm != 0 as to be computed
-    for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
-      contactDomain *cdom = *it;
-      contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
-      AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
-                      sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
-  //    sterm->clearContactNodes();
-    }
-    for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
-      defoDefoContactDomain *cdom = *it;
-      const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
-      for(int i=0; i<sterm.size(); i++)
+  }
+  else{
+    for(std::list<nonLinearNeumannBC>::iterator itbc = allNeumann.begin(); itbc != allNeumann.end();++itbc){
+      nonLinearNeumannBC &neu = *itbc;
+      for(int j=0;j<neu._vspace.size();j++)
       {
-        AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
-            ((cdom->getRefToGroup())[i]).end(),
-            *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
+        FunctionSpaceBase *spn = neu._vspace[j];
+        const elementGroup *gneu = neu._vgroup[j];
+        QuadratureBase *qneu = neu._vquadrature[j];
+        AssembleSkipEmpty(*(neu._vmatrix_term[j]),*spn,gneu->begin(),gneu->end(),*(qneu),*pAssembler,_elementErosionFilter);
       }
     }
+  }
 
-    // for periodic BC
-    if (_microFlag)
-      if (_systemType == nonLinearMechSolver::DISP_MULT)
-        _pAl->assembleConstraintMatrix();
-        
-        
-    if (!_stiffnessModification)
+  // Contact
+  // little particular because it the term itself which know (via its linked linear term) the element
+  // where there is contact and so a bilinearterm != 0 as to be computed
+  for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
+    contactDomain *cdom = *it;
+    contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
+    AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
+                    sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
+//    sterm->clearContactNodes();
+  }
+  for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
+    defoDefoContactDomain *cdom = *it;
+    const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
+    for(int i=0; i<sterm.size(); i++)
     {
-      if (_stiffnessModificationMonitoring->tangentType() == IPStateBase::previous)
-      {
-        // copy back to current state
-        _ipf->copy(IPStateBase::temp,IPStateBase::current);
-      }
+      AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
+          ((cdom->getRefToGroup())[i]).end(),
+          *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
     }
   }
-  
 
+  // for periodic BC
+  if (_microFlag)
+    if (_systemType == nonLinearMechSolver::DISP_MULT)
+      _pAl->assembleConstraintMatrix();
+      
 	if (_pathFollowing and _pfManager._pathFollowingMethod == pathFollowingManager::LOCAL_BASED){
 		this->computeDPathFollowingConstraintDUnknowns();
 	}
@@ -10049,56 +10155,100 @@ void nonLinearMechSolver::computeStiffMatrix()
 }
 
 void nonLinearMechSolver::computeElasticStiffMatrix(){
-  if (_stiffEstimation)
+  pAssembler->zeroMatrix();
+  
+  for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
   {
-    if (!_stiffnessModification)
+    partDomain* dom = *itdom;
+    // Assembling loop on Elementary terms
+    AssembleItMap(*(dom->getBilinearElasticBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
+             *(dom->getBulkGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+    if(dom->IsInterfaceTerms())
     {
-      _stiffEstimation = false;
+      Msg::Warning("computeElasticStiffMatrix has not been implemented with DG domains");
     }
-    
-    pAssembler->zeroMatrix();
-    
-    for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
+  }
+
+  // Contact
+  // little particular because it the term itself which know (via its linked linear term) the element
+  // where there is contact and so a bilinearterm != 0 as to be computed
+  for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
+    contactDomain *cdom = *it;
+    contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
+    AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
+                    sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
+//    sterm->clearContactNodes();
+  }
+  for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
+    defoDefoContactDomain *cdom = *it;
+    const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
+    for(int i=0; i<sterm.size(); i++)
     {
-      partDomain* dom = *itdom;
-      // Assembling loop on Elementary terms
-      AssembleItMap(*(dom->getBilinearElasticBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
-               *(dom->getBulkGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+      AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
+          ((cdom->getRefToGroup())[i]).end(),
+          *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
     }
+  }
+  // for periodic BC
+  if (_microFlag)
+    if (_systemType == nonLinearMechSolver::DISP_MULT)
+      _pAl->assembleConstraintMatrix();
+  
 
-    // Contact
-    // little particular because it the term itself which know (via its linked linear term) the element
-    // where there is contact and so a bilinearterm != 0 as to be computed
-    for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
-      contactDomain *cdom = *it;
-      contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
-      AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
-                      sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
-  //    sterm->clearContactNodes();
-    }
-    for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
-      defoDefoContactDomain *cdom = *it;
-      const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
-      for(int i=0; i<sterm.size(); i++)
-      {
-        AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
-            ((cdom->getRefToGroup())[i]).end(),
-            *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
-      }
-    }
-    // for periodic BC
-    if (_microFlag)
-      if (_systemType == nonLinearMechSolver::DISP_MULT)
-        _pAl->assembleConstraintMatrix();
+  if (_pathFollowing and _pfManager._pathFollowingMethod == pathFollowingManager::LOCAL_BASED){
+    this->computeDPathFollowingConstraintDUnknowns();
+  }
+}
+
+void nonLinearMechSolver::computeUndamagedElasticStiffMatrix(){
+  pAssembler->zeroMatrix();
+  
+  for(std::vector<partDomain*>::iterator itdom=domainVector.begin(); itdom!=domainVector.end(); ++itdom)
+  {
+    partDomain* dom = *itdom;
+    // Assembling loop on Elementary terms
+    AssembleItMap(*(dom->getUndamagedBilinearElasticBulkTerm()),*(dom->getFunctionSpace()),dom->element_begin(),dom->element_end(),
+             *(dom->getBulkGaussIntegrationRule()),*pAssembler,_elementErosionFilter);
+    if(dom->IsInterfaceTerms())
+    {
+      Msg::Warning("computeUndamagedElasticStiffMatrix has not been implemented with DG domains");
     }
+  }
 
-    if (_pathFollowing and _pfManager._pathFollowingMethod == pathFollowingManager::LOCAL_BASED){
-      this->computeDPathFollowingConstraintDUnknowns();
+  // Contact
+  // little particular because it the term itself which know (via its linked linear term) the element
+  // where there is contact and so a bilinearterm != 0 as to be computed
+  for(contactContainer::iterator it = _allContact.begin(); it!=_allContact.end(); ++it){
+    contactDomain *cdom = *it;
+    contactBilinearTermBase<double> *sterm = static_cast<contactBilinearTermBase<double>*>(cdom->getStiffnessTerm());
+    AssembleItMap(*sterm,*(cdom->getSpace()),sterm->getContactNodes()->elemBegin(),
+                    sterm->getContactNodes()->elemEnd(),*(cdom->getGaussIntegration()),*pAssembler,_elementErosionFilter);
+//    sterm->clearContactNodes();
+  }
+  for(defoDefoContactContainer::iterator it = _allDefoDefoContact.begin(); it!=_allDefoDefoContact.end(); ++it){
+    defoDefoContactDomain *cdom = *it;
+    const std::vector<BilinearTermBase*> &sterm = static_cast< const std::vector<BilinearTermBase* > >(cdom->getConstRefToStiffnessTerm()); //we might need to change the class
+    for(int i=0; i<sterm.size(); i++)
+    {
+      AssembleSkipEmptyDefoDefoContact(*(sterm[i]),*(cdom->getRefToVSpace()[i]),((cdom->getRefToGroup())[i]).begin(),
+          ((cdom->getRefToGroup())[i]).end(),
+          *(cdom->getRefToVQuadratureMaster()[i]),*pAssembler,_elementErosionFilter);
     }
+  }
+  // for periodic BC
+  if (_microFlag)
+    if (_systemType == nonLinearMechSolver::DISP_MULT)
+      _pAl->assembleConstraintMatrix();
+  
+
+  if (_pathFollowing and _pfManager._pathFollowingMethod == pathFollowingManager::LOCAL_BASED){
+    this->computeDPathFollowingConstraintDUnknowns();
+  }
 }
 
+
 // Newton Raphson scheme to solve one step
-int nonLinearMechSolver::NewtonRaphson(const int numstep){
+int nonLinearMechSolver::NewtonRaphson(const int numstep, double time){
   if (whatScheme == Implicit){
     // dynamic predictor
     pAssembler->systemSolveIntReturn();
@@ -10136,11 +10286,24 @@ int nonLinearMechSolver::NewtonRaphson(const int numstep){
   }
   double relnorm = normFinf/norm0;
   Msg::Info("iteration n %d : residu : %e, absolute residu : %e",iter,relnorm,normFinf);
+  
+  bool estimateStiff = true;
   while ((relnorm>_tol and normFinf>_absTol) or iter == 0){ // ensure 1 iteration min
 
     iter++;
     // Compute Stiffness Matrix
-    this->computeStiffMatrix();
+    
+    if (estimateStiff)
+    {
+      if (_stiffnessModificationMonitoring->uncoupledStiffness())
+      {
+        this->computeUncoupledStiffMatrix();
+      }
+      else
+      {
+        this->computeStiffMatrix();
+      }
+    }
 
     // Solve KDu = Fext-Fint
     double t = Cpu();
@@ -10156,8 +10319,12 @@ int nonLinearMechSolver::NewtonRaphson(const int numstep){
       }
       return _timeManager->getMaxNbIterations();
     }
+    
+    // check if stiffness matrix is estimated for next iteration
+    estimateStiff = _stiffnessModificationMonitoring->willModify(numstep, iter, time);
+    
     // update ipvariable
-    ok = _ipf->compute1state(IPStateBase::current,true);
+    ok = _ipf->compute1state(IPStateBase::current,estimateStiff);
     #if defined(HAVE_MPI)
     if (this->getNumRanks() > 1)
     {
@@ -10319,6 +10486,10 @@ linearSystem<double>* nonLinearMechSolver::createSNLSystem()
 
   nonLinearSystem<double>* nlsys = dynamic_cast<nonLinearSystem<double>*>(lsys);
   if (nlsys != NULL){
+    if (_stiffnessModificationMonitoring->quasiNewtonUpdate())
+    {
+      nlsys->useQuasiNewtonMethod(true);
+    };
     // initialization data
     #if defined(HAVE_MPI)
     int rootRank = 0;
@@ -10571,7 +10742,7 @@ void nonLinearMechSolver::createSystem()
 	}
 }
 
-int nonLinearMechSolver::NewtonRaphsonPathFollowing(const int numstep)
+int nonLinearMechSolver::NewtonRaphsonPathFollowing(const int numstep, double time)
 {
    std::string name = "A";
   linearSystem<double>* lsys =pAssembler->getLinearSystem(name);
@@ -11004,7 +11175,7 @@ double nonLinearMechSolver::solveMulti()
       // not solve if step = 0, to make sure if explicit solver present, it starts first
       Msg::Info("Solve implicit system(s): step = %d, t = %e, dt = %e",step,curtime,dt);
       double tsystresol = Cpu();
-      niteNR = NewtonRaphson(step+1);
+      niteNR = NewtonRaphson(step+1, curtime);
       tsystresol = Cpu() - tsystresol;
       Msg::Info("Time of Newton-Raphson resolution: %f: ",tsystresol);
       
@@ -13952,7 +14123,7 @@ void nonLinearMechSolver::extractAveragePropertiesByInSystemCondensation(homogen
     if (_multiscaleFlag == false)
       Msg::Info("extract undamaged elastic tangent operator");
     //estimating elastic stiffness matrix
-    this->computeElasticStiffMatrix();
+    this->computeUndamagedElasticStiffMatrix();
 
     // estimation of stress matrix
     _pAl->zeroStressMatrix();
@@ -14126,7 +14297,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 				_microBC->setFirstOrderKinematicalVariable(Fplus);
 
 				/** solve perturbated system**/
-				this->OneStep(0);
+				this->OneStep(0,0.);
 
 				/** get homogenized stress in perturbed system **/
 				this->extractAverageStress(&homoDataPlus);
@@ -14197,12 +14368,12 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 		if (_microBC->getOrder() == 2){
 		    if(Extract_Qstress){
 		      nonlsys->copy(IPStateBase::previous,IPStateBase::current);
-		      this->OneStep(0);
+		      this->OneStep(0,0.);
 		      this->extractAveragePropertiesByInSystemCondensation(&homoDatadUdF);
 		      
 		      nonlsys->copy(IPStateBase::previous,IPStateBase::current);
 		      _ipf->setdFmdFM(homoDatadUdF.getdUnknowndF(), IPStateBase::current);
-		      this->OneStep(0);		      
+		      this->OneStep(0,0.);		      
 		      this->extractAverageStress(homoData);
 		      
 		      for (int i=0; i<_dim; i++){
@@ -14215,7 +14386,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 			    _microBC->setFirstOrderKinematicalVariable(Fplus);
 
 			     /** solve perturbated system**/
-			    this->OneStep(0);
+			    this->OneStep(0,0.);
 	                    /** get homogenized stress in perturbed system **/
 			    this->extractAverageStress(&homoDataPlus);
 	                   // extract stress
@@ -14245,7 +14416,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 						
 						
 						/** solve perturbed system**/
-						this->OneStep(0);
+						this->OneStep(0,0.);
 
 						/** get homogenized stress in perturbed system **/
                                               this->extractAverageStress(&homoDataPlus);
@@ -14332,7 +14503,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 				gradTplus(i) += gradTpert;
 				_microBC->setConstitutiveExtraDofDiffusionKinematicalVariable(index,gradTplus);
 				/** solve perturbed system**/
-				this->OneStep(0);
+				this->OneStep(0,0.);
 
 				/** get homogenized stress in perturbed system **/
 				this->extractAverageStress(&homoDataPlus);
@@ -14401,7 +14572,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 
 			_microBC->setConstitutiveExtraDofDiffusionConstantVariable(index,Tplus);
 			/** solve perturbed system**/
-			this->OneStep(0);
+			this->OneStep(0, 0.);
 
 			/** get homogenized stress in perturbed system **/
 			this->extractAverageStress(&homoDataPlus);
@@ -14472,7 +14643,7 @@ void nonLinearMechSolver::extractAveragePropertiesPerturbation(homogenizedData*
 				gradVplus(i) += gradVpert;
 				_microBC->setNonConstitutiveExtraDofDiffusionKinematicalVariable(index,gradVplus);
 				/** solve perturbed system**/
-				this->OneStep(0);
+				this->OneStep(0, 0.);
 
 				/** get homogenized stress in perturbed system **/
 				this->extractAverageStress(&homoDataPlus);
@@ -15641,6 +15812,11 @@ linearSystem<double>* nonLinearMechSolver::createMicroSNLSystem(){
           if (_outputFile)
             fprintf(_outputFile,"PETSc is not installed\n Gmm is chosen to solve \n");
           #endif
+          
+          if (_stiffnessModificationMonitoring->quasiNewtonUpdate())
+          {
+            dynamic_cast<nonLinearSystemBase*>(lsys)->useQuasiNewtonMethod(true);
+          };
         }
         else
           lsys= nonLinearMechSolver::createSNLSystem();
@@ -15930,7 +16106,7 @@ bool nonLinearMechSolver::microSolve(bool forced){
   return _sucessMicroSolve;
 };
 
-void nonLinearMechSolver::OneStep(const int numstep){
+void nonLinearMechSolver::OneStep(const int numstep, double time){
   int niteNR = 0;
 
   if (_pathFollowing){  
@@ -15938,14 +16114,14 @@ void nonLinearMechSolver::OneStep(const int numstep){
   }
   else{
     if (_systemType == MULT_ELIM)
-      niteNR = microNewtonRaphson(numstep);
+      niteNR = microNewtonRaphson(numstep, time);
     else {
       if (_systemType == DISP_ELIM)
         _pAl->applyPBCByConstraintElimination();
        else if (_systemType == DISP_ELIM_UNIFIED){
          _pAl->updateSystemUnknown();
        }
-      niteNR = NewtonRaphson(numstep);
+      niteNR = NewtonRaphson(numstep, time);
     }
     if(niteNR == _timeManager->getMaxNbIterations()) // time step reduction
     {
@@ -16042,7 +16218,7 @@ double nonLinearMechSolver::solveMicroSolverSNL(){
          this->computeBodyForceVector();
       }
 
-      niteNR = microNewtonRaphsonPathFollowing(ii+1);
+      niteNR = microNewtonRaphsonPathFollowing(ii+1, curtime);
 
         
       if (niteNR < _timeManager->getMaxNbIterations())
@@ -16082,7 +16258,7 @@ double nonLinearMechSolver::solveMicroSolverSNL(){
       this->oneStepPreSolve(curtime,dt,ii+1);
       _pAl->updateConstraint(_ipf);
       if (_systemType == MULT_ELIM)
-        niteNR = microNewtonRaphson(ii+1);
+        niteNR = microNewtonRaphson(ii+1, curtime);
       else {
         if (_systemType == DISP_ELIM){
           _pAl->applyPBCByConstraintElimination();
@@ -16090,7 +16266,7 @@ double nonLinearMechSolver::solveMicroSolverSNL(){
         else if (_systemType == DISP_ELIM_UNIFIED){
           _pAl->updateSystemUnknown();
         }
-        niteNR = NewtonRaphson(ii+1);
+        niteNR = NewtonRaphson(ii+1, curtime);
       }
     }
 
@@ -16410,7 +16586,7 @@ int nonLinearMechSolver::pathFollowingPerturbation(){
   return iter;
 };
 
-int nonLinearMechSolver::microNewtonRaphson(const int numstep){
+int nonLinearMechSolver::microNewtonRaphson(const int numstep, double time){
   std::string name = "A";
   linearSystem<double>* lsys = pAssembler->getLinearSystem(name);
   pbcSystem<double> * pbcSys = dynamic_cast<pbcSystem<double>*>(lsys);
@@ -16471,7 +16647,7 @@ int nonLinearMechSolver::microNewtonRaphson(const int numstep){
   return iter;
 }
 
-int nonLinearMechSolver::microNewtonRaphsonPathFollowing(const int numstep){
+int nonLinearMechSolver::microNewtonRaphsonPathFollowing(const int numstep, double time){
   std::string name = "A";
   linearSystem<double>* lsys =pAssembler->getLinearSystem(name);
   nonLinearSystem<double>* nonsys = dynamic_cast<nonLinearSystem<double>*>(lsys);
diff --git a/NonLinearSolver/nlsolver/nonLinearMechSolver.h b/NonLinearSolver/nlsolver/nonLinearMechSolver.h
index 412c5cc492f5d31fc90231240ca2441bfc7edc2c..3deffa5cf8400a52cdc4495cb04c3a8e5b08b57e 100644
--- a/NonLinearSolver/nlsolver/nonLinearMechSolver.h
+++ b/NonLinearSolver/nlsolver/nonLinearMechSolver.h
@@ -47,6 +47,7 @@ class pbcAlgorithm;
 class stiffnessCondensation;
 class pbcConstraintElementGroup;
 class discreteElement;
+class FilterDof;
 class archiveForce
 {
  public:
@@ -124,6 +125,20 @@ class archiveForce
   }
 };
 
+class FilterDofMultiple : public FilterDof
+{
+  public:
+    enum OptType{OR=0, AND=1};
+  protected:
+    std::vector<FilterDof*> _allFilters;
+    OptType _type;
+  public:
+    FilterDofMultiple(int type, std::vector<FilterDof*>& allFilters);
+    virtual ~FilterDofMultiple();
+    virtual bool operator()(Dof key);
+};
+
+
 class IPDataOnPhysical {
   public:
     std::vector<int> element; // ele and GP
@@ -671,49 +686,70 @@ class NLS_MPI
 
 class StiffnessModificationMonitoring
 {
-  protected:
-    #ifndef SWIG
-    IPStateBase::whichState _ws; //0- previous, 1 - current
-    #endif //SWIG
+ #ifndef SWIG
   public:
-    StiffnessModificationMonitoring(int ws);
+    StiffnessModificationMonitoring(){};
     StiffnessModificationMonitoring(const StiffnessModificationMonitoring& src){}
     virtual ~StiffnessModificationMonitoring(){}
-    virtual bool willModify(int iter, double time) const {return false; } // defaut class, never modifed when activation
-    virtual StiffnessModificationMonitoring* clone() const {return new StiffnessModificationMonitoring(*this);};
-    #ifndef SWIG
-    virtual IPStateBase::whichState tangentType() const {return _ws;};
-    #endif //SWIG
+    virtual bool willModify(int nstep, int iter, double time) const = 0;
+    virtual bool quasiNewtonUpdate() const= 0;
+    virtual bool uncoupledStiffness() const = 0;
+    virtual StiffnessModificationMonitoring* clone() const =0;
+  #endif //SWIG
 };
 
-class TimeBasedStiffnessModificationMonitoring : public StiffnessModificationMonitoring
+class NewtonStiffnessModificationMonitoring: public StiffnessModificationMonitoring
 {
-  protected:
-    std::vector<double> _modificationAtTime;
-    
+  // always modify stiffness matrix
   public:
-    TimeBasedStiffnessModificationMonitoring(int ws);
-    TimeBasedStiffnessModificationMonitoring(const TimeBasedStiffnessModificationMonitoring& src);
-    virtual ~TimeBasedStiffnessModificationMonitoring();
-    virtual void modifyStiffnessAtTime(double t);
-    virtual bool willModify(int iter, double time) const;
-    virtual StiffnessModificationMonitoring* clone() const {return new TimeBasedStiffnessModificationMonitoring(*this);};
+    NewtonStiffnessModificationMonitoring(): StiffnessModificationMonitoring(){};
+    NewtonStiffnessModificationMonitoring(const NewtonStiffnessModificationMonitoring& src){}
+    virtual ~NewtonStiffnessModificationMonitoring(){}
+    virtual bool willModify(int nstep, int iter, double time) const {return true;};
+    virtual bool quasiNewtonUpdate() const {return false;}
+    virtual bool uncoupledStiffness() const {return false;}
+    virtual StiffnessModificationMonitoring* clone() const {return new NewtonStiffnessModificationMonitoring(*this);};
 };
 
-class NumIterationBasedStiffnessModificationMonitoring : public StiffnessModificationMonitoring
+class ModifiedNewtonStiffnessModificationMonitoring: public StiffnessModificationMonitoring
+{
+  // only modify the stiffness at the beginning of simulation
+  public:
+    ModifiedNewtonStiffnessModificationMonitoring(): StiffnessModificationMonitoring(){};
+    ModifiedNewtonStiffnessModificationMonitoring(const ModifiedNewtonStiffnessModificationMonitoring& src){}
+    virtual ~ModifiedNewtonStiffnessModificationMonitoring(){}
+    virtual bool willModify(int nstep, int iter, double time) const 
+    {
+      if (iter==0) return true;
+      else return false;
+    };
+    virtual bool quasiNewtonUpdate() const {return false;}
+    virtual bool uncoupledStiffness() const {return false;}
+    virtual StiffnessModificationMonitoring* clone() const {return new ModifiedNewtonStiffnessModificationMonitoring(*this);};
+};
+
+class BFGSStiffnessModificationMonitoring : public StiffnessModificationMonitoring
 {
   protected:
-    std::vector<int> _modificationAtIteration;
-    int _numIterBetweenTwoModfication;
-    
+    int _numIterationsBetween; // stiffness matrix will be modifed after _numIterationsBetween iterations
+    bool _uncoupled;
   public:
-    NumIterationBasedStiffnessModificationMonitoring(int ws);
-    NumIterationBasedStiffnessModificationMonitoring(const NumIterationBasedStiffnessModificationMonitoring& src);
-    virtual ~NumIterationBasedStiffnessModificationMonitoring();
-    virtual void modifyStiffnessAfterNumIterations(int numIterBetween);
-    virtual void modifyStiffnessAtIteration(int iter);
-    virtual bool willModify(int iter, double time) const;
-    virtual StiffnessModificationMonitoring* clone() const {return new NumIterationBasedStiffnessModificationMonitoring(*this);};
+    BFGSStiffnessModificationMonitoring(int numIterBetween, bool uncoupled): StiffnessModificationMonitoring(), _numIterationsBetween(numIterBetween), _uncoupled(uncoupled){};
+    BFGSStiffnessModificationMonitoring(const BFGSStiffnessModificationMonitoring& src):
+                  StiffnessModificationMonitoring(src), _numIterationsBetween(src._numIterationsBetween), _uncoupled(src._uncoupled){};
+    virtual ~BFGSStiffnessModificationMonitoring(){};
+    virtual bool willModify(int nstep, int iter, double time) const
+    {
+      if (iter%_numIterationsBetween == 0)
+      {
+        Msg::Info("stiffness will be modified");
+        return true;
+      }
+      return false;
+    }
+    virtual bool quasiNewtonUpdate() const {return true;};
+    virtual bool uncoupledStiffness() const {return _uncoupled;}
+    virtual StiffnessModificationMonitoring* clone() const {return new BFGSStiffnessModificationMonitoring(*this);};
 };
 
 
@@ -800,7 +836,6 @@ class nonLinearMechSolver
   
   /*FOR QUASI-STATIC AND IMPLICIT SCHEMES*/
   double _tol, _absTol; // relative and absolute tolerance for iteration
-  bool _stiffEstimation, _stiffnessModification; // true if recalculate stiffness matrix
   StiffnessModificationMonitoring* _stiffnessModificationMonitoring;
   bool _iterativeNR; // true if using iterative procedure
   bool _lineSearch;
@@ -1074,12 +1109,12 @@ class nonLinearMechSolver
   void setPairSpaceElementForBoundaryConditions(); // new implementation
 
   // Function used by non linear solver (return the number of iteration to converge)
-  int NewtonRaphson(const int numstep);
+  int NewtonRaphson(const int numstep, double time);
 
   /*
   NewtonRaphson function for arc-length path following
   */
-  int NewtonRaphsonPathFollowing(const int numstep);
+  int NewtonRaphsonPathFollowing(const int numstep, double time);
 
   double computeRightHandSide();
   void computeLoadVector();
@@ -1088,7 +1123,9 @@ class nonLinearMechSolver
   void computeDPathFollowingConstraintDUnknowns();
 
   void computeStiffMatrix();
+  void computeUncoupledStiffMatrix();
   void computeElasticStiffMatrix();
+  void computeUndamagedElasticStiffMatrix();
   void computeMassMatrix();
   void computeExternalForces();
   void computeContactForces();
@@ -1566,8 +1603,8 @@ class nonLinearMechSolver
   void computeDensity();
   
   // newton raphson
-  int microNewtonRaphson(const int numstep);
-  int microNewtonRaphsonPathFollowing(const int numstep);
+  int microNewtonRaphson(const int numstep, double time);
+  int microNewtonRaphsonPathFollowing(const int numstep, double time);
 
   int pathFollowingPerturbation();
 
@@ -1578,7 +1615,7 @@ class nonLinearMechSolver
   double solveMicroSolverStaticLinear();
   double solveMicroSolverForwardEuler();
 
-  void OneStep(const int numstep);
+  void OneStep(const int numstep, double time);
 
  
 
diff --git a/NonLinearSolver/nlsolver/nonLinearSystemPETSc.h b/NonLinearSolver/nlsolver/nonLinearSystemPETSc.h
index 70390a85ef4d2f7b6d44f3cd4641e4ea398878aa..7f3b767bb19e9eb1b4aea01d36d0fc9850658c7a 100644
--- a/NonLinearSolver/nlsolver/nonLinearSystemPETSc.h
+++ b/NonLinearSolver/nlsolver/nonLinearSystemPETSc.h
@@ -55,6 +55,7 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
   Vec _xtemp; // temp step for cache data
   Vec _Fext;
   Vec _Fint;
+  Vec _lastResidual; // Fint-Fext in the previous iteration
   double _timeStep;
   std::vector<Vec> _multipleRHS, _multipleRHSSolution;
   int _numRHS;
@@ -71,6 +72,12 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
   int _lsite,_lsitemax;
   int _nbRows; // can be usefull to know the system's size for debug operation
   
+  bool _withBFGS;
+  int _BFGSCounter;
+  mutable std::map<int, Vec> _BFGSGammas; // store residual increment
+  mutable std::map<int, Vec> _BFGSDeltas; // store unknown increment
+  mutable std::map<int, double> _BFGSRhos;
+  
  protected:
    Vec& getState(const IPStateBase::whichState ws) {
     if (ws == IPStateBase::initial) return _xinit;
@@ -101,15 +108,32 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
                                                                  _alphaLsIte(0.), _resLsIte(0.), _res0(1.),
                                                                  _alphaLsPrev(1.), _lsitemax(lsitemax), _timeStep(0.),
                                                                  _nbRows(0),_isMultipleRHSAllocated(false),_numRHS(0),
-                                                                 _multipleRHS(0),_multipleRHSSolution(0)
+                                                                 _multipleRHS(0),_multipleRHSSolution(0),
+                                                                 _BFGSCounter(0), _withBFGS(false),
+                                                                 _BFGSGammas(), _BFGSDeltas(), _BFGSRhos()
   {
     this->_parameters["matrix_reuse"] = "same_sparsity";
   }
   virtual ~nonLinearSystemPETSc(){} // _xsol is destroied by clear() called by ~linearSystemPETSc()
+  
+  virtual void useQuasiNewtonMethod(bool fl)
+  {
+    if (fl)
+    {
+      Msg::Info("BFGS is activated");
+    }
+    else if (_withBFGS)
+    {
+      Msg::Info("BFGS is deasactivated");
+    }
+    _withBFGS = fl;
+    _BFGSCounter = 0;
+  }
 
   virtual void zeroMatrix()
   {
     linearSystemPETSc<scalar>::zeroMatrix();
+    _BFGSCounter = 0;
   }
   
   virtual void zeroMatrix(const nonLinearSystemBase::whichMatrix wm) 
@@ -126,6 +150,7 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
     {
       Msg::Error("matrix does not exist");
     }
+    _BFGSCounter = 0;
   };
 
   virtual void copy(const IPStateBase::whichState source,
@@ -240,6 +265,8 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
     _try(VecDuplicate(this->_x, &_Fextprev));
     _try(VecDuplicate(this->_x, &_Deltax));
     _try(VecDuplicate(this->_x, &_FextpFextprev));
+    _try(VecDuplicate(this->_x, &_lastResidual));
+    
     _nbRows = nbRows;
     _allocatednldata=true;
     _try(VecAssemblyBegin(_Fextprev));
@@ -252,6 +279,14 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
     _try(VecAssemblyBegin(_xinit));
     _try(VecAssemblyEnd(_xinit));
     _try(VecZeroEntries(_xinit));
+    
+    _try(VecAssemblyBegin(this->_b));
+    _try(VecAssemblyEnd(this->_b));
+    _try(VecZeroEntries(this->_b));
+    
+    _try(VecAssemblyBegin(_lastResidual));
+    _try(VecAssemblyEnd(_lastResidual));
+    _try(VecZeroEntries(_lastResidual));
   }
   virtual void clear(){
     linearSystemPETSc<scalar>::clear();
@@ -266,6 +301,7 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
       _try(VecDestroy(&_Fint));
       _try(VecDestroy(&_FextpFextprev));
       _try(VecDestroy(&_Deltax));
+      _try(VecDestroy(&_lastResidual));
       if (_isMultipleRHSAllocated)
       {
         _isMultipleRHSAllocated = false;
@@ -282,6 +318,21 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
         _multipleRHSSolution.clear();
       }
     }
+    
+    if (_withBFGS)
+    {
+      for (std::map<int,Vec>::iterator it = _BFGSDeltas.begin(); it != _BFGSDeltas.end(); it ++)
+      {
+        _try(VecDestroy(&(it->second)));
+      } 
+      for (std::map<int,Vec>::iterator it = _BFGSGammas.begin(); it != _BFGSGammas.end(); it ++)
+      {
+        _try(VecDestroy(&(it->second)));
+      } 
+      _BFGSDeltas.clear();
+      _BFGSGammas.clear();
+    }
+    
     _nbRows = 0;
     _allocatednldata = false;
     _flagb = false;
@@ -408,8 +459,6 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
 		if (Msg::GetCommRank() == this->_rootRank)
     #endif //HAVE_MPI
 		{
-                   //nlprintPETScVector(_xsol,_nbRows,"sol in solver");// printAll();
-                   //nlprintPETScVector(_Fint,_nbRows,"fint in solver");// printAll();
 			// _b = _Fext - _Fint Normally done via the called of normInfRightHandSide
 			if(!_flagb){
 			 #if defined(HAVE_MPI)
@@ -425,15 +474,87 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
 				_try(VecAXPY(this->_b,-1,_Fint));
 				_flagb = true;
 			}
-
-			// solve system
-			int ok = linearSystemPETSc<scalar>::systemSolve();
-      if (ok != 1)
+      
+      if (_withBFGS)
+      {
+        Msg::Info("BFGS iteration = %d BFGSDeltas.size=%d BFGSGammas.size = %d",
+                _BFGSCounter, _BFGSDeltas.size(), _BFGSGammas.size());
+        if (_BFGSCounter == 0)
+        {
+          // solve system
+          int ok = linearSystemPETSc<scalar>::systemSolve();
+          if (ok != 1)
+          {
+            return 0;
+          }
+          if (_BFGSDeltas.find(_BFGSCounter+1) == _BFGSDeltas.end())
+          {
+            Vec& v = _BFGSDeltas[_BFGSCounter+1];
+            _try(VecDuplicate(this->_x, &v));
+          }
+          _try(VecCopy(this->_x, _BFGSDeltas[_BFGSCounter+1]));
+          _try(VecCopy(this->_b, _lastResidual));
+          _try(VecScale(_lastResidual, -1.));
+        }
+        else
+        {
+          double val;
+          Vec q;
+          _try(VecDuplicate(this->_b, &q));
+          _try(VecCopy(this->_b, q));
+          _try(VecScale(q, -1));
+          
+          if (_BFGSGammas.find(_BFGSCounter) == _BFGSGammas.end())
+          {
+            Vec& v = _BFGSGammas[_BFGSCounter];
+            _try(VecDuplicate(this->_x, &v));
+          }
+          _try(VecAXPBYPCZ(_BFGSGammas[_BFGSCounter], 1., -1., 0., q, _lastResidual));
+          _try(VecDot(_BFGSDeltas[_BFGSCounter], _BFGSGammas[_BFGSCounter], &val));
+          _BFGSRhos[_BFGSCounter] = 1./val;
+          
+        _try(VecCopy(q, _lastResidual));        
+          //
+          std::vector<double> alphas(_BFGSCounter,0.);
+          for (int j= _BFGSCounter-1; j>-1; j--)
+          {
+            _try(VecDot(_BFGSDeltas[j+1], q, &val));
+            alphas[j] = _BFGSRhos[j+1]*val;
+            _try(VecAXPY(q, -alphas[j], _BFGSGammas[j+1]));
+          }
+          _try(VecCopy(q, this->_b));
+          int ok = linearSystemPETSc<scalar>::systemSolve();
+          if (ok != 1)
+          {
+            return 0;
+          }
+          for (int j=1; j< _BFGSCounter+1; j++)
+          {
+            _try(VecDot(_BFGSGammas[j], this->_x, &val));
+            _try(VecAXPY(this->_x, alphas[j-1]-_BFGSRhos[j]*val, _BFGSDeltas[j]));
+          }
+           _try(VecDestroy(&q));
+           // update solution
+          _try(VecScale(this->_x, -1.));
+          if (_BFGSDeltas.find(_BFGSCounter+1) == _BFGSDeltas.end())
+          {
+            Vec& v = _BFGSDeltas[_BFGSCounter+1];
+            _try(VecDuplicate(this->_x, &v));
+          }
+          _try(VecCopy(this->_x, _BFGSDeltas[_BFGSCounter+1]));
+        }
+        _BFGSCounter += 1;
+      }
+      else
       {
-        return 0;
+        // solve system
+        int ok = linearSystemPETSc<scalar>::systemSolve();
+        if (ok != 1)
+        {
+          return 0;
+        }
       }
       
-      
 			// print the matrix (debug purpose)
 			// nlprintPETScMatrix(this->_a,_nbRows,_nbRows,"K");
 
@@ -708,6 +829,10 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
   virtual void resetUnknownsToPreviousTimeStep()
   {
     _try(VecCopy(_xprev,_xsol));
+    _BFGSCounter = 0;
+    _try(VecAssemblyBegin(_lastResidual));
+    _try(VecAssemblyEnd(_lastResidual));
+    _try(VecZeroEntries(_lastResidual));
   }
   virtual void nextStep()
   {
@@ -722,6 +847,10 @@ class nonLinearSystemPETSc : public linearSystemPETSc<scalar>, public nonLinearS
     }
    #endif // HAVE_MPI
     _try(VecCopy(_xsol,_xprev));
+    _BFGSCounter = 0;
+    _try(VecAssemblyBegin(_lastResidual));
+    _try(VecAssemblyEnd(_lastResidual));
+    _try(VecZeroEntries(_lastResidual));
   }
   virtual double getExternalWork(const int syssize) const
   {
diff --git a/NonLinearSolver/nlsolver/nonLinearSystems.h b/NonLinearSolver/nlsolver/nonLinearSystems.h
index 7f339dedbc2b701a9fe03f0cd8c278aaabe402fb..42f90dcd6505e515e663e44defab8c2794c3e73a 100644
--- a/NonLinearSolver/nlsolver/nonLinearSystems.h
+++ b/NonLinearSolver/nlsolver/nonLinearSystems.h
@@ -102,6 +102,10 @@ class nonLinearSystemBase
     {
       Msg::Error("nonLinearSystemBase::setNoMassDofKeys is not implemented for this scheme");
     };
+    virtual void useQuasiNewtonMethod(bool flag)
+    {
+      Msg::Error("nonLinearSystemBase::useQuasiNewtonMethod is not implemented for this scheme");
+    };
     #if defined(HAVE_MPI)
     virtual double* getArrayIndexPreviousRightHandSidePlusMPI(const int index)=0;
     #endif // HAVE_MPI
diff --git a/NonLinearSolver/nlsolver/staticDofManager.cpp b/NonLinearSolver/nlsolver/staticDofManager.cpp
index e021c3d83e28768a19d41619a4171c3e8e74b7b7..9a6cad9cc3525e348f3d69c24da7134ead709d8e 100644
--- a/NonLinearSolver/nlsolver/staticDofManager.cpp
+++ b/NonLinearSolver/nlsolver/staticDofManager.cpp
@@ -528,7 +528,7 @@ void staticDofManager::updateDataFromCollection(const DofCollection& collect)
     std::map<Dof,std::vector<double> >::const_iterator itF = collect.allDofs.find(key);
     if (itF == collect.allDofs.end())
     {
-      Msg::Error("Dof does not exist in collection in updateDataFromCollection  - unknown: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
+      Msg::Warning("Dof does not exist in collection in updateDataFromCollection  - unknown: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
     }
     else
     {
@@ -558,7 +558,7 @@ void staticDofManager::updateDataFromCollection(const DofCollection& collect)
     std::map<Dof,std::vector<double> >::const_iterator itF = collect.allDofs.find(key);
     if (itF == collect.allDofs.end())
     {
-      Msg::Error("Dof does not exist in collection in updateDataFromCollection fixed: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
+      Msg::Warning("Dof does not exist in collection in updateDataFromCollection fixed: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
     }
     else
     {
@@ -579,7 +579,7 @@ void staticDofManager::updateDataFromCollection(const DofCollection& collect)
     std::map<Dof,std::vector<double> >::const_iterator itF = collect.allDofs.find(key);
     if (itF == collect.allDofs.end())
     {
-      Msg::Error("Dof does not exist in collection in updateDataFromCollection fixedDynamic: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
+      Msg::Warning("Dof does not exist in collection in updateDataFromCollection fixedDynamic: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
     }
     else
     {
@@ -604,7 +604,7 @@ void staticDofManager::updateDataFromCollection(const DofCollection& collect)
     std::map<Dof,std::vector<double> >::const_iterator itF = collect.allDofs.find(key);
     if (itF == collect.allDofs.end())
     {
-      Msg::Error("Dof does not exist in collection in updateDataFromCollection otherPartiton: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
+      Msg::Warning("Dof does not exist in collection in updateDataFromCollection otherPartiton: %d %d rank=%d",key.getEntity(),key.getType(),Msg::GetCommRank());
     }
     else
     {
diff --git a/NonLinearSolver/pathFollowing/pbcPathFollowingSystemPETSc.h b/NonLinearSolver/pathFollowing/pbcPathFollowingSystemPETSc.h
index f28b945a934442344e0bd3401b5c12df65bb4ab8..203e3a4167bcc0beaa9e4a135bd44eb2198b1499 100644
--- a/NonLinearSolver/pathFollowing/pbcPathFollowingSystemPETSc.h
+++ b/NonLinearSolver/pathFollowing/pbcPathFollowingSystemPETSc.h
@@ -397,10 +397,10 @@ class pbcPathFollowingSystemPETSC : public pbcNonLinearSystemPETSc<scalar>,
         delta = B*B - A*C;
         //Msg::Error("beta = %f, delta = %f",_beta,delta);
         if( delta<0.0 ){
-          Msg::Error("D = %e, E = %e, F = %e,A = %e",D,E,F,A);
-          Msg::Error("b1 = %f, b2 = %f",b1,b2);
-          Msg::Error("tau = %f, lamda = %f",_pseudoTimeIncrement,_controlStep);
-          Msg::Error("Fterm = %e, %e,%e,%e", (_aL*_controlStep+ _aU*vTdu/uScale2)*(_aL*_controlStep+ _aU*vTdu/uScale2)
+          Msg::Info("D = %e, E = %e, F = %e,A = %e",D,E,F,A);
+          Msg::Info("b1 = %f, b2 = %f",b1,b2);
+          Msg::Info("tau = %f, lamda = %f",_pseudoTimeIncrement,_controlStep);
+          Msg::Info("Fterm = %e, %e,%e,%e", (_aL*_controlStep+ _aU*vTdu/uScale2)*(_aL*_controlStep+ _aU*vTdu/uScale2)
                         ,A*(_aU*duTdu/uScale2),A*_aL*_controlStep*_controlStep , A*_pseudoTimeIncrement*_pseudoTimeIncrement);
           
         }
@@ -425,7 +425,7 @@ class pbcPathFollowingSystemPETSC : public pbcNonLinearSystemPETSc<scalar>,
           _try(VecAXPY(this->_xsol,s,this->_x));
         }
         else{
-          Msg::Error("relaxation error delta = %e",delta);
+          Msg::Info("relaxation error delta = %e",delta);
           return 0;
         }
         _try(VecDestroy(&dr));
diff --git a/NonLinearSolver/restart/restartManager.cpp b/NonLinearSolver/restart/restartManager.cpp
index 3194d2ada9432540961d649e58905bde1c976085..ff6b422e3dd86a3a50688490f1d3759a94c7938b 100644
--- a/NonLinearSolver/restart/restartManager.cpp
+++ b/NonLinearSolver/restart/restartManager.cpp
@@ -156,6 +156,11 @@ bool restartManager::internalStateRestartAvailable()
     return (!tempofile.fail());
 }
 
+void restartManager::resetLastSavedStep()
+{
+  _lastSavedStep = 0;
+}
+
 void restartManager::openRestartFile(const std::string &fname)
 {
   // include the partition number in the file name
diff --git a/NonLinearSolver/restart/restartManager.h b/NonLinearSolver/restart/restartManager.h
index fce53bcb9db832d3219a444a7e42e66b852b9404..1342fed127d40c5f61f82c2c625eedbd75a360c1 100644
--- a/NonLinearSolver/restart/restartManager.h
+++ b/NonLinearSolver/restart/restartManager.h
@@ -56,6 +56,7 @@ class restartManager{
   static void closeRestartFile();
   static bool available();
   static bool internalStateRestartAvailable();
+  static void resetLastSavedStep();
   template<class T> static void createRestart(const std::string &name, const T* obj)
   {
     restartManager::createRestartFile(name);
diff --git a/README.md b/README.md
index 0a546b2d5824accf6726f7d456d7efc042047255..8214fbbf5d59a8948986e29fba0fcd241e7a97bf 100644
--- a/README.md
+++ b/README.md
@@ -176,8 +176,9 @@ To use torch you can follow the instructions either [2.1. Without GPU capability
 ```bash
 cd && cd local 
 ```
+Here below to update with the last stable version from ```https://pytorch.org/```
 ```bash
-wget https://download.pytorch.org/libtorch/cpu/libtorch-shared-with-deps-2.1.1%2Bcpu.zip 
+wget https://download.pytorch.org/libtorch/cpu/libtorch-shared-with-deps-2.3.0%2Bcpu.zip 
 ```
  2. Unzip the archive, this will be extracted in ```$HOME/local/libtorch``` by default so make sure that directory does not exist: 
 ```bash
@@ -328,7 +329,7 @@ git clone https://gitlab.onelab.info/cm3/cm3MFH.git
  ```
  * Copy the source in cm3Libraries
 ```bash 
-cd cm3Libraries/src/ && ./copyFiles.sh && cd && cd cm3 
+cd cm3Libraries/dG3D/src/ && ./copyFiles.sh && cd && cd cm3 
  ```
  ### 4.3. Desinstall conflicting libraries
  * Gmsh (if installed), you will get a new version
diff --git a/dG3D/benchmarks/CMakeLists.txt b/dG3D/benchmarks/CMakeLists.txt
index 586558b5567154cd8f0eca3f1e50d639ccdd954a..f4d4ed3f6b88ae0a4af6080c7da0d4807a433eae 100644
--- a/dG3D/benchmarks/CMakeLists.txt
+++ b/dG3D/benchmarks/CMakeLists.txt
@@ -204,6 +204,7 @@ add_subdirectory(GursonBeremin_Cube_multipleLaws)
 add_subdirectory(GursonBeremin_Cube_multipleLawsAnistropic)
 add_subdirectory(uniaxialTestCornerMissing)
 add_subdirectory(nonLocalJ2_planeStress)
+add_subdirectory(nonLocalJ2-BFGS)
 add_subdirectory(nonLocalJ2_planeStressFbar)
 add_subdirectory(rveMicromorphisms_planeStress)
 add_subdirectory(rveMicromorphisms_planeStress_barF)
diff --git a/dG3D/benchmarks/EMT_Cylinder_Unit_Test/cyl_LinearEMT.py b/dG3D/benchmarks/EMT_Cylinder_Unit_Test/cyl_LinearEMT.py
index be136d29cfdb865c4c4ad243b73e5a19fdc715e9..02aba6c08756bfade1587ecf86d53aa9e2cde84a 100644
--- a/dG3D/benchmarks/EMT_Cylinder_Unit_Test/cyl_LinearEMT.py
+++ b/dG3D/benchmarks/EMT_Cylinder_Unit_Test/cyl_LinearEMT.py
@@ -206,7 +206,7 @@ mysolver.archivingForceOnPhysicalGroup("Face", 7, 5, 1);
 mysolver.solve()
 
 check = TestCheck()
-check.equal(9.482783e+08,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSMPStart, 3),1.e-5)
+check.equal(2.200194e+09,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSMPStart, 3),1.e-5)
 check.equal(-1.232263e+09,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSMPStart, 4),1.e-5)
 check.equal(1.232263e+09,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSMPEnd, 4),1.e-5)
 check.equal(4838094703.964682,mysolver.getArchivedForceOnPhysicalGroup("Face", 7, 5),1.e-5)
diff --git a/dG3D/benchmarks/EM_heating_SMPPheno_withAir/EM_heating_SMPPheno_withAir.py b/dG3D/benchmarks/EM_heating_SMPPheno_withAir/EM_heating_SMPPheno_withAir.py
index 9a3e080621a3d416805a01bc1719f91d54062b6e..ce1e7741c9de1c05150447570e19842808b69cad 100644
--- a/dG3D/benchmarks/EM_heating_SMPPheno_withAir/EM_heating_SMPPheno_withAir.py
+++ b/dG3D/benchmarks/EM_heating_SMPPheno_withAir/EM_heating_SMPPheno_withAir.py
@@ -10,28 +10,28 @@ from dG3Dpy import*
 import math
 
 #==========Electric & magnetic parameters SMPC========================
-lx=ly=lz=25. # electrical conductivity (S/m) 
+lx=ly=lz=1.0e5 # electrical conductivity (S/m) 
 seebeck=0.0 #21.e-6
 v0=0. # initial electric potential
 epsilon_0 = 8.854 * 1.e-12 # vacuum electric permittivity
 mag_mu_0 = 4.e-7 * math.pi # vacuum magnetic permeability
 epsilon_r_smp = 1.0 # relative elec permittivity of SMP
-mag_r_smp = 5.0 # relative mag permeability of SMP
+mag_r_smp = 20.0 # relative mag permeability of SMP
 # use of electric permittivity constants to formulate polarization
 epsilon_4 = 0.0
 epsilon_6 = 0.0
 epsilon_5 = 0.0 #(epsilon_0 * (1.0-epsilon_r_smp)/rho)
 # use of magnetic permeability constants to formulate magnetization
 mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -1.88496e-3 # magnetic permeability constants of SMP
+mu_8 = -1.58733e-3 # magnetic permeability constants of SMP (rho * mag_mu_0)/((1.0/mag_r_smp)-1.0)
 mu_9 = 0.0 # magnetic permeability constants of SMP
 mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
 magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
-Irms = 280. # (Ampere)
-freq = 38870. # (Hz)
-nTurnsCoil = 1 #1000
-coilLx = coilLy = coilLz = 852.e-5 #1. # m
-coilW = 852.e-5 #3.e-2 # m
+Irms = 100.*325. # (Ampere)
+freq = 1000. # (Hz)
+nTurnsCoil = 1000
+coilLx = coilLy = coilLz = 1. # m
+coilW = 3.e-2 # m
 
 # material law: SMP
 RintSMP = 0.0095 #m
@@ -75,8 +75,8 @@ crystallizationRate.put(0.,20.)
 crystallizationRate.put(0.1,0)
 crystallizationRate.put(1.,0.)
   
-cg	= 2.02*rho #1974210.		
-cr	= 2.02*rho #1744200.
+cg	= 2020.*rho #1974210.
+cr	= 2020.*rho #1744200.
 Kxg=Kyg=Kzg=Kxr=Kyr=Kzr	= 0.22					  
 TaylorQuineyG=TaylorQuineyR=TaylorQuineyAM= 1.		# fraction of plastic energy converted to thermal energy	
 
@@ -84,7 +84,7 @@ cfG	= 1.0
 cfR	= 0.0		
 
 alphaAM0= 1.e-5#alphar0
-cAM	= 2.02*rho		
+cAM	= 2020.*rho
 KxAM=KyAM=KzAM = Kxr
 
 cfAM	= 0.0
@@ -200,6 +200,7 @@ alphaShearAMDilatationTempCoef=0.02;
 fieldSource =True  	#True #account for cp dT dt 	
 mecaSource  =True 	#False #account for Taylor Quincey	
 
+tinitial = 273.-10.
 t0 = 273.+60.
 t1 = 273.-10.
 tair= 273.+20.;
@@ -211,7 +212,7 @@ _j2IHRc = LinearExponentialJ2IsotropicHardening(lawnum+3,  1.2*tau_y0R, 1.2*HR1,
 _j2IHAMt = LinearExponentialJ2IsotropicHardening(lawnum+4,  tau_y0AM, HAM1, HAM2, HAM3)
 _j2IHAMc = LinearExponentialJ2IsotropicHardening(lawnum+5,  1.2*tau_y0AM, 1.2*HAM1, 1.2*HAM2, HAM3)
 
-lawSMPPheno= PhenomenologicalSMPDG3DMaterialLaw(lawnum+7, rho, alpha, beta, gamma, t0, 
+lawSMPPheno= PhenomenologicalSMPDG3DMaterialLaw(lawnum+7, rho, alpha, beta, gamma, tinitial, 
                                            Kxg, Kyg, Kzg, Kxr, Kyr, Kzr, KxAM, KyAM, KzAM,
                                            cfG, cfR, cfAM, cg, cr, cAM,
                                            Tm0, Tc0, xi, wm0, wc0,
@@ -220,7 +221,7 @@ lawSMPPheno= PhenomenologicalSMPDG3DMaterialLaw(lawnum+7, rho, alpha, beta, gamm
                                            TaylorQuineyG,TaylorQuineyR,TaylorQuineyAM, zAM)
 
 lawSMPPheno.setFunctionCrystallizationVolumeRate(crystallizationRate)
-lawSMPPheno.setStrainOrder(-1)												
+lawSMPPheno.setStrainOrder(5)												
 lawSMPPheno.setJ2IsotropicHardeningTractionG(_j2IHGt)
 lawSMPPheno.setJ2IsotropicHardeningCompressionG(_j2IHGc)
 lawSMPPheno.setKinematicHardeningG(hardenkG)
@@ -306,8 +307,8 @@ Gvac=156.e1 # Shear modulus
 Muvac = 0.35 # Poisson ratio
 Evac= 2.0 * Gvac * (1.0 + Muvac) #youngs modulus
 alphavac = betavac = gammavac = 0. # parameter of anisotropy
-cpvac= 1.e-12 #1012.*rhovac
-Kxvac=Kyvac=Kzvac= 1.e-6 #26.e-3 # thermal conductivity tensor components
+cpvac= 1012.*rhovac
+Kxvac=Kyvac=Kzvac= 1.e-12 #26.e-3 # thermal conductivity tensor components
 lxvac=lyvac=lzvac= 1.e-12 # electrical conductivity
 seebeckvac= 0.
 alphaThermvac= 0.0 # thermal dilatation
@@ -315,21 +316,27 @@ v0vac = 0.
 mag_r_vac = 1.0 # relative mag permeability of inductor
 mag_mu_x_vac = mag_mu_y_vac = mag_mu_z_vac = mag_r_vac * mag_mu_0 # mag permeability inductor 
 magpot0_x_vac = magpot0_y_vac = magpot0_z_vac = 0.0 # initial magnetic potential
+epsilon_4_vac = 0.0
+epsilon_6_vac = 0.0
+epsilon_5_vac = 0.0
+mu_7_vac = 0.0
+mu_9_vac = 0.0 
+mu_8_vac = 0.0 
 
 useFluxT=True
 evaluateCurlField = True;
 evaluateTemperature = True;
 
 # geometry
-meshfile="clara_test_hollow_smp.msh" # name of mesh file
+meshfile="undeformedSMPFullDomain.msh" # name of mesh file
 
 # solver
 sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
 soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1, Explicit=2, Multi=3, Implicit=4, Eigen=5
-nstep = 4 #310960 # 8*EMncycles # number of step (used only if soltype=1)
-ftime = 1. # EMncycles/freq; # according to characteristic time
-tol=1.e-6   # relative tolerance for NR scheme (used only if soltype=1)
-nstepArch=100 # Number of step between 2 archiving (used only if soltype=1)
+nstep = 1600 # 8*EMncycles # number of step (used only if soltype=1)
+ftime = 1.e-3 # EMncycles/freq; # according to characteristic time
+tol=1.e-3   # relative tolerance for NR scheme (used only if soltype=1)
+nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
 fullDg = False #O = CG, 1 = DG
 space1 = 0 # function space (Lagrange=0)
 beta1 = 40.
@@ -344,7 +351,7 @@ mag_mu_y,mag_mu_z,epsilon_4,epsilon_5,epsilon_6,mu_7,mu_8,mu_9,magpot0_x,magpot0
 
 lawsmp.setThermoMechanicalMaterialLaw(lawSMPPheno);
 lawsmp.setApplyReferenceF(False);
-lawsmp.setUseEMStress(True);
+lawsmp.setUseEMStress(False);
 
 #pertLawsmp = dG3DMaterialLawWithTangentByPerturbation(lawsmp,1.e-8)
 
@@ -357,7 +364,7 @@ hardenind = LinearExponentialJ2IsotropicHardening(lawnumind, sy0, h, 0., 10.)
 lawMechind   = J2LinearDG3DMaterialLaw(lawnumind,rhoind,Eind,Muind,hardenind)
 lawMechind.setStrainOrder(-1)
 
-lawTMind = GenericThermoMechanicsDG3DMaterialLaw(lawnumind+1,rhoind,alphaind,betaind,gammaind,tair,
+lawTMind = GenericThermoMechanicsDG3DMaterialLaw(lawnumind+1,rhoind,alphaind,betaind,gammaind,tinitial,
 Kxind,Kyind,Kzind,alphaThermind,alphaThermind,alphaThermind,cpind)
 lawTMind.setMechanicalMaterialLaw(lawMechind);
 lawTMind.setApplyReferenceF(False);
@@ -380,7 +387,7 @@ hardenvac = LinearExponentialJ2IsotropicHardening(lawnumvac, sy0, h, 0., 10.)
 lawMechvac   = J2LinearDG3DMaterialLaw(lawnumvac,rhovac,Evac,Muvac,hardenvac)
 lawMechvac.setStrainOrder(-1)
 
-lawTMvac = GenericThermoMechanicsDG3DMaterialLaw(lawnumvac+1,rhovac,alphavac,betavac,gammavac,tair,
+lawTMvac = GenericThermoMechanicsDG3DMaterialLaw(lawnumvac+1,rhovac,alphavac,betavac,gammavac,tinitial,
 Kxvac,Kyvac,Kzvac,alphaThermvac,alphaThermvac,alphaThermvac,cpvac)
 lawTMvac.setMechanicalMaterialLaw(lawMechvac);
 lawTMvac.setApplyReferenceF(False);
@@ -389,7 +396,7 @@ _cpvac = constantScalarFunction(cpvac);
 lawTMvac.setLawForCp(_cpvac);
 
 lawvac = ElecMagGenericThermoMechanicsDG3DMaterialLaw(lawnumvac+2,rhovac,alphavac,betavac,gammavac,lxvac,lyvac,lzvac,
-seebeckvac,v0vac, mag_mu_x_vac, mag_mu_y_vac, mag_mu_z_vac,0.0,0.0,0.0,0.0,0.0,0.0, magpot0_x_vac,
+seebeckvac,v0vac, mag_mu_x_vac, mag_mu_y_vac, mag_mu_z_vac,epsilon_4_vac,epsilon_5_vac,epsilon_6_vac,mu_7_vac,mu_8_vac,mu_9_vac, magpot0_x_vac,
 magpot0_y_vac, magpot0_z_vac, Irms, freq, nTurnsCoil, coilLx, coilLy, coilLz, coilW,useFluxT,evaluateCurlField,evaluateTemperature)
 
 lawvac.setThermoMechanicalMaterialLaw(lawTMvac);
@@ -436,7 +443,7 @@ Inductor_field.setConstitutiveExtraDofDiffusionAccountSource(fieldSource,mecaSou
 #SMP_field.matrixByPerturbation(0,0,0,1.e-8)
 
 # creation of Solver
-mysolver = nonLinearMechSolver(200)
+mysolver = nonLinearMechSolver(1000)
 mysolver.loadModel(meshfile)
 mysolver.addDomain(SMP_field)
 mysolver.addDomain(Inductor_field)
@@ -446,11 +453,10 @@ mysolver.addMaterialLaw(lawind)
 mysolver.addMaterialLaw(lawvac)
 mysolver.Scheme(soltype)
 mysolver.Solver(sol)
-#mysolver.snlData(nstep,ftime,tol,tol/100.)
-mysolver.snlData(nstep,ftime*nstep/310960.,tol,tol/100.)
+mysolver.snlData(nstep,ftime,tol,tol/100.)
+#mysolver.snlData(nstep,ftime*nstep/310960.,tol,tol/100.)
 #mysolver.implicitSpectralRadius(0.01)  
-mysolver.options("-ksp_type preonly")
-mysolver.options("-pc_type lu")
+mysolver.options("-ksp_type preonly -pc_type lu -pc_factor_mat_solver_type petsc")
 mysolver.stepBetweenArchiving(nstepArch)
 mysolver.snlManageTimeStep(50, 3, 2, 10)
 
@@ -481,19 +487,20 @@ mysolver.displacementBC("Face",SurfVacOut,1,0.0)
 mysolver.displacementBC("Face",SurfVacOut,2,0.0)"""
 
 #thermal BC
-mysolver.initialBC("Volume","Position",SMPfield,3,t1)
-mysolver.initialBC("Volume","Position",Indfield,3,t1)
-mysolver.initialBC("Volume","Position",Vacfield,3,t1)
-cyclicFunctionTemp1=cycleFunctionTime(0., t1,ftime,t1);
+mysolver.initialBC("Volume","Position",SMPfield,3,tinitial)
+mysolver.initialBC("Volume","Position",Indfield,3,tinitial)
+mysolver.initialBC("Volume","Position",Vacfield,3,tinitial)
+cyclicFunctionTempAir=cycleFunctionTime(0., tinitial,ftime,tinitial);
 #mysolver.displacementBC("Volume",SMPfield,3,cyclicFunctionTemp1) #-------------
-mysolver.displacementBC("Volume",Indfield,3,cyclicFunctionTemp1)
+mysolver.displacementBC("Volume",Indfield,3,cyclicFunctionTempAir)
 #mysolver.displacementBC("Volume",Vacfield,3,cyclicFunctionTemp1) #-------------
-mysolver.displacementBC("Face",SurfVacOut,3,cyclicFunctionTemp1)
+mysolver.displacementBC("Face",SurfVacOut,3,cyclicFunctionTempAir)
 
 #electrical BC
-mysolver.displacementBC("Volume",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",SMPfield,4,0.0)
+mysolver.initialBC("Volume","Position",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",Vacfield,4,0.0)
+mysolver.displacementBC("Volume",Indfield,4,0.0)
 mysolver.displacementBC("Face",SurfVacOut,4,0.0)
 mysolver.displacementBC("Node",SmpRefPoint,4,0.0)
 
@@ -539,6 +546,9 @@ mysolver.internalPointBuildView("bz",IPField.MAGNETICINDUCTION_Z, 1, 1)
 mysolver.internalPointBuildView("hx",IPField.MAGNETICFIELD_X, 1, 1)
 mysolver.internalPointBuildView("hy",IPField.MAGNETICFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("hz",IPField.MAGNETICFIELD_Z, 1, 1)
+mysolver.internalPointBuildView("dx",IPField.ELECDISPLACEMENT_X, 1, 1)
+mysolver.internalPointBuildView("dy",IPField.ELECDISPLACEMENT_Y, 1, 1)
+mysolver.internalPointBuildView("dz",IPField.ELECDISPLACEMENT_Z, 1, 1)
 mysolver.internalPointBuildView("js0_x",IPField.INDUCTORSOURCEVECTORFIELD_X, 1, 1)
 mysolver.internalPointBuildView("js0_y",IPField.INDUCTORSOURCEVECTORFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("js0_z",IPField.INDUCTORSOURCEVECTORFIELD_Z, 1, 1)
@@ -554,6 +564,34 @@ mysolver.internalPointBuildView("F_zz",IPField.F_ZZ, 1, 1)
 mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
 mysolver.internalPointBuildView("jacobian",IPField.JACOBIAN, 1, 1)
 
+mysolver.internalPointBuildView("FthG_YY", IPField.FthG_YY,    	1, 1)
+mysolver.internalPointBuildView("FthG_ZZ", IPField.FthG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FthR_YY", IPField.FthR_YY,    	1, 1)
+mysolver.internalPointBuildView("FthR_ZZ", IPField.FthR_ZZ,   	1, 1)
+mysolver.internalPointBuildView("FfG_YY", IPField.FfG_YY,    	1, 1)
+mysolver.internalPointBuildView("FfG_ZZ", IPField.FfG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FpG_YY", IPField.FpG_YY,    1, 1)
+mysolver.internalPointBuildView("FpG_ZZ", IPField.FpG_ZZ,    1, 1)
+mysolver.internalPointBuildView("epsG", IPField.epsG,      1, 1)
+mysolver.internalPointBuildView("FveG_YY", IPField.FveG_YY,    1, 1)
+mysolver.internalPointBuildView("FveG_ZZ", IPField.FveG_ZZ,   1, 1)
+mysolver.internalPointBuildView("FP_YY", IPField.FP_YY,     1, 1)
+mysolver.internalPointBuildView("FP_ZZ", IPField.FP_ZZ,      1, 1)
+mysolver.internalPointBuildView("FpR_YY", IPField.FpR_YY,   1, 1)
+mysolver.internalPointBuildView("FpR_ZZ", IPField.FpR_ZZ,    1, 1)
+mysolver.internalPointBuildView("FveR_YY", IPField.FveR_YY,   1, 1)
+mysolver.internalPointBuildView("FveR_ZZ", IPField.FveR_ZZ,   1, 1)
+
+mysolver.internalPointBuildView("ZG", IPField.ZG,    1, 1)
+mysolver.internalPointBuildView("PDF", IPField.PDF,        1, 1)
+mysolver.internalPointBuildView("TT", IPField.TT,    1, 1)
+mysolver.internalPointBuildView("WT", IPField.WT,    1, 1)
+  
+mysolver.internalPointBuildView("FthAM_YY", IPField.FthAM_YY,   1, 1)
+mysolver.internalPointBuildView("FthAM_ZZ", IPField.FthAM_ZZ,   1, 1)
+mysolver.internalPointBuildView("FfAM_YY", IPField.FfAM_YY,   1, 1)
+mysolver.internalPointBuildView("FfAM_ZZ", IPField.FfAM_ZZ,   1, 1)
+
 # ===Variable storage==============================================================================
 
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SVM,		IPField.MEAN_VALUE);
@@ -681,12 +719,18 @@ mysolver.archivingForceOnPhysicalGroup("Face", SurfVacOut, 3, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SurfVacOut, 4, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SurfVacOut, 5, 1);
 
-
-
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 0, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 1, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 2, 1);
 
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 2, 1);
+
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 0, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 1, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 2, nstepArch);
+
 mysolver.archivingNodeDisplacement(SmpRefPoint,0,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,1,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,2,1);
@@ -694,10 +738,10 @@ mysolver.archivingNodeDisplacement(SmpRefPoint,3,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,4,1);
 
 #mysolver.setWriteDeformedMeshToFile(True);
-mysolver.createRestartBySteps(100);
+mysolver.createRestartBySteps(50);
 mysolver.solve()
 
-
+"""
 check = TestCheck()
 
 check.equal(-2.396657e-07,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e-5)
@@ -708,4 +752,4 @@ check.equal(2.028724e-06,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfIn
 check.equal(2.448701e+00,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 5),1.e-5)
 check.equal(0.000000e+00,mysolver.getArchivedNodalValue(SmpRefPoint,1,mysolver.displacement),1.e-5)
 check.equal(2.630001e+02,mysolver.getArchivedNodalValue(SmpRefPoint,3,mysolver.displacement),1.e-5)
-
+"""
diff --git a/dG3D/benchmarks/EM_heating_SMPPheno_withAir/submit_vinu.sh b/dG3D/benchmarks/EM_heating_SMPPheno_withAir/submit_vinu.sh
index fea69ce611297d7e4a49e78fd257ac45c20eb704..d88c6a068f3848694863bf42dbf5bb146a1b53d7 100644
--- a/dG3D/benchmarks/EM_heating_SMPPheno_withAir/submit_vinu.sh
+++ b/dG3D/benchmarks/EM_heating_SMPPheno_withAir/submit_vinu.sh
@@ -1,13 +1,13 @@
 #!/bin/sh
 
 # script example for dragon2
-#SBATCH --job-name EM_heating_SMPPheno_withAir
+#SBATCH --job-name EM_Heating_SMPPheno_Air
 #SBATCH --mail-user=vinayak.gholap@doct.uliege.be
 #SBATCH --mail-type=ALL
 #SBATCH --output="out.txt"
 #SBATCH --ntasks=1
-#SBATCH --mem-per-cpu=150000
-#SBATCH --time=19-23:59:00
+#SBATCH --mem-per-cpu=45GB
+#SBATCH --time=20-23:59:00
 #SBATCH --partition=long
 
 module load OpenMPI/4.1.1-GCC-11.2.0
@@ -30,6 +30,8 @@ mkdir -p ${USER}_$SLURM_JOB_ID || exit $?
 cp $SUBDIR/$pyfile $SCRATCH/ || exit $?
 cp $SUBDIR/$mshfile $SCRATCH/ || exit $? 
 
+cp $SUBDIR/*.py $SCRATCH/ || exit $?
+
 cd $SCRATCH # needed to work in the tmpscrach dir otherwise work on home !!
 #ls -artl
 
@@ -38,10 +40,11 @@ export PETSC_ARCH=arch-linux-cxx-opt
 
 export PATH=$HOME/local/bin:$PATH
 
-export PATH=$PATH:$HOME/cm3Libraries/dG3D/release/NonLinearSolver/gmsh
+export buildmode=release
+export PATH=$PATH:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh
 
 
-export PYTHONPATH=$PYTHONPATH:$HOME/cm3Libraries/dG3D/release:$HOME/cm3Libraries/dG3D/release/NonLinearSolver/gmsh/utils/wrappers:$HOME/cm3Libraries/dG3D/release/NonLinearSolver/gmsh/utils/wrappers/gmshpy
+export PYTHONPATH=$PYTHONPATH:$HOME/cm3Libraries/dG3D/$buildmode:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh/utils/wrappers:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh/utils/wrappers/gmshpy
 
 
 mpirun python3  $SCRATCH/$pyfile >& $SCRATCH/output.txt
@@ -52,7 +55,7 @@ sleep 5
 
 mkdir $SUBDIR/$SLURM_JOB_ID
 
-srun cp -f $SCRATCH/* $SUBDIR/$SLURM_JOB_ID/  || exit $? 
+srun cp -r -f $SCRATCH/* $SUBDIR/$SLURM_JOB_ID/  || exit $? 
 srun rm -rf $SCRATCH ||  exit $? 
 echo -e "\n"
 
diff --git a/dG3D/benchmarks/GursonThomasonMultipleNonlocalVar_PathFollowing/Plane_notch.py b/dG3D/benchmarks/GursonThomasonMultipleNonlocalVar_PathFollowing/Plane_notch.py
index 22891da050d9f0470a359c215b5ad19dcd62791a..f0c7aa4ebffca6ddbb5e0702cd9e2cdc15bb4057 100644
--- a/dG3D/benchmarks/GursonThomasonMultipleNonlocalVar_PathFollowing/Plane_notch.py
+++ b/dG3D/benchmarks/GursonThomasonMultipleNonlocalVar_PathFollowing/Plane_notch.py
@@ -190,4 +190,4 @@ mysolver.archivingIPOnPhysicalGroup("Face", 700, IPField.LOCAL_POROSITY,IPField.
 mysolver.solve()
 
 check = TestCheck()
-check.equal(-5.458378e+01,mysolver.getArchivedForceOnPhysicalGroup("Edge", 1400, 0),1.e-6)
+check.equal(-5.457839e+01,mysolver.getArchivedForceOnPhysicalGroup("Edge", 1400, 0),1.e-5)
diff --git a/dG3D/benchmarks/GursonThomason_cube_I1J2J3_Transition/cube.py b/dG3D/benchmarks/GursonThomason_cube_I1J2J3_Transition/cube.py
index 9ff9882b1095757d3dd388a77974b0d003ab5f66..eedc91f7f18dcd3f0711a3c8b0655dd7430ece4a 100644
--- a/dG3D/benchmarks/GursonThomason_cube_I1J2J3_Transition/cube.py
+++ b/dG3D/benchmarks/GursonThomason_cube_I1J2J3_Transition/cube.py
@@ -63,7 +63,7 @@ fracLaw1 = FractureByCohesive3DLaw(fracLawNum1,BulkLawNum1,interfaceLawNum1)
 # Solver parameters - implicit
 # ===================================================================================
 soltype = 1 		# StaticLinear=0 (default, StaticNonLinear=1, Explicit=2, # Multi=3, Implicit=4, Eigen=5)
-nstep = 1000 		# Number of step
+nstep = 200 		# Number of step
 ftime =1.0 		# Final time
 tol=1.e-6 		# Relative tolerance for NR scheme
 tolAbs = 1.e-8		# Absolute tolerance for NR scheme
@@ -141,9 +141,9 @@ elif method==1:
 T = 2
 fact1 = 0.3; # (T-1./3.)/(T+2./3)
 fact2 = 0.3; #
-mysolver.pressureOnPhysicalGroupBC("Face",2,1e3,0.)
-mysolver.pressureOnPhysicalGroupBC("Face",4,fact1*1e3,0.)
-mysolver.pressureOnPhysicalGroupBC("Face",6,fact2*1e3,0.)
+mysolver.pressureOnPhysicalGroupBC("Face",2,1.5e3,0.)
+mysolver.pressureOnPhysicalGroupBC("Face",4,fact1*1.5e3,0.)
+mysolver.pressureOnPhysicalGroupBC("Face",6,fact2*1.5e3,0.)
 
 # Variable storage
 # ===============================
@@ -194,7 +194,7 @@ check = TestCheck()
 import csv
 data = csv.reader(open('IPVolume11val_LOCAL_POROSITYMax.csv'), delimiter=';')
 porosity = list(data)
-check.equal(2.644367e-02,float(porosity[-1][1]),1e-6)
+check.equal(2.662381e-02,float(porosity[-1][1]),1e-6)
 
 
 
diff --git a/dG3D/benchmarks/GursonThomason_cube_Transition/cube.py b/dG3D/benchmarks/GursonThomason_cube_Transition/cube.py
index 30954273e3fdf625c3a0835c39c7b1c25a09809a..e2678f029a4eba4499104d548df79ca0b337e80d 100644
--- a/dG3D/benchmarks/GursonThomason_cube_Transition/cube.py
+++ b/dG3D/benchmarks/GursonThomason_cube_Transition/cube.py
@@ -60,12 +60,12 @@ fracLaw1 = FractureByCohesive3DLaw(fracLawNum1,BulkLawNum1,interfaceLawNum1)
 # Solver parameters - implicit
 # ===================================================================================
 soltype = 1 		# StaticLinear=0 (default, StaticNonLinear=1, Explicit=2, # Multi=3, Implicit=4, Eigen=5)
-nstep = 1000 		# Number of step
+nstep = 100 		# Number of step
 ftime =1.0 		# Final time
 tol=1.e-6 		# Relative tolerance for NR scheme
 tolAbs = 1.e-8		# Absolute tolerance for NR scheme
-nstepArchIP=1		# Number of step between 2 archiving
-nstepArchForce = 1	# Number of step between 2 force archiving
+nstepArchIP=10		# Number of step between 2 archiving
+nstepArchForce = 10	# Number of step between 2 force archiving
 nstepArchEnergy = nstepArchForce # Number of step between 2 energy computation and archiving
 
 MaxIter = 16		# Maximum number of iterations
diff --git a/dG3D/benchmarks/GursonThomason_cube_withLodeEnhanced/cube.py b/dG3D/benchmarks/GursonThomason_cube_withLodeEnhanced/cube.py
index 75c0da11b9275c61e65f0d74a1feac1efcf56acc..f8a450b7081a2ca8f9911525f22d38c4db0730b3 100644
--- a/dG3D/benchmarks/GursonThomason_cube_withLodeEnhanced/cube.py
+++ b/dG3D/benchmarks/GursonThomason_cube_withLodeEnhanced/cube.py
@@ -54,12 +54,12 @@ BulkLaw1.setCLengthLaw(Cl_Law1)
 # Solver parameters - implicit
 # ===================================================================================
 soltype = 1 		# StaticLinear=0 (default, StaticNonLinear=1, Explicit=2, # Multi=3, Implicit=4, Eigen=5)
-nstep = 300 		# Number of step
+nstep = 800 		# Number of step
 ftime =1.0 		# Final time
 tol=1.e-6 		# Relative tolerance for NR scheme
 tolAbs = 1.e-8		# Absolute tolerance for NR scheme
-nstepArchIP=300		# Number of step between 2 archiving
-nstepArchForce = 300	# Number of step between 2 force archiving
+nstepArchIP=3		# Number of step between 2 archiving
+nstepArchForce = 3	# Number of step between 2 force archiving
 nstepArchEnergy = nstepArchForce # Number of step between 2 energy computation and archiving
 
 MaxIter = 12		# Maximum number of iterations
@@ -118,7 +118,7 @@ if method==0:
 	mysolver.setPathFollowingControlType(0)
 	mysolver.setPathFollowingCorrectionMethod(0)
 	mysolver.setPathFollowingArcLengthStep(2e-1)
-	mysolver.setBoundsOfPathFollowingArcLengthSteps(0,5e-1);
+	mysolver.setBoundsOfPathFollowingArcLengthSteps(0,2e-1);
 elif method==1:
 	mysolver.setPathFollowingIncrementAdaptation(False,5)
 	mysolver.setPathFollowingLocalSteps(1e-1,1e-2)
@@ -197,7 +197,7 @@ check = TestCheck()
 import csv
 data = csv.reader(open('IPVolume11val_LOCAL_POROSITYMax.csv'), delimiter=';')
 porosity = list(data)
-check.equal(5.348582e-01,float(porosity[-1][1]),1e-6)
+check.equal(5.325134e-01,float(porosity[-1][1]),1e-6)
 
 
 
diff --git a/dG3D/benchmarks/Inno_EMT_test/InnoElecMagTherm.py b/dG3D/benchmarks/Inno_EMT_test/InnoElecMagTherm.py
index eaffef9f573d47b4f183551e6aeaddc35e5a8b50..6448c94be290b3e13f5703e9ba1bed76e3efd525 100644
--- a/dG3D/benchmarks/Inno_EMT_test/InnoElecMagTherm.py
+++ b/dG3D/benchmarks/Inno_EMT_test/InnoElecMagTherm.py
@@ -306,12 +306,12 @@ check.equal(0.000000e+00,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSm
 #check.equal(3.399153e-04,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e-5)
 check.equal(-3.484000e-03,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 4),1.e-2)
 check.equal(3.144224e-03,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 4),1.e-5)
-check.equal(-6.771602e-04,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
+check.equal(-6.847045e-04,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
 check.equal(3.720132e-01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 5),1.e-5)
 check.equal(5.949466e+03,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 5),1.e-5)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,0,mysolver.displacement),1.e-5)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,1,mysolver.displacement),1.e-5)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,2,mysolver.displacement),1.e-5)
-check.equal(2.995559e+02,mysolver.getArchivedNodalValue(SmpRefPoint,3,mysolver.displacement),1.e-5)
+check.equal(1.055588e+03,mysolver.getArchivedNodalValue(SmpRefPoint,3,mysolver.displacement),1.e-5)
 check.equal(0.,mysolver.getArchivedNodalValue(SmpRefPoint,4,mysolver.displacement),1.e-5)
 
diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/EM_weakCoupling.py b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/EM_weakCoupling.py
index 2fe4a4d6a2b07a36211a1d3c155f3a460d42dfea..1faff0621e541d58246c839c0d91e0890e1bc9b7 100644
--- a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/EM_weakCoupling.py
+++ b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/EM_weakCoupling.py
@@ -36,7 +36,11 @@ epsilon_6 = 0.0
 epsilon_5 = 0.0 #(epsilon_0 * (1.0-epsilon_r_smp)/rho)
 # use of magnetic permeability constants to formulate magnetization
 mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -3.5715e-4 # magnetic permeability constants of SMP
+if(mag_r_smp == 1.0):
+  mu_8 = 0.0
+else:
+  mu_8 = (rho * mag_mu_0)/((1.0/mag_r_smp)-1.0) # magnetic permeability constants of SMP
+#print("mu_8 = ",mu_8)
 mu_9 = 0.0 # magnetic permeability constants of SMP
 mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
 magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
@@ -116,7 +120,7 @@ tol=1.e-9   # relative tolerance for NR scheme (used only if soltype=1)
 nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
 fullDg = 0 #O = CG, 1 = DG
 beta1 = 1000.
-eqRatio =1.e0
+eqRatio =1.e6
 
 #  compute solution and BC (given directly to the solver
 # creation of law
@@ -256,8 +260,7 @@ mysolver.addMaterialLaw(lawvac)
 mysolver.Scheme(soltype)
 mysolver.Solver(sol)
 mysolver.snlData(EMnstep,EMftime,tol,1.e-9)#forsmp
-mysolver.options("-ksp_type preonly")
-mysolver.options("-pc_type lu")
+mysolver.options("-ksp_type preonly -pc_type lu -pc_factor_mat_solver_type petsc")
 
 mysolver.stepBetweenArchiving(nstepArch)
 mysolver.snlManageTimeStep(25, 10, 2, 10)
diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/TM_weakCoupling.py b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/TM_weakCoupling.py
index 7871f8e494e380210d41681715a5a988145645cd..e734ded06cc2f5ce7fcd22028a46ba277d63bf4b 100644
--- a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/TM_weakCoupling.py
+++ b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/TM_weakCoupling.py
@@ -36,7 +36,11 @@ epsilon_6 = 0.0
 epsilon_5 = 0.0 #(epsilon_0 * (1.0-epsilon_r_smp)/rho)
 # use of magnetic permeability constants to formulate magnetization
 mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -3.5715e-4 # magnetic permeability constants of SMP
+if(mag_r_smp == 1.0):
+  mu_8 = 0.0
+else:
+  mu_8 = (rho * mag_mu_0)/((1.0/mag_r_smp)-1.0) # magnetic permeability constants of SMP
+#print("mu_8 = ",mu_8)
 mu_9 = 0.0 # magnetic permeability constants of SMP
 mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
 magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
@@ -75,7 +79,7 @@ tol=1.e-9   # relative tolerance for NR scheme (used only if soltype=1)
 nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
 fullDg = 0 #O = CG, 1 = DG
 beta1 = 1000.
-eqRatio =1.e0
+eqRatio =1.e6
 
 #  compute solution and BC (given directly to the solver
 # creation of law
@@ -149,8 +153,7 @@ for i in range(nbCoupling):
   if((i+1)*ftime/nbCoupling<=time):
     mysolver.setNumStepTimeInterval((i+1)*ftime/nbCoupling,nstep)
 
-mysolver.options("-ksp_type preonly")
-mysolver.options("-pc_type lu")
+mysolver.options("-ksp_type preonly -pc_type lu -pc_factor_mat_solver_type petsc")
 
 mysolver.stepBetweenArchiving(nstepArch)
 mysolver.snlManageTimeStep(25, 10, 2, 10)
@@ -172,7 +175,7 @@ mysolver.displacementBC("Volume",SMPfield,2,0.0)
 #thermal BC
 #cyclicFunctionTemp1=cycleFunctionTime(0., tinitial,ftime,tinitial);
 mysolver.initialBC("Volume","Position",SMPfield,3,tinitial)
-#mysolver.displacementBC("Volume",SMPfield,3,tinitial)
+#mysolver.displacementBC("Volume",SMPfield,3,cyclicFunctionTemp1)
 #mysolver.displacementBC("Face",SmpRef,3,cyclicFunctionTemp1)
 #mysolver.displacementBC("Face",SmpRefBottom,3,cyclicFunctionTemp1)
 
diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/hollowSMP.geo b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/hollowSMP.geo
new file mode 100644
index 0000000000000000000000000000000000000000..52a2736d5dc815169e44397c8f0b7ffce4e6e5d4
--- /dev/null
+++ b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/hollowSMP.geo
@@ -0,0 +1,53 @@
+SetFactory("OpenCASCADE");
+
+Mesh.Optimize = 1;
+
+cm = 1e-2; // Unit
+
+pp  = "Input/10Geometric dimensions/0";
+
+close_menu = 1;
+colorpp = "Ivory";
+
+// Smp
+RintSMP = 0.95*cm;
+RextSMP = 1*cm;
+H = 2*cm;
+
+DefineConstant[
+RintSMP  = {0.95*cm, Name StrCat[pp, "4Sample inner radius [m]"], Highlight Str[colorpp]}
+RextSMP  = {1*cm, Name StrCat[pp, "5Sample outer radius [m]"], Highlight Str[colorpp]}
+H     = {2*cm, Name StrCat[pp, "6Sample height [m]"], Highlight Str[colorpp]}
+];
+
+ECORE = 1000;
+SKINECORE = 11110;
+REFCORE = 11111;
+REFCOREBOTTOM = 11115;
+REFCOREPOINT = 11112;
+REFCOREOUT = 11113;
+REFCOREIN = 11114;
+
+// Smp 
+vE()+=newv; Cylinder(newv) = {0,-H/2,0, 0,H,0, RintSMP};
+vE()+=newv; Cylinder(newv) = {0,-H/2,0, 0,H,0, RextSMP};
+
+vCoreE()+=newv; BooleanDifference(newv) = { Volume{vE(1)}; Delete; }{ Volume{vE(0)}; Delete; };
+
+lc2  = RextSMP/4; // smp
+Characteristic Length { PointsOf{ Volume{vCoreE()}; } } = lc2;
+
+Recursive Color SteelBlue {Volume{vCoreE()};}
+
+Physical Volume(ECORE) = vCoreE();
+bnd_vCoreE() = CombinedBoundary{Volume{vCoreE()};};
+Physical Surface(SKINECORE) = bnd_vCoreE();
+
+Physical Surface(REFCORE)= bnd_vCoreE(1);
+Physical Surface(REFCOREBOTTOM)= bnd_vCoreE(2);
+
+Physical Surface(REFCOREOUT)= bnd_vCoreE(0);
+Physical Surface(REFCOREIN)= bnd_vCoreE(3);
+
+pts() = PointsOf {Surface { bnd_vCoreE(1) }; };
+Physical Point(REFCOREPOINT)= pts(0);
diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/run.py b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/run.py
index 20bfb0475017f4187785f8b7b88569401fc3e02a..6c76f6d869e0e4d1bc987ed8f60b4a8606de2bb9 100644
--- a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/run.py
+++ b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/run.py
@@ -42,7 +42,7 @@ for currenttime in timeSteps[0:2]:
  
   if stepIter ==0:
     # use original full domain with undeformed smp domain
-    EMmeshFile = 'undeformedSMPFullDomain.msh';
+    EMmeshFile = 'undeformedSMPFullDomain_Order2.msh';
   else:
     # use mesh generated using deformed smp from TM solver
     EMmeshFile = 'EMmergedMesh.msh';
@@ -77,7 +77,7 @@ for currenttime in timeSteps[0:2]:
   # Start TM solver      
 
   # use original undeformed smp domain
-  TMmeshFile = 'undeformedSMP.msh';
+  TMmeshFile = 'undeformedSMP_Order2.msh';
   
   # save through pickle variables to send to run the .py file
   with open('TMdatafile.txt','wb') as tm:
@@ -155,7 +155,7 @@ for currenttime in timeSteps[0:2]:
   #fop.write('\nMerge "deformed_mesh_{}.msh"; '.format(TMnstep));
   fop.close();
 
-  os.system('gmsh new_merge_mesh.geo -3 -order 1 -o EMmergedMesh.msh > merge_mesh_output_'+str(stepIter)+'.txt')
+  os.system('gmsh new_merge_mesh.geo -3 -order 2 -optimize_ho -o EMmergedMesh.msh > merge_mesh_output_'+str(stepIter)+'.txt')
   
   #if stepIter>1:
     # copy deformed mesh files to TM dir for backup
diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh
new file mode 100644
index 0000000000000000000000000000000000000000..c42ae0bbe5c5c097cf9fd79f7c0ff65bd206d6f3
--- /dev/null
+++ b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh
@@ -0,0 +1,74363 @@
+$MeshFormat
+4.1 0 8
+$EndMeshFormat
+$Entities
+29 42 22 3
+1 -2.449293598294706e-18 0.01 0.01 1 11112 
+2 -2.449293598294706e-18 -0.01 0.01 0 
+3 -2.326828918379971e-18 0.01 0.0095 0 
+4 -2.326828918379971e-18 -0.01 0.0095 0 
+5 0 0.5 0 0 
+6 0.045 0.5 0 0 
+7 -0.045 0.5 0 0 
+8 0 0.5 0.045 0 
+9 0 0.5 -0.045 0 
+10 0.075 0.5 0 0 
+11 -0.075 0.5 0 0 
+12 0 0.5 0.075 0 
+13 0 0.5 -0.075 0 
+14 0 -0.5 -0.075 0 
+15 0 -0.5 0 0 
+16 -0.075 -0.5 0 0 
+21 0 -0.5 0.075 0 
+26 0.075 -0.5 0 0 
+34 0 -0.5 -0.045 0 
+36 0.045 -0.5 0 0 
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diff --git a/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/undeformedSMP_Order2.msh b/dG3D/benchmarks/LargeDeformations_WeakCouplingEMGenericTM_SMP/undeformedSMP_Order2.msh
new file mode 100644
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+2595 338 1460 1480 1496 2724 2186 3140 3088 2056 1796 
+$EndElements
diff --git a/dG3D/benchmarks/linearEMT/LinearElecMagTherm.py b/dG3D/benchmarks/linearEMT/LinearElecMagTherm.py
index 70d5cf62c2d6aca68deec45f5a3c061c3e04539a..40082dba363af377657add74172f87f0dc1d1861 100644
--- a/dG3D/benchmarks/linearEMT/LinearElecMagTherm.py
+++ b/dG3D/benchmarks/linearEMT/LinearElecMagTherm.py
@@ -305,5 +305,5 @@ check.equal(0.000000e+00,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSm
 check.equal(-9.427355e-10,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e1)
 check.equal(9.484542e-05,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 4),1.e1)
 check.equal(-7.110362e-08,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 4),1.e-1)
-check.equal(-1.666575e-01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
+check.equal(-4.387605e-01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
 
diff --git a/dG3D/benchmarks/linearEMT_Pert/LinearElecMagTherm_Pert.py b/dG3D/benchmarks/linearEMT_Pert/LinearElecMagTherm_Pert.py
index 1a2ddacc5f97a35ea5a589ec112b0a22d0ba632a..c20117d0b8492347936ae3a2f28de2ef6af090fc 100644
--- a/dG3D/benchmarks/linearEMT_Pert/LinearElecMagTherm_Pert.py
+++ b/dG3D/benchmarks/linearEMT_Pert/LinearElecMagTherm_Pert.py
@@ -304,12 +304,12 @@ mysolver.solve()
 
 check = TestCheck()
 check.equal(0.000000e+00,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 3),1.e-5)
-check.equal(-3.617004e-08,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e-5)
+check.equal(-3.650220e-08,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e-2)
 check.equal(-3.318414e-05,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 4),1.e-5)
 check.equal(1.011629e-07,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 4),1.e-5)
-check.equal(1.937252e+01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
-check.equal(-5.770390e+01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 5),1.e-5)
-check.equal(-1.150227e+02,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 5),1.e-5)
+check.equal(2.085980e+01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 5),1.e-5)
+check.equal(-8.683505e+01,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 5),1.e-5)
+check.equal(-1.150760e+02,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfVacOut, 5),1.e-5)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,0,mysolver.displacement),1.e-3)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,1,mysolver.displacement),1.e-3)
 check.equal(0.0,mysolver.getArchivedNodalValue(SmpRefPoint,2,mysolver.displacement),1.e-3)
diff --git a/dG3D/benchmarks/nonLinearTVP_allExtraBranches_cube/cubeTVP.py b/dG3D/benchmarks/nonLinearTVP_allExtraBranches_cube/cubeTVP.py
index f6b4f958964f031502eb52dc8f688ea8392b7a68..8c32626d8a6215703f66134de6960ae739555e5a 100644
--- a/dG3D/benchmarks/nonLinearTVP_allExtraBranches_cube/cubeTVP.py
+++ b/dG3D/benchmarks/nonLinearTVP_allExtraBranches_cube/cubeTVP.py
@@ -87,21 +87,22 @@ hardent = LinearExponentialJ2IsotropicHardening(2, sy0t, ht, 5., 20.)
 # hardent.setTemperatureFunction_hexp(ShiftFactor_tempfunc)
 
 hardenk = PolynomialKinematicHardening(3,3) # 1 -> PP
+hardenk.setCoefficients(0,1.) # 300.)
 hardenk.setCoefficients(1,1.) # 300.)
 hardenk.setCoefficients(2,2.) # 200.)
-hardenk.setCoefficients(3,5.)
+# hardenk.setCoefficients(3,5.)
 
-law1 = NonLinearTVENonLinearTVPDG3DMaterialLaw(lawnum,rho,E,nu,1e-6,Tinitial,Alpha,KThCon,Cp,False,1e-8,1e-8)
+law1 = NonLinearTVENonLinearTVPDG3DMaterialLaw(lawnum,rho,E,nu,1e-6,Tinitial,Alpha,KThCon,Cp,False,1e-8,1e-6)
 
 law1.setCompressionHardening(hardenc)
 law1.setTractionHardening(hardent)
-law1.setKinematicHardening(hardenk)
+# law1.setKinematicHardening(hardenk)
 
 law1.setYieldPowerFactor(3) # 3.5)
 law1.setNonAssociatedFlow(True)
 law1.nonAssociatedFlowRuleFactor(0.64) # 0.5
 
-law1.setStrainOrder(11)
+law1.setStrainOrder(-1)
 law1.setViscoelasticMethod(0)
 law1.setShiftFactorConstantsWLF(C1,C2)
 law1.setReferenceTemperature(Tref)
@@ -130,7 +131,7 @@ a = -0.9/(90.)
 x0 = 273.15-20
 linear_tempfunc = linearScalarFunction(x0,0.9,a)
 # mullins.setTemperatureFunction_r(linear_tempfunc)
-# law1.setMullinsEffect(mullins)
+law1.setMullinsEffect(mullins)
 
 eta = constantViscosityLaw(1,1000.) #(1,3e4)
 law1.setViscosityEffect(eta,0.1)
@@ -159,7 +160,7 @@ pertFactor = 1e-8
 pertLaw1 = dG3DMaterialLawWithTangentByPerturbation(law1,pertFactor)
 ThermoMechanicsEqRatio = 1.e1 # setConstitutiveExtraDofDiffusionEqRatio(ThermoMechanicsEqRatio)
 thermalSource = True
-mecaSource = False
+mecaSource = True
 myfield1 = ThermoMechanicsDG3DDomain(1000,nfield,space1,lawnum,fullDg,ThermoMechanicsEqRatio)
 myfield1.setConstitutiveExtraDofDiffusionAccountSource(thermalSource,mecaSource)
 myfield1.stabilityParameters(beta1)
@@ -191,7 +192,7 @@ mysolver.displacementBC("Face",32,2,0.)		    # face z = 0
 # thermal BC
 mysolver.initialBC("Volume","Position",nfield,3,Tinitial)
 fT = LinearFunctionTime(0,Tinitial,ftime,Tinitial)    # Linear Displacement with time
-mysolver.displacementBC("Volume",nfield,3,fT)
+# mysolver.displacementBC("Volume",nfield,3,fT)
 
 # Field-Output
 mysolver.internalPointBuildView("strain_zz", IPField.STRAIN_ZZ, 1, nstepArch);
diff --git a/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/CMakeLists.txt b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..a0177858b739eed0c6a4bfbece73db3029b79186
--- /dev/null
+++ b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/CMakeLists.txt
@@ -0,0 +1,14 @@
+# test file
+
+set(PYFILE cubeTVP.py)
+
+set(FILES2DELETE
+  for*.csv
+  ene*.csv
+  Nod*.csv
+  disp*
+  stress*
+  IPVol*
+)
+
+add_cm3python_test(${PYFILE} "${FILES2DELETE}")
diff --git a/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cube.geo b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cube.geo
new file mode 100644
index 0000000000000000000000000000000000000000..7b69582119311ad0f199829d872fc7eb4f36c967
--- /dev/null
+++ b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cube.geo
@@ -0,0 +1,48 @@
+// Cube.geo
+mm=1.0;	// Units
+n=1;		// Number of layers (in thickness / along z)
+m = 1;		// Number of element + 1 along y
+p = 1; 		// Number of element + 1 along x
+L=1.*mm;	// Cube lenght
+sl1=L/n;
+
+// Face z = 0 (point in anti-clockwise order)
+Point(1)={0,0,0,sl1};
+Point(2)={L,0,0,sl1};
+Point(3)={L,L,0,sl1};
+Point(4)={0,L,0,sl1};
+Line(1)={1,2};
+Line(2)={2,3};
+Line(3)={3,4};
+Line(4)={4,1};
+Line Loop(5) = {3, 4, 1, 2};
+Plane Surface(6) = {5};
+
+// Cube extrusion
+Extrude {0, 0, L} {
+  Surface{6}; Layers{n}; Recombine;
+}
+
+// Physical entities
+	// Volume
+Physical Volume(29) = {1};
+	// Surface
+Physical Surface(30) = {19}; // Left face x = 0
+Physical Surface(31) = {27}; // Right face x = L
+Physical Surface(32) = {6};  // Back face z = 0
+Physical Surface(33) = {28}; // Front face z = L
+Physical Surface(34) = {15}; // Down face y = 0
+Physical Surface(35) = {23}; // Up face y = L
+
+// Mesh
+Transfinite Line {2, 4} = m Using Progression 1;
+Transfinite Line {1, 3} = p Using Progression 1;
+Transfinite Surface {6};
+Recombine Surface{6};
+
+
+// To save cube elongation
+Physical Point(41) = {1}; // Point on left face (0,0,0)
+Physical Point(42) = {4}; // Point on left face (0,L,0)
+Physical Point(43) = {2}; // Point on right face (L,0,0)
+Physical Point(44) = {3}; // Point on right face (L,L,0)
diff --git a/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cubeTVP.py b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cubeTVP.py
new file mode 100644
index 0000000000000000000000000000000000000000..5f1c45498fe691be36a7150760c31290c3b07282
--- /dev/null
+++ b/dG3D/benchmarks/nonLinearTVP_cube_Rotation_biaxialShear/cubeTVP.py
@@ -0,0 +1,290 @@
+#coding-Utf-8-*-
+
+from gmshpy import *
+# from dG3Dpy import*
+from dG3DpyDebug import*
+from math import*
+import csv
+import numpy as np
+import pandas as pd
+import os
+
+# Load the csv data for relaxation spectrum
+with open('relaxationSpectrum_Einf_N27_05_12_23_Tref20.csv', newline='') as csvfile:
+# with open('../TPU_relaxationSpectrum_Et_N64_28_03_24_Trefm30.txt', newline='') as csvfile:
+    reader = csv.reader(csvfile, delimiter=';')
+    relSpec = np.zeros((1,))
+    i = 0
+    for row in reader:
+        if i == 0:
+            relSpec[i] = float(' '.join(row))
+        else:
+            relSpec = np.append(relSpec, float(' '.join(row)))
+        i += 1
+# print(relSpec)
+N = int(0.5*(i-1))
+relSpec[0:N+1] *= 1e-6    # convert to MPa
+
+# material law
+lawnum = 11 # unique number of law
+
+E = relSpec[0] #MPa # 2700
+nu = 0.33 #0.33
+K = E/3./(1.-2.*nu)	# Bulk mudulus
+mu = E/2./(1.+nu)	  # Shear mudulus
+rho = 905e-12 # Bulk mass   905 kg/m3 -> 905e-12 tonne/mm3
+Cp = rho*1900e+6 # 1900 J/kg/K -> 1900e+6 Nmm/tonne/K
+KThCon = 0.14  # 0.14 W/m/K -> 0.14 Nmm/s/mm/K
+Alpha = 0.6e-6 # 1/K
+
+Tinitial = 273.15 + 23 # K
+C1 = 112.94742152
+C2 = 176.44294359
+
+# Temp Settings
+Tref = 273.15+20.
+
+# Default tempfuncs
+Alpha_G = 0.2e-6
+Alpha_R = 1.e-6
+KThCon_G = 0.10
+KThCon_R = 1.5*0.12
+k_gibson = 3.36435338e-02
+m_gibson = 0.0
+Tg = Tref
+Alpha_tempfunc = GlassTransitionScalarFunction(1, Alpha_R/Alpha_G, Tg, k_gibson, m_gibson, 0)
+KThCon_tempfunc = GlassTransitionScalarFunction(1, KThCon_R/KThCon_G, Tg, k_gibson, m_gibson, 0)
+
+C = 0.0228422
+sy0c = 6.02534075/0.78
+negExp_tempfunc = negativeExponentialFunction(C,Tref)
+
+a = -0.9/(90.)
+x0 = 273.15-20
+linear_tempfunc = linearScalarFunction(x0,0.9,a)
+
+hardenc = LinearExponentialJ2IsotropicHardening(1, 5., 0.01, 0.01, 30.)
+hardent = LinearExponentialJ2IsotropicHardening(2, 5., 0.01, 0.01, 30.)
+# hardenc.setTemperatureFunction_h1(linear_tempfunc)
+# hardenc.setTemperatureFunction_h2(linear_tempfunc)
+# hardenc.setTemperatureFunction_hexp(ShiftFactor_tempfunc)
+# hardent.setTemperatureFunction_h1(linear_tempfunc)
+# hardent.setTemperatureFunction_h2(linear_tempfunc)
+# hardent.setTemperatureFunction_hexp(ShiftFactor_tempfunc)
+
+hardenk = PolynomialKinematicHardening(3,3) # 1 -> PP
+hardenk.setCoefficients(0,1.) # 300.)
+hardenk.setCoefficients(1,2.) # 200.)
+hardenk.setCoefficients(2,5.)
+# hardenk.setTemperatureFunction_K(linear_tempfunc)
+
+law1 = NonLinearTVENonLinearTVP2DG3DMaterialLaw(lawnum,rho,E,nu,1e-6,Tinitial,Alpha,KThCon,Cp,False,1e-5,1e-9)
+
+law1.setCompressionHardening(hardenc)
+law1.setTractionHardening(hardent)
+# law1.setKinematicHardening(hardenk)
+
+law1.setYieldPowerFactor(1.25) # .5)
+law1.setNonAssociatedFlow(True)
+law1.nonAssociatedFlowRuleFactor(0.64) # 5)
+
+law1.setStrainOrder(-1)
+law1.setViscoelasticMethod(0)
+law1.setShiftFactorConstantsWLF(C1,C2)
+law1.setReferenceTemperature(Tref)
+
+law1.useRotationCorrectionBool(True,2) # bool, int_Scheme = 0 -> R0, 1 -> R1
+
+"""
+law1.setExtraBranchNLType(5)
+law1.useExtraBranchBool(False)
+law1.useExtraBranchBool_TVE(False,4)
+V = 1.48385807e-02
+xi = 4.86512658e+00/V**2
+iota = 2.03662889e-04/V**2
+D = 5.47347064e-02
+theta = 6.57278720e+00/D**2
+pi = 2.77066402e-03/D**2
+# law1.setVolumeCorrection(1., xi, iota, 1., theta, pi) # at 23°C
+law1.setVolumeCorrection(0.0,1000,1.5,0.0,1000.,1.5) # at 23°C
+law1.setAdditionalVolumeCorrections(0.0,1000,1.5,0.0,1000.,1.5) # NEW
+law1.setExtraBranch_CompressionParameter(1.8,0.,0.) # 1.5
+law1.setTensionCompressionRegularisation(1000.)
+
+# law1.setViscoElasticNumberOfElement(1)
+# law1.setViscoElasticData(1,1000,1.)
+# law1.setCorrectionsAllBranchesTVE(1, xi, iota, theta, pi)
+# law1.setCompressionCorrectionsAllBranchesTVE(i, 1.5)
+extraTVE = np.ones((int(0.5*(relSpec.size-1)),13)) # 3 vol + 3 dev + 1 comp
+
+# tension
+extraTVE[:,0] = (np.concatenate((np.linspace(1.0,0.25,14),np.linspace(0.25,0.05,13)))) # (np.linspace(0,0.1,N))
+extraTVE[:,1] = np.flip(np.concatenate((np.linspace(1500,15500,13),np.linspace(15500,35000,14))))
+extraTVE[:,2] = (np.concatenate((np.linspace(12.5,1.25,14),np.linspace(1.25,1.5,13))))
+extraTVE[:,3] = (np.concatenate((np.linspace(1.0,0.25,14),np.linspace(0.25,0.05,13)))) # (np.linspace(0,0.1,N))
+extraTVE[:,4] =  np.flip(np.concatenate((np.linspace(1500,15500,13),np.linspace(15500,35000,14))))
+extraTVE[:,5] = (np.concatenate((np.linspace(12.5,1.25,14),np.linspace(1.25,1.5,13))))
+extraTVE[:,6] = np.flip(np.concatenate((np.linspace(1.8,1.8,13),np.linspace(1.8,7.,14)))) # 2.2,2.8,N
+
+# compression
+extraTVE[:,7] = (np.concatenate((np.linspace(1.0,0.1,14),np.linspace(0.1,0.05,13)))) # extraTVE[:,0]
+extraTVE[:,8] = np.flip(np.concatenate((np.linspace(4500,8500,13),np.linspace(8500,35000,14)))) # extraTVE[:,1]
+extraTVE[:,9] = (np.concatenate((np.linspace(12.5,1.25,14),np.linspace(1.25,1.35,13)))) # extraTVE[:,2]
+extraTVE[:,10] = (np.concatenate((np.linspace(1.0,0.1,14),np.linspace(0.1,0.05,13)))) # extraTVE[:,3]
+extraTVE[:,11] = np.flip(np.concatenate((np.linspace(4500,8500,13),np.linspace(8500,35000,14)))) # extraTVE[:,4]
+extraTVE[:,12] = (np.concatenate((np.linspace(12.5,1.25,14),np.linspace(1.25,1.35,13)))) # extraTVE[:,5]
+extraTVE.tolist()
+"""
+
+law1.setViscoElasticNumberOfElement(N)
+if N > 0:
+    for i in range(1, N+1):
+        law1.setViscoElasticData(i, relSpec[i], relSpec[i+N])
+        # law1.setCorrectionsAllBranchesTVE(i, extraTVE[i-1,0],extraTVE[i-1,1],extraTVE[i-1,2],extraTVE[i-1,3],extraTVE[i-1,4],extraTVE[i-1,5])
+        # law1.setCompressionCorrectionsAllBranchesTVE(i, extraTVE[i-1,6])
+        # law1.setAdditionalCorrectionsAllBranchesTVE(i, extraTVE[i-1,7],extraTVE[i-1,8],extraTVE[i-1,9],extraTVE[i-1,10],extraTVE[i-1,11],extraTVE[i-1,12])
+
+law1.setTemperatureFunction_ThermalDilationCoefficient(Alpha_tempfunc)
+law1.setTemperatureFunction_ThermalConductivity(KThCon_tempfunc)
+
+mullins = linearScaler(4, 0.99)
+a = -0.9/(90.)
+x0 = 273.15-20
+linear_tempfunc = linearScalarFunction(x0,0.99,a)
+# mullins.setTemperatureFunction_r(linear_tempfunc)
+# law1.setMullinsEffect(mullins)
+
+
+eta = constantViscosityLaw(1,10000.) # 3e4) #(1,3e4)
+law1.setViscosityEffect(eta,0.21) # 0.21)
+# eta.setTemperatureFunction(negExp_tempfunc)
+# law1.setIsotropicHardeningCoefficients(1.,1.,1.)
+
+
+# solver
+sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
+soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1
+nstep = 100   # number of step (used only if soltype=1)
+# ftime = 2*np.sum(elongations[:,0])/2.78e-3 # 0.65/2.78e-3 # 4.8 4.   # Final time (used only if soltype=1)
+ftime = 50.#0.2/0.01 # 0.65/2.78e-3 # 4.8 4.   # Final time (used only if soltype=1)
+tol=1.e-5  # relative tolerance for NR scheme (used only if soltype=1)
+nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
+fullDg = 0 #O = CG, 1 = DG
+space1 = 0 # function space (Lagrange=0)
+beta1  = 100
+
+
+# geometry
+geofile = "cube.geo" # "line.geo"
+meshfile = "cube.msh" # "line.msh"
+nfield = 29
+
+
+pertLaw1 = dG3DMaterialLawWithTangentByPerturbation(law1,1e-8) # use with _pert*T0 (b/c In tangent_by_perturbation_TVP u use _pert*T0)
+ThermoMechanicsEqRatio = 1.e1 # setConstitutiveExtraDofDiffusionEqRatio(ThermoMechanicsEqRatio)
+thermalSource = True
+mecaSource = False
+myfield1 = ThermoMechanicsDG3DDomain(1000,nfield,space1,lawnum,fullDg,ThermoMechanicsEqRatio)
+myfield1.setConstitutiveExtraDofDiffusionAccountSource(thermalSource,mecaSource)
+myfield1.stabilityParameters(beta1)
+myfield1.ThermoMechanicsStabilityParameters(beta1,bool(1))
+# myfield1.strainSubstep(2, 10)
+
+# creation of Solver
+mysolver = nonLinearMechSolver(1000)
+mysolver.createModel(geofile,meshfile,3,2)
+mysolver.loadModel(meshfile)
+mysolver.addDomain(myfield1)
+mysolver.addMaterialLaw(law1)
+# mysolver.addMaterialLaw(pertLaw1)
+mysolver.Scheme(soltype)
+mysolver.Solver(sol)
+mysolver.snlData(nstep,ftime,tol)
+mysolver.stepBetweenArchiving(nstepArch)
+
+# BCs
+length = 1
+umax = 0.5*length # 0.65*length # 0.04 -> PP
+fu_L = LinearFunctionTime(0,0,ftime,umax);    # Linear Displacement with time
+
+"""
+strainRate = 1.e-2
+fu_P = PiecewiseLinearFunction()
+fu_P.put(0,0)
+fu_P.put(0.5e-2/strainRate,0.5e-2*length)
+fu_P.put(1.e-2/strainRate,0.00) # 1
+fu_P.put(2.e-2/strainRate,1.0e-2*length)
+fu_P.put(3.e-2/strainRate,0.00) # 2
+fu_P.put(5.e-2/strainRate,2.0e-2*length)
+fu_P.put(7.e-2/strainRate,0.00)
+fu_P.put(9.5e-2/strainRate,2.5e-2*length)
+fu_P.put(12.e-2/strainRate,0.00)
+fu_P.put(15.e-2/strainRate,3.0e-2*length)
+fu_P.put(18.e-2/strainRate,0.00)
+fu_P.put(21.5e-2/strainRate,3.5e-2*length)
+fu_P.put(24.e-2/strainRate,0.00)
+fu_P.put(28.e-2/strainRate,4.0e-2*length)
+"""
+
+mysolver.displacementBC("Face",30,0,0.)		        # face x = 0   - Left Face fixed
+mysolver.displacementBC("Face",30,1,0.)		        # face x = 0   - Left Face fixed
+mysolver.displacementBC("Face",30,2,0.)		        # face x = 0   - Left Face fixed
+mysolver.displacementBC("Face",31,1,fu_L)         # face x = L   - Right Face moving
+mysolver.displacementBC("Face",31,2,fu_L)         # face x = L   - Right Face moving
+# mysolver.displacementBC("Face",34,1,0.)		    # face y = 0
+# mysolver.displacementBC("Face",32,2,0.)		    # face z = 0
+
+# thermal BC
+mysolver.initialBC("Volume","Position",nfield,3,Tinitial)
+fT = LinearFunctionTime(0,Tinitial,ftime,Tinitial)    # Linear Displacement with time
+mysolver.displacementBC("Volume",nfield,3,fT)
+
+# Field-Output
+
+mysolver.internalPointBuildView("strain_zz", IPField.STRAIN_ZZ, 1, nstepArch);
+mysolver.internalPointBuildView("svm",IPField.SVM, 1, nstepArch)
+mysolver.internalPointBuildView("sig_xx",IPField.SIG_XX, 1, nstepArch)
+mysolver.internalPointBuildView("sig_yy",IPField.SIG_YY, 1, nstepArch)
+mysolver.internalPointBuildView("sig_zz",IPField.SIG_ZZ, 1, nstepArch)
+mysolver.internalPointBuildView("sig_xy",IPField.SIG_XY, 1, nstepArch)
+mysolver.internalPointBuildView("sig_yz",IPField.SIG_YZ, 1, nstepArch)
+mysolver.internalPointBuildView("sig_xz",IPField.SIG_XZ, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_xx",IPField.mandel_XX, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_yy",IPField.mandel_YY, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_zz",IPField.mandel_ZZ, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_xy",IPField.mandel_XY, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_yz",IPField.mandel_YZ, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_xz",IPField.mandel_XZ, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_yx",IPField.mandel_YX, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_zy",IPField.mandel_ZY, 1, nstepArch)
+mysolver.internalPointBuildView("mandel_zx",IPField.mandel_ZX, 1, nstepArch)
+mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, nstepArch)
+
+# Print/Archive History Outputs
+mysolver.archivingAverageValue(IPField.hyperElastic_BulkScalar)
+mysolver.archivingAverageValue(IPField.hyperElastic_ShearScalar)
+mysolver.archivingAverageValue(IPField.mandel_XX)
+mysolver.archivingAverageValue(IPField.mandel_YY)
+mysolver.archivingAverageValue(IPField.mandel_ZZ)
+mysolver.archivingAverageValue(IPField.mandel_XY)
+mysolver.archivingAverageValue(IPField.mandel_XZ)
+mysolver.archivingAverageValue(IPField.mandel_YZ)
+mysolver.archivingAverageValue(IPField.mandel_YX)
+mysolver.archivingAverageValue(IPField.mandel_ZX)
+mysolver.archivingAverageValue(IPField.mandel_ZY)
+mysolver.archivingAverageValue(IPField.mandelCommuteChecker)
+
+# mysolver.archivingForceOnPhysicalGroup("Face", 31, 0, nstepArch)  # Force on the right force
+mysolver.archivingForceOnPhysicalGroup("Face", 30, 0, nstepArch)  # Force on the left face  === Reaction Force
+mysolver.archivingForceOnPhysicalGroup("Face", 30, 1, nstepArch)  # Force on the left face  === Reaction Force
+mysolver.archivingForceOnPhysicalGroup("Face", 30, 2, nstepArch)  # Force on the left face  === Reaction Force
+# mysolver.archivingForceOnPhysicalGroup("Node", 41, 0, nstepArch)  # Force on a point on the left face === Reaction Force
+mysolver.archivingNodeDisplacement(43, 0, nstepArch)              # Displacement of a point on the right face
+mysolver.archivingIPOnPhysicalGroup("Volume",nfield, IPField.PLASTICSTRAIN,IPField.MEAN_VALUE);
+
+# Solve
+mysolver.solve()
+
+# check = TestCheck()
+# check.equal(-2.323842427279116e-05,mysolver.getArchivedForceOnPhysicalGroup("Face", 30, 0),1.e-4) # TVM without mechSrc
+# check.equal(-1.512641578252656e-05,mysolver.getArchivedForceOnPhysicalGroup("Face", 30, 0),1.e-4) # sy = 1.e-5, without mechSrc
diff --git a/dG3D/benchmarks/nonLocalJ2-BFGS/CMakeLists.txt b/dG3D/benchmarks/nonLocalJ2-BFGS/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..d01de55d41539fb350016db06e5d840c2b9a213a
--- /dev/null
+++ b/dG3D/benchmarks/nonLocalJ2-BFGS/CMakeLists.txt
@@ -0,0 +1,11 @@
+# test file
+
+set(PYFILE twoHole.py)
+
+set(FILES2DELETE 
+  *.csv
+  disp*
+  stress*
+)
+
+add_cm3python_mpi_test(3 ${PYFILE} "${FILES2DELETE}")
diff --git a/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.geo b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.geo
new file mode 100644
index 0000000000000000000000000000000000000000..43d71cc5f4f1b364378e71856ae7ee05c8ca5c1e
--- /dev/null
+++ b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.geo
@@ -0,0 +1,67 @@
+
+mm=1.0e-3;
+n=1;
+L=10*mm;
+sl1=0.7*L/n;
+Lx = 2*L;
+Ly = 4*L;
+Point(1)={0,0,0,sl1};
+Point(2)={Lx,0,0,sl1};
+Point(3)={Lx,Ly,0,sl1};
+Point(4)={0,Ly,0,sl1};
+Line(1)={1,2};
+Line(2)={2,3};
+Line(3)={3,4};
+Line(4)={4,1};
+x0=0.5*Lx/n; y0=0.5*Ly/n; r=0.2*L/n; 
+
+x=0.3*Lx;
+y=0.4*Ly;
+r = 0.2*L;
+sl2=0.7*sl1;
+p1=newp; Point(p1)={x-r,y,0,sl2};
+p2=newp; Point(p2)={x,y+r,0,sl2};
+p3=newp; Point(p3)={x+r,y,0,sl2};
+p4=newp; Point(p4)={x,y-r,0,sl2};
+pc=newp; Point(pc)={x,y,0,sl2};
+c1 = newreg; Circle(c1) = {p1,pc,p2};
+c2 = newreg; Circle(c2) = {p2,pc,p3};
+c3 = newreg; Circle(c3) = {p3,pc,p4};
+c4 = newreg; Circle(c4) = {p4,pc,p1};
+l[1]=newreg; Line Loop(l[1]) = {c1,c2,c3,c4}; 
+
+
+x=0.7*Lx;
+y=0.6*Ly;
+r = 0.2*L;
+sl2=0.7*sl1;
+p1=newp; Point(p1)={x-r,y,0,sl2};
+p2=newp; Point(p2)={x,y+r,0,sl2};
+p3=newp; Point(p3)={x+r,y,0,sl2};
+p4=newp; Point(p4)={x,y-r,0,sl2};
+pc=newp; Point(pc)={x,y,0,sl2};
+c1 = newreg; Circle(c1) = {p1,pc,p2};
+c2 = newreg; Circle(c2) = {p2,pc,p3};
+c3 = newreg; Circle(c3) = {p3,pc,p4};
+c4 = newreg; Circle(c4) = {p4,pc,p1};
+l[2]=newreg; Line Loop(l[2]) = {c1,c2,c3,c4}; 
+
+
+l[0]=newreg;
+Line Loop(l[0])={1,2,3,4};
+Plane Surface(11)={l[]};
+
+Physical Point(19) = {4};
+Physical Point(20) = {1};
+//+
+Extrude {0, 0, 1e-3} {
+  Surface{11}; Layers{1};
+}
+//+
+Physical Volume(11) = {1};
+//+
+Physical Surface(12) = {37};
+//+
+Physical Surface(13) = {45};
+//+
+Physical Surface(14) = {49};
diff --git a/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.msh b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.msh
new file mode 100644
index 0000000000000000000000000000000000000000..26ea767204fdfff47f05eff3785bd5b70846784c
--- /dev/null
+++ b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.msh
@@ -0,0 +1,3376 @@
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diff --git a/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.py b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.py
new file mode 100644
index 0000000000000000000000000000000000000000..473790c2daef12247924c501a44a76b9ea58abaa
--- /dev/null
+++ b/dG3D/benchmarks/nonLocalJ2-BFGS/twoHole.py
@@ -0,0 +1,101 @@
+#coding-Utf-8-*-
+from gmshpy import *
+from dG3Dpy import*
+
+#script to launch beam problem with a python script
+
+# material law
+lawnum = 1 # unique number of law
+rho   = 7850
+young = 28.9e9
+nu    = 0.3 
+sy0   = 150e6
+h     = 73e6
+hexp  = 60.
+
+
+# geometry
+geofile="twoHole.geo"
+meshfile="twoHole.msh" # name of mesh file
+
+# solver
+sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
+soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1
+nstep = 100   # number of step (used only if soltype=1)
+ftime =1.   # Final time (used only if soltype=1)
+tol=1.e-5   # relative tolerance for NR scheme (used only if soltype=1)
+nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
+fullDg = 1 #O = CG, 1 = DG
+space1 = 0 # function space (Lagrange=0)
+beta1  = 20
+
+#lemaitre chaboche
+alpha = 1.e5
+n     = 0.5           
+p0    = 0.00
+pc    = 10       
+  
+
+#  compute solution and BC (given directly to the solver
+harden = ExponentialJ2IsotropicHardening(1,sy0, h, hexp)
+cl     = IsotropicCLengthLaw(1, 2e-6)
+damlaw = LemaitreChabocheDamageLaw(1, p0, pc, n, alpha)
+law1   = NonLocalDamageJ2HyperDG3DMaterialLaw(lawnum,rho,young,nu,harden,cl,damlaw)
+
+# cohesive law
+
+
+# creation of ElasticField
+nfield = 11 # number of the field (physical number of surface)
+myfield1 = dG3DDomain(1000,nfield,space1,lawnum,fullDg,3,1)
+#myfield1.matrixByPerturbation(1,1,1,1e-8)
+myfield1.stabilityParameters(beta1)
+myfield1.setNonLocalStabilityParameters(beta1,True)
+myfield1.setNonLocalEqRatio(1.e6)
+myfield1.averageStrainBased(True)
+
+# creation of Solver
+mysolver = nonLinearMechSolver(1000)
+#mysolver.createModel(geofile,meshfile,3,2)
+mysolver.loadModel(meshfile)
+mysolver.addDomain(myfield1)
+mysolver.addMaterialLaw(law1)
+mysolver.Scheme(soltype)
+mysolver.Solver(sol)
+mysolver.snlData(nstep,ftime,tol)
+mysolver.stepBetweenArchiving(nstepArch)
+
+mysolver.snlManageTimeStep(150,5,2.,500)
+stiffModif = BFGSStiffnessModificationMonitoring(20, True) # stiffness will be re-computed after 20 iterations in each step
+mysolver.stiffnessModification(stiffModif)
+
+# BC
+
+mysolver.displacementBC("Volume",11,2,0.)
+mysolver.displacementBC("Face",14,0,0.)
+mysolver.displacementBC("Face",12,1,0.)
+mysolver.displacementBC("Face",13,1,1e-3)
+
+
+mysolver.internalPointBuildView("eq strain",IPField.GL_EQUIVALENT_STRAIN, 1, 1)
+mysolver.internalPointBuildView("svm",IPField.SVM, 1, 1)
+mysolver.internalPointBuildView("sig_xx",IPField.SIG_XX, 1, 1)
+mysolver.internalPointBuildView("sig_yy",IPField.SIG_YY, 1, 1)
+mysolver.internalPointBuildView("sig_zz",IPField.SIG_ZZ, 1, 1)
+mysolver.internalPointBuildView("sig_xy",IPField.SIG_XY, 1, 1)
+mysolver.internalPointBuildView("sig_yz",IPField.SIG_YZ, 1, 1)
+mysolver.internalPointBuildView("sig_xz",IPField.SIG_XZ, 1, 1)
+mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
+mysolver.internalPointBuildView("Damage",IPField.DAMAGE, 1, 1)
+
+mysolver.archivingForceOnPhysicalGroup("Face", 12, 1)
+mysolver.archivingNodeDisplacement(19,1,1)
+mysolver.archivingMeshVertexDisplacement(168,1,1)
+mysolver.archivingNodeDisplacementOnPhysical(1,14,1,1)
+
+mysolver.solve()
+
+check = TestCheck()
+check.equal(-2.785275e+03,mysolver.getArchivedForceOnPhysicalGroup("Face", 12, 1),1.e-4)
+
+
diff --git a/dG3D/benchmarks/powerYieldViscoElastic/cylinder.py b/dG3D/benchmarks/powerYieldViscoElastic/cylinder.py
index 1088ad721c29b5d226a3b4f71a80ab34a7e82bcf..d24ee5c541df765a902f7900f5022f01613fbf15 100644
--- a/dG3D/benchmarks/powerYieldViscoElastic/cylinder.py
+++ b/dG3D/benchmarks/powerYieldViscoElastic/cylinder.py
@@ -10,23 +10,11 @@ from math import*
 # material law
 lawnum = 11 # unique number of law
 
-E = 1410. #MPa 1e-10*
+E = 1410. #MPa 
 nu = 0.4
 K = E/3./(1.-2.*nu)	# Bulk mudulus
 mu =E/2./(1.+nu)	  # Shear mudulus
 rho = 7850e-9 # Bulk mass
-Cp = rho*1900e+6 # 1900 J/kg/K -> 1900e+6 Nmm/tonne/K
-KThCon = 0.14  # 0.14 W/m/K -> 0.14 Nmm/s/mm/K
-Alpha = 0.6e-6 # 1/K
-
-Tinitial = 273.15 + 20 # K
-C1 = 0. # 112.94742152
-C2 = 0. # 176.44294359
-
-# Temp Settings
-Tref = 273.15+20.
-
-# law1 = NonLinearTVMDG3DMaterialLaw(lawnum,rho,E,nu,Tinitial,Alpha,KThCon,Cp)
 
 law1   = HyperViscoElasticDG3DMaterialLaw(lawnum,rho,E,nu,False,1e-8)
 law1.setStrainOrder(11)
@@ -34,7 +22,7 @@ law1.setStrainOrder(11)
 law1.setViscoelasticMethod(0)
 N = 3;
 law1.setViscoElasticNumberOfElement(N)
-law1.setViscoElasticData(1,1000.,100.)
+law1.setViscoElasticData(1,700.,250.)
 law1.setViscoElasticData(2,240,40)
 law1.setViscoElasticData(3,130,2)
 
@@ -54,8 +42,8 @@ myfield1.stabilityParameters(beta1)
 # solver
 sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
 soltype =1 # StaticLinear=0 (default) StaticNonLinear=1
-nstep = 100  # number of step (used only if soltype=1)
-ftime = 4 # 1.e3   # Final time (used only if soltype=1)
+nstep = 200  # number of step (used only if soltype=1)
+ftime = 1.e3   # Final time (used only if soltype=1)
 tol=1.e-8  # relative tolerance for NR scheme (used only if soltype=1)
 nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
 
@@ -84,13 +72,7 @@ fct.put(0.5*ftime,0.)
 fct.put(0.75*ftime,1.)
 fct.put(ftime,0.)
 
-umax = 0.04*1.e+0
-fu_L = LinearFunctionTime(0,0,ftime,umax);
-
-mysolver.displacementBC('Face',2,2,fu_L)
-
-# thermal BC
-# mysolver.initialBC("Volume","Position",nfield,3,Tinitial)
+mysolver.displacementBC('Face',2,2,fct)
 
 # build view
 mysolver.internalPointBuildView("Strain_xx",IPField.STRAIN_XX, 1, 1);
diff --git a/dG3D/benchmarks/powerYieldViscoElastoPlastic/cylinder.msh b/dG3D/benchmarks/powerYieldViscoElastoPlastic/cylinder.msh
index b0d6ad7b747dba6adae54a969c9d6bec368bce8f..09d89e4b0a67347beacc0e2483ee74663da474be 100644
--- a/dG3D/benchmarks/powerYieldViscoElastoPlastic/cylinder.msh
+++ b/dG3D/benchmarks/powerYieldViscoElastoPlastic/cylinder.msh
@@ -42,7 +42,7 @@ $Nodes
 13 2.296100600555804 5.543277192431141 0 0
 14 3.652568583266842 4.760120034676862 0 0
 15 4.760120048986037 3.652568564618763 0 0
-16 5.543277197488509 2.296100588346238 0 0
+16 5.543277197488512 2.296100588346232 0 0
 17 5.948669168522611 0.783157151195411 0 0
 18 0 4.500000000005166 0 0
 19 0 3.000000000008336 0 0
@@ -67,7 +67,7 @@ $Nodes
 38 2.296100600555804 5.543277192431141 6 0
 39 3.652568583266842 4.760120034676862 6 0
 40 4.760120048986037 3.652568564618763 6 0
-41 5.543277197488509 2.296100588346238 6 0
+41 5.543277197488512 2.296100588346232 6 0
 42 5.948669168522611 0.783157151195411 6 0
 43 4.499999999994237 0 6 0
 44 2.999999999988567 0 6 0
@@ -178,31 +178,31 @@ $Nodes
 149 5.795554958944408 1.552914266099346 3.6 0
 150 5.795554958944408 1.552914266099346 4.800000000000001 0
 151 0.7831571644793788 5.948669166773743 0.6000000000000079 0
-152 1.552914274817983 5.795554956608258 0.6000000000000001 0
-153 0.7831571554772518 5.948669167958895 1.2 0
-154 0.7831571554772518 5.948669167958895 1.8 0
-155 1.552914274817974 5.79555495660826 1.8 0
-156 0.7831571554772518 5.948669167958895 2.4 0
-157 0.7831571554772518 5.948669167958895 3 0
-158 1.552914274817974 5.79555495660826 3 0
-159 0.7831571554772518 5.948669167958895 3.6 0
-160 0.7831571554772518 5.948669167958895 4.199999999999999 0
-161 1.552914274817974 5.79555495660826 4.2 0
-162 0.7831571554772518 5.948669167958895 4.800000000000001 0
-163 0.7831571554772518 5.948669167958895 5.4 0
-164 1.552914274817982 5.795554956608258 5.4 0
-165 2.296100600342287 5.543277192519582 0.6000000000000001 0
+152 1.552914274817997 5.795554956608253 0.6000000000000001 0
+153 0.7831571554772612 5.948669167958894 1.2 0
+154 0.7831571554772612 5.948669167958894 1.8 0
+155 1.552914274818002 5.795554956608252 1.8 0
+156 0.7831571554772612 5.948669167958894 2.4 0
+157 0.7831571554772612 5.948669167958894 3 0
+158 1.552914274818002 5.795554956608252 3 0
+159 0.7831571554772612 5.948669167958894 3.6 0
+160 0.7831571554772612 5.948669167958894 4.199999999999999 0
+161 1.552914274818002 5.795554956608252 4.2 0
+162 0.7831571554772612 5.948669167958894 4.800000000000001 0
+163 0.7831571554772612 5.948669167958894 5.4 0
+164 1.552914274817997 5.795554956608253 5.4 0
+165 2.2961006003423 5.543277192519577 0.6000000000000001 0
 166 3.000000007764873 5.19615241822358 0.6000000000000001 0
-167 2.296100600342287 5.543277192519582 1.2 0
-168 2.296100600342287 5.543277192519582 1.8 0
+167 2.2961006003423 5.543277192519577 1.2 0
+168 2.2961006003423 5.543277192519577 1.8 0
 169 3.000000007764873 5.19615241822358 1.8 0
-170 2.296100600342287 5.543277192519582 2.4 0
-171 2.296100600342287 5.543277192519582 3 0
+170 2.2961006003423 5.543277192519577 2.4 0
+171 2.2961006003423 5.543277192519577 3 0
 172 3.000000007764873 5.19615241822358 3 0
-173 2.296100600342287 5.543277192519582 3.6 0
-174 2.296100600342287 5.543277192519582 4.2 0
+173 2.2961006003423 5.543277192519577 3.6 0
+174 2.2961006003423 5.543277192519577 4.2 0
 175 3.000000007764873 5.19615241822358 4.2 0
-176 2.296100600342287 5.543277192519582 4.800000000000001 0
+176 2.2961006003423 5.543277192519577 4.800000000000001 0
 177 2.296100600342296 5.543277192519579 5.4 0
 178 3.000000007764873 5.19615241822358 5.4 0
 179 3.652568583207426 4.760120034722454 0.6000000000000001 0
diff --git a/dG3D/benchmarks/shiftMultiSystem/fullPlateHoleRes.py b/dG3D/benchmarks/shiftMultiSystem/fullPlateHoleRes.py
index 747fe7cf332b2a16ff7d5f84d48d9e900174a6d1..c4ba6b86da60270c11d9ce494b90876dc15a063e 100644
--- a/dG3D/benchmarks/shiftMultiSystem/fullPlateHoleRes.py
+++ b/dG3D/benchmarks/shiftMultiSystem/fullPlateHoleRes.py
@@ -268,7 +268,7 @@ check.equal(6.859167e+03,mysolver.getArchivedForceOnPhysicalGroup("Face", 102, 0
 
 data21 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force2 = list(data21)
-check.equal(1.236021e+03,float(force2[-1][1]),1e-5)
+check.equal(1.236036e+03,float(force2[-1][1]),1e-5)
 
 
 #mysolver.disableResetRestart() #only battery: the second solve mimics a restart
diff --git a/dG3D/benchmarks/shiftMultiSystem/run.py b/dG3D/benchmarks/shiftMultiSystem/run.py
index 53aad202a6939ead089e841362ccea8195ecbb4a..6dacdbf01a2e3435eccc5ab55f318a404492364a 100644
--- a/dG3D/benchmarks/shiftMultiSystem/run.py
+++ b/dG3D/benchmarks/shiftMultiSystem/run.py
@@ -13,7 +13,7 @@ else:
 
 data1 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force = list(data1)
-checkEqual(1.235198e+03,float(force[-1][1]),1e-5)
+checkEqual(1236.035711632679,float(force[-1][1]),1e-5)
 
 if sys.version_info[0] < 3:
   os.system('mpiexec -np 4 python fullPlateHoleRes.py')
@@ -22,5 +22,5 @@ else:
 
 data21 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force2 = list(data21)
-checkEqual(1.236021e+03,float(force2[-1][1]),1e-5)
+checkEqual(1236.035711633483,float(force2[-1][1]),1e-5)
 
diff --git a/dG3D/benchmarks/shiftNonLocalExplicit/fullPlateHoleRes.py b/dG3D/benchmarks/shiftNonLocalExplicit/fullPlateHoleRes.py
index d40b92c458819d1864b80ec10ca94e89615e178f..1862358df78fc6ff65aa32d912f7885ab371b2b5 100644
--- a/dG3D/benchmarks/shiftNonLocalExplicit/fullPlateHoleRes.py
+++ b/dG3D/benchmarks/shiftNonLocalExplicit/fullPlateHoleRes.py
@@ -162,7 +162,7 @@ mysolver.addMaterialLaw(lawInter)
 mysolver.Scheme(soltype)
 mysolver.Solver(sol)
 #mysolver.lineSearch(1)
-mysolver.snlData(nstepImpl,ftime,tol,absTol)
+#mysolver.snlData(nstepImpl,ftime,tol,absTol)
 #mysolver.explicitSpectralRadius(ftime,0.5,0.)
 #mysolver.explicitTimeStepEvaluation(nstepExpl)
 
@@ -281,7 +281,7 @@ check.equal(6.859167e+03,mysolver.getArchivedForceOnPhysicalGroup("Face", 102, 0
 
 data21 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force2 = list(data21)
-check.equal(1.236504e+03,float(force2[-1][1]),1e-5)
+check.equal(1.235179e+03,float(force2[-1][1]),1e-5)
 
 
 #mysolver.disableResetRestart() #only battery: the second solve mimics a restart
diff --git a/dG3D/benchmarks/shiftNonLocalExplicit/run.py b/dG3D/benchmarks/shiftNonLocalExplicit/run.py
index 0aade8424b5971ec3f51f04f14adf868d066c066..552d6110e8f61afd3e82e420cc782cde41c97dc3 100644
--- a/dG3D/benchmarks/shiftNonLocalExplicit/run.py
+++ b/dG3D/benchmarks/shiftNonLocalExplicit/run.py
@@ -13,7 +13,7 @@ else:
 
 data1 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force = list(data1)
-checkEqual(1236.485440914417,float(force[-1][1]),1e-5)
+checkEqual(1235.178839997943,float(force[-1][1]),1e-5)
 
 if sys.version_info[0] < 3:
   os.system('mpiexec -np 4 python fullPlateHoleRes.py')
@@ -22,5 +22,5 @@ else:
 
 data21 = csv.reader(open('force102comp0_part2.csv'), delimiter=';')
 force2 = list(data21)
-checkEqual(1236.503852954848,float(force2[-1][1]),1e-5)
+checkEqual(1235.178839997943,float(force2[-1][1]),1e-5)
 
diff --git a/dG3D/benchmarks/smpPhenomenological_Mech/SMP_mech.py b/dG3D/benchmarks/smpPhenomenological_Mech/SMP_mech.py
index c186e3f64f7cedd2e555131ad5d704f1df1e10dd..b8ab5664722dd9c31628144b7e2b55c34c708b06 100644
--- a/dG3D/benchmarks/smpPhenomenological_Mech/SMP_mech.py
+++ b/dG3D/benchmarks/smpPhenomenological_Mech/SMP_mech.py
@@ -42,8 +42,8 @@ crystallizationRate.put(0.,20.)
 crystallizationRate.put(0.1,0)
 crystallizationRate.put(1.,0.)
   
-cg	= 2.02*rho #1974210.		
-cr	= 2.02*rho #1744200.
+cg	= 2020.*rho #1974210.		
+cr	= 2020.*rho #1744200.
 Kxg=Kyg=Kzg=Kxr=Kyr=Kzr	= 0.22					  
 TaylorQuineyG=TaylorQuineyR=TaylorQuineyAM= 1.		# fraction of plastic energy converted to thermal energy	
 
diff --git a/dG3D/benchmarks/smpPhenomenological_Thermo/SMP_thermo.py b/dG3D/benchmarks/smpPhenomenological_Thermo/SMP_thermo.py
index 0718c03a4463048a4e80f7a4b2a7fb56af17a6a9..49ea91beedc3678430647f3bf8e4a55408f20aea 100644
--- a/dG3D/benchmarks/smpPhenomenological_Thermo/SMP_thermo.py
+++ b/dG3D/benchmarks/smpPhenomenological_Thermo/SMP_thermo.py
@@ -41,8 +41,8 @@ crystallizationRate.put(0.,20.)
 crystallizationRate.put(0.1,0)
 crystallizationRate.put(1.,0.)
   
-cg	= 2.02*rho #1974210.		
-cr	= 2.02*rho #1744200.
+cg	= 2020.*rho #1974210.		
+cr	= 2020.*rho #1744200.
 Kxg=Kyg=Kzg=Kxr=Kyr=Kzr	= 0.22					  
 TaylorQuineyG=TaylorQuineyR=TaylorQuineyAM= 1.		# fraction of plastic energy converted to thermal energy	
 
@@ -484,7 +484,7 @@ mysolver.solve()
 
 
 check = TestCheck()
-check.equal(-6.735784e-01,mysolver.getArchivedForceOnPhysicalGroup("Face", 5678, 3),1.e-6)
-check.equal(8.380272e+02,mysolver.getArchivedNodalValue(1,3,mysolver.displacement),1.e-6)
-check.equal(1.606705e-04,mysolver.getArchivedNodalValue(7,0,mysolver.displacement),1.e-6)
+check.equal(-5.000108e-01,mysolver.getArchivedForceOnPhysicalGroup("Face", 5678, 3),1.e-6)
+check.equal(2.645715e+02,mysolver.getArchivedNodalValue(1,3,mysolver.displacement),1.e-6)
+check.equal(1.079347e-08,mysolver.getArchivedNodalValue(7,0,mysolver.displacement),1.e-6)
 
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/2a.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/2a.py
old mode 100644
new mode 100755
index 8f2b1f0db3a8e3a8ee483534ac61caa4cddbff5c..5a877155d9189a8a36b7d2f9d4d3304bb9a7ea2f
--- a/dG3D/benchmarks/steinmann_ETM_Benchmarks/2a.py
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/2a.py
@@ -35,42 +35,42 @@ p6 = df1.iloc[:, 11]
 gholapDataFolderName = 'gholap_data'
 
 # no EM fields (pure TM simulation)
-gholapFileName2 = 'Gholap_2a_z_15_E_0_temp_293_compression.csv'
+gholapFileName2 = 'pureRadialStretchCompression_zeta_15_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
 df2 = pd.read_csv(gholapFileName2,sep=';')
 timeStep2 = df2.iloc[:, 0]
 radial_Stretch2 = df2.iloc[:, 1]
 pressure2 = df2.iloc[:, 2]
 
-gholapFileName3 = 'Gholap_2a_z_20_E_0_temp_293_compression.csv'
+gholapFileName3 = 'pureRadialStretchCompression_zeta_20_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
 df3 = pd.read_csv(gholapFileName3,sep=';')
 timeStep3 = df3.iloc[:, 0]
 radial_Stretch3 = df3.iloc[:, 1]
 pressure3 = df3.iloc[:, 2]
 
-gholapFileName4 = 'Gholap_2a_z_25_E_0_temp_293_compression.csv'
+gholapFileName4 = 'pureRadialStretchCompression_zeta_25_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
 df4 = pd.read_csv(gholapFileName4,sep=';')
 timeStep4 = df4.iloc[:, 0]
 radial_Stretch4 = df4.iloc[:, 1]
 pressure4 = df4.iloc[:, 2]
 
-gholapFileName5 = 'Gholap_2a_z_15_E_0_temp_293_inflation.csv'
+gholapFileName5 = 'pureRadialStretch_zeta_15_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
 df5 = pd.read_csv(gholapFileName5,sep=';')
 timeStep5 = df5.iloc[:, 0]
 radial_Stretch5 = df5.iloc[:, 1]
 pressure5 = df5.iloc[:, 2]
 
-gholapFileName6 = 'Gholap_2a_z_20_E_0_temp_293_inflation.csv'
+gholapFileName6 = 'pureRadialStretch_zeta_20_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
 df6 = pd.read_csv(gholapFileName6,sep=';')
 timeStep6 = df6.iloc[:, 0]
 radial_Stretch6 = df6.iloc[:, 1]
 pressure6 = df6.iloc[:, 2]
 
-gholapFileName7 = 'Gholap_2a_z_25_E_0_temp_293_inflation.csv'
+gholapFileName7 = 'pureRadialStretch_zeta_25_E_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
 df7 = pd.read_csv(gholapFileName7,sep=';')
 timeStep7 = df7.iloc[:, 0]
@@ -78,42 +78,42 @@ radial_Stretch7 = df7.iloc[:, 1]
 pressure7 = df7.iloc[:, 2]
 
 # with EM field-dependent shear modulus test results
-gholapFileName8 = 'Gholap_2a_z_15_E_100000_temp_293_compression.csv'
+gholapFileName8 = 'pureRadialStretchCompression_zeta_15_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
 df8 = pd.read_csv(gholapFileName8,sep=';')
 timeStep8 = df8.iloc[:, 0]
 radial_Stretch8 = df8.iloc[:, 1]
 pressure8 = df8.iloc[:, 2]
 
-gholapFileName9= 'Gholap_2a_z_20_E_100000_temp_293_compression.csv'
+gholapFileName9= 'pureRadialStretchCompression_zeta_20_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
 df9 = pd.read_csv(gholapFileName9,sep=';')
 timeStep9 = df9.iloc[:, 0]
 radial_Stretch9 = df9.iloc[:, 1]
 pressure9 = df9.iloc[:, 2]
 
-gholapFileName10 = 'Gholap_2a_z_25_E_100000_temp_293_compression.csv'
+gholapFileName10 = 'pureRadialStretchCompression_zeta_25_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
 df10 = pd.read_csv(gholapFileName10,sep=';')
 timeStep10 = df10.iloc[:, 0]
 radial_Stretch10 = df10.iloc[:, 1]
 pressure10 = df10.iloc[:, 2]
 
-gholapFileName11 = 'Gholap_2a_z_15_E_100000_temp_293_inflation.csv'
+gholapFileName11 = 'pureRadialStretch_zeta_15_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
 df11 = pd.read_csv(gholapFileName11,sep=';')
 timeStep11 = df11.iloc[:, 0]
 radial_Stretch11 = df11.iloc[:, 1]
 pressure11 = df11.iloc[:, 2]
 
-gholapFileName12 = 'Gholap_2a_z_20_E_100000_temp_293_inflation.csv'
+gholapFileName12 = 'pureRadialStretch_zeta_20_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
 df12 = pd.read_csv(gholapFileName12,sep=';')
 timeStep12 = df12.iloc[:, 0]
 radial_Stretch12 = df12.iloc[:, 1]
 pressure12 = df12.iloc[:, 2]
 
-gholapFileName13 = 'Gholap_2a_z_25_E_100000_temp_293_inflation.csv'
+gholapFileName13 = 'pureRadialStretch_zeta_25_E_100000_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
 df13 = pd.read_csv(gholapFileName13,sep=';')
 timeStep13 = df13.iloc[:, 0]
@@ -160,14 +160,14 @@ ax2 = plt.gca()
 
 ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
 ax2.set_ylabel(u"P [kPa]", fontsize=16)
-ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
 
 ratio = 1
 xleft, xright = ax2.get_xlim()
 ybottom, ytop = ax2.get_ylim()
 # ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
 
-ax2.text(2.0, -150, "$\lambda_z = 1$", size=16)
+ax2.text(1.8, -150, "$\lambda_z = 1$", size=16)
 
 ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
 # ax2.grid(linestyle='--', linewidth=.3)
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/2b.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/2b.py
new file mode 100755
index 0000000000000000000000000000000000000000..929fed94880ed845155d962b6c0e71c26c35c8ab
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/2b.py
@@ -0,0 +1,265 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '2b.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2016 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = 2.0 # values from Mehnert for 2b always at lambda_i = 2
+# data for tests with no EM fields (E=0)
+p1 = df1.iloc[0, 1] # zeta=1.5, lambda_z = 0.5
+p2 = df1.iloc[0, 3] # zeta=2, lambda_z = 0.5
+p3 = df1.iloc[0, 5] # zeta=2.5, lambda_z = 0.5
+p4 = df1.iloc[4, 1] # zeta=1.5, lambda_z = 1.5
+p5 = df1.iloc[4, 3] # zeta=2, lambda_z = 1.5
+p6 = df1.iloc[4, 5] # zeta=2.5, lambda_z = 1.5
+p7 = df1.iloc[6, 1] # zeta=1.5, lambda_z = 2.
+p8 = df1.iloc[6, 3] # zeta=2, lambda_z = 2.
+p9 = df1.iloc[6, 5] # zeta=2.5, lambda_z = 2.
+# data for tests with EM fields (E=100)
+p10 = df1.iloc[0, 7] # zeta=1.5, lambda_z = 0.5
+p11 = df1.iloc[0, 9] # zeta=2, lambda_z = 0.5
+p12 = df1.iloc[0, 11] # zeta=2.5, lambda_z = 0.5
+p13 = df1.iloc[4, 7] # zeta=1.5, lambda_z = 1.5
+p14 = df1.iloc[4, 9] # zeta=2, lambda_z = 1.5
+p15 = df1.iloc[4, 11] # zeta=2.5, lambda_z = 1.5
+p16 = df1.iloc[6, 7] # zeta=1.5, lambda_z = 2.
+p17 = df1.iloc[6, 9] # zeta=2, lambda_z = 2.
+p18 = df1.iloc[6, 11] # zeta=2.5, lambda_z = 2.
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName2 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+gholapFileName4 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+gholapFileName7 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+
+gholapFileName8 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+
+gholapFileName9 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+
+gholapFileName10 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName11 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+df11 = pd.read_csv(gholapFileName11,sep=';')
+timeStep11 = df11.iloc[:, 0]
+radial_Stretch11 = df11.iloc[:, 1]
+pressure11 = df11.iloc[:, 2]
+
+gholapFileName12 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+df12 = pd.read_csv(gholapFileName12,sep=';')
+timeStep12 = df12.iloc[:, 0]
+radial_Stretch12 = df12.iloc[:, 1]
+pressure12 = df12.iloc[:, 2]
+
+gholapFileName13 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+df13 = pd.read_csv(gholapFileName13,sep=';')
+timeStep13 = df13.iloc[:, 0]
+radial_Stretch13 = df13.iloc[:, 1]
+pressure13 = df13.iloc[:, 2]
+
+gholapFileName14 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+df14 = pd.read_csv(gholapFileName14,sep=';')
+timeStep14 = df14.iloc[:, 0]
+radial_Stretch14 = df14.iloc[:, 1]
+pressure14 = df14.iloc[:, 2]
+
+gholapFileName15 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+df15 = pd.read_csv(gholapFileName15,sep=';')
+timeStep15 = df15.iloc[:, 0]
+radial_Stretch15 = df15.iloc[:, 1]
+pressure15 = df15.iloc[:, 2]
+
+gholapFileName16 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
+df16 = pd.read_csv(gholapFileName16,sep=';')
+timeStep16 = df16.iloc[:, 0]
+radial_Stretch16 = df16.iloc[:, 1]
+pressure16 = df16.iloc[:, 2]
+
+gholapFileName17 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+df17 = pd.read_csv(gholapFileName17,sep=';')
+timeStep17 = df17.iloc[:, 0]
+radial_Stretch17 = df17.iloc[:, 1]
+pressure17 = df17.iloc[:, 2]
+
+gholapFileName18 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+df18 = pd.read_csv(gholapFileName18,sep=';')
+timeStep18 = df18.iloc[:, 0]
+radial_Stretch18 = df18.iloc[:, 1]
+pressure18 = df18.iloc[:, 2]
+
+gholapFileName19 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+df19 = pd.read_csv(gholapFileName19,sep=';')
+timeStep19 = df19.iloc[:, 0]
+radial_Stretch19 = df19.iloc[:, 1]
+pressure19 = df19.iloc[:, 2]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+# no EM fields
+# lambda_z = 0.5
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+# lambda_z = 1.5
+plt.plot(l1, p4, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p5, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p6, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+# lambda_z = 2
+plt.plot(l1, p7, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p8, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p9, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+# with EM fields
+# lambda_z = 0.5
+plt.plot(l1, p10, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p11, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p12, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+# lambda_z = 1.5
+plt.plot(l1, p13, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p14, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p15, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+# lambda_z = 2
+plt.plot(l1, p16, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p17, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p18, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# lambda_z = 0.5
+plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=1.5$',linewidth=1.)
+plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=2$',linewidth=1.)
+plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=2.5$',linewidth=1.)
+# lambda_z = 1.5
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+# lambda_z = 2
+plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+
+# with EM field-dependent shear modulus test results
+# lambda_z = 0.5
+plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=1.5$',linewidth=1.5)
+plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=2$',linewidth=1.5)
+plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=2.5$',linewidth=1.5)
+# lambda_z = 1.5
+plt.plot(radial_Stretch14,pressure14/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch15,pressure15/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch16,pressure16/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+# lambda_z = 2
+plt.plot(radial_Stretch17,pressure17/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch18,pressure18/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch19,pressure19/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax2.set_ylabel(u"P [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(1.6, 80, "$\lambda_z=0.5$", size=16)
+ax2.text(1.2, 45, "$\lambda_z=1.5$", size=16)
+ax2.text(0.75, 20, "$\lambda_z=2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.1))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(10))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('2b_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/4a.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/4a.py
new file mode 100755
index 0000000000000000000000000000000000000000..48aacd7ddf0ca40b334ea0ecc2725474bbd0c017
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/4a.py
@@ -0,0 +1,159 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '4a.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+
+# ratio of external to internal radius of conducting material
+zeta_ = [1.5, 2.0, 2.5]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName1 = 'pureRadialStretch_zeta_15_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+
+gholapFileName2 = 'pureRadialStretch_zeta_20_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName4 = 'pureRadialStretch_zeta_15_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'pureRadialStretch_zeta_20_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_E_100000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+lambda_i = 2.00
+#print(npy.isclose(radial_Stretch1, lambda_i, atol=0.01).any())
+n1_, = npy.where(npy.isclose(radial_Stretch1, lambda_i, rtol=0.01))
+#print(n1_)
+if (radial_Stretch1[n1_[0]]>lambda_i):
+    press1 = pressure1[n1_[0]]
+else:
+    press1 = pressure1[n1_[0]+1]
+n2_, = npy.where(npy.isclose(radial_Stretch2, lambda_i, rtol=0.01))
+if (radial_Stretch2[n2_[0]]>lambda_i):
+    press2 = pressure2[n2_[0]]
+else:
+    press2 = pressure2[n2_[0]+1]
+n3_, = npy.where(npy.isclose(radial_Stretch3, lambda_i, rtol=0.01))
+if (radial_Stretch3[n3_[0]]>lambda_i):
+    press3 = pressure3[n3_[0]]
+else:
+    press3 = pressure3[n3_[0]+1]
+n4_, = npy.where(npy.isclose(radial_Stretch4, lambda_i, rtol=0.01))
+if (radial_Stretch4[n4_[0]]>lambda_i):
+    press4 = pressure4[n4_[0]]
+else:
+    press4 = pressure4[n4_[0]+1]
+n5_, = npy.where(npy.isclose(radial_Stretch5, lambda_i, rtol=0.01))
+if (radial_Stretch5[n5_[0]]>lambda_i):
+    press5 = pressure5[n5_[0]]
+else:
+    press5 = pressure5[n5_[0]+1]
+n6_, = npy.where(npy.isclose(radial_Stretch6, lambda_i, rtol=0.01))
+if (radial_Stretch6[n6_[0]]>lambda_i):
+    press6 = pressure6[n6_[0]]
+else:
+    press6 = pressure6[n6_[0]+1]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+plt.plot(l1, p1, marker='X',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2016] $E_0=100$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# inflation test results data plot
+plt.plot(zeta_[0],press1/1.e3,marker='X',c='red',linestyle='none',fillstyle='full',label='Gholap [2024] $E_0=0$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(zeta_[1],press2/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+plt.plot(zeta_[2],press3/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+
+# with EM field-dependent shear modulus test results
+# inflation test results data plot
+plt.plot(zeta_[0],press4/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.5)
+plt.plot(zeta_[1],press5/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(zeta_[2],press6/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\zeta$", fontsize=16)
+ax2.set_ylabel(u"P [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(2.25, 40, "$\lambda_z = 1$, \n $\lambda_i = 2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(10))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('4a_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
\ No newline at end of file
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/4b.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/4b.py
new file mode 100755
index 0000000000000000000000000000000000000000..14a0368ecb24442afe9005c37715f5a4a7ed7d42
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/4b.py
@@ -0,0 +1,291 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '4b.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+
+# Magnitude of applied electric fields [kVm-1]
+E_field = [0, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# Tests with lambda_i = 2.0, lambda_z = 1.0 for zeta = 2.5
+radial_Stretch_array = []
+pressure_array = []
+
+gholapFileName1 = 'pureRadialStretch_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch1)
+pressure_array.append(pressure1)
+# print(pressure1.iat[-1])
+
+gholapFileName2 = 'pureRadialStretch_zeta_25_E_15000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch2)
+pressure_array.append(pressure2)
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_E_30000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch3)
+pressure_array.append(pressure3)
+
+gholapFileName4 = 'pureRadialStretch_zeta_25_E_45000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch4)
+pressure_array.append(pressure4)
+
+gholapFileName5 = 'pureRadialStretch_zeta_25_E_60000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch5)
+pressure_array.append(pressure5)
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_E_75000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch6)
+pressure_array.append(pressure6)
+
+gholapFileName7 = 'pureRadialStretch_zeta_25_E_90000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch7)
+pressure_array.append(pressure7)
+
+gholapFileName8 = 'pureRadialStretch_zeta_25_E_105000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch8)
+pressure_array.append(pressure8)
+
+gholapFileName9 = 'pureRadialStretch_zeta_25_E_120000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch9)
+pressure_array.append(pressure9)
+
+gholapFileName10 = 'pureRadialStretch_zeta_25_E_135000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch10)
+pressure_array.append(pressure10)
+
+gholapFileName11 = 'pureRadialStretch_zeta_25_E_150000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+df11 = pd.read_csv(gholapFileName11,sep=';')
+timeStep11 = df11.iloc[:, 0]
+radial_Stretch11 = df11.iloc[:, 1]
+pressure11 = df11.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch11)
+pressure_array.append(pressure11)
+
+# Tests with lambda_i = 0.5, lambda_z = 1.0 for zeta = 2.5
+gholapFileName12 = 'pureRadialStretchCompression_zeta_25_E_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+df12 = pd.read_csv(gholapFileName12,sep=';')
+timeStep12 = df12.iloc[:, 0]
+radial_Stretch12 = df12.iloc[:, 1]
+pressure12 = df12.iloc[:, 2]
+
+gholapFileName13 = 'pureRadialStretchCompression_zeta_25_E_15000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+df13 = pd.read_csv(gholapFileName13,sep=';')
+timeStep13 = df13.iloc[:, 0]
+radial_Stretch13 = df13.iloc[:, 1]
+pressure13 = df13.iloc[:, 2]
+
+gholapFileName14 = 'pureRadialStretchCompression_zeta_25_E_30000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+df14 = pd.read_csv(gholapFileName14,sep=';')
+timeStep14 = df14.iloc[:, 0]
+radial_Stretch14 = df14.iloc[:, 1]
+pressure14 = df14.iloc[:, 2]
+
+gholapFileName15 = 'pureRadialStretchCompression_zeta_25_E_45000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+df15 = pd.read_csv(gholapFileName15,sep=';')
+timeStep15 = df15.iloc[:, 0]
+radial_Stretch15 = df15.iloc[:, 1]
+pressure15 = df15.iloc[:, 2]
+
+gholapFileName16 = 'pureRadialStretchCompression_zeta_25_E_60000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
+df16 = pd.read_csv(gholapFileName16,sep=';')
+timeStep16 = df16.iloc[:, 0]
+radial_Stretch16 = df16.iloc[:, 1]
+pressure16 = df16.iloc[:, 2]
+
+gholapFileName17 = 'pureRadialStretchCompression_zeta_25_E_75000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+df17 = pd.read_csv(gholapFileName17,sep=';')
+timeStep17 = df17.iloc[:, 0]
+radial_Stretch17 = df17.iloc[:, 1]
+pressure17 = df17.iloc[:, 2]
+
+gholapFileName18 = 'pureRadialStretchCompression_zeta_25_E_90000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+df18 = pd.read_csv(gholapFileName18,sep=';')
+timeStep18 = df18.iloc[:, 0]
+radial_Stretch18 = df18.iloc[:, 1]
+pressure18 = df18.iloc[:, 2]
+
+gholapFileName19 = 'pureRadialStretchCompression_zeta_25_E_105000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+df19 = pd.read_csv(gholapFileName19,sep=';')
+timeStep19 = df19.iloc[:, 0]
+radial_Stretch19 = df19.iloc[:, 1]
+pressure19 = df19.iloc[:, 2]
+
+gholapFileName20 = 'pureRadialStretchCompression_zeta_25_E_120000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName20 + ' ' + os.getcwd())
+df20 = pd.read_csv(gholapFileName20,sep=';')
+timeStep20 = df20.iloc[:, 0]
+radial_Stretch20 = df20.iloc[:, 1]
+pressure20 = df20.iloc[:, 2]
+
+gholapFileName21 = 'pureRadialStretchCompression_zeta_25_E_135000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName21 + ' ' + os.getcwd())
+df21 = pd.read_csv(gholapFileName21,sep=';')
+timeStep21 = df21.iloc[:, 0]
+radial_Stretch21 = df21.iloc[:, 1]
+pressure21 = df21.iloc[:, 2]
+
+gholapFileName22 = 'pureRadialStretchCompression_zeta_25_E_150000_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName22 + ' ' + os.getcwd())
+df22 = pd.read_csv(gholapFileName22,sep=';')
+timeStep22 = df22.iloc[:, 0]
+radial_Stretch22 = df22.iloc[:, 1]
+pressure22 = df22.iloc[:, 2]
+
+lambda_i = 2.00
+press_i_array = []
+for i in range(0, len(radial_Stretch_array)):
+    radial_Stretch_i = radial_Stretch_array[i]
+    pressure_i = pressure_array[i]
+    ni_, = npy.where(npy.isclose(radial_Stretch_i, lambda_i, rtol=0.01))
+    if (radial_Stretch_i[ni_[0]]>lambda_i):
+        press_i = pressure_i[ni_[0]]
+    elif( (ni_[0] < len(radial_Stretch_i)-1) and (radial_Stretch_i[ni_[0]+1]>lambda_i) ):
+        press_i = pressure_i[ni_[0]+1]
+    else:
+        press_i = pressure_i[ni_[0]]
+    press_i_array.append(press_i)
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+# plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2016] $\lambda_i=0.5$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='o',c='red',linestyle='none',fillstyle='none', label='Mehnert [2016] $\lambda_i=2.0$, $\Theta_e=293$ K', linewidth=1.)
+
+# inflation test results data plot
+# plt.plot(E_field[0],pressure12.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none',label='Gholap [2024] $\lambda_i=0.5$, $\Theta_e=293$ K', linewidth=1.)
+# plt.plot(E_field[1],pressure13.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[2],pressure14.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[3],pressure15.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[4],pressure16.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[5],pressure17.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[6],pressure18.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[7],pressure19.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[8],pressure20.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[9],pressure21.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[10],pressure22.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+
+plt.plot(E_field[0],press_i_array[0]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $\lambda_i=2.0$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(E_field[1],press_i_array[1]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[2],press_i_array[2]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[3],press_i_array[3]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[4],press_i_array[4]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[5],press_i_array[5]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[6],press_i_array[6]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[7],press_i_array[7]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[8],press_i_array[8]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[9],press_i_array[9]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[10],press_i_array[10]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$E_0$ [kVm$^{-1}$]", fontsize=16)
+ax2.set_ylabel(u"P [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(70, 58, "$\lambda_i = 2$, \n $\lambda_z = 1$, \n $\zeta = 2.5$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(20))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(5))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('4b_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
+
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/5a.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/5a.py
new file mode 100755
index 0000000000000000000000000000000000000000..2a9b7df39883695bc63d6ee57d5c9f4f558a5de3
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/5a.py
@@ -0,0 +1,184 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '5a.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+l3 = df1.iloc[:, 4]
+p3 = df1.iloc[:, 5]
+l4 = df1.iloc[:, 6]
+p4 = df1.iloc[:, 7]
+l5 = df1.iloc[:, 8]
+p5 = df1.iloc[:, 9]
+l6 = df1.iloc[:, 10]
+p6 = df1.iloc[:, 11]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName2 = 'pureRadialStretchCompression_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'pureRadialStretchCompression_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+gholapFileName4 = 'pureRadialStretchCompression_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'pureRadialStretch_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'pureRadialStretch_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+gholapFileName7 = 'pureRadialStretch_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName8 = 'pureRadialStretchCompression_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+
+gholapFileName9= 'pureRadialStretchCompression_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+
+gholapFileName10 = 'pureRadialStretchCompression_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+
+gholapFileName11 = 'pureRadialStretch_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+df11 = pd.read_csv(gholapFileName11,sep=';')
+timeStep11 = df11.iloc[:, 0]
+radial_Stretch11 = df11.iloc[:, 1]
+pressure11 = df11.iloc[:, 2]
+
+gholapFileName12 = 'pureRadialStretch_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+df12 = pd.read_csv(gholapFileName12,sep=';')
+timeStep12 = df12.iloc[:, 0]
+radial_Stretch12 = df12.iloc[:, 1]
+pressure12 = df12.iloc[:, 2]
+
+gholapFileName13 = 'pureRadialStretch_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+df13 = pd.read_csv(gholapFileName13,sep=';')
+timeStep13 = df13.iloc[:, 0]
+radial_Stretch13 = df13.iloc[:, 1]
+pressure13 = df13.iloc[:, 2]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$  kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$  kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l3, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$  kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+plt.plot(l4, p4, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$  kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l5, p5, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$  kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l6, p6, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$  kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# compression test results data plot
+plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',linewidth=1.)
+plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',linewidth=1.)
+plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',linewidth=1.)
+# inflation test results data plot
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$  kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$  kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$  kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+
+# with EM field-dependent shear modulus test results
+# compression test results data plot
+plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='--',fillstyle='full',linewidth=1.5)
+plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='--',fillstyle='full',linewidth=1.5)
+plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='--',fillstyle='full',linewidth=1.5)
+# inflation test results data plot
+plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$  kVm$^{-1}$, $\zeta=1.5$', linewidth=1.5)
+plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$  kVm$^{-1}$, $\zeta=2$', linewidth=1.5)
+plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$  kVm$^{-1}$, $\zeta=2.5$', linewidth=1.5)
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(1.8, -50, "$\lambda_z = 1$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(50))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('5a_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
\ No newline at end of file
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/5b.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/5b.py
new file mode 100755
index 0000000000000000000000000000000000000000..ee7c566f0d316cd6a57c47532978f85d514faea8
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/5b.py
@@ -0,0 +1,265 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '5b.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2016 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = 2.0 # values from Mehnert for 2b always at lambda_i = 2
+# data for tests with no EM fields (E=0)
+p1 = df1.iloc[0, 1] # zeta=1.5, lambda_z = 0.5
+p2 = df1.iloc[0, 3] # zeta=2, lambda_z = 0.5
+p3 = df1.iloc[0, 5] # zeta=2.5, lambda_z = 0.5
+p4 = df1.iloc[4, 1] # zeta=1.5, lambda_z = 1.5
+p5 = df1.iloc[4, 3] # zeta=2, lambda_z = 1.5
+p6 = df1.iloc[4, 5] # zeta=2.5, lambda_z = 1.5
+p7 = df1.iloc[6, 1] # zeta=1.5, lambda_z = 2.
+p8 = df1.iloc[6, 3] # zeta=2, lambda_z = 2.
+p9 = df1.iloc[6, 5] # zeta=2.5, lambda_z = 2.
+# data for tests with EM fields (E=100)
+p10 = df1.iloc[0, 7] # zeta=1.5, lambda_z = 0.5
+p11 = df1.iloc[0, 9] # zeta=2, lambda_z = 0.5
+p12 = df1.iloc[0, 11] # zeta=2.5, lambda_z = 0.5
+p13 = df1.iloc[4, 7] # zeta=1.5, lambda_z = 1.5
+p14 = df1.iloc[4, 9] # zeta=2, lambda_z = 1.5
+p15 = df1.iloc[4, 11] # zeta=2.5, lambda_z = 1.5
+p16 = df1.iloc[6, 7] # zeta=1.5, lambda_z = 2.
+p17 = df1.iloc[6, 9] # zeta=2, lambda_z = 2.
+p18 = df1.iloc[6, 11] # zeta=2.5, lambda_z = 2.
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName2 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+gholapFileName4 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+gholapFileName7 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+
+gholapFileName8 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+
+gholapFileName9 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+
+gholapFileName10 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName11 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+df11 = pd.read_csv(gholapFileName11,sep=';')
+timeStep11 = df11.iloc[:, 0]
+radial_Stretch11 = df11.iloc[:, 1]
+pressure11 = df11.iloc[:, 2]
+
+gholapFileName12 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+df12 = pd.read_csv(gholapFileName12,sep=';')
+timeStep12 = df12.iloc[:, 0]
+radial_Stretch12 = df12.iloc[:, 1]
+pressure12 = df12.iloc[:, 2]
+
+gholapFileName13 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+df13 = pd.read_csv(gholapFileName13,sep=';')
+timeStep13 = df13.iloc[:, 0]
+radial_Stretch13 = df13.iloc[:, 1]
+pressure13 = df13.iloc[:, 2]
+
+gholapFileName14 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+df14 = pd.read_csv(gholapFileName14,sep=';')
+timeStep14 = df14.iloc[:, 0]
+radial_Stretch14 = df14.iloc[:, 1]
+pressure14 = df14.iloc[:, 2]
+
+gholapFileName15 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+df15 = pd.read_csv(gholapFileName15,sep=';')
+timeStep15 = df15.iloc[:, 0]
+radial_Stretch15 = df15.iloc[:, 1]
+pressure15 = df15.iloc[:, 2]
+
+gholapFileName16 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
+df16 = pd.read_csv(gholapFileName16,sep=';')
+timeStep16 = df16.iloc[:, 0]
+radial_Stretch16 = df16.iloc[:, 1]
+pressure16 = df16.iloc[:, 2]
+
+gholapFileName17 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+df17 = pd.read_csv(gholapFileName17,sep=';')
+timeStep17 = df17.iloc[:, 0]
+radial_Stretch17 = df17.iloc[:, 1]
+pressure17 = df17.iloc[:, 2]
+
+gholapFileName18 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+df18 = pd.read_csv(gholapFileName18,sep=';')
+timeStep18 = df18.iloc[:, 0]
+radial_Stretch18 = df18.iloc[:, 1]
+pressure18 = df18.iloc[:, 2]
+
+gholapFileName19 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+df19 = pd.read_csv(gholapFileName19,sep=';')
+timeStep19 = df19.iloc[:, 0]
+radial_Stretch19 = df19.iloc[:, 1]
+pressure19 = df19.iloc[:, 2]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+# no EM fields
+# lambda_z = 0.5
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$ kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+# lambda_z = 1.5
+plt.plot(l1, p4, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p5, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p6, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+# lambda_z = 2
+plt.plot(l1, p7, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p8, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p9, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+# with EM fields
+# lambda_z = 0.5
+plt.plot(l1, p10, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p11, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p12, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2016] $E_0=100$ kVm$^{-1}$, $\zeta=2.5$', linewidth=1.)
+# lambda_z = 1.5
+plt.plot(l1, p13, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p14, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p15, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+# lambda_z = 2
+plt.plot(l1, p16, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p17, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p18, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# lambda_z = 0.5
+plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=1.5$',linewidth=1.)
+plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=2$',linewidth=1.)
+plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $E_0=0$ kVm$^{-1}$, $\zeta=2.5$',linewidth=1.)
+# lambda_z = 1.5
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+# lambda_z = 2
+plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+
+# with EM field-dependent shear modulus test results
+# lambda_z = 0.5
+plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=1.5$',linewidth=1.5)
+plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=2$',linewidth=1.5)
+plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $E_0=100$ kVm$^{-1}$, $\zeta=2.5$',linewidth=1.5)
+# lambda_z = 1.5
+plt.plot(radial_Stretch14,pressure14/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch15,pressure15/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch16,pressure16/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+# lambda_z = 2
+plt.plot(radial_Stretch17,pressure17/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch18,pressure18/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+plt.plot(radial_Stretch19,pressure19/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(1.7, -1150, "$\lambda_z=0.5$", size=16)
+ax2.text(1.5, 650, "$\lambda_z=1.5$", size=16)
+ax2.text(0.7, 650, "$\lambda_z=2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.1))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(500))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('5b_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/7a.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/7a.py
new file mode 100755
index 0000000000000000000000000000000000000000..3e335915a0a09367ec10873f4f2f33075fc87d32
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/7a.py
@@ -0,0 +1,159 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '7a.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+
+# ratio of external to internal radius of conducting material
+zeta_ = [1.5, 2.0, 2.5]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName1 = 'pureRadialStretch_zeta_15_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+
+gholapFileName2 = 'pureRadialStretch_zeta_20_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName4 = 'pureRadialStretch_zeta_15_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'pureRadialStretch_zeta_20_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_E_100000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+lambda_i = 2.00
+#print(npy.isclose(radial_Stretch1, lambda_i, atol=0.01).any())
+n1_, = npy.where(npy.isclose(radial_Stretch1, lambda_i, rtol=0.01))
+#print(n1_)
+if (radial_Stretch1[n1_[0]]>lambda_i):
+    press1 = pressure1[n1_[0]]
+else:
+    press1 = pressure1[n1_[0]+1]
+n2_, = npy.where(npy.isclose(radial_Stretch2, lambda_i, rtol=0.01))
+if (radial_Stretch2[n2_[0]]>lambda_i):
+    press2 = pressure2[n2_[0]]
+else:
+    press2 = pressure2[n2_[0]+1]
+n3_, = npy.where(npy.isclose(radial_Stretch3, lambda_i, rtol=0.01))
+if (radial_Stretch3[n3_[0]]>lambda_i):
+    press3 = pressure3[n3_[0]]
+else:
+    press3 = pressure3[n3_[0]+1]
+n4_, = npy.where(npy.isclose(radial_Stretch4, lambda_i, rtol=0.01))
+if (radial_Stretch4[n4_[0]]>lambda_i):
+    press4 = pressure4[n4_[0]]
+else:
+    press4 = pressure4[n4_[0]+1]
+n5_, = npy.where(npy.isclose(radial_Stretch5, lambda_i, rtol=0.01))
+if (radial_Stretch5[n5_[0]]>lambda_i):
+    press5 = pressure5[n5_[0]]
+else:
+    press5 = pressure5[n5_[0]+1]
+n6_, = npy.where(npy.isclose(radial_Stretch6, lambda_i, rtol=0.01))
+if (radial_Stretch6[n6_[0]]>lambda_i):
+    press6 = pressure6[n6_[0]]
+else:
+    press6 = pressure6[n6_[0]+1]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+plt.plot(l1, p1, marker='X',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2016] $E_0=0$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2016] $E_0=100$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# inflation test results data plot
+plt.plot(zeta_[0],press1/1.e3,marker='X',c='red',linestyle='none',fillstyle='full',label='Gholap [2024] $E_0=0$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(zeta_[1],press2/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+plt.plot(zeta_[2],press3/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+
+# with EM field-dependent shear modulus test results
+# inflation test results data plot
+plt.plot(zeta_[0],press4/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $E_0=100$  kVm$^{-1}$, $\Theta_e=293$ K', linewidth=1.5)
+plt.plot(zeta_[1],press5/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(zeta_[2],press6/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\zeta$", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(2.15, 75, "$\lambda_z = 1$, \n $\lambda_i = 2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(20))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('7a_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
\ No newline at end of file
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/7b.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/7b.py
new file mode 100755
index 0000000000000000000000000000000000000000..ea8657b50830d7ef0f521029440b5f08b45e666c
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/7b.py
@@ -0,0 +1,291 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2016_data'
+mehnertFileName = '7b.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+
+# Magnitude of applied electric fields [kVm-1]
+E_field = [0, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# Tests with lambda_i = 2.0, lambda_z = 1.0 for zeta = 2.5
+radial_Stretch_array = []
+pressure_array = []
+
+gholapFileName1 = 'pureRadialStretch_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch1)
+pressure_array.append(pressure1)
+# print(pressure1.iat[-1])
+
+gholapFileName2 = 'pureRadialStretch_zeta_25_E_15000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch2)
+pressure_array.append(pressure2)
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_E_30000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch3)
+pressure_array.append(pressure3)
+
+gholapFileName4 = 'pureRadialStretch_zeta_25_E_45000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch4)
+pressure_array.append(pressure4)
+
+gholapFileName5 = 'pureRadialStretch_zeta_25_E_60000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch5)
+pressure_array.append(pressure5)
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_E_75000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch6)
+pressure_array.append(pressure6)
+
+gholapFileName7 = 'pureRadialStretch_zeta_25_E_90000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch7)
+pressure_array.append(pressure7)
+
+gholapFileName8 = 'pureRadialStretch_zeta_25_E_105000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch8)
+pressure_array.append(pressure8)
+
+gholapFileName9 = 'pureRadialStretch_zeta_25_E_120000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch9)
+pressure_array.append(pressure9)
+
+gholapFileName10 = 'pureRadialStretch_zeta_25_E_135000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch10)
+pressure_array.append(pressure10)
+
+gholapFileName11 = 'pureRadialStretch_zeta_25_E_150000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+df11 = pd.read_csv(gholapFileName11,sep=';')
+timeStep11 = df11.iloc[:, 0]
+radial_Stretch11 = df11.iloc[:, 1]
+pressure11 = df11.iloc[:, 2]
+radial_Stretch_array.append(radial_Stretch11)
+pressure_array.append(pressure11)
+
+# Tests with lambda_i = 0.5, lambda_z = 1.0 for zeta = 2.5
+gholapFileName12 = 'pureRadialStretchCompression_zeta_25_E_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+df12 = pd.read_csv(gholapFileName12,sep=';')
+timeStep12 = df12.iloc[:, 0]
+radial_Stretch12 = df12.iloc[:, 1]
+pressure12 = df12.iloc[:, 2]
+
+gholapFileName13 = 'pureRadialStretchCompression_zeta_25_E_15000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+df13 = pd.read_csv(gholapFileName13,sep=';')
+timeStep13 = df13.iloc[:, 0]
+radial_Stretch13 = df13.iloc[:, 1]
+pressure13 = df13.iloc[:, 2]
+
+gholapFileName14 = 'pureRadialStretchCompression_zeta_25_E_30000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+df14 = pd.read_csv(gholapFileName14,sep=';')
+timeStep14 = df14.iloc[:, 0]
+radial_Stretch14 = df14.iloc[:, 1]
+pressure14 = df14.iloc[:, 2]
+
+gholapFileName15 = 'pureRadialStretchCompression_zeta_25_E_45000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+df15 = pd.read_csv(gholapFileName15,sep=';')
+timeStep15 = df15.iloc[:, 0]
+radial_Stretch15 = df15.iloc[:, 1]
+pressure15 = df15.iloc[:, 2]
+
+gholapFileName16 = 'pureRadialStretchCompression_zeta_25_E_60000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
+df16 = pd.read_csv(gholapFileName16,sep=';')
+timeStep16 = df16.iloc[:, 0]
+radial_Stretch16 = df16.iloc[:, 1]
+pressure16 = df16.iloc[:, 2]
+
+gholapFileName17 = 'pureRadialStretchCompression_zeta_25_E_75000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+df17 = pd.read_csv(gholapFileName17,sep=';')
+timeStep17 = df17.iloc[:, 0]
+radial_Stretch17 = df17.iloc[:, 1]
+pressure17 = df17.iloc[:, 2]
+
+gholapFileName18 = 'pureRadialStretchCompression_zeta_25_E_90000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+df18 = pd.read_csv(gholapFileName18,sep=';')
+timeStep18 = df18.iloc[:, 0]
+radial_Stretch18 = df18.iloc[:, 1]
+pressure18 = df18.iloc[:, 2]
+
+gholapFileName19 = 'pureRadialStretchCompression_zeta_25_E_105000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+df19 = pd.read_csv(gholapFileName19,sep=';')
+timeStep19 = df19.iloc[:, 0]
+radial_Stretch19 = df19.iloc[:, 1]
+pressure19 = df19.iloc[:, 2]
+
+gholapFileName20 = 'pureRadialStretchCompression_zeta_25_E_120000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName20 + ' ' + os.getcwd())
+df20 = pd.read_csv(gholapFileName20,sep=';')
+timeStep20 = df20.iloc[:, 0]
+radial_Stretch20 = df20.iloc[:, 1]
+pressure20 = df20.iloc[:, 2]
+
+gholapFileName21 = 'pureRadialStretchCompression_zeta_25_E_135000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName21 + ' ' + os.getcwd())
+df21 = pd.read_csv(gholapFileName21,sep=';')
+timeStep21 = df21.iloc[:, 0]
+radial_Stretch21 = df21.iloc[:, 1]
+pressure21 = df21.iloc[:, 2]
+
+gholapFileName22 = 'pureRadialStretchCompression_zeta_25_E_150000_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName22 + ' ' + os.getcwd())
+df22 = pd.read_csv(gholapFileName22,sep=';')
+timeStep22 = df22.iloc[:, 0]
+radial_Stretch22 = df22.iloc[:, 1]
+pressure22 = df22.iloc[:, 2]
+
+lambda_i = 2.00
+press_i_array = []
+for i in range(0, len(radial_Stretch_array)):
+    radial_Stretch_i = radial_Stretch_array[i]
+    pressure_i = pressure_array[i]
+    ni_, = npy.where(npy.isclose(radial_Stretch_i, lambda_i, rtol=0.01))
+    if (radial_Stretch_i[ni_[0]]>lambda_i):
+        press_i = pressure_i[ni_[0]]
+    elif ((ni_[0] < len(radial_Stretch_i) - 1) and (radial_Stretch_i[ni_[0] + 1] > lambda_i)):
+        press_i = pressure_i[ni_[0] + 1]
+    else:
+        press_i = pressure_i[ni_[0]]
+    press_i_array.append(press_i)
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+# plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2016] $\lambda_i=0.5$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='o',c='red',linestyle='none',fillstyle='none', label='Mehnert [2016] $\lambda_i=2.0$, $\Theta_e=293$ K', linewidth=1.)
+
+# inflation test results data plot
+# plt.plot(E_field[0],pressure12.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none',label='Gholap [2024] $\lambda_i=0.5$, $\Theta_e=293$ K', linewidth=1.)
+# plt.plot(E_field[1],pressure13.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[2],pressure14.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[3],pressure15.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[4],pressure16.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[5],pressure17.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[6],pressure18.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[7],pressure19.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[8],pressure20.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[9],pressure21.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+# plt.plot(E_field[10],pressure22.iat[-1]/1.e3,marker='X',c='blue',linestyle='none',fillstyle='none')
+
+plt.plot(E_field[0],press_i_array[0]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $\lambda_i=2.0$, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(E_field[1],press_i_array[1]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[2],press_i_array[2]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[3],press_i_array[3]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[4],press_i_array[4]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[5],press_i_array[5]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[6],press_i_array[6]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[7],press_i_array[7]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[8],press_i_array[8]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[9],press_i_array[9]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(E_field[10],press_i_array[10]/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$E_0$ [kVm$^{-1}$]", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(70, 110, "$\lambda_i = 2$, \n $\lambda_z = 1$, \n $\zeta = 2.5$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(20))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(5))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('7b_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
+
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/Steinmann_ETM_Benchmarks.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/Steinmann_ETM_Benchmarks.py
index 37e7d453d08f0c92f50e358cde4d0f2751aadea3..75800f83e23b152487a6de08faf7447bc85c0dc2 100644
--- a/dG3D/benchmarks/steinmann_ETM_Benchmarks/Steinmann_ETM_Benchmarks.py
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/Steinmann_ETM_Benchmarks.py
@@ -22,7 +22,7 @@ with open("inputdatafile.txt", "rb") as data:
   thermalSource = pickle.load(data)
   applyPressureBCForRadialStretch = pickle.load(data)
   applyPressureBCWithAxialStretch = pickle.load(data)
-  pressure = pickle.load(data)
+  Pmax = pickle.load(data)
   tApplied = pickle.load(data)
   electricField = pickle.load(data)
   lambda_z = pickle.load(data)
@@ -40,7 +40,7 @@ print('flagEMFieldDependentShearModulus: ', flagEMFieldDependentShearModulus)
 print('thermalSource: ', thermalSource)
 print('applyPressureBCForRadialStretch: ', applyPressureBCForRadialStretch)
 print('applyPressureBCWithAxialStretch: ', applyPressureBCWithAxialStretch)
-print('pressure: ', pressure)
+print('Pmax: ', Pmax)
 print('tApplied: ', tApplied) 
 print('electricField: ', electricField)
 print('lambda_z: ', lambda_z)
@@ -349,7 +349,7 @@ mysolver.snlManageTimeStep(25, 10, 2, 10)
 # BC
 
 # Mechanical BC
-#pressure = 47.e3 # Pa
+#Pmax = 47.e3 # Pa
 
 # getting radial stretch lambda_i with fixing axial stretch lambda_z = 1
 if(applyPressureBCForRadialStretch):
@@ -376,7 +376,7 @@ if(applyPressureBCForRadialStretch):
   mysolver.displacementBC("Face",SurfVacOutOuterShell,2,0.0)
 
   # pressure BC to get radial stretch
-  cyclicFunctionPressure=cycleFunctionTime(0., 0., ftime/10., 0., ftime, pressure); # Pa
+  cyclicFunctionPressure=cycleFunctionTime(0., 0., ftime/10., 0., ftime, Pmax); # Pa
   mysolver.pressureOnPhysicalGroupBC("Face",SmpInnerShell,cyclicFunctionPressure)
   
 # combined axial stretch lambda_z with radial stretch lambda_i = 1
@@ -401,7 +401,7 @@ elif(applyPressureBCWithAxialStretch):
   mysolver.displacementBC("Face",SurfVacOutBottom, 2, cyclicFunctionDisp2)
 
   # pressure BC to get radial stretch
-  cyclicFunctionPressure=cycleFunctionTime(0., 0., 2.0*ftime/10., 0., ftime, pressure); # Pa
+  cyclicFunctionPressure=cycleFunctionTime(0., 0., 2.0*ftime/10., 0., ftime, Pmax); # Pa
   mysolver.pressureOnPhysicalGroupBC("Face",SmpInnerShell,cyclicFunctionPressure)
   
   # get rid of rigid body modes
@@ -556,6 +556,14 @@ mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 0, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 1, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 2, 1);
 
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 2, 1);
+
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 2, 1);
+
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,0,1);
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,1,1);
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,2,1);
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2a.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2a.csv
old mode 100644
new mode 100755
index 6f897b028d534704f1e753536f9c81b3ef8227fa..50dce0b122ab6d5d20edecbcc258cd63296b3fc6
--- a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2a.csv
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2a.csv
@@ -3,9 +3,3 @@ zeta=1.5,,zeta=2,,zeta=2.5,,zeta=1.5 E=100,,zeta=2 E=100,,zeta=2.5 E=100,
 0.99200579708922,0.0976729370020166,0.992015290139253,-0.338374494495071,1.04408466956802,7.94146374393236,0.998546508561677,-0.339007364497249,0.99200579708922,0.0976729370020166,1.04408466956802,7.94146374393236
 1.49429256736374,28.392024994146,1.50051051513509,42.780957363548,1.54599171784124,53.6777130609601,1.49435901871397,25.3396929736663,1.49406473416296,38.8571633500763,1.50044406378486,45.8332893840276
 1.99703500403982,35.7561003394293,1.99656984458822,57.122424482787,2.04196560984408,71.943607063673,1.99712044149011,31.8316734559554,1.99668376118861,51.8898553048218,1.9964179557877,64.0991833867405
-2.49334115279381,38.7603342397438,2.49280004894195,63.6150378350783,2.54467956737007,80.6158247034477,2.49343608329413,34.3998599247728,2.49948315616489,56.6376460611226,2.4926101879413,72.3359864650202
-2.99623547827041,39.1476506810736,2.99564690916839,66.1825914338936,3.04094774392392,85.3642483297506,2.9963209157207,35.2232237975997,2.99579879796891,59.20583252994,2.99541907596761,76.6477297898239
-3.49259858532459,39.5355999924055,3.49200052317254,67.0065881767226,3.54379460415036,87.9318019285658,3.49268402277488,35.6111731089317,3.49214291892302,60.4658767042662,3.49174421082166,78.7798688271442
-3.99549291080119,39.9229164337353,3.99488535559911,67.8299520495495,4.0466699435269,89.1912132328898,3.99557834825149,35.9984895502615,3.9950277513496,61.289240577093,3.98808833177577,80.0399130014703
-4.49186551090541,39.8748183135702,4.49124846265329,68.2179013608814,4.54302355753105,90.0152099757189,4.49848216677812,35.9497585600942,4.49140035145381,61.2411424569279,4.4975138756748,80.426596572798
-4.99476932943204,39.8260873234029,5.00067400655231,68.604584932209,4.99367762867829,89.9715419455689,5.00139547835479,35.4649801384298,5.00083538840287,61.1917785967584,4.99386748967895,81.250593315627
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2b.jpg b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2b.jpg
index 79fa56df97686d3bcf0c802e4f0f6b9d3e09f549..5e1029798033c38138d63b87cbdb906f509a3b4a 100644
Binary files a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2b.jpg and b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/2b.jpg differ
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.csv
new file mode 100755
index 0000000000000000000000000000000000000000..73501942f1c104d613ee386ef844879fcc0a0922
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.csv
@@ -0,0 +1,4 @@
+temp=293 E=0,,temp=293 E=100,
+1.4990253411306,35.8834244080146,1.50175438596491,32.2404371584699
+2.00116959064327,57.3770491803279,2.00116959064327,51.5482695810565
+2.50058479532164,70.856102003643,2.50058479532164,63.9344262295082
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.jpg b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..04ea032899dfe1f7ea2a658cbff089f9c3fcf4e1
Binary files /dev/null and b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4a.jpg differ
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a70bf1daa9d8ad45c0f389f33e1929cef7312ea4
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.csv
@@ -0,0 +1,12 @@
+temp=293 lambdai=0.5,,temp=293 lambdai=2,
+0,-205.741127348643,0.244755244755243,71.920668058455
+15.1748251748252,-205.741127348643,14.9300699300699,71.3987473903966
+30.1048951048951,-204.175365344468,30.1048951048951,70.3549060542797
+45.034965034965,-202.087682672234,45.034965034965,69.8329853862212
+59.965034965035,-198.956158663883,59.965034965035,68.2672233820459
+74.8951048951049,-194.258872651357,75.1398601398601,67.223382045929
+90.0699300699301,-189.039665970772,90.0699300699301,65.1356993736951
+104.755244755245,-183.298538622129,105,63.5699373695198
+119.685314685315,-176.51356993737,119.93006993007,60.9603340292275
+134.86013986014,-168.684759916493,135.104895104895,58.3507306889352
+150.034965034965,-159.812108559499,150.034965034965,54.697286012526
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.jpg b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..a35f141cc775381a0eddab49803b7bdaf4bbd26a
Binary files /dev/null and b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/4b.jpg differ
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5a.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5a.csv
new file mode 100755
index 0000000000000000000000000000000000000000..ae5c3ea6eca61c6f227aaf70f8c2818138e896df
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5a.csv
@@ -0,0 +1,5 @@
+zeta=1.5 E=0,,zeta=2 E=0,,zeta=2.5 E=0,,zeta=1.5 E=100,,zeta=2 E=100,,zeta=2.5 E=100,
+0.654485049833887,-50.0198105081826,0.707641196013289,-50.0267011197244,0.707641196013289,-50.0267011197244,0.654485049833887,-44.8346253229974,0.700996677740864,-45.8776916451335,0.754152823920266,-44.8475452196383
+1.15282392026578,15.2489233419466,1.25249169435216,34.421188630491,1.25249169435216,39.6063738156761,1.15946843853821,13.6925064599483,1.19933554817276,24.5762273901809,1.19933554817276,28.724375538329
+1.65116279069767,48.8880275624462,1.75083056478405,86.2084409991387,1.75083056478405,106.949181739879,1.65116279069767,43.7028423772609,1.70431893687708,73.7700258397933,1.69767441860465,90.8819982773471
+2.14950166112957,66.9715762273902,2.24916943521595,121.921619293712,2.24916943521595,159.254952627046,2.14950166112957,60.2308354866494,2.19601328903654,106.372954349699,2.19601328903654,139.039621016365
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5b.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5b.csv
new file mode 100755
index 0000000000000000000000000000000000000000..85a1cc0c6a0bc585f2808a6b7af16766ec5ac812
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/5b.csv
@@ -0,0 +1,8 @@
+zeta=1.5 E=0,,zeta=2 E=0,,zeta=2.5 E=0,,zeta=1.5 E=100,,zeta=2 E=100,,zeta=2.5 E=100,
+0.499294781382228,-292.875989445911,0.499294781382228,-836.411609498681,0.584203102961918,-999.839976778026,0.499294781382228,-263.852242744064,0.499294781382228,-754.617414248022,0.564456981664316,-1002.51571390825
+0.750070521861777,-31.1896424039212,0.750070521861777,-157.838718921072,0.750070521861777,-355.727900979119,0.750070521861777,-33.8281648313618,0.750070521861777,-142.007584356428,0.750070521861777,-316.15006456751
+1.00084626234133,61.6312692818674,1.00084626234133,109.124672975799,1.00084626234133,138.148419677646,1.00084626234133,58.9927468544267,1.00084626234133,95.9320608385956,1.00282087447109,127.598051438162
+1.24964739069111,122.78619036809,1.24964739069111,262.627879022444,1.24964739069111,423.577747096322,1.24964739069111,112.232100658328,1.24964739069111,236.242654748037,1.24964739069111,381.361388257272
+1.50042313117066,168.113698359948,1.50042313117066,379.195492555198,1.50042313117066,635.13216801694,1.50042313117066,149.644041367863,1.50042313117066,339.617656143589,1.50042313117066,571.807629758365
+1.74922425952045,205.521917599205,1.74922425952045,474.651205198149,1.74922425952045,815.020598337991,1.74922425952045,184.41373817968,1.74922425952045,427.157801504218,1.74922425952045,730.587880659891
+2,240.2953358813,2,564.833594456497,2,973.804570709796,2,216.548634034334,2,506.786101052804,2,873.540718467051
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.csv
new file mode 100755
index 0000000000000000000000000000000000000000..d7c2e7b3c4a5252f3b1da9d9b5be54ae309a5404
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.csv
@@ -0,0 +1,4 @@
+E=0 temp=293,,E=100 temp=293,
+1.5,62.6450116009281,1.5,56.1484918793504
+2,104.872389791183,2,94.6635730858469
+2.5,134.106728538283,2.5,120.649651972158
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.jpg b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.jpg
new file mode 100755
index 0000000000000000000000000000000000000000..529072f34b5ede441b5338cb4897187fc7e5b813
Binary files /dev/null and b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7a.jpg differ
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.csv b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.csv
new file mode 100644
index 0000000000000000000000000000000000000000..8c625d8fb295d9f98c1fe6ed609313c3c3e2b915
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.csv
@@ -0,0 +1,12 @@
+temp=293 lambdai=0.5,,temp=293 lambdai=2,
+0,-100,0.194444444444446,134.671532846715
+15.1666666666667,-100,15.1666666666667,134.671532846715
+29.9444444444445,-98.9051094890511,30.1388888888889,133.576642335766
+44.9166666666667,-98.1751824817518,45.1111111111111,132.116788321168
+60.0833333333333,-96.7153284671533,60.0833333333333,129.92700729927
+75.0555555555556,-94.5255474452555,75.25,127.372262773723
+90.2222222222222,-91.970802919708,90.0277777777778,123.722627737226
+104.805555555556,-89.051094890511,105,119.70802919708
+120.361111111111,-85.4014598540146,119.972222222222,116.058394160584
+135.333333333333,-82.1167883211679,135.138888888889,110.583941605839
+150.111111111111,-77.7372262773723,150.111111111111,105.109489051095
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.jpg b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..fc998dd290957ca35e16d048d0fbd37e32c8e34c
Binary files /dev/null and b/dG3D/benchmarks/steinmann_ETM_Benchmarks/mehnert_steinmann_2016_data/7b.jpg differ
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotNormalForce.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotNormalForce.py
new file mode 100755
index 0000000000000000000000000000000000000000..6f849290be914abd87d7d75ddaa3fcca4859dc31
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotNormalForce.py
@@ -0,0 +1,121 @@
+import os
+import pickle
+
+import matplotlib
+import matplotlib.pyplot as plt
+import matplotlib.ticker as ticker
+import numpy as npy
+import openpyxl
+import pandas as pd
+from utils import *
+
+# testFolderName = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_100000_temp_293'
+testFolderName = 'pureRadialStretch_zeta_25_E_150000_temp_293'
+PATH_RESULTS = './'+testFolderName+'/'
+outputFileName = testFolderName+'_NormalPressure'+'.csv'
+
+inputFile = PATH_RESULTS + 'inputdatafile.txt'
+UxBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp0.csv'
+timeStep_old, Ux_old = read_2ColumnCsv(UxBefore)
+UyBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp1.csv'
+timeStep_old, Uy_old = read_2ColumnCsv(UyBefore)
+normalForceTopSurfaceBefore = PATH_RESULTS + 'force11111comp2.csv'
+timeStep_old, normalForceTopSurface_z_old = read_2ColumnCsv(normalForceTopSurfaceBefore)
+
+with open(inputFile, "rb") as data:
+    ftime = pickle.load(data)
+    nuSMP = pickle.load(data)
+    nuVac = pickle.load(data)
+    Rint_undeformed = pickle.load(data)
+    RextSMP = pickle.load(data)
+    meshfile = pickle.load(data)
+    flagUseEMStress = pickle.load(data)
+    flagEMFieldDependentShearModulus = pickle.load(data)
+    thermalSource = pickle.load(data)
+    applyPressureBCForRadialStretch = pickle.load(data)
+    applyPressureBCForAxialStretch = pickle.load(data)
+    Pmax = pickle.load(data)
+    tApplied = pickle.load(data)
+    electricField = pickle.load(data)
+    lambda_z = pickle.load(data)
+    H_SMP = pickle.load(data)
+    flagCompressionTest = pickle.load(data)
+
+# take entries only in mechanical load application stage
+# excluding EM loading time steps
+if(applyPressureBCForRadialStretch):
+    timeStart = 0.1 # start of application of pressure for radial inflation/compression
+elif(applyPressureBCForAxialStretch):
+    timeStart = 0.2  # start of application of pressure for radial inflation/compression
+else:
+    timeStart = 0.0 # default
+n_, = npy.where(npy.isclose(timeStep_old, timeStart)) # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
+timeStep = timeStep_old[n_[0]+1:] # new timeStep array excluding EM, thermal (and axial stretch) loading time steps
+Ux = Ux_old[n_[0]+1:] # new Ux
+Uy = Uy_old[n_[0]+1:] # new Uy
+normalForceTopSurface_z = normalForceTopSurface_z_old[n_[0]+1:] # new normal force
+
+# print('Ux = ',Ux)
+# print('Uy = ',Uy)
+# print('NormalForce = ',normalForceTopSurface_z)
+
+# this is going to give +ve displacement increment (delta_U) always
+# what about negative displacement increment (delta_U)?
+radial_U = (Ux ** 2. + Uy ** 2.) ** 0.5
+# print('radial_U = ',radial_U)
+
+# Sign of Ux only due to Uy = 0. always, since point 11120 located along xaxis and no displacement in y direction
+radial_Stretch = (npy.sign(Ux) * radial_U) / Rint_undeformed + 1.
+# print('radial stretch = ',radial_Stretch)
+
+# normal pressure = normal force/undeformed surface area
+normalPressureTopSurface_z = normalForceTopSurface_z/(npy.pi * Rint_undeformed * Rint_undeformed)
+# print(normalPressureTopSurface_z)
+
+# convert array into dataframe
+# writing columns with column head names
+df = pd.DataFrame({'t': timeStep, 'radial_Stretch': radial_Stretch, 'normal_pressure': normalPressureTopSurface_z})
+
+# save the dataframe as a csv file
+# header = True if column header names to be written to csv
+df.to_csv(outputFileName, sep=";", header=True, index=False)
+
+# copy file to results directory
+resultsDir = 'gholap_data'
+if not os.path.exists(resultsDir):
+    # if directory is not present
+    # then create it
+    os.makedirs(resultsDir)
+os.system('cp '+outputFileName+' '+resultsDir+'/')
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig1 = plt.figure(figsize=(6, 6), layout='constrained')
+plt.plot(radial_Stretch, normalPressureTopSurface_z / 1.e3, 'g', label='Gholap et al.', linewidth=1.)
+ax1 = plt.gca()
+
+ax1.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax1.set_ylabel(u"Normal pressure [kPa]", fontsize=16)
+ax1.legend(loc='lower center', bbox_to_anchor=(0.5, -0.3), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax1.get_xlim()
+ybottom, ytop = ax1.get_ylim()
+# ax1.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+#ax1.text(0.97, -10, "$\lambda_z = 1$", size=16)
+
+ax1.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax1.grid(linestyle='--', linewidth=.3)
+ax1.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax1.margins(0.1)
+ax1.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax1.yaxis.set_major_locator(ticker.MultipleLocator(50))
+
+# plt.tight_layout(pad=2.)
+#fig1.savefig('normal_pressure_radial_stretch.png', bbox_inches='tight', dpi=1000)
+plt.show()
\ No newline at end of file
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotRadialStretch.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotRadialStretch.py
old mode 100644
new mode 100755
index a6f3ad2c89fcf993ad3b77f2eeb428ca776c4680..746b1ea1fef7000abcc6b99023030d2a08996405
--- a/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotRadialStretch.py
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/plotRadialStretch.py
@@ -9,7 +9,10 @@ import openpyxl
 import pandas as pd
 from utils import *
 
-PATH_RESULTS = './pureRadialStretch_zeta_15_E_100000_temp_293/'
+testFolderName = 'pureRadialStretch_zeta_25_E_150000_temp_293'
+# testFolderName = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_E_100000_temp_293'
+PATH_RESULTS = './'+testFolderName+'/'
+outputFileName = testFolderName+'.csv'
 
 inputFile = PATH_RESULTS + 'inputdatafile.txt'
 UxBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp0.csv'
@@ -29,7 +32,7 @@ with open(inputFile, "rb") as data:
     thermalSource = pickle.load(data)
     applyPressureBCForRadialStretch = pickle.load(data)
     applyPressureBCForAxialStretch = pickle.load(data)
-    amplP = pickle.load(data)
+    Pmax = pickle.load(data)
     tApplied = pickle.load(data)
     electricField = pickle.load(data)
     lambda_z = pickle.load(data)
@@ -38,9 +41,13 @@ with open(inputFile, "rb") as data:
 
 # take entries only in mechanical load application stage
 # excluding EM loading time steps
-#n = 1 # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
-timeStart = 0.1 # start of application of pressure for radial inflation/compression
-n_, = npy.where(npy.isclose(timeStep_old, timeStart))
+if(applyPressureBCForRadialStretch):
+    timeStart = 0.1 # start of application of pressure for radial inflation/compression
+elif(applyPressureBCForAxialStretch):
+    timeStart = 0.2  # start of application of pressure for radial inflation/compression
+else:
+    timeStart = 0.0 # default
+n_, = npy.where(npy.isclose(timeStep_old, timeStart)) # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
 timeStep = timeStep_old[n_[0]+1:] # new timeStep array excluding EM, thermal (and axial stretch) loading time steps
 Ux = Ux_old[n_[0]+1:] # new Ux
 Uy = Uy_old[n_[0]+1:] # new Uy
@@ -53,29 +60,12 @@ Uy = Uy_old[n_[0]+1:] # new Uy
 radial_U = (Ux ** 2. + Uy ** 2.) ** 0.5
 # print('radial_U = ',radial_U)
 
-# initial internal radius
-# Rint_undeformed= 0.01 # m
-# amplP=39.e3
-# ftime=1.
-
-if(flagCompressionTest):
-    signRadialCompression = [-1.0] * len(Ux); # array
-else:
-    signRadialCompression = [1.0] * len(Ux); # array
-
-# case where there is radial contraction for combined axial and radial stretch test and
-# on application of inflation pressure after some pressure
-# steps we get positive radial stretch (compared to undeformed radius)
-if(applyPressureBCForAxialStretch):
-    signCombinedRadialAxialStretchTest = npy.sign(Ux); # array
-else:
-    signCombinedRadialAxialStretchTest = [1.0] * len(Ux); # array
-
-radial_Stretch = (npy.asarray(signRadialCompression) * npy.asarray(signCombinedRadialAxialStretchTest) * radial_U) / Rint_undeformed + 1.
+# Sign of Ux only due to Uy = 0. always, since point 11120 located along xaxis and no displacement in y direction
+radial_Stretch = (npy.sign(Ux) * radial_U) / Rint_undeformed + 1.
 # print('radial stretch = ',radial_Stretch)
 
-# pressure = amplP / ftime * timeStep
-pressure = amplP * (timeStep-timeStart)/(ftime-timeStart)
+# pressure = Pmax / ftime * timeStep
+pressure = Pmax * (timeStep-timeStart)/(ftime-timeStart)
 # print(pressure)
 
 # convert array into dataframe
@@ -84,10 +74,7 @@ df = pd.DataFrame({'t': timeStep, 'radial_Stretch': radial_Stretch, 'pressure':
 
 # save the dataframe as a csv file
 # header = True if column header names to be written to csv
-#fileName = 'Gholap_2a_z_15_E_0_temp_293_compression.csv'
-# fileName = 'Gholap_2b_z_15_E_0_temp_293_lz_5_inflation.csv'
-fileName = 'Gholap_2a_z_15_E_100000_temp_293_inflation.csv'
-df.to_csv(fileName, sep=";", header=True, index=False)
+df.to_csv(outputFileName, sep=";", header=True, index=False)
 
 # copy file to results directory
 resultsDir = 'gholap_data'
@@ -95,7 +82,7 @@ if not os.path.exists(resultsDir):
     # if directory is not present
     # then create it
     os.makedirs(resultsDir)
-os.system('cp '+fileName+' '+resultsDir+'/')
+os.system('cp '+outputFileName+' '+resultsDir+'/')
 
 # plot data
 matplotlib.rc('text', usetex=True)
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/runTest.py b/dG3D/benchmarks/steinmann_ETM_Benchmarks/runTest.py
index 5bf53fba97f06c2e077b18be3a7af8a088970fa1..993c6249a6266b3745d79ddbd106031c1bed44c3 100644
--- a/dG3D/benchmarks/steinmann_ETM_Benchmarks/runTest.py
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/runTest.py
@@ -14,15 +14,15 @@ nuSMP = 0.495 # Poisson ratio
 nuVac = 0.25 # Poisson ratio
 RintSMP = 1.e-2 # m
 H_SMP = 2.e-3 # m
-flagCompressionTest = False # if compression stretch, either radial or axial
+# flagCompressionTest = False # if compression stretch radial
 
 # depending on external radius of smp, choose relevant mesh file
-RextSMP = RextArray[0] # m
-meshfile = meshfileArray[0] # name of mesh file
-flagUseEMStress = True
-flagEMFieldDependentShearModulus = True
+# RextSMP = RextArray[0] # m
+# meshfile = meshfileArray[0] # name of mesh file
+# flagUseEMStress = True
+# flagEMFieldDependentShearModulus = True
 #lambda_zArray = np.array([0.5,0.75,1.0,1.25,1.5,1.75,2.0]);
-lambda_z = 1.0 # axial stretch = l/L
+# lambda_z = 1.0 # axial stretch = l/L
 
 # use thermal source or not: (capacitive + meca + EM) thermal source
 thermalSource = False 
@@ -31,51 +31,74 @@ thermalSource = False
 # either on inner surface for radial inflation or compression
 # or on start and end surface for axial tensile or compressive stretch
 # or both in case of some radial stretch and then axial stretch
-applyPressureBCForRadialStretch = True
-applyPressureBCWithAxialStretch = False
+# applyPressureBCForRadialStretch = True
+# applyPressureBCWithAxialStretch = False
 
 #pressure data from mehnert et al.
 # plot 2a lambda_z = 1 purely radial stretch lambda_i = 2.5:
-#zeta=1.5, E=0, Pmax = 38761 Pa
-#zeta=2, E=0, Pmax = 63615
-#zeta=2.5, E=0, Pmax = 80616
-#zeta=1.5, E=100, Pmax = 34400
-#zeta=2, E=100, Pmax = 56638
-#zeta=2.5, E=100, Pmax = 72336
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 38761 #Pa
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 63615
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 80616
+zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 34400
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 56638
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 72336
 # plot 2a lambda_z = 1 purely radial compression lambda_i = 0.5:
-#zeta=1.5, E=0, Pmin = -174709 Pa
-#zeta=2, E=0, Pmin = -197820
-#zeta=2.5, E=0, Pmin = -185611
-#zeta=1.5, E=100, Pmin = -156832
-#zeta=2, E=100, Pmin = -177762
-#zeta=2.5, E=100, Pmin = -162941
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -174709 #Pa
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -197820
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -185611
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -156832
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -177762
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -162941
 
 # plot 2b lambda_i = 2 combined radial and axial stretch: 
-#zeta=1.5, E=0, lambda_z = 0.5, Pmax = 51814 Pa
-#zeta=1.5, E=0, lambda_z = 1.0, Pmax = 35965
-#zeta=1.5, E=0, lambda_z = 1.5, Pmax = 25486
-#zeta=1.5, E=0, lambda_z = 2.0, Pmax = 19652
-#zeta=2.0, E=0, lambda_z = 0.5, Pmax = 76923
-#zeta=2.0, E=0, lambda_z = 1.0, Pmax = 57446
-#zeta=2.0, E=0, lambda_z = 1.5, Pmax = 41887
-#zeta=2.0, E=0, lambda_z = 2.0, Pmax = 32569
-#zeta=2.5, E=0, lambda_z = 0.5, Pmax = 90711
-#zeta=2.5, E=0, lambda_z = 1.0, Pmax = 70943
-#zeta=2.5, E=0, lambda_z = 1.5, Pmax = 53063
-#zeta=2.5, E=0, lambda_z = 2.0, Pmax = 41858
-#zeta=1.5, E=100, lambda_z = 0.5, Pmax = 46589
-#zeta=1.5, E=100, lambda_z = 1.0, Pmax = 32337
-#zeta=1.5, E=100, lambda_z = 1.5, Pmax = 23019
-#zeta=1.5, E=100, lambda_z = 2.0, Pmax = 17620
-#zeta=2.0, E=100, lambda_z = 0.5, Pmax = 69376
-#zeta=2.0, E=100, lambda_z = 1.0, Pmax = 51640
-#zeta=2.0, E=100, lambda_z = 1.5, Pmax = 37823
-#zeta=2.0, E=100, lambda_z = 2.0, Pmax = 29376
-#zeta=2.5, E=100, lambda_z = 0.5, Pmax = 81568
-#zeta=2.5, E=100, lambda_z = 1.0, Pmax = 63832
-#zeta=2.5, E=100, lambda_z = 1.5, Pmax = 47838
-#zeta=2.5, E=100, lambda_z = 2.0, Pmax = 37649
-pressure = 34400 # Pa
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 51814 #Pa
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 35965
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 25486
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 19652
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 76923
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 57446
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 41887
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 32569
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 90711
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 70943
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 53063
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 41858
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 46589
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 32337
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 23019
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 17620
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 69376
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 51640
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 37823
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 29376
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 81568
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 63832
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 47838
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=1.e5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 37649
+
+# plot 4b lambda_z = 1 purely radial stretch lambda_i = 2.0:
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=15.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 71399
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=30.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 70355
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=45.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 69833
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=60.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 68267
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=75.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 67223
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=90.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 65136
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=105.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 63570
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=120.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 60961
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=135.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 58351
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=150.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 54697
+
+# plot 4b lambda_z = 1 purely radial compression lambda_i = 0.5:
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=15.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -205741
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=30.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -204175
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=45.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -202088
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=60.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -198956
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=75.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -194259
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=90.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -189040
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=105.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -183300
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=120.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -176514
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=135.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -168685
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; electricField=150.e3; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -159812
 
 # to apply appropriate thermal BC
 # temperature prescribed on outer cylindrical surface of smp
@@ -85,20 +108,20 @@ tApplied = tAppliedArray[1] # K
 
 # to generate axial electric field in SMP
 # if nonzero voltage difference applied, there is electric and magnetic fields in the problem
-electricField = electricFieldArray[1] # V/m
+# electricField = electricFieldArray[1] # V/m
 
 # directory to copy results files after run
 print('Creating folder to copy results files.')
 
 if(meshfile=='newDorfmannTestGeom_1.msh'):
-  zeta = 15 # 1.5 acutally but cannot have dot in folder name
+  zeta_ = 15 # 1.5 acutally but cannot have dot in folder name
 elif(meshfile=='newDorfmannTestGeom_2.msh'):
-  zeta = 20 # 2.0
+  zeta_ = 20 # 2.0
 elif(meshfile=='newDorfmannTestGeom_3.msh'):
-  zeta = 25 # 2.5
+  zeta_ = 25 # 2.5
 else:
-  print('Warning! Unknown mesh file. Using zeta = 0 to generate results folder.')
-  zeta = 0 # 
+  print('Warning! Unknown mesh file. Using zeta_ = 0 to generate results folder.')
+  zeta_ = 0 #
   
 if(applyPressureBCForRadialStretch):
   tempName = 'pureRadialStretch'
@@ -119,6 +142,8 @@ if(applyPressureBCWithAxialStretch):
     tempName += '50' # 0.5 acutally but cannot have dot in folder name
   elif(lambda_z==0.75):
     tempName += '75'
+  elif(lambda_z==1.0):
+    tempName += '100'
   elif(lambda_z==1.25):
     tempName += '125'
   elif(lambda_z==1.5):
@@ -130,7 +155,7 @@ if(applyPressureBCWithAxialStretch):
   else: # lambda_z==1.0
     tempName += '1'
   
-resultsDir = tempName+'_zeta_'+str(int(zeta))+'_E_'+str(int(electricField))+'_temp_'+str(int(tApplied))
+resultsDir = tempName+'_zeta_'+str(int(zeta_))+'_E_'+str(int(electricField))+'_temp_'+str(int(tApplied))
 os.system('mkdir '+resultsDir)
 
 print('Results folder '+resultsDir+' created.')
@@ -148,7 +173,7 @@ with open('inputdatafile.txt','wb') as data:
   pickle.dump(thermalSource, data)
   pickle.dump(applyPressureBCForRadialStretch, data)
   pickle.dump(applyPressureBCWithAxialStretch, data)
-  pickle.dump(pressure, data)
+  pickle.dump(Pmax, data)
   pickle.dump(tApplied, data)
   pickle.dump(electricField, data)
   pickle.dump(lambda_z, data)
diff --git a/dG3D/benchmarks/steinmann_ETM_Benchmarks/submit_vinu.sh b/dG3D/benchmarks/steinmann_ETM_Benchmarks/submit_vinu.sh
new file mode 100644
index 0000000000000000000000000000000000000000..cd0ead13238e8f4c6fda98fc1fabd5cc56d421a9
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_ETM_Benchmarks/submit_vinu.sh
@@ -0,0 +1,61 @@
+#!/bin/sh
+
+# script example for dragon2
+#SBATCH --job-name Steinmann_ETM_Test
+#SBATCH --mail-user=vinayak.gholap@doct.uliege.be
+#SBATCH --mail-type=ALL
+#SBATCH --output="out.txt"
+#SBATCH --ntasks=1
+#SBATCH --mem-per-cpu=45GB
+#SBATCH --time=20-23:59:00
+#SBATCH --partition=long
+
+module load OpenMPI/4.1.1-GCC-11.2.0
+
+SUBDIR=$HOME/cm3Libraries/dG3D/benchmarks/steinmann_ETM_Benchmarks
+echo "subdir=" $SUBDIR
+
+SCRATCH=$GLOBALSCRATCH/${USER}_$SLURM_JOB_ID
+echo "workdir=" $SCRATCH
+
+
+pyfile=runTest.py
+mshfile=Refined_newDorfmannTestGeom_*.msh
+echo "node list of job"  >> $SUBDIR/output.po$SLURM_JOB_ID
+
+hostname >> $SUBDIR/output.po$SLURM_JOB_ID
+
+cd $GLOBALSCRATCH
+mkdir -p ${USER}_$SLURM_JOB_ID || exit $?
+cp $SUBDIR/$pyfile $SCRATCH/ || exit $?
+cp $SUBDIR/$mshfile $SCRATCH/ || exit $? 
+
+cp $SUBDIR/*.py $SCRATCH/ || exit $?
+
+cd $SCRATCH # needed to work in the tmpscrach dir otherwise work on home !!
+#ls -artl
+
+export PETSC_DIR=$HOME/local/petsc-3.19.5
+export PETSC_ARCH=arch-linux-cxx-opt
+
+export PATH=$HOME/local/bin:$PATH
+
+export buildmode=release
+export PATH=$PATH:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh
+
+
+export PYTHONPATH=$PYTHONPATH:$HOME/cm3Libraries/dG3D/$buildmode:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh/utils/wrappers:$HOME/cm3Libraries/dG3D/$buildmode/NonLinearSolver/gmsh/utils/wrappers/gmshpy
+
+
+mpirun python3  $SCRATCH/$pyfile >& $SCRATCH/output.txt
+
+echo -e "\n"
+
+sleep 5
+
+mkdir $SUBDIR/$SLURM_JOB_ID
+
+srun cp -r -f $SCRATCH/* $SUBDIR/$SLURM_JOB_ID/  || exit $? 
+srun rm -rf $SCRATCH ||  exit $? 
+echo -e "\n"
+
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/2a.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/2a.py
old mode 100644
new mode 100755
index 4755f98b4855e4be64cbfd45f005216dfb474107..3a4ab04b4cb833f79d5d272d7bb1121bbc2b3908
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/2a.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/2a.py
@@ -35,42 +35,42 @@ p6 = df1.iloc[:, 11]
 gholapDataFolderName = 'gholap_data'
 
 # no EM fields (pure TM simulation)
-gholapFileName2 = 'Gholap_2a_z_15_c_0_temp_293_compression.csv'
+gholapFileName2 = 'pureRadialStretchCompression_zeta_15_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
 df2 = pd.read_csv(gholapFileName2,sep=';')
 timeStep2 = df2.iloc[:, 0]
 radial_Stretch2 = df2.iloc[:, 1]
 pressure2 = df2.iloc[:, 2]
 
-gholapFileName3 = 'Gholap_2a_z_20_c_0_temp_293_compression.csv'
+gholapFileName3 = 'pureRadialStretchCompression_zeta_20_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
 df3 = pd.read_csv(gholapFileName3,sep=';')
 timeStep3 = df3.iloc[:, 0]
 radial_Stretch3 = df3.iloc[:, 1]
 pressure3 = df3.iloc[:, 2]
 
-gholapFileName4 = 'Gholap_2a_z_25_c_0_temp_293_compression.csv'
+gholapFileName4 = 'pureRadialStretchCompression_zeta_25_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
 df4 = pd.read_csv(gholapFileName4,sep=';')
 timeStep4 = df4.iloc[:, 0]
 radial_Stretch4 = df4.iloc[:, 1]
 pressure4 = df4.iloc[:, 2]
 
-gholapFileName5 = 'Gholap_2a_z_15_c_0_temp_293_inflation.csv'
+gholapFileName5 = 'pureRadialStretch_zeta_15_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
 df5 = pd.read_csv(gholapFileName5,sep=';')
 timeStep5 = df5.iloc[:, 0]
 radial_Stretch5 = df5.iloc[:, 1]
 pressure5 = df5.iloc[:, 2]
 
-gholapFileName6 = 'Gholap_2a_z_20_c_0_temp_293_inflation.csv'
+gholapFileName6 = 'pureRadialStretch_zeta_20_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
 df6 = pd.read_csv(gholapFileName6,sep=';')
 timeStep6 = df6.iloc[:, 0]
 radial_Stretch6 = df6.iloc[:, 1]
 pressure6 = df6.iloc[:, 2]
 
-gholapFileName7 = 'Gholap_2a_z_25_c_0_temp_293_inflation.csv'
+gholapFileName7 = 'pureRadialStretch_zeta_25_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
 df7 = pd.read_csv(gholapFileName7,sep=';')
 timeStep7 = df7.iloc[:, 0]
@@ -78,42 +78,42 @@ radial_Stretch7 = df7.iloc[:, 1]
 pressure7 = df7.iloc[:, 2]
 
 # with EM field-dependent shear modulus test results
-gholapFileName8 = 'Gholap_2a_z_15_c_6_temp_293_compression.csv'
+gholapFileName8 = 'pureRadialStretchCompression_zeta_15_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
 df8 = pd.read_csv(gholapFileName8,sep=';')
 timeStep8 = df8.iloc[:, 0]
 radial_Stretch8 = df8.iloc[:, 1]
 pressure8 = df8.iloc[:, 2]
 
-gholapFileName9= 'Gholap_2a_z_20_c_6_temp_293_compression.csv'
+gholapFileName9= 'pureRadialStretchCompression_zeta_20_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
 df9 = pd.read_csv(gholapFileName9,sep=';')
 timeStep9 = df9.iloc[:, 0]
 radial_Stretch9 = df9.iloc[:, 1]
 pressure9 = df9.iloc[:, 2]
 
-gholapFileName10 = 'Gholap_2a_z_25_c_6_temp_293_compression.csv'
+gholapFileName10 = 'pureRadialStretchCompression_zeta_25_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
 df10 = pd.read_csv(gholapFileName10,sep=';')
 timeStep10 = df10.iloc[:, 0]
 radial_Stretch10 = df10.iloc[:, 1]
 pressure10 = df10.iloc[:, 2]
 
-gholapFileName11 = 'Gholap_2a_z_15_c_6_temp_293_inflation.csv'
+gholapFileName11 = 'pureRadialStretch_zeta_15_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
 df11 = pd.read_csv(gholapFileName11,sep=';')
 timeStep11 = df11.iloc[:, 0]
 radial_Stretch11 = df11.iloc[:, 1]
 pressure11 = df11.iloc[:, 2]
 
-gholapFileName12 = 'Gholap_2a_z_20_c_6_temp_293_inflation.csv'
+gholapFileName12 = 'pureRadialStretch_zeta_20_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
 df12 = pd.read_csv(gholapFileName12,sep=';')
 timeStep12 = df12.iloc[:, 0]
 radial_Stretch12 = df12.iloc[:, 1]
 pressure12 = df12.iloc[:, 2]
 
-gholapFileName13 = 'Gholap_2a_z_25_c_6_temp_293_inflation.csv'
+gholapFileName13 = 'pureRadialStretch_zeta_25_c_6_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
 df13 = pd.read_csv(gholapFileName13,sep=';')
 timeStep13 = df13.iloc[:, 0]
@@ -167,7 +167,7 @@ xleft, xright = ax2.get_xlim()
 ybottom, ytop = ax2.get_ylim()
 # ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
 
-ax2.text(2.0, -150, "$\lambda_z = 1$", size=16)
+ax2.text(1.5, -150, "$\lambda_z = 1$", size=16)
 
 ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
 # ax2.grid(linestyle='--', linewidth=.3)
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/2b.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/2b.py
old mode 100644
new mode 100755
index b9070a295b56b2508be969b1495936edfec88d95..a49760e762e52528048dc208b837b09e642f52df
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/2b.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/2b.py
@@ -44,63 +44,63 @@ p18 = df1.iloc[6, 11] # zeta=2.5, lambda_z = 2.
 gholapDataFolderName = 'gholap_data'
 
 # no EM fields (pure TM simulation)
-gholapFileName2 = 'Gholap_2b_z_15_c_0_temp_293_lz_5_inflation.csv'
+gholapFileName2 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
 df2 = pd.read_csv(gholapFileName2,sep=';')
 timeStep2 = df2.iloc[:, 0]
 radial_Stretch2 = df2.iloc[:, 1]
 pressure2 = df2.iloc[:, 2]
 
-gholapFileName3 = 'Gholap_2b_z_20_c_0_temp_293_lz_5_inflation.csv'
+gholapFileName3 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
 df3 = pd.read_csv(gholapFileName3,sep=';')
 timeStep3 = df3.iloc[:, 0]
 radial_Stretch3 = df3.iloc[:, 1]
 pressure3 = df3.iloc[:, 2]
 
-gholapFileName4 = 'Gholap_2b_z_25_c_0_temp_293_lz_5_inflation.csv'
+gholapFileName4 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
 df4 = pd.read_csv(gholapFileName4,sep=';')
 timeStep4 = df4.iloc[:, 0]
 radial_Stretch4 = df4.iloc[:, 1]
 pressure4 = df4.iloc[:, 2]
 
-gholapFileName5 = 'Gholap_2b_z_15_c_0_temp_293_lz_15_inflation.csv'
+gholapFileName5 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
 df5 = pd.read_csv(gholapFileName5,sep=';')
 timeStep5 = df5.iloc[:, 0]
 radial_Stretch5 = df5.iloc[:, 1]
 pressure5 = df5.iloc[:, 2]
 
-gholapFileName6 = 'Gholap_2b_z_20_c_0_temp_293_lz_15_inflation.csv'
+gholapFileName6 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
 df6 = pd.read_csv(gholapFileName6,sep=';')
 timeStep6 = df6.iloc[:, 0]
 radial_Stretch6 = df6.iloc[:, 1]
 pressure6 = df6.iloc[:, 2]
 
-gholapFileName7 = 'Gholap_2b_z_25_c_0_temp_293_lz_15_inflation.csv'
+gholapFileName7 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
 df7 = pd.read_csv(gholapFileName7,sep=';')
 timeStep7 = df7.iloc[:, 0]
 radial_Stretch7 = df7.iloc[:, 1]
 pressure7 = df7.iloc[:, 2]
 
-gholapFileName8 = 'Gholap_2b_z_15_c_0_temp_293_lz_20_inflation.csv'
+gholapFileName8 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
 df8 = pd.read_csv(gholapFileName8,sep=';')
 timeStep8 = df8.iloc[:, 0]
 radial_Stretch8 = df8.iloc[:, 1]
 pressure8 = df8.iloc[:, 2]
 
-gholapFileName9 = 'Gholap_2b_z_20_c_0_temp_293_lz_20_inflation.csv'
+gholapFileName9 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
 df9 = pd.read_csv(gholapFileName9,sep=';')
 timeStep9 = df9.iloc[:, 0]
 radial_Stretch9 = df9.iloc[:, 1]
 pressure9 = df9.iloc[:, 2]
 
-gholapFileName10 = 'Gholap_2b_z_25_c_0_temp_293_lz_20_inflation.csv'
+gholapFileName10 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_0_temp_293.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
 df10 = pd.read_csv(gholapFileName10,sep=';')
 timeStep10 = df10.iloc[:, 0]
@@ -108,68 +108,68 @@ radial_Stretch10 = df10.iloc[:, 1]
 pressure10 = df10.iloc[:, 2]
 
 # with EM field-dependent shear modulus test results
-gholapFileName11 = 'Gholap_2b_z_15_c_6_temp_293_lz_5_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
-df11 = pd.read_csv(gholapFileName11,sep=';')
-timeStep11 = df11.iloc[:, 0]
-radial_Stretch11 = df11.iloc[:, 1]
-pressure11 = df11.iloc[:, 2]
-
-gholapFileName12 = 'Gholap_2b_z_20_c_6_temp_293_lz_5_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
-df12 = pd.read_csv(gholapFileName12,sep=';')
-timeStep12 = df12.iloc[:, 0]
-radial_Stretch12 = df12.iloc[:, 1]
-pressure12 = df12.iloc[:, 2]
-
-gholapFileName13 = 'Gholap_2b_z_25_c_6_temp_293_lz_5_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
-df13 = pd.read_csv(gholapFileName13,sep=';')
-timeStep13 = df13.iloc[:, 0]
-radial_Stretch13 = df13.iloc[:, 1]
-pressure13 = df13.iloc[:, 2]
-
-gholapFileName14 = 'Gholap_2b_z_15_c_6_temp_293_lz_15_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
-df14 = pd.read_csv(gholapFileName14,sep=';')
-timeStep14 = df14.iloc[:, 0]
-radial_Stretch14 = df14.iloc[:, 1]
-pressure14 = df14.iloc[:, 2]
-
-gholapFileName15 = 'Gholap_2b_z_20_c_6_temp_293_lz_15_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
-df15 = pd.read_csv(gholapFileName15,sep=';')
-timeStep15 = df15.iloc[:, 0]
-radial_Stretch15 = df15.iloc[:, 1]
-pressure15 = df15.iloc[:, 2]
-
-# gholapFileName16 = 'Gholap_2b_z_25_c_6_temp_293_lz_15_inflation.csv'
+# gholapFileName11 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+# df11 = pd.read_csv(gholapFileName11,sep=';')
+# timeStep11 = df11.iloc[:, 0]
+# radial_Stretch11 = df11.iloc[:, 1]
+# pressure11 = df11.iloc[:, 2]
+
+# gholapFileName12 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+# df12 = pd.read_csv(gholapFileName12,sep=';')
+# timeStep12 = df12.iloc[:, 0]
+# radial_Stretch12 = df12.iloc[:, 1]
+# pressure12 = df12.iloc[:, 2]
+
+# gholapFileName13 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+# df13 = pd.read_csv(gholapFileName13,sep=';')
+# timeStep13 = df13.iloc[:, 0]
+# radial_Stretch13 = df13.iloc[:, 1]
+# pressure13 = df13.iloc[:, 2]
+
+# gholapFileName14 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+# df14 = pd.read_csv(gholapFileName14,sep=';')
+# timeStep14 = df14.iloc[:, 0]
+# radial_Stretch14 = df14.iloc[:, 1]
+# pressure14 = df14.iloc[:, 2]
+
+# gholapFileName15 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+# df15 = pd.read_csv(gholapFileName15,sep=';')
+# timeStep15 = df15.iloc[:, 0]
+# radial_Stretch15 = df15.iloc[:, 1]
+# pressure15 = df15.iloc[:, 2]
+
+# gholapFileName16 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_c_6_temp_293.csv'
 # os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
 # df16 = pd.read_csv(gholapFileName16,sep=';')
 # timeStep16 = df16.iloc[:, 0]
 # radial_Stretch16 = df16.iloc[:, 1]
 # pressure16 = df16.iloc[:, 2]
 
-gholapFileName17 = 'Gholap_2b_z_15_c_6_temp_293_lz_20_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
-df17 = pd.read_csv(gholapFileName17,sep=';')
-timeStep17 = df17.iloc[:, 0]
-radial_Stretch17 = df17.iloc[:, 1]
-pressure17 = df17.iloc[:, 2]
-
-gholapFileName18 = 'Gholap_2b_z_20_c_6_temp_293_lz_20_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
-df18 = pd.read_csv(gholapFileName18,sep=';')
-timeStep18 = df18.iloc[:, 0]
-radial_Stretch18 = df18.iloc[:, 1]
-pressure18 = df18.iloc[:, 2]
-
-gholapFileName19 = 'Gholap_2b_z_25_c_6_temp_293_lz_20_inflation.csv'
-os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
-df19 = pd.read_csv(gholapFileName19,sep=';')
-timeStep19 = df19.iloc[:, 0]
-radial_Stretch19 = df19.iloc[:, 1]
-pressure19 = df19.iloc[:, 2]
+# gholapFileName17 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+# df17 = pd.read_csv(gholapFileName17,sep=';')
+# timeStep17 = df17.iloc[:, 0]
+# radial_Stretch17 = df17.iloc[:, 1]
+# pressure17 = df17.iloc[:, 2]
+
+# gholapFileName18 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+# df18 = pd.read_csv(gholapFileName18,sep=';')
+# timeStep18 = df18.iloc[:, 0]
+# radial_Stretch18 = df18.iloc[:, 1]
+# pressure18 = df18.iloc[:, 2]
+
+# gholapFileName19 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_6_temp_293.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+# df19 = pd.read_csv(gholapFileName19,sep=';')
+# timeStep19 = df19.iloc[:, 0]
+# radial_Stretch19 = df19.iloc[:, 1]
+# pressure19 = df19.iloc[:, 2]
 
 # plot data
 matplotlib.rc('text', usetex=True)
@@ -178,47 +178,47 @@ matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
 
 fig2 = plt.figure(figsize=(6, 6), layout="constrained")
 # no EM fields
-plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p4, marker='o',c='blueviolet',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p5, marker='X',c='indianred',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p6, marker='s',c='gray',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p7, marker='o',c='violet',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$, $\lambda_z=2$', linewidth=1.)
-plt.plot(l1, p8, marker='X',c='maroon',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$, $\lambda_z=2$', linewidth=1.)
-plt.plot(l1, p9, marker='s',c='silver',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$, $\lambda_z=2$', linewidth=1.)
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$', linewidth=1.)
+plt.plot(l1, p4, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p5, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p6, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p7, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p8, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p9, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
 # with EM fields
-plt.plot(l1, p10, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p11, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p12, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$, $\lambda_z=0.5$', linewidth=1.)
-plt.plot(l1, p13, marker='o',c='blueviolet',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p14, marker='X',c='indianred',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p15, marker='s',c='gray',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(l1, p16, marker='o',c='violet',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$, $\lambda_z=2$', linewidth=1.)
-plt.plot(l1, p17, marker='X',c='maroon',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$, $\lambda_z=2$', linewidth=1.)
-plt.plot(l1, p18, marker='s',c='silver',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$, $\lambda_z=2$', linewidth=1.)
+plt.plot(l1, p10, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p11, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p12, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$', linewidth=1.)
+plt.plot(l1, p13, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p14, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p15, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p16, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p17, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p18, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
 
 # no EM fields (pure TM simulation)
-plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$, $\lambda_z=0.5$',linewidth=1.)
-plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$, $\lambda_z=0.5$',linewidth=1.)
-plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$, $\lambda_z=0.5$',linewidth=1.)
-plt.plot(radial_Stretch5,pressure5/1.e3,c='blueviolet',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(radial_Stretch6,pressure6/1.e3,c='indianred',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(radial_Stretch7,pressure7/1.e3,c='gray',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$, $\lambda_z=1.5$', linewidth=1.)
-plt.plot(radial_Stretch8,pressure8/1.e3,c='violet',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$, $\lambda_z=2$', linewidth=1.)
-plt.plot(radial_Stretch9,pressure9/1.e3,c='maroon',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$, $\lambda_z=2$', linewidth=1.)
-plt.plot(radial_Stretch10,pressure10/1.e3,c='silver',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$, $\lambda_z=2$', linewidth=1.)
+plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$',linewidth=1.)
+plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$',linewidth=1.)
+plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$',linewidth=1.)
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
 
 # with EM field-dependent shear modulus test results
-plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$, $\lambda_z=0.5$',linewidth=1.5)
-plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$, $\lambda_z=0.5$',linewidth=1.5)
-plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$, $\lambda_z=0.5$',linewidth=1.5)
-plt.plot(radial_Stretch14,pressure14/1.e3,c='blueviolet',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$, $\lambda_z=1.5$', linewidth=1.5)
-plt.plot(radial_Stretch15,pressure15/1.e3,c='indianred',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$, $\lambda_z=1.5$', linewidth=1.5)
-# plt.plot(radial_Stretch16,pressure16/1.e3,c='gray',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$, $\lambda_z=1.5$', linewidth=1.5)
-plt.plot(radial_Stretch17,pressure17/1.e3,c='violet',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$, $\lambda_z=2$', linewidth=1.5)
-plt.plot(radial_Stretch18,pressure18/1.e3,c='maroon',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$, $\lambda_z=2$', linewidth=1.5)
-plt.plot(radial_Stretch19,pressure19/1.e3,c='silver',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$, $\lambda_z=2$', linewidth=1.5)
+# plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$',linewidth=1.5)
+# plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$',linewidth=1.5)
+# plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$',linewidth=1.5)
+# plt.plot(radial_Stretch14,pressure14/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch15,pressure15/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch16,pressure16/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch17,pressure17/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch18,pressure18/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch19,pressure19/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
 
 ax2 = plt.gca()
 
@@ -227,7 +227,7 @@ ax2 = plt.gca()
 
 ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
 ax2.set_ylabel(u"P [kPa]", fontsize=16)
-ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.9), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.3), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
 
 ratio = 1
 xleft, xright = ax2.get_xlim()
@@ -235,6 +235,10 @@ ybottom, ytop = ax2.get_ylim()
 # ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
 
 # ax2.text(2.0, -150, "$\lambda_i = 2$", size=16)
+# ax2.text(1.2, 10, "$\\alpha_e = 0.15$, $m_e = \mu_0^2$ T$^2$", size=12)
+ax2.text(1.65, 80, "$\lambda_z=0.5$", size=16)
+ax2.text(1.25, 45, "$\lambda_z=1.5$", size=16)
+ax2.text(0.7, 15, "$\lambda_z=2$", size=16)
 
 ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
 # ax2.grid(linestyle='--', linewidth=.3)
@@ -243,8 +247,8 @@ ax2.tick_params(bottom=True, top=True, left=True, right=True)
 ax2.margins(0.05)
 # plt.xticks(npy.arange(0.5,3.1,0.5))
 # plt.yticks(npy.arange(-200,101,50))
-ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.2))
-ax2.yaxis.set_major_locator(ticker.MultipleLocator(20))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.1))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(10))
 
 # plt.tight_layout(pad=0.)
 fig2.savefig('2b_comparison.png', bbox_inches='tight', dpi=1000)
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/4a.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/4a.py
new file mode 100755
index 0000000000000000000000000000000000000000..23b2c0e5486cf36d0076acf38289d4000c8defe8
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/4a.py
@@ -0,0 +1,159 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2017_data'
+mehnertFileName = '4a.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 2]
+p1 = df1.iloc[:, 3]
+l2 = df1.iloc[:, 8]
+p2 = df1.iloc[:, 9]
+
+# ratio of external to internal radius of conducting material
+zeta_ = [1.5, 2.0, 2.5]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName1 = 'pureRadialStretch_zeta_15_c_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+
+gholapFileName2 = 'pureRadialStretch_zeta_20_c_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_c_0_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName4 = 'pureRadialStretch_zeta_15_c_6_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'pureRadialStretch_zeta_20_c_6_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_c_6_temp_293.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+lambda_i = 2.00
+#print(npy.isclose(radial_Stretch1, lambda_i, atol=0.01).any())
+n1_, = npy.where(npy.isclose(radial_Stretch1, lambda_i, rtol=0.01))
+#print(n1_)
+if (radial_Stretch1[n1_[0]]>lambda_i):
+    press1 = pressure1[n1_[0]]
+else:
+    press1 = pressure1[n1_[0]+1]
+n2_, = npy.where(npy.isclose(radial_Stretch2, lambda_i, rtol=0.01))
+if (radial_Stretch2[n2_[0]]>lambda_i):
+    press2 = pressure2[n2_[0]]
+else:
+    press2 = pressure2[n2_[0]+1]
+n3_, = npy.where(npy.isclose(radial_Stretch3, lambda_i, rtol=0.01))
+if (radial_Stretch3[n3_[0]]>lambda_i):
+    press3 = pressure3[n3_[0]]
+else:
+    press3 = pressure3[n3_[0]+1]
+n4_, = npy.where(npy.isclose(radial_Stretch4, lambda_i, rtol=0.01))
+if (radial_Stretch4[n4_[0]]>lambda_i):
+    press4 = pressure4[n4_[0]]
+else:
+    press4 = pressure4[n4_[0]+1]
+n5_, = npy.where(npy.isclose(radial_Stretch5, lambda_i, rtol=0.01))
+if (radial_Stretch5[n5_[0]]>lambda_i):
+    press5 = pressure5[n5_[0]]
+else:
+    press5 = pressure5[n5_[0]+1]
+n6_, = npy.where(npy.isclose(radial_Stretch6, lambda_i, rtol=0.01))
+if (radial_Stretch6[n6_[0]]>lambda_i):
+    press6 = pressure6[n6_[0]]
+else:
+    press6 = pressure6[n6_[0]+1]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+plt.plot(l1, p1, marker='X',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2017] $c=1$ A, $\Theta_e=293$ K', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# inflation test results data plot
+plt.plot(zeta_[0],press1/1.e3,marker='X',c='red',linestyle='none',fillstyle='full',label='Gholap [2024] $c=0$ A, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(zeta_[1],press2/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+plt.plot(zeta_[2],press3/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+
+# with EM field-dependent shear modulus test results
+# inflation test results data plot
+plt.plot(zeta_[0],press4/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $c=1$ A, $\Theta_e=293$ K', linewidth=1.5)
+plt.plot(zeta_[1],press5/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(zeta_[2],press6/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\zeta$", fontsize=16)
+ax2.set_ylabel(u"P [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(2.15, 40, "$\lambda_z = 1$, \n $\lambda_i = 2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(10))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('4a_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/3a.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/6a.py
similarity index 74%
rename from dG3D/benchmarks/steinmann_MTM_Benchmarks/3a.py
rename to dG3D/benchmarks/steinmann_MTM_Benchmarks/6a.py
index 9ead774100bcee5a06f1f8cdc7970a366cc2c7b2..138fd8bd468c92194c310279dabb51effb6fe680 100755
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/3a.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/6a.py
@@ -11,7 +11,7 @@ from utils import *
 # from scipy.optimize import curve_fit
 
 mehnertDataFolderName = 'mehnert_steinmann_2017_data'
-mehnertFileName = '3a.csv'
+mehnertFileName = '6a.csv'
 os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
 
 # Read Mehnert and Steinmann 2017 data to plot
@@ -35,42 +35,42 @@ p6 = df1.iloc[:, 11]
 gholapDataFolderName = 'gholap_data'
 
 # no EM fields (pure TM simulation)
-gholapFileName2 = 'Gholap_3a_z_25_c_0_temp_193_compression.csv'
+gholapFileName2 = 'pureRadialStretchCompression_zeta_15_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
 df2 = pd.read_csv(gholapFileName2,sep=';')
 timeStep2 = df2.iloc[:, 0]
 radial_Stretch2 = df2.iloc[:, 1]
 pressure2 = df2.iloc[:, 2]
 
-gholapFileName3 = 'Gholap_2a_z_25_c_0_temp_293_compression.csv'
+gholapFileName3 = 'pureRadialStretchCompression_zeta_20_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
 df3 = pd.read_csv(gholapFileName3,sep=';')
 timeStep3 = df3.iloc[:, 0]
 radial_Stretch3 = df3.iloc[:, 1]
 pressure3 = df3.iloc[:, 2]
 
-gholapFileName4 = 'Gholap_3a_z_25_c_0_temp_393_compression.csv'
+gholapFileName4 = 'pureRadialStretchCompression_zeta_25_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
 df4 = pd.read_csv(gholapFileName4,sep=';')
 timeStep4 = df4.iloc[:, 0]
 radial_Stretch4 = df4.iloc[:, 1]
 pressure4 = df4.iloc[:, 2]
 
-gholapFileName5 = 'Gholap_3a_z_25_c_0_temp_193_inflation.csv'
+gholapFileName5 = 'pureRadialStretch_zeta_15_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
 df5 = pd.read_csv(gholapFileName5,sep=';')
 timeStep5 = df5.iloc[:, 0]
 radial_Stretch5 = df5.iloc[:, 1]
 pressure5 = df5.iloc[:, 2]
 
-gholapFileName6 = 'Gholap_2a_z_25_c_0_temp_293_inflation.csv'
+gholapFileName6 = 'pureRadialStretch_zeta_20_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
 df6 = pd.read_csv(gholapFileName6,sep=';')
 timeStep6 = df6.iloc[:, 0]
 radial_Stretch6 = df6.iloc[:, 1]
 pressure6 = df6.iloc[:, 2]
 
-gholapFileName7 = 'Gholap_3a_z_25_c_0_temp_393_inflation.csv'
+gholapFileName7 = 'pureRadialStretch_zeta_25_c_0_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
 df7 = pd.read_csv(gholapFileName7,sep=';')
 timeStep7 = df7.iloc[:, 0]
@@ -78,42 +78,42 @@ radial_Stretch7 = df7.iloc[:, 1]
 pressure7 = df7.iloc[:, 2]
 
 # with EM field-dependent shear modulus test results
-gholapFileName8 = 'Gholap_3a_z_25_c_6_temp_193_compression.csv'
+gholapFileName8 = 'pureRadialStretchCompression_zeta_15_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
 df8 = pd.read_csv(gholapFileName8,sep=';')
 timeStep8 = df8.iloc[:, 0]
 radial_Stretch8 = df8.iloc[:, 1]
 pressure8 = df8.iloc[:, 2]
 
-gholapFileName9 = 'Gholap_2a_z_25_c_6_temp_293_compression.csv'
+gholapFileName9= 'pureRadialStretchCompression_zeta_20_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
 df9 = pd.read_csv(gholapFileName9,sep=';')
 timeStep9 = df9.iloc[:, 0]
 radial_Stretch9 = df9.iloc[:, 1]
 pressure9 = df9.iloc[:, 2]
 
-gholapFileName10 = 'Gholap_3a_z_25_c_6_temp_393_compression.csv'
+gholapFileName10 = 'pureRadialStretchCompression_zeta_25_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
 df10 = pd.read_csv(gholapFileName10,sep=';')
 timeStep10 = df10.iloc[:, 0]
 radial_Stretch10 = df10.iloc[:, 1]
 pressure10 = df10.iloc[:, 2]
 
-gholapFileName11 = 'Gholap_3a_z_25_c_6_temp_193_inflation.csv'
+gholapFileName11 = 'pureRadialStretch_zeta_15_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
 df11 = pd.read_csv(gholapFileName11,sep=';')
 timeStep11 = df11.iloc[:, 0]
 radial_Stretch11 = df11.iloc[:, 1]
 pressure11 = df11.iloc[:, 2]
 
-gholapFileName12 = 'Gholap_2a_z_25_c_6_temp_293_inflation.csv'
+gholapFileName12 = 'pureRadialStretch_zeta_20_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
 df12 = pd.read_csv(gholapFileName12,sep=';')
 timeStep12 = df12.iloc[:, 0]
 radial_Stretch12 = df12.iloc[:, 1]
 pressure12 = df12.iloc[:, 2]
 
-gholapFileName13 = 'Gholap_3a_z_25_c_6_temp_393_inflation.csv'
+gholapFileName13 = 'pureRadialStretch_zeta_25_c_6_temp_293_NormalPressure.csv'
 os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
 df13 = pd.read_csv(gholapFileName13,sep=';')
 timeStep13 = df13.iloc[:, 0]
@@ -126,12 +126,12 @@ matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
                          'monospace': ['Computer Modern Typewriter']})
 
 fig2 = plt.figure(figsize=(6, 6), layout="constrained")
-plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\\Theta_e=193$ K', linewidth=1.)
-plt.plot(l2, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\\Theta_e=293$ K', linewidth=1.)
-plt.plot(l3, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\\Theta_e=393$ K', linewidth=1.)
-plt.plot(l4, p4, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\\Theta_e=193$ K', linewidth=1.)
-plt.plot(l5, p5, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\\Theta_e=293$ K', linewidth=1.)
-plt.plot(l6, p6, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\\Theta_e=393$ K', linewidth=1.)
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l3, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$', linewidth=1.)
+plt.plot(l4, p4, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l5, p5, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l6, p6, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$', linewidth=1.)
 
 # no EM fields (pure TM simulation)
 # compression test results data plot
@@ -139,9 +139,9 @@ plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',
 plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',linewidth=1.)
 plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',linewidth=1.)
 # inflation test results data plot
-plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\\Theta_e=193$ K', linewidth=1.)
-plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\\Theta_e=293$ K', linewidth=1.)
-plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\\Theta_e=393$ K', linewidth=1.)
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$', linewidth=1.)
 
 # with EM field-dependent shear modulus test results
 # compression test results data plot
@@ -149,9 +149,9 @@ plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='--',fillstyle='full'
 plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='--',fillstyle='full',linewidth=1.5)
 plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='--',fillstyle='full',linewidth=1.5)
 # inflation test results data plot
-plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\\Theta_e=193$ K', linewidth=1.5)
-plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\\Theta_e=293$ K', linewidth=1.5)
-plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\\Theta_e=393$ K', linewidth=1.5)
+plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$', linewidth=1.5)
+plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$', linewidth=1.5)
+plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$', linewidth=1.5)
 
 ax2 = plt.gca()
 
@@ -159,7 +159,7 @@ ax2 = plt.gca()
 # ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
 
 ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
-ax2.set_ylabel(u"P [kPa]", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
 ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.45), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
 
 ratio = 1
@@ -167,7 +167,7 @@ xleft, xright = ax2.get_xlim()
 ybottom, ytop = ax2.get_ylim()
 # ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
 
-ax2.text(2.0, -200, "$\lambda_z = 1$ \n $\zeta = 2.5$", size=16)
+ax2.text(1.5, -100, "$\lambda_z = 1$", size=16)
 
 ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
 # ax2.grid(linestyle='--', linewidth=.3)
@@ -177,8 +177,8 @@ ax2.margins(0.05)
 # plt.xticks(npy.arange(0.5,3.1,0.5))
 # plt.yticks(npy.arange(-200,101,50))
 ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
-ax2.yaxis.set_major_locator(ticker.MultipleLocator(100))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(50))
 
 # plt.tight_layout(pad=0.)
-fig2.savefig('3a_comparison.png', bbox_inches='tight', dpi=1000)
+fig2.savefig('6a_comparison.png', bbox_inches='tight', dpi=1000)
 plt.show()
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/6b.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/6b.py
new file mode 100755
index 0000000000000000000000000000000000000000..3760187b5e03c8775bb26b8efb01aa6ec42d67c4
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/6b.py
@@ -0,0 +1,255 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2017_data'
+mehnertFileName = '6b.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = 2.0 # values from Mehnert for 2b always at lambda_i = 2
+# data for tests with no EM fields (c=0)
+p1 = df1.iloc[0, 1] # zeta=1.5, lambda_z = 0.5
+p2 = df1.iloc[0, 3] # zeta=2, lambda_z = 0.5
+p3 = df1.iloc[0, 5] # zeta=2.5, lambda_z = 0.5
+p4 = df1.iloc[4, 1] # zeta=1.5, lambda_z = 1.5
+p5 = df1.iloc[4, 3] # zeta=2, lambda_z = 1.5
+p6 = df1.iloc[4, 5] # zeta=2.5, lambda_z = 1.5
+p7 = df1.iloc[6, 1] # zeta=1.5, lambda_z = 2.
+p8 = df1.iloc[6, 3] # zeta=2, lambda_z = 2.
+p9 = df1.iloc[6, 5] # zeta=2.5, lambda_z = 2.
+# data for tests with EM fields (c=1)
+p10 = df1.iloc[0, 7] # zeta=1.5, lambda_z = 0.5
+p11 = df1.iloc[0, 9] # zeta=2, lambda_z = 0.5
+p12 = df1.iloc[0, 11] # zeta=2.5, lambda_z = 0.5
+p13 = df1.iloc[4, 7] # zeta=1.5, lambda_z = 1.5
+p14 = df1.iloc[4, 9] # zeta=2, lambda_z = 1.5
+p15 = df1.iloc[4, 11] # zeta=2.5, lambda_z = 1.5
+p16 = df1.iloc[6, 7] # zeta=1.5, lambda_z = 2.
+p17 = df1.iloc[6, 9] # zeta=2, lambda_z = 2.
+p18 = df1.iloc[6, 11] # zeta=2.5, lambda_z = 2.
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName2 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+gholapFileName4 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+gholapFileName7 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName7 + ' ' + os.getcwd())
+df7 = pd.read_csv(gholapFileName7,sep=';')
+timeStep7 = df7.iloc[:, 0]
+radial_Stretch7 = df7.iloc[:, 1]
+pressure7 = df7.iloc[:, 2]
+
+gholapFileName8 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName8 + ' ' + os.getcwd())
+df8 = pd.read_csv(gholapFileName8,sep=';')
+timeStep8 = df8.iloc[:, 0]
+radial_Stretch8 = df8.iloc[:, 1]
+pressure8 = df8.iloc[:, 2]
+
+gholapFileName9 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName9 + ' ' + os.getcwd())
+df9 = pd.read_csv(gholapFileName9,sep=';')
+timeStep9 = df9.iloc[:, 0]
+radial_Stretch9 = df9.iloc[:, 1]
+pressure9 = df9.iloc[:, 2]
+
+gholapFileName10 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName10 + ' ' + os.getcwd())
+df10 = pd.read_csv(gholapFileName10,sep=';')
+timeStep10 = df10.iloc[:, 0]
+radial_Stretch10 = df10.iloc[:, 1]
+pressure10 = df10.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+# gholapFileName11 = 'combinedRadialAxialStretch_lambda_z_50_zeta_15_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName11 + ' ' + os.getcwd())
+# df11 = pd.read_csv(gholapFileName11,sep=';')
+# timeStep11 = df11.iloc[:, 0]
+# radial_Stretch11 = df11.iloc[:, 1]
+# pressure11 = df11.iloc[:, 2]
+
+# gholapFileName12 = 'combinedRadialAxialStretch_lambda_z_50_zeta_20_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName12 + ' ' + os.getcwd())
+# df12 = pd.read_csv(gholapFileName12,sep=';')
+# timeStep12 = df12.iloc[:, 0]
+# radial_Stretch12 = df12.iloc[:, 1]
+# pressure12 = df12.iloc[:, 2]
+
+# gholapFileName13 = 'combinedRadialAxialStretch_lambda_z_50_zeta_25_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName13 + ' ' + os.getcwd())
+# df13 = pd.read_csv(gholapFileName13,sep=';')
+# timeStep13 = df13.iloc[:, 0]
+# radial_Stretch13 = df13.iloc[:, 1]
+# pressure13 = df13.iloc[:, 2]
+
+# gholapFileName14 = 'combinedRadialAxialStretch_lambda_z_150_zeta_15_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName14 + ' ' + os.getcwd())
+# df14 = pd.read_csv(gholapFileName14,sep=';')
+# timeStep14 = df14.iloc[:, 0]
+# radial_Stretch14 = df14.iloc[:, 1]
+# pressure14 = df14.iloc[:, 2]
+
+# gholapFileName15 = 'combinedRadialAxialStretch_lambda_z_150_zeta_20_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName15 + ' ' + os.getcwd())
+# df15 = pd.read_csv(gholapFileName15,sep=';')
+# timeStep15 = df15.iloc[:, 0]
+# radial_Stretch15 = df15.iloc[:, 1]
+# pressure15 = df15.iloc[:, 2]
+
+# gholapFileName16 = 'combinedRadialAxialStretch_lambda_z_150_zeta_25_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName16 + ' ' + os.getcwd())
+# df16 = pd.read_csv(gholapFileName16,sep=';')
+# timeStep16 = df16.iloc[:, 0]
+# radial_Stretch16 = df16.iloc[:, 1]
+# pressure16 = df16.iloc[:, 2]
+
+# gholapFileName17 = 'combinedRadialAxialStretch_lambda_z_200_zeta_15_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName17 + ' ' + os.getcwd())
+# df17 = pd.read_csv(gholapFileName17,sep=';')
+# timeStep17 = df17.iloc[:, 0]
+# radial_Stretch17 = df17.iloc[:, 1]
+# pressure17 = df17.iloc[:, 2]
+
+# gholapFileName18 = 'combinedRadialAxialStretch_lambda_z_200_zeta_20_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName18 + ' ' + os.getcwd())
+# df18 = pd.read_csv(gholapFileName18,sep=';')
+# timeStep18 = df18.iloc[:, 0]
+# radial_Stretch18 = df18.iloc[:, 1]
+# pressure18 = df18.iloc[:, 2]
+
+# gholapFileName19 = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_6_temp_293_NormalPressure.csv'
+# os.system('cp ' + gholapDataFolderName + '/' + gholapFileName19 + ' ' + os.getcwd())
+# df19 = pd.read_csv(gholapFileName19,sep=';')
+# timeStep19 = df19.iloc[:, 0]
+# radial_Stretch19 = df19.iloc[:, 1]
+# pressure19 = df19.iloc[:, 2]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+# no EM fields
+plt.plot(l1, p1, marker='o',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p2, marker='X',c='red',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p3, marker='s',c='black',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\zeta=2.5$', linewidth=1.)
+plt.plot(l1, p4, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p5, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p6, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p7, marker='o',c='blue',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p8, marker='X',c='red',linestyle='none',fillstyle='full', linewidth=1.)
+plt.plot(l1, p9, marker='s',c='black',linestyle='none',fillstyle='full', linewidth=1.)
+# with EM fields
+plt.plot(l1, p10, marker='o',c='blue',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=1.5$', linewidth=1.)
+plt.plot(l1, p11, marker='X',c='red',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2$', linewidth=1.)
+plt.plot(l1, p12, marker='s',c='black',linestyle='none', fillstyle='none', label='Mehnert [2017] $c=1$ A, $\zeta=2.5$', linewidth=1.)
+plt.plot(l1, p13, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p14, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p15, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p16, marker='o',c='blue',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p17, marker='X',c='red',linestyle='none', fillstyle='none', linewidth=1.)
+plt.plot(l1, p18, marker='s',c='black',linestyle='none', fillstyle='none', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+plt.plot(radial_Stretch2,pressure2/1.e3,c='blue',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=1.5$',linewidth=1.)
+plt.plot(radial_Stretch3,pressure3/1.e3,c='red',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2$',linewidth=1.)
+plt.plot(radial_Stretch4,pressure4/1.e3,c='black',linestyle='-',fillstyle='full',label='Gholap [2024] $c=0$ A, $\zeta=2.5$',linewidth=1.)
+plt.plot(radial_Stretch5,pressure5/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch6,pressure6/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch7,pressure7/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch8,pressure8/1.e3,c='blue',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch9,pressure9/1.e3,c='red',linestyle='-',fillstyle='full', linewidth=1.)
+plt.plot(radial_Stretch10,pressure10/1.e3,c='black',linestyle='-',fillstyle='full', linewidth=1.)
+
+# with EM field-dependent shear modulus test results
+# plt.plot(radial_Stretch11,pressure11/1.e3,c='blue',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=1.5$',linewidth=1.5)
+# plt.plot(radial_Stretch12,pressure12/1.e3,c='red',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2$',linewidth=1.5)
+# plt.plot(radial_Stretch13,pressure13/1.e3,c='black',linestyle='--',fillstyle='full',label='Gholap [2024] $c=1$ A, $\zeta=2.5$',linewidth=1.5)
+# plt.plot(radial_Stretch14,pressure14/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch15,pressure15/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch16,pressure16/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch17,pressure17/1.e3,c='blue',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch18,pressure18/1.e3,c='red',linestyle='--',fillstyle='full', linewidth=1.5)
+# plt.plot(radial_Stretch19,pressure19/1.e3,c='black',linestyle='--',fillstyle='full', linewidth=1.5)
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.3), ncols=2, frameon=False, fontsize=9, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+# ax2.text(2.0, -150, "$\lambda_i = 2$", size=16)
+# ax2.text(1.2, 10, "$\\alpha_e = 0.15$, $m_e = \mu_0^2$ T$^2$", size=12)
+ax2.text(1.7, -1150, "$\lambda_z=0.5$", size=16)
+ax2.text(1.5, 690, "$\lambda_z=1.5$", size=16)
+ax2.text(0.7, 990, "$\lambda_z=2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.1))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(500))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('6b_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/8a.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/8a.py
new file mode 100755
index 0000000000000000000000000000000000000000..2a79a0e0c9643ab7c646d376f0f01ea48d0e81af
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/8a.py
@@ -0,0 +1,159 @@
+import numpy as npy
+import matplotlib
+import matplotlib.pyplot as plt
+import pandas as pd
+import openpyxl
+import matplotlib.ticker as ticker
+import pickle
+import os
+from utils import *
+
+# from scipy.optimize import curve_fit
+
+mehnertDataFolderName = 'mehnert_steinmann_2017_data'
+mehnertFileName = '8a.csv'
+os.system('cp ' + mehnertDataFolderName + '/' + mehnertFileName + ' ' + os.getcwd())
+
+# Read Mehnert and Steinmann 2017 data to plot
+df1 = pd.read_csv(mehnertFileName)
+# print(df1)
+
+l1 = df1.iloc[:, 0]
+p1 = df1.iloc[:, 1]
+l2 = df1.iloc[:, 2]
+p2 = df1.iloc[:, 3]
+
+# ratio of external to internal radius of conducting material
+zeta_ = [1.5, 2.0, 2.5]
+
+# Read Gholap et al. data to plot
+gholapDataFolderName = 'gholap_data'
+
+# no EM fields (pure TM simulation)
+gholapFileName1 = 'pureRadialStretch_zeta_15_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName1 + ' ' + os.getcwd())
+df1 = pd.read_csv(gholapFileName1,sep=';')
+timeStep1 = df1.iloc[:, 0]
+radial_Stretch1 = df1.iloc[:, 1]
+pressure1 = df1.iloc[:, 2]
+
+gholapFileName2 = 'pureRadialStretch_zeta_20_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName2 + ' ' + os.getcwd())
+df2 = pd.read_csv(gholapFileName2,sep=';')
+timeStep2 = df2.iloc[:, 0]
+radial_Stretch2 = df2.iloc[:, 1]
+pressure2 = df2.iloc[:, 2]
+
+gholapFileName3 = 'pureRadialStretch_zeta_25_c_0_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName3 + ' ' + os.getcwd())
+df3 = pd.read_csv(gholapFileName3,sep=';')
+timeStep3 = df3.iloc[:, 0]
+radial_Stretch3 = df3.iloc[:, 1]
+pressure3 = df3.iloc[:, 2]
+
+# with EM field-dependent shear modulus test results
+gholapFileName4 = 'pureRadialStretch_zeta_15_c_6_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName4 + ' ' + os.getcwd())
+df4 = pd.read_csv(gholapFileName4,sep=';')
+timeStep4 = df4.iloc[:, 0]
+radial_Stretch4 = df4.iloc[:, 1]
+pressure4 = df4.iloc[:, 2]
+
+gholapFileName5 = 'pureRadialStretch_zeta_20_c_6_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName5 + ' ' + os.getcwd())
+df5 = pd.read_csv(gholapFileName5,sep=';')
+timeStep5 = df5.iloc[:, 0]
+radial_Stretch5 = df5.iloc[:, 1]
+pressure5 = df5.iloc[:, 2]
+
+gholapFileName6 = 'pureRadialStretch_zeta_25_c_6_temp_293_NormalPressure.csv'
+os.system('cp ' + gholapDataFolderName + '/' + gholapFileName6 + ' ' + os.getcwd())
+df6 = pd.read_csv(gholapFileName6,sep=';')
+timeStep6 = df6.iloc[:, 0]
+radial_Stretch6 = df6.iloc[:, 1]
+pressure6 = df6.iloc[:, 2]
+
+lambda_i = 2.00
+#print(npy.isclose(radial_Stretch1, lambda_i, atol=0.01).any())
+n1_, = npy.where(npy.isclose(radial_Stretch1, lambda_i, rtol=0.01))
+#print(n1_)
+if (radial_Stretch1[n1_[0]]>lambda_i):
+    press1 = pressure1[n1_[0]]
+else:
+    press1 = pressure1[n1_[0]+1]
+n2_, = npy.where(npy.isclose(radial_Stretch2, lambda_i, rtol=0.01))
+if (radial_Stretch2[n2_[0]]>lambda_i):
+    press2 = pressure2[n2_[0]]
+else:
+    press2 = pressure2[n2_[0]+1]
+n3_, = npy.where(npy.isclose(radial_Stretch3, lambda_i, rtol=0.01))
+if (radial_Stretch3[n3_[0]]>lambda_i):
+    press3 = pressure3[n3_[0]]
+else:
+    press3 = pressure3[n3_[0]+1]
+n4_, = npy.where(npy.isclose(radial_Stretch4, lambda_i, rtol=0.01))
+if (radial_Stretch4[n4_[0]]>lambda_i):
+    press4 = pressure4[n4_[0]]
+else:
+    press4 = pressure4[n4_[0]+1]
+n5_, = npy.where(npy.isclose(radial_Stretch5, lambda_i, rtol=0.01))
+if (radial_Stretch5[n5_[0]]>lambda_i):
+    press5 = pressure5[n5_[0]]
+else:
+    press5 = pressure5[n5_[0]+1]
+n6_, = npy.where(npy.isclose(radial_Stretch6, lambda_i, rtol=0.01))
+if (radial_Stretch6[n6_[0]]>lambda_i):
+    press6 = pressure6[n6_[0]]
+else:
+    press6 = pressure6[n6_[0]+1]
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig2 = plt.figure(figsize=(6, 6), layout="constrained")
+plt.plot(l1, p1, marker='X',c='blue',linestyle='none',fillstyle='full', label='Mehnert [2017] $c=0$ A, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(l2, p2, marker='X',c='blue',linestyle='none',fillstyle='none', label='Mehnert [2017] $c=1$ A, $\Theta_e=293$ K', linewidth=1.)
+
+# no EM fields (pure TM simulation)
+# inflation test results data plot
+plt.plot(zeta_[0],press1/1.e3,marker='X',c='red',linestyle='none',fillstyle='full',label='Gholap [2024] $c=0$ A, $\Theta_e=293$ K', linewidth=1.)
+plt.plot(zeta_[1],press2/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+plt.plot(zeta_[2],press3/1.e3,marker='X',c='red',linestyle='none',fillstyle='full')
+
+# with EM field-dependent shear modulus test results
+# inflation test results data plot
+plt.plot(zeta_[0],press4/1.e3,marker='X',c='red',linestyle='none',fillstyle='none',label='Gholap [2024] $c=1$ A, $\Theta_e=293$ K', linewidth=1.5)
+plt.plot(zeta_[1],press5/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+plt.plot(zeta_[2],press6/1.e3,marker='X',c='red',linestyle='none',fillstyle='none')
+
+ax2 = plt.gca()
+
+# popt, pcov = curve_fit(fit_func_,l1,p1)
+# ax2.plot(l1,fit_func_(l1,*popt),'r--',label='Curve fit',linewidth=2.)
+
+ax2.set_xlabel(u"$\zeta$", fontsize=16)
+ax2.set_ylabel(u"$\overline{N}$ [kPa]", fontsize=16)
+ax2.legend(loc='lower center', bbox_to_anchor=(0.5, -0.25), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax2.get_xlim()
+ybottom, ytop = ax2.get_ylim()
+# ax2.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+ax2.text(2.15, 75, "$\lambda_z = 1$, \n $\lambda_i = 2$", size=16)
+
+ax2.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax2.grid(linestyle='--', linewidth=.3)
+ax2.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax2.margins(0.05)
+# plt.xticks(npy.arange(0.5,3.1,0.5))
+# plt.yticks(npy.arange(-200,101,50))
+ax2.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax2.yaxis.set_major_locator(ticker.MultipleLocator(20))
+
+# plt.tight_layout(pad=0.)
+fig2.savefig('8a_comparison.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/Steinmann_MTM_Benchmarks.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/Steinmann_MTM_Benchmarks.py
index 16eb44f39022c0e868db469c9c9c8f81b2483bca..8d1773a92f44c4c7ced293dbc6d634c75eff6696 100644
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/Steinmann_MTM_Benchmarks.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/Steinmann_MTM_Benchmarks.py
@@ -22,7 +22,7 @@ with open("inputdatafile.txt", "rb") as data:
   thermalSource = pickle.load(data)
   applyPressureBCForRadialStretch = pickle.load(data)
   applyPressureBCWithAxialStretch = pickle.load(data)
-  pressure = pickle.load(data)
+  Pmax = pickle.load(data)
   tApplied = pickle.load(data)
   current = pickle.load(data)
   lambda_z = pickle.load(data)
@@ -40,7 +40,7 @@ print('flagEMFieldDependentShearModulus: ', flagEMFieldDependentShearModulus)
 print('thermalSource: ', thermalSource)
 print('applyPressureBCForRadialStretch: ', applyPressureBCForRadialStretch)
 print('applyPressureBCWithAxialStretch: ', applyPressureBCWithAxialStretch)
-print('pressure: ', pressure)
+print('Pmax: ', Pmax)
 print('tApplied: ', tApplied) 
 print('current: ', current)
 print('lambda_z: ', lambda_z)
@@ -350,7 +350,7 @@ mysolver.snlManageTimeStep(25, 10, 2, 10)
 # BC
 
 # Mechanical BC
-#pressure = 47.e3 # Pa
+#Pmax = 47.e3 # Pa
 
 # getting radial stretch lambda_i with fixing axial stretch lambda_z = 1
 if(applyPressureBCForRadialStretch):
@@ -377,7 +377,7 @@ if(applyPressureBCForRadialStretch):
   mysolver.displacementBC("Face",SurfVacOutOuterShell,2,0.0)
 
   # pressure BC to get radial stretch
-  cyclicFunctionPressure=cycleFunctionTime(0., 0., ftime/10., 0., ftime, pressure); # Pa
+  cyclicFunctionPressure=cycleFunctionTime(0., 0., ftime/10., 0., ftime, Pmax); # Pa
   mysolver.pressureOnPhysicalGroupBC("Face",SmpInnerShell,cyclicFunctionPressure)
   
 # combined axial stretch lambda_z with radial stretch lambda_i = 1 or 2
@@ -402,7 +402,7 @@ elif(applyPressureBCWithAxialStretch):
   mysolver.displacementBC("Face",SurfVacOutBottom, 2, cyclicFunctionDisp2)
 
   # pressure BC to get radial stretch
-  cyclicFunctionPressure=cycleFunctionTime(0., 0., 2.0*ftime/10., 0., ftime, pressure); # Pa
+  cyclicFunctionPressure=cycleFunctionTime(0., 0., 2.0*ftime/10., 0., ftime, Pmax); # Pa
   mysolver.pressureOnPhysicalGroupBC("Face",SmpInnerShell,cyclicFunctionPressure)
   
   # get rid of rigid body modes
@@ -558,6 +558,14 @@ mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 0, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 1, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 2, 1);
 
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefTop, 2, 1);
+
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 2, 1);
+
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,0,1);
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,1,1);
 mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,2,1);
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/cylinder.geo b/dG3D/benchmarks/steinmann_MTM_Benchmarks/cylinder.geo
deleted file mode 100644
index 098f51636b9d18159fbc6c9ba92b186e8f024db6..0000000000000000000000000000000000000000
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/cylinder.geo
+++ /dev/null
@@ -1,173 +0,0 @@
-SetFactory("OpenCASCADE");
-
-Mesh.Optimize = 1;
-
-cm = 1e-2; // Unit
-
-pp  = "Input/10Geometric dimensions/0";
-
-close_menu = 1;
-colorpp = "Ivory";
-
-// Smp
-RintSMP = 1*cm;
-RextSMP = 1.5*cm;
-H = 0.5*cm;
-
-ECORE = 1000;
-REFCORETOP = 11111;
-REFCOREOUT = 11113;
-REFCOREIN = 11114;
-REFCOREBOTTOM = 11115;
-REFCOREPOINTTOPEXTERIOR_1 = 11116;
-REFCOREPOINTTOPEXTERIOR_2 = 11117;
-//REFCOREPOINTTOPEXTERIOR_3 = 11118;
-//REFCOREPOINTTOPEXTERIOR_4 = 11119;
-REFCOREPOINTTOPINTERIOR_1 = 11120;
-REFCOREPOINTTOPINTERIOR_2 = 11121;
-//REFCOREPOINTTOPINTERIOR_3 = 11122;
-//REFCOREPOINTTOPINTERIOR_4 = 11123;
-REFCOREPOINTBOTTOMEXTERIOR_1 = 11124;
-REFCOREPOINTBOTTOMEXTERIOR_2 = 11125;
-//REFCOREPOINTBOTTOMEXTERIOR_3 = 11126;
-//REFCOREPOINTBOTTOMEXTERIOR_4 = 11127;
-REFCOREPOINTBOTTOMINTERIOR_1 = 11128;
-REFCOREPOINTBOTTOMINTERIOR_2 = 11129;
-//REFCOREPOINTBOTTOMINTERIOR_3 = 11130;
-//REFCOREPOINTBOTTOMINTERIOR_4 = 11131;
-SURFCORECUT_1 = 11132;
-SURFCORECUT_2 = 11133;
-SURFCORECUT_3 = 11134;
-SURFCORECUT_4 = 11135;
-
-REFCOREIN_1= 11136;
-REFCOREIN_2= 11137;
-REFCOREIN_3= 11138;
-REFCOREIN_4= 11139;
-
-// outer cylinder for Smp 
-v()+=newv; Cylinder(newv) = {0,-H/2,0, 0,H,0, RextSMP};
-// inner cylinder for Smp
-v()+=newv; Cylinder(newv) = {0,-H/2,0, 0,H,0, RintSMP};
-	
-diff() = BooleanDifference{ Volume{ v(0) }; Delete;}{ Volume{ v(1) }; Delete; };
-//Printf("volumes  ",diff());
-
-// Divide Smp cylinder into 4 parts (quarters)
-b1=newv;
-Box(b1) = {-RextSMP, -H/2, -0, RextSMP, H, RextSMP};
-
-t1=newv;
-BooleanIntersection(t1) = { Volume{diff(0)}; }{ Volume{b1}; Delete; };
-
-b2=newv;
-Box(b2) = {-RextSMP, -H/2, -RextSMP, RextSMP, H, RextSMP};
-
-t2=newv;
-BooleanIntersection(t2) = { Volume{diff(0)}; }{ Volume{b2}; Delete; };
-
-b3=newv;
-Box(b3) = {0, -H/2, -RextSMP, RextSMP, H, RextSMP};
-
-t3=newv;
-BooleanIntersection(t3) = { Volume{diff(0)}; }{ Volume{b3}; Delete; };
-
-b4=newv;
-Box(b4) = {RextSMP, H/2, RextSMP, -RextSMP, -H, -RextSMP};
-
-t4=newv;
-BooleanIntersection(t4) = { Volume{diff(0)}; Delete; }{ Volume{b4}; Delete; };
-
-Coherence; // Remove all duplicate elementary entities
-
-surfCore_[] = Abs(Boundary{ Volume{t1,t2,t3,t4}; });
-//Printf("SMP core surface ",surfCore_());
-
-// Transfinite meshing for SMP
-//=======================================================================================================
-// ------Top surface of SMP---------
-curvesTopSurf_[] = Abs(Boundary{ Surface{ surfCore_(3),surfCore_(7),surfCore_(13),surfCore_(19) }; });
-//Printf("Curves Top surface: ",curvesTopSurf_());
-
-// cylindrical curves
-Transfinite Curve{curvesTopSurf_(0),curvesTopSurf_(2),curvesTopSurf_(5),curvesTopSurf_(7),curvesTopSurf_(9),curvesTopSurf_(11),curvesTopSurf_(13),curvesTopSurf_(15)} = 14;
-// line curves 
-Transfinite Curve{curvesTopSurf_(3),curvesTopSurf_(4),curvesTopSurf_(8),curvesTopSurf_(12)} = 5;
-
-// ---------Bottom surface of SMP---------
-curvesBottomSurf_[] = Abs(Boundary{ Surface{ surfCore_(1),surfCore_(10),surfCore_(16),surfCore_(21) }; });
-//Printf("Curves Bottom surface: ",curvesBottomSurf_());
-
-// cylindrical curves
-Transfinite Curve{curvesBottomSurf_(0),curvesBottomSurf_(2),curvesBottomSurf_(5),curvesBottomSurf_(7),curvesBottomSurf_(9),curvesBottomSurf_(11),curvesBottomSurf_(13),curvesBottomSurf_(15)} = 14;
-// line curves
-Transfinite Curve{curvesBottomSurf_(3),curvesBottomSurf_(4),curvesBottomSurf_(8),curvesBottomSurf_(12)} = 5;
-
-// ---------Outer cylindrical surface of SMP---------
-curvesSurfOut_[] = Abs(Boundary{ Surface{ surfCore_(0),surfCore_(6),surfCore_(12),surfCore_(18) }; });
-//Printf("Curves surface Out: ",curvesSurfOut_());
-
-// line curves
-Transfinite Curve{curvesSurfOut_(3),curvesSurfOut_(5),curvesSurfOut_(9),curvesSurfOut_(13)} = 2;
-
-// ---------Inner cylindrical surface of SMP---------
-curvesSurfIn_[] = Abs(Boundary{ Surface{ surfCore_(5),surfCore_(11),surfCore_(17),surfCore_(23) }; });
-//Printf("Curves surface In: ",curvesSurfIn_());
-
-// line curves
-Transfinite Curve{curvesSurfIn_(2),curvesSurfIn_(5),curvesSurfIn_(9),curvesSurfIn_(13)} = 2;
-
-Transfinite Surface{surfCore_(3),surfCore_(7),surfCore_(13),surfCore_(19)};
-Transfinite Surface{surfCore_(1),surfCore_(10),surfCore_(16),surfCore_(21)};
-Transfinite Surface{surfCore_(0),surfCore_(6),surfCore_(12),surfCore_(18)};
-Transfinite Surface{surfCore_(5),surfCore_(11),surfCore_(17),surfCore_(23)};
-// ---------Cut surfaces of SMP---------
-Transfinite Surface{surfCore_(2),surfCore_(8),surfCore_(14),surfCore_(4)};
-//---------Generate hexahedron mesh
-Recombine Surface{surfCore_(3),surfCore_(7),surfCore_(13),surfCore_(19)};
-Recombine Surface{surfCore_(1),surfCore_(10),surfCore_(16),surfCore_(21)};
-Recombine Surface{surfCore_(0),surfCore_(6),surfCore_(12),surfCore_(18)};
-Recombine Surface{surfCore_(5),surfCore_(11),surfCore_(17),surfCore_(23)};
-// ---------Cut surfaces of SMP---------
-Recombine Surface{surfCore_(2),surfCore_(8),surfCore_(14),surfCore_(4)};
-//---------
-Transfinite Volume{t1,t2,t3,t4};
-Recombine Volume{t1,t2,t3,t4};
-//=======================================================================================================
-
-//Physical Surface(REFCOREIN_1)={surfCore_(5)};
-//Physical Surface(REFCOREIN_2)={surfCore_(11)};
-//Physical Surface(REFCOREIN_3)={surfCore_(17)};
-//Physical Surface(REFCOREIN_4)={surfCore_(23)};
-
-// SMP
-Physical Volume(ECORE) = {t1,t2,t3,t4};
-Physical Surface(REFCORETOP)= {surfCore_(3),surfCore_(7),surfCore_(13),surfCore_(19)};
-Physical Surface(REFCOREBOTTOM)= {surfCore_(1),surfCore_(10),surfCore_(16),surfCore_(21)};
-
-Physical Surface(REFCOREOUT)= {surfCore_(0),surfCore_(6),surfCore_(12),surfCore_(18)};
-Physical Surface(REFCOREIN)= {surfCore_(5),surfCore_(11),surfCore_(17),surfCore_(23)};
-
-Physical Surface(SURFCORECUT_1) = {surfCore_(2)};
-Physical Surface(SURFCORECUT_2) = {surfCore_(8)};
-Physical Surface(SURFCORECUT_3) = {surfCore_(14)};
-Physical Surface(SURFCORECUT_4) = {surfCore_(4)};
-
-pts1() = PointsOf {Surface { surfCore_(3),surfCore_(7),surfCore_(13),surfCore_(19) }; };
-//Printf("SMP points top surface ",pts1());
-Physical Point(REFCOREPOINTTOPEXTERIOR_1)= pts1(0);
-Physical Point(REFCOREPOINTTOPEXTERIOR_2)= pts1(1);
-Physical Point(REFCOREPOINTTOPINTERIOR_1)= pts1(2);
-Physical Point(REFCOREPOINTTOPINTERIOR_2)= pts1(3);
-
-pts2() = PointsOf {Surface { surfCore_(1),surfCore_(10),surfCore_(16),surfCore_(21) }; };
-//Printf("SMP points bottom surface ",pts2());
-Physical Point(REFCOREPOINTBOTTOMEXTERIOR_1)= pts2(0);
-Physical Point(REFCOREPOINTBOTTOMEXTERIOR_2)= pts2(1);
-Physical Point(REFCOREPOINTBOTTOMINTERIOR_1)= pts2(2);
-Physical Point(REFCOREPOINTBOTTOMINTERIOR_2)= pts2(3);
-
-//lcSMP  = RextSMP/12;
-//Characteristic Length { PointsOf{ Volume{t1,t2,t3,t4}; } } = lcSMP;
-Recursive Color SteelBlue {Volume{t1,t2,t3,t4};}
-
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/2a.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/2a.csv
old mode 100644
new mode 100755
index 9bf4739801edeb9959e4ba33dd943d2788ce2dba..c527aae616b73e8c9662491a29921a431977a2a6
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/2a.csv
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/2a.csv
@@ -7,6 +7,3 @@ zeta=1.5,,zeta=2,,zeta=2.5,,zeta=1.5 c=1,,zeta=2 c=1,,zeta=2.5 c=1,
 1.75,32.9081632653061,1.75,51.2755102040816,1.55263157894737,53.3566058002148,1.53328173374613,34.9932078094395,1.25077399380805,32.4998420420799,1.13854489164087,22.828868389461
 2.0015479876161,35.4078473494661,2.0015479876161,56.8364187780375,1.80030959752322,64.0203449800973,1.83513931888545,41.0540532002274,1.6609907120743,56.905920262842,1.42879256965944,53.3818790674164
 2.24922600619195,36.8879130599608,2.24922600619195,60.3573008150628,2.04798761609907,71.6228596701838,2.13312693498452,44.0544638908195,1.95510835913313,65.5193656409932,1.9125386996904,78.2831553674101
-2.50077399380805,37.8569848992228,2.50077399380805,62.8569848992228,2.29953560371517,76.6735641625071,2.43111455108359,45.5242623365135,2.3266253869969,71.5659948189802,2.42724458204334,89.9128072281544
-2.75232198142415,38.3158526568522,2.7484520123839,64.3370506097175,2.55108359133127,80.1936564099324,2.73684210526316,46.4822771213748,2.62461300309597,74.0562014279396,2.80263157894737,94.938238453276
-3,38.7755102040816,3,65.3061224489796,3,84.1836734693877,3,46.9387755102041,3,76.0204081632653,3,96.4285714285714
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/4a.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/4a.csv
old mode 100644
new mode 100755
index 24dd5e8e01eceace0eb78fb2c5772d7905fb2bfe..ca54d137264ec28d32f68375b49eccf78f7cd8e1
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/4a.csv
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/4a.csv
@@ -2,4 +2,3 @@ c=0 Te= 193,,c=0 Te= 293,,c=0 Te=393,,c=1 Te=193,,c=1 Te=293,,c=1 Te=393,
 1.50067567567568,30.5025996533795,1.50067567567568,35.8752166377816,1.50067567567568,41.421143847487,1.50067567567568,36.9150779896014,1.49831081081081,43.3275563258232,1.50067567567568,49.7400346620451
 1.99966216216216,49.3934142114385,2.00202702702703,57.36568457539,1.99966216216216,65.3379549393414,1.99966216216216,58.2322357019064,2.00202702702703,67.0710571923744,1.99966216216216,76.0831889081456
 2.50101351351351,61.8717504332756,2.50101351351351,71.0571923743501,2.50101351351351,80.0693240901213,2.50101351351351,71.57712305026,2.50101351351351,81.4558058925477,2.50101351351351,91.5077989601387
-3,70.3639514731369,3,79.896013864818,3,89.4280762564991,3,80.4159445407279,3,90.8145580589255,3,101.03986135182
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.csv
new file mode 100755
index 0000000000000000000000000000000000000000..7701373724f9ed421580d8056af6be6c5d6f4ce6
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.csv
@@ -0,0 +1,9 @@
+zeta=1.5 c=0,,zeta=2 c=0,,zeta=2.5 c=0,,zeta=1.5 c=1,,zeta=2 c=1,,zeta=2.5 c=1,
+0.5,-79.5527156549521,0.5,-92.9712460063898,0.5,-98.0830670926518,0.5,-99.3610223642173,0.5,-113.418530351438,0.503556187766714,-118.5303514377
+0.748933143669986,-32.9073482428115,0.7524893314367,-40.5750798722045,0.7524893314367,-44.408945686901,1.00142247510669,0.31948881789134,0.7524893314367,-49.520766773163,0.7524893314367,-52.7156549520767
+1.00142247510669,-0.319488817891454,1.00142247510669,0.31948881789134,1.00142247510669,0.31948881789134,1.25035561877667,28.4345047923322,1.00142247510669,0.31948881789134,1.00142247510669,0.31948881789134
+1.25035561877667,23.961661341853,1.25035561877667,34.185303514377,1.25035561877667,39.9361022364217,1.50284495021337,49.5207667731629,1.25035561877667,40.5750798722045,1.25035561877667,45.0479233226837
+1.49928876244666,40.5750798722045,1.49928876244666,62.9392971246006,1.49928876244666,75.0798722044728,1.75177809388336,64.2172523961661,1.50284495021337,73.1629392971246,1.49928876244666,86.5814696485623
+1.75177809388336,53.3546325878594,1.75177809388336,85.9424920127795,1.75177809388336,107.02875399361,2.00071123755334,75.7188498402556,1.75177809388336,100.638977635783,1.75177809388336,122.364217252396
+2.00426742532006,62.9392971246006,2.00071123755334,105.750798722045,2.00426742532006,135.143769968051,2.24964438122333,83.3865814696485,2.00071123755334,123.003194888179,2.00071123755334,153.674121405751
+2.25320056899004,69.3290734824281,2.25320056899004,121.725239616613,2.25320056899004,159.424920127796,,,2.25320056899004,140.894568690096,2.23186344238976,179.233226837061
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.jpg b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..253597e4ee7ed34392f847a9d23f375931ce496c
Binary files /dev/null and b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6a.jpg differ
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.csv
new file mode 100644
index 0000000000000000000000000000000000000000..da0b15764b5524db452f50c28b92ef97d73a7f38
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.csv
@@ -0,0 +1,8 @@
+zeta=1.5 c=0,,zeta=2 c=0,,zeta=2.5 c=0,,zeta=1.5 c=1,,zeta=2 c=1,,zeta=2.5 c=1,
+0.497247706422018,-290.423861852434,0.497247706422018,-836.734693877551,0.497247706422018,-1585.55729984301,0.499388379204893,-337.519623233909,0.497247706422018,-926.216640502355,0.499388379204893,-1717.42543171115
+0.747706422018349,-36.1067503924648,0.749847094801223,-153.846153846154,0.749847094801223,-351.648351648352,0.749847094801223,-36.1067503924648,0.747706422018349,-172.684458398745,0.749847094801223,-375.19623233909
+0.998165137614679,62.7943485086339,0.998165137614679,109.890109890109,1.00030581039755,138.147566718995,0.998165137614679,72.213500784929,1.00030581039755,119.309262166405,1.00030581039755,156.985871271585
+1.25076452599388,124.018838304552,1.24862385321101,265.306122448979,1.25076452599388,420.722135007849,1.25076452599388,147.56671899529,1.24862385321101,298.273155416012,1.25076452599388,472.527472527472
+1.50122324159021,166.40502354788,1.49908256880734,378.335949764521,1.50122324159021,632.653061224489,1.50122324159021,199.372056514913,1.49908256880734,430.141287284144,1.49908256880734,703.296703296703
+1.74954128440367,204.081632653061,1.74954128440367,472.527472527472,1.75168195718654,811.616954474097,1.74954128440367,246.467817896389,1.74954128440367,543.171114599686,1.74954128440367,896.389324960753
+2,237.048665620094,2,566.718995290423,2,971.742543171114,2.00214067278287,288.854003139717,2,642.072213500785,2.00214067278287,1075.35321821036
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.jpg b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..780d94f4a89562d97b11272c316883d5fff1ce2f
Binary files /dev/null and b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/6b.jpg differ
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.csv
new file mode 100755
index 0000000000000000000000000000000000000000..1059fba2a10f8fdb5e765bd54c73b65f361fba0b
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.csv
@@ -0,0 +1,4 @@
+c=0 T=293,,c=1 T=293,
+1.5,62.5,1.5,75.5681818181818
+2,105.681818181818,2,123.011363636364
+2.5,134.659090909091,2.5,153.409090909091
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.jpg b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..409ebe5db74ee0f4b52571a16e856673bfb0e7a3
Binary files /dev/null and b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8a.jpg differ
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.csv b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.csv
new file mode 100644
index 0000000000000000000000000000000000000000..4fbe58fa94439bf30fcb4c3e1ce167d5ebe77ef8
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.csv
@@ -0,0 +1,6 @@
+lambdai=0.5 T=293,,lambdai=2 T=293,
+0,-107.334525939177,0.0476947535771064,135.957066189623
+7.53577106518283,-1180.67978533095,7.53577106518283,1166.36851520572
+15.0238473767886,-2654.74060822898,15.0238473767886,3012.52236135957
+22.5119236883943,-2998.21109123435,22.5119236883943,3871.19856887299
+30,-3041.14490161002,30,4128.80143112701
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.jpg b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..aabe1bcd5bbb43b87a7c01abd1d84d9743670a82
Binary files /dev/null and b/dG3D/benchmarks/steinmann_MTM_Benchmarks/mehnert_steinmann_2017_data/8b.jpg differ
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotNormalForce.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotNormalForce.py
new file mode 100755
index 0000000000000000000000000000000000000000..81a1955a19c64564a43d244f444618586fd260e7
--- /dev/null
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotNormalForce.py
@@ -0,0 +1,121 @@
+import os
+import pickle
+
+import matplotlib
+import matplotlib.pyplot as plt
+import matplotlib.ticker as ticker
+import numpy as npy
+import openpyxl
+import pandas as pd
+from utils import *
+
+testFolderName = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_0_temp_293'
+# testFolderName = 'pureRadialStretchCompression_zeta_25_c_0_temp_293'
+PATH_RESULTS = './'+testFolderName+'/'
+outputFileName = testFolderName+'_NormalPressure'+'.csv'
+
+inputFile = PATH_RESULTS + 'inputdatafile.txt'
+UxBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp0.csv'
+timeStep_old, Ux_old = read_2ColumnCsv(UxBefore)
+UyBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp1.csv'
+timeStep_old, Uy_old = read_2ColumnCsv(UyBefore)
+normalForceTopSurfaceBefore = PATH_RESULTS + 'force11111comp2.csv'
+timeStep_old, normalForceTopSurface_z_old = read_2ColumnCsv(normalForceTopSurfaceBefore)
+
+with open(inputFile, "rb") as data:
+    ftime = pickle.load(data)
+    nuSMP = pickle.load(data)
+    nuVac = pickle.load(data)
+    Rint_undeformed = pickle.load(data)
+    RextSMP = pickle.load(data)
+    meshfile = pickle.load(data)
+    flagUseEMStress = pickle.load(data)
+    flagEMFieldDependentShearModulus = pickle.load(data)
+    thermalSource = pickle.load(data)
+    applyPressureBCForRadialStretch = pickle.load(data)
+    applyPressureBCForAxialStretch = pickle.load(data)
+    Pmax = pickle.load(data)
+    tApplied = pickle.load(data)
+    current = pickle.load(data)
+    lambda_z = pickle.load(data)
+    H_SMP = pickle.load(data)
+    flagCompressionTest = pickle.load(data)
+
+# take entries only in mechanical load application stage
+# excluding EM loading time steps
+if(applyPressureBCForRadialStretch):
+    timeStart = 0.1 # start of application of pressure for radial inflation/compression
+elif(applyPressureBCForAxialStretch):
+    timeStart = 0.2  # start of application of pressure for radial inflation/compression
+else:
+    timeStart = 0.0 # default
+n_, = npy.where(npy.isclose(timeStep_old, timeStart)) # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
+timeStep = timeStep_old[n_[0]+1:] # new timeStep array excluding EM, thermal (and axial stretch) loading time steps
+Ux = Ux_old[n_[0]+1:] # new Ux
+Uy = Uy_old[n_[0]+1:] # new Uy
+normalForceTopSurface_z = normalForceTopSurface_z_old[n_[0]+1:] # new normal force
+
+# print('Ux = ',Ux)
+# print('Uy = ',Uy)
+# print('NormalForce = ',normalForceTopSurface_z)
+
+# this is going to give +ve displacement increment (delta_U) always
+# what about negative displacement increment (delta_U)?
+radial_U = (Ux ** 2. + Uy ** 2.) ** 0.5
+# print('radial_U = ',radial_U)
+
+# Sign of Ux only due to Uy = 0. always, since point 11120 located along xaxis and no displacement in y direction
+radial_Stretch = (npy.sign(Ux) * radial_U) / Rint_undeformed + 1.
+# print('radial stretch = ',radial_Stretch)
+
+# normal pressure = normal force/undeformed surface area
+normalPressureTopSurface_z = normalForceTopSurface_z/(npy.pi * Rint_undeformed * Rint_undeformed)
+# print(normalPressureTopSurface_z)
+
+# convert array into dataframe
+# writing columns with column head names
+df = pd.DataFrame({'t': timeStep, 'radial_Stretch': radial_Stretch, 'normal_pressure': normalPressureTopSurface_z})
+
+# save the dataframe as a csv file
+# header = True if column header names to be written to csv
+df.to_csv(outputFileName, sep=";", header=True, index=False)
+
+# copy file to results directory
+resultsDir = 'gholap_data'
+if not os.path.exists(resultsDir):
+    # if directory is not present
+    # then create it
+    os.makedirs(resultsDir)
+os.system('cp '+outputFileName+' '+resultsDir+'/')
+
+# plot data
+matplotlib.rc('text', usetex=True)
+matplotlib.rc('font', **{'family': 'serif', 'serif': ['Computer Modern Roman'],
+                         'monospace': ['Computer Modern Typewriter']})
+
+fig1 = plt.figure(figsize=(6, 6), layout='constrained')
+plt.plot(radial_Stretch, normalPressureTopSurface_z / 1.e3, 'g', label='Gholap et al.', linewidth=1.)
+ax1 = plt.gca()
+
+ax1.set_xlabel(u"$\lambda_i$", fontsize=16)
+ax1.set_ylabel(u"Normal pressure [kPa]", fontsize=16)
+ax1.legend(loc='lower center', bbox_to_anchor=(0.5, -0.3), ncols=2, frameon=False, fontsize=11, labelspacing=0.1)
+
+ratio = 1
+xleft, xright = ax1.get_xlim()
+ybottom, ytop = ax1.get_ylim()
+# ax1.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
+
+#ax1.text(0.97, -10, "$\lambda_z = 1$", size=16)
+
+ax1.tick_params(direction='in', labelsize=14, axis='both', which='major', pad=7)
+# ax1.grid(linestyle='--', linewidth=.3)
+ax1.tick_params(bottom=True, top=True, left=True, right=True)
+
+ax1.margins(0.1)
+ax1.xaxis.set_major_locator(ticker.MultipleLocator(0.5))
+ax1.yaxis.set_major_locator(ticker.MultipleLocator(50))
+
+# plt.tight_layout(pad=2.)
+#fig1.savefig('normal_pressure_radial_stretch.png', bbox_inches='tight', dpi=1000)
+plt.show()
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotRadialStretch.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotRadialStretch.py
old mode 100644
new mode 100755
index 24f0342a5db22ebc7e0d7b9b733a03ad6eafa17e..a875967e16f13bfaf072aef5289ee9d40e96bc22
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotRadialStretch.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/plotRadialStretch.py
@@ -9,7 +9,10 @@ import openpyxl
 import pandas as pd
 from utils import *
 
-PATH_RESULTS = './pureRadialStretch_zeta_20_c_6_temp_293/'
+testFolderName = 'combinedRadialAxialStretch_lambda_z_200_zeta_25_c_0_temp_293'
+# testFolderName = 'pureRadialStretchCompression_zeta_25_c_0_temp_293'
+PATH_RESULTS = './'+testFolderName+'/'
+outputFileName = testFolderName+'.csv'
 
 inputFile = PATH_RESULTS + 'inputdatafile.txt'
 UxBefore = PATH_RESULTS + 'NodalDisplacementPhysical11120Num19comp0.csv'
@@ -29,7 +32,7 @@ with open(inputFile, "rb") as data:
     thermalSource = pickle.load(data)
     applyPressureBCForRadialStretch = pickle.load(data)
     applyPressureBCForAxialStretch = pickle.load(data)
-    amplP = pickle.load(data)
+    Pmax = pickle.load(data)
     tApplied = pickle.load(data)
     current = pickle.load(data)
     lambda_z = pickle.load(data)
@@ -38,9 +41,13 @@ with open(inputFile, "rb") as data:
 
 # take entries only in mechanical load application stage
 # excluding EM loading time steps
-#n = 1 # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
-timeStart = 0.1 # start of application of pressure for radial inflation/compression
-n_, = npy.where(npy.isclose(timeStep_old, timeStart))
+if(applyPressureBCForRadialStretch):
+    timeStart = 0.1 # start of application of pressure for radial inflation/compression
+elif(applyPressureBCForAxialStretch):
+    timeStart = 0.2  # start of application of pressure for radial inflation/compression
+else:
+    timeStart = 0.0 # default
+n_, = npy.where(npy.isclose(timeStep_old, timeStart)) # num of steps to exclude in which application of thermal, EM load (and axial stretch if considered)
 timeStep = timeStep_old[n_[0]+1:] # new timeStep array excluding EM, thermal (and axial stretch) loading time steps
 Ux = Ux_old[n_[0]+1:] # new Ux
 Uy = Uy_old[n_[0]+1:] # new Uy
@@ -53,29 +60,12 @@ Uy = Uy_old[n_[0]+1:] # new Uy
 radial_U = (Ux ** 2. + Uy ** 2.) ** 0.5
 # print('radial_U = ',radial_U)
 
-# initial internal radius
-# Rint_undeformed= 0.01 # m
-# amplP=39.e3
-# ftime=1.
-
-if(flagCompressionTest):
-    signRadialCompression = [-1.0] * len(Ux); # array
-else:
-    signRadialCompression = [1.0] * len(Ux); # array
-
-# case where there is radial contraction for combined axial and radial stretch test and
-# on application of inflation pressure after some pressure
-# steps we get positive radial stretch (compared to undeformed radius)
-if(applyPressureBCForAxialStretch):
-    signCombinedRadialAxialStretchTest = npy.sign(Ux); # array
-else:
-    signCombinedRadialAxialStretchTest = [1.0] * len(Ux); # array
-
-radial_Stretch = (npy.asarray(signRadialCompression) * npy.asarray(signCombinedRadialAxialStretchTest) * radial_U) / Rint_undeformed + 1.
+# Sign of Ux only due to Uy = 0. always, since point 11120 located along xaxis and no displacement in y direction
+radial_Stretch = (npy.sign(Ux) * radial_U) / Rint_undeformed + 1.
 # print('radial stretch = ',radial_Stretch)
 
-# pressure = amplP / ftime * timeStep
-pressure = amplP * (timeStep-timeStart)/(ftime-timeStart)
+# pressure = Pmax / ftime * timeStep
+pressure = Pmax * (timeStep-timeStart)/(ftime-timeStart)
 # print(pressure)
 
 # convert array into dataframe
@@ -84,10 +74,7 @@ df = pd.DataFrame({'t': timeStep, 'radial_Stretch': radial_Stretch, 'pressure':
 
 # save the dataframe as a csv file
 # header = True if column header names to be written to csv
-#fileName = 'Gholap_2a_z_15_c_0_temp_293_compression.csv'
-# fileName = 'Gholap_2b_z_15_c_0_temp_293_lz_5_inflation.csv'
-fileName = 'Gholap_2a_z_20_c_6_temp_293_inflation.csv'
-df.to_csv(fileName, sep=";", header=True, index=False)
+df.to_csv(outputFileName, sep=";", header=True, index=False)
 
 # copy file to results directory
 resultsDir = 'gholap_data'
@@ -95,7 +82,7 @@ if not os.path.exists(resultsDir):
     # if directory is not present
     # then create it
     os.makedirs(resultsDir)
-os.system('cp '+fileName+' '+resultsDir+'/')
+os.system('cp '+outputFileName+' '+resultsDir+'/')
 
 # plot data
 matplotlib.rc('text', usetex=True)
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/runTest.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/runTest.py
index c723c2e0975324008bd87a65badf317e05133516..7c0bb9335dc2081420082e2c5495b084adf02ad8 100644
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/runTest.py
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/runTest.py
@@ -14,15 +14,15 @@ nuSMP = 0.495 # Poisson ratio
 nuVac = 0.25 # Poisson ratio
 RintSMP = 1.e-2 # m
 H_SMP = 2.e-3 # m
-flagCompressionTest = False # if compression stretch, either radial or axial
+# flagCompressionTest = False # if compression stretch radial
 
 # depending on external radius of smp, choose relevant mesh file
-RextSMP = RextArray[1] # m
-meshfile = meshfileArray[1] # name of mesh file
-flagUseEMStress = True
-flagEMFieldDependentShearModulus = True
+# RextSMP = RextArray[0] # m
+# meshfile = meshfileArray[0] # name of mesh file
+# flagUseEMStress = True
+# flagEMFieldDependentShearModulus = True
 #lambda_zArray = np.array([0.5,0.75,1.0,1.25,1.5,1.75,2.0]);
-lambda_z = 1.0 # axial stretch = l/L
+# lambda_z = 1.0 # axial stretch = l/L
 
 # use thermal source or not: (capacitive + meca + EM) thermal source
 thermalSource = False 
@@ -31,66 +31,62 @@ thermalSource = False
 # either on inner surface for radial inflation or compression
 # or on start and end surface for axial tensile or compressive stretch
 # or both in case of some radial stretch and then axial stretch
-applyPressureBCForRadialStretch = True
-applyPressureBCWithAxialStretch = False
+# applyPressureBCForRadialStretch = True
+# applyPressureBCWithAxialStretch = False
 
 #pressure data from mehnert et al.
 # plot 2a lambda_z = 1 purely radial stretch lambda_i = 2: 
-#zeta=1.5, c=0, Pmax = 38775 Pa
-#zeta=2, c=0, Pmax = 65306
-#zeta=2.5, c=0, Pmax = 84183
-#zeta=1.5, c=1, Pmax = 46938
-#zeta=2, c=1, Pmax = 76020
-#zeta=2.5, c=1, Pmax = 96428
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 38775 #Pa
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 65306
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 84183
+zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 46938
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 76020
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 96428
 # plot 2a lambda_z = 1 purely radial compression lambda_i = 0.5:
-#zeta=1.5, c=0, Pmin = -173980 Pa
-#zeta=2, c=0, Pmin = -196940
-#zeta=2.5, c=0, Pmin = -199491
-#zeta=1.5, c=1, Pmin = -200004
-#zeta=2, c=1, Pmin = -200008
-#zeta=2.5, c=1, Pmin = -199500
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -173980 #Pa
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -196940
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -199491
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -200004
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -200008
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -199500
 
-# plot 3a for lambda_z = 1, zeta = 2.5 purely radial stretch lambda_i = 2 with temperature gradient: 
-#c=0, Te= 193, Pmax = 73844 Pa
-#c=0, Te= 293, Pmax = 84689
-#c=0, Te= 393, Pmax = 95534
-#c=1, Te= 193, Pmax = 84689
-#c=1, Te= 293, Pmax = 96172
-#c=1, Te= 393, Pmax = 108293
-# plot 3a for lambda_z = 1, zeta = 2.5 purely radial compression lambda_i = 0.5 with temperature gradient:
-#c=0, Te= 193, Pmin = -185167 Pa
-#c=0, Te= 293, Pmin = -206220
-#c=0, Te= 393, Pmin = -227911
-#c=1, Te= 193, Pmin = -226635
-#c=1, Te= 293, Pmin = -250877
-#c=1, Te= 393, Pmin = -275758
+# plot 2b lambda_i = 2 combined radial and axial stretch:
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 51758 #Pa
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 35970
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 25358
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 19348
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 76869
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 57248
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 41844
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 32574
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 90671
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 71050
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 52962
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=0.; flagUseEMStress = False; flagEMFieldDependentShearModulus = False; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 41776
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 65559
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 43254
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 30534
+#zeta=1.5; RextSMP = RextArray[0]; meshfile = meshfileArray[0]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 23373
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 95080
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 66833
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 48362
+#zeta=2.0; RextSMP = RextArray[1]; meshfile = meshfileArray[1]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 37366
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 0.5; flagCompressionTest = False; Pmax = 110415
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.0; flagCompressionTest = False; Pmax = 81401
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 1.5; flagCompressionTest = False; Pmax = 60247
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=1.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = False; applyPressureBCWithAxialStretch = True; lambda_z = 2.0; flagCompressionTest = False; Pmax = 47143
 
-# plot 2b lambda_i = 2 combined radial and axial stretch: 
-#zeta=1.5, c=0, lambda_z = 0.5, Pmax = 51758 Pa
-#zeta=1.5, c=0, lambda_z = 1.0, Pmax = 35970 Pa
-#zeta=1.5, c=0, lambda_z = 1.5, Pmax = 25358 Pa
-#zeta=1.5, c=0, lambda_z = 2.0, Pmax = 19348 Pa
-#zeta=2.0, c=0, lambda_z = 0.5, Pmax = 76869 Pa
-#zeta=2.0, c=0, lambda_z = 1.0, Pmax = 57248 Pa
-#zeta=2.0, c=0, lambda_z = 1.5, Pmax = 41844 Pa
-#zeta=2.0, c=0, lambda_z = 2.0, Pmax = 32574 Pa
-#zeta=2.5, c=0, lambda_z = 0.5, Pmax = 90671 Pa
-#zeta=2.5, c=0, lambda_z = 1.0, Pmax = 71050 Pa
-#zeta=2.5, c=0, lambda_z = 1.5, Pmax = 52962 Pa
-#zeta=2.5, c=0, lambda_z = 2.0, Pmax = 41776 Pa
-#zeta=1.5, c=1, lambda_z = 0.5, Pmax = 65559 Pa
-#zeta=1.5, c=1, lambda_z = 1.0, Pmax = 43254 Pa
-#zeta=1.5, c=1, lambda_z = 1.5, Pmax = 30534 Pa
-#zeta=1.5, c=1, lambda_z = 2.0, Pmax = 23373 Pa
-#zeta=2.0, c=1, lambda_z = 0.5, Pmax = 95080 Pa
-#zeta=2.0, c=1, lambda_z = 1.0, Pmax = 66833 Pa
-#zeta=2.0, c=1, lambda_z = 1.5, Pmax = 48362 Pa
-#zeta=2.0, c=1, lambda_z = 2.0, Pmax = 37366 Pa
-#zeta=2.5, c=1, lambda_z = 0.5, Pmax = 110415 Pa
-#zeta=2.5, c=1, lambda_z = 1.0, Pmax = 81401 Pa
-#zeta=2.5, c=1, lambda_z = 1.5, Pmax = 60247 Pa
-#zeta=2.5, c=1, lambda_z = 2.0, Pmax = 47143 Pa
-pressure = 76020 # Pa
+# plot 4b current sweep with lambda_z = 1 purely radial stretch lambda_i = 2:
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=7.5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 643000
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=15.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 1621302
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=22.5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 2063116
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=30.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = False; Pmax = 2173570
+
+# plot 4b current sweep with lambda_z = 1 purely radial compression lambda_i = 0.5:
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=7.5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -2544379
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=15.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -5637081
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=22.5; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -6268245
+#zeta=2.5; RextSMP = RextArray[2]; meshfile = meshfileArray[2]; c=30.0; flagUseEMStress = True; flagEMFieldDependentShearModulus = True; applyPressureBCForRadialStretch = True; applyPressureBCWithAxialStretch = False; lambda_z = 1.0; flagCompressionTest = True; Pmax = -6362919
 
 # to apply appropriate thermal BC
 # temperature prescribed on outer cylindrical surface of smp
@@ -100,20 +96,20 @@ tApplied = tAppliedArray[1] # K
 
 # to apply current BC to generate magnetic field
 # if nonzero current applied, there is electric and magnetic fields in the problem
-current = currentArray[1]*2.0*math.pi # A
+current = c*2.0*math.pi # A
 
 # directory to copy results files after run
 print('Creating folder to copy results files.')
 
 if(meshfile=='newDorfmannTestGeom_1.msh'):
-  zeta = 15 # 1.5 acutally but cannot have dot in folder name
+  zeta_ = 15 # 1.5 acutally but cannot have dot in folder name
 elif(meshfile=='newDorfmannTestGeom_2.msh'):
-  zeta = 20 # 2.0
+  zeta_ = 20 # 2.0
 elif(meshfile=='newDorfmannTestGeom_3.msh'):
-  zeta = 25 # 2.5
+  zeta_ = 25 # 2.5
 else:
-  print('Warning! Unknown mesh file. Using zeta = 0 to generate results folder.')
-  zeta = 0 # 
+  print('Warning! Unknown mesh file. Using zeta_ = 0 to generate results folder.')
+  zeta_ = 0 #
   
 if(applyPressureBCForRadialStretch):
   tempName = 'pureRadialStretch'
@@ -134,6 +130,8 @@ if(applyPressureBCWithAxialStretch):
     tempName += '50' # 0.5 acutally but cannot have dot in folder name
   elif(lambda_z==0.75):
     tempName += '75'
+  elif(lambda_z==1.0):
+    tempName += '100'
   elif(lambda_z==1.25):
     tempName += '125'
   elif(lambda_z==1.5):
@@ -145,7 +143,7 @@ if(applyPressureBCWithAxialStretch):
   else: # lambda_z==1.0
     tempName += '1'
   
-resultsDir = tempName+'_zeta_'+str(int(zeta))+'_c_'+str(int(current))+'_temp_'+str(int(tApplied))
+resultsDir = tempName+'_zeta_'+str(int(zeta_))+'_c_'+str(int(current))+'_temp_'+str(int(tApplied))
 os.system('mkdir '+resultsDir)
 
 print('Results folder '+resultsDir+' created.')
@@ -163,7 +161,7 @@ with open('inputdatafile.txt','wb') as data:
   pickle.dump(thermalSource, data)
   pickle.dump(applyPressureBCForRadialStretch, data)
   pickle.dump(applyPressureBCWithAxialStretch, data)
-  pickle.dump(pressure, data)
+  pickle.dump(Pmax, data)
   pickle.dump(tApplied, data)
   pickle.dump(current, data)
   pickle.dump(lambda_z, data)
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/submit_vinu.sh b/dG3D/benchmarks/steinmann_MTM_Benchmarks/submit_vinu.sh
index 99f0fbb573c684a1a9bdc9e9eaa5e6a9d9c34d86..2eb1315daefc2369e7fd1997d86d44ca2eeecf2e 100644
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/submit_vinu.sh
+++ b/dG3D/benchmarks/steinmann_MTM_Benchmarks/submit_vinu.sh
@@ -1,18 +1,18 @@
 #!/bin/sh
 
 # script example for dragon2
-#SBATCH --job-name SteinmannTest
+#SBATCH --job-name Steinmann_MTM_Test
 #SBATCH --mail-user=vinayak.gholap@doct.uliege.be
 #SBATCH --mail-type=ALL
 #SBATCH --output="out.txt"
 #SBATCH --ntasks=1
-#SBATCH --mem-per-cpu=35G
-#SBATCH --time=9-23:59:00
+#SBATCH --mem-per-cpu=45GB
+#SBATCH --time=13-23:59:00
 #SBATCH --partition=long
 
 module load OpenMPI/4.1.1-GCC-11.2.0
 
-SUBDIR=$HOME/cm3Libraries/dG3D/benchmarks/steinmann_Benchmarks
+SUBDIR=$HOME/cm3Libraries/dG3D/benchmarks/steinmann_MTM_Benchmarks
 echo "subdir=" $SUBDIR
 
 SCRATCH=$GLOBALSCRATCH/${USER}_$SLURM_JOB_ID
@@ -20,7 +20,7 @@ echo "workdir=" $SCRATCH
 
 
 pyfile=runTest.py
-mshfile=newDorfmannTestGeom_*.msh
+mshfile=Refined_newDorfmannTestGeom_*.msh
 echo "node list of job"  >> $SUBDIR/output.po$SLURM_JOB_ID
 
 hostname >> $SUBDIR/output.po$SLURM_JOB_ID
diff --git a/dG3D/benchmarks/steinmann_MTM_Benchmarks/testCylinder.py b/dG3D/benchmarks/steinmann_MTM_Benchmarks/testCylinder.py
deleted file mode 100644
index 6feab9c97ab63fbd53065b059ca718f1c99f9222..0000000000000000000000000000000000000000
--- a/dG3D/benchmarks/steinmann_MTM_Benchmarks/testCylinder.py
+++ /dev/null
@@ -1,348 +0,0 @@
-#coding-Utf-8-*-
-from gmshpy import *
-
-
-#from dG3DpyDebug import*
-from dG3Dpy import*
-
-#script to launch Steinmann benchmark problem with a python script
-
-import math
-
-RintSMP = 1.e-2 #m
-RextSMP = 1.5e-2 #m
-#crossSecAreaBase = math.pi * (RextSMP*RextSMP - RintSMP*RintSMP)
-
-def disp_radial_x(x,y,z,t,extra):
-  theta=math.atan(z/x)
-  #print('x=',x,'z=',z)
-  #print('theta=',theta)
-  #print('radial_x=',extra*math.cos(theta)*t)
-  return extra*math.cos(theta)*t
-
-       
-def disp_radial_z(x,y,z,t,extra):
-  theta=math.atan(z/x)
-  #print('x=',x,'z=',z)
-  #print('theta=',theta)
-  #print('radial_z=',extra*math.sin(theta)*t)
-  return extra*math.sin(theta)*t
-
-
-#==========Electric & magnetic parameters Conducting polymer========================
-lx=ly=lz=25. # electrical conductivity (S/m) 
-seebeck=0.0 #21.e-6
-v0=0. # initial electric potential
-mag_mu_0 = 4.e-7 * math.pi # vacuum magnetic permeability
-mag_r_smp = 20.0 # relative mag permeability of SMP
-# use of magnetic permeability constants to formulate magnetization
-mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -3.5715e-4 # magnetic permeability constants of SMP
-mu_9 = 0.0 # magnetic permeability constants of SMP
-mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
-magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
-Irms = 0. # (Ampere)
-freq = 0. # (Hz)
-nTurnsCoil = 0
-coilLx = coilLy = coilLz = 0 # m
-coilW = 0 # m
-lawnum= 1 
-rho   = 270. # material density (Kg/m^3)
-tinitial = 273.+20. # (K)
-G= 1.e5 # Shear modulus (Pa)
-nu=0.495 # Poisson ratio
-alpha = beta=gamma=0. # parameter of anisotropy
-cp=10.*rho # specific heat capacity 
-Kx=Ky=Kz=237. # Thermal conductivity (W/m K)
-alphaTherm=0.0 #13.e-5 # thermal dilatation
-E_matrix = G*2.*(1.+nu) # (Pa)
-
-useFluxT=True
-evaluateCurlField = True;
-evaluateTemperature = True;
-
-# geometry
-meshfile="cylinder.msh" # name of mesh file
-
-# solver
-sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
-soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1, Explicit=2, Multi=3, Implicit=4, Eigen=5
-nstep = 300 # 8*EMncycles # number of step (used only if soltype=1)
-ftime = 1.0 # EMncycles/freq; # according to characteristic time
-tol=1.e-6  # relative tolerance for NR scheme (used only if soltype=1)
-nstepArch=1 # Number of step between 2 archiving (used only if soltype=1)
-fullDg = False #O = CG, 1 = DG
-space1 = 0 # function space (Lagrange=0)
-beta1 = 40.
-eqRatio =1.
-
-#  compute solution and BC (given directly to the solver
-# creation of law
-
-# material law for smp
-# Mechanical law
-elasticPotential = NeoHookeanElasticPotential(lawnum,E_matrix,nu);
-lawMech = dG3DHyperelasticMaterialLaw(lawnum, rho, elasticPotential);
-
-# Generic Thermo-Mech law
-lawTM   = GenericThermoMechanicsDG3DMaterialLaw(lawnum+1,rho,alpha,beta,gamma,tinitial,Kx,Ky,Kz,alphaTherm,alphaTherm,alphaTherm,cp)
-lawTM.setMechanicalMaterialLaw(lawMech);
-lawTM.setApplyReferenceF(False);
-
-_cp = constantScalarFunction(cp);
-lawTM.setLawForCp(_cp);
-
-# ElecMag Generic Thermo-Mech law for smp
-lawsmp = ElecMagGenericThermoMechanicsDG3DMaterialLaw(lawnum+2,rho,alpha,beta,gamma,lx,ly,lz,seebeck,v0,mag_mu_x,
-mag_mu_y,mag_mu_z,mu_7,mu_8,mu_9,magpot0_x,magpot0_y, magpot0_z, Irms, freq, nTurnsCoil, coilLx, coilLy, coilLz, coilW,useFluxT,evaluateCurlField,evaluateTemperature)
-
-lawsmp.setThermoMechanicalMaterialLaw(lawTM);
-lawsmp.setApplyReferenceF(False);
-lawsmp.setUseEMStress(False);
-lawsmp.setEMFieldDependentShearModulus(False);
-
-pertLawsmp = dG3DMaterialLawWithTangentByPerturbation(lawsmp,1.e-8)
-
-#lawsmp.setUseBarF(True)
-
-# creation of ElasticField
-SMPfield = 1000 # number of the field (physical number of SMP)
-SmpRefTop=11111 # top face of outer surface of SMP
-SmpOuterShell = 11113 # outer cylindrical surface of smp
-SmpInnerShell = 11114 # inner cylindrical surface of smp
-SmpRefBottom = 11115 # bottom face of outer surface of SMP
-SurfSmpCut_1 = 11132 # cut surface in SMP
-SurfSmpCut_2 = 11133 # cut surface in SMP
-SurfSmpCut_3 = 11134 # cut surface in SMP
-SurfSmpCut_4 = 11135 # cut surface in SMP
-"""
-SmpInnerShell_1 = 11136;
-SmpInnerShell_2 = 11137;
-SmpInnerShell_3 = 11138;
-SmpInnerShell_4 = 11139;
-"""
-
-SmpRefTopPoint_Exterior_1=11116 # single point on top face of SMP at exterior cylindrical face
-SmpRefTopPoint_Exterior_2=11117 # single point on top face of SMP at exterior cylindrical face
-SmpRefTopPoint_Interior_1=11120 # single point on top face of SMP at interior cylindrical face
-SmpRefTopPoint_Interior_2=11121 # single point on top face of SMP at interior cylindrical face
-SmpRefBottomPoint_Exterior_1=11124 # single point on bottom face of SMP at exterior cylindrical face
-SmpRefBottomPoint_Exterior_2=11125 # single point on bottom face of SMP at exterior cylindrical face
-SmpRefBottomPoint_Interior_1=11128 # single point on bottom face of SMP at interior cylindrical face
-SmpRefBottomPoint_Interior_2=11129 # single point on bottom face of SMP at interior cylindrical face
-
-SMP_field = ElecMagTherMechDG3DDomain(10,SMPfield,space1,lawnum+2,fullDg,eqRatio,3)
-
-SMP_field.setConstitutiveExtraDofDiffusionEqRatio(eqRatio)
-SMP_field.setConstitutiveCurlEqRatio(eqRatio)
-SMP_field.stabilityParameters(beta1)
-
-SMP_field.ElecMagTherMechStabilityParameters(beta1,fullDg)
-
-thermalSource=True
-mecaSource=False
-
-SMP_field.setConstitutiveExtraDofDiffusionAccountSource(thermalSource,mecaSource)
-
-#SMP_field.matrixByPerturbation(1,1,1,1.e-3)
-
-# creation of Solver
-mysolver = nonLinearMechSolver(1000)
-mysolver.loadModel(meshfile)
-mysolver.addDomain(SMP_field)
-mysolver.addMaterialLaw(lawsmp)
-mysolver.Scheme(soltype)
-mysolver.Solver(sol)
-mysolver.snlData(nstep,ftime,tol,tol/10.)#forsmp   
-mysolver.options("-ksp_type preonly")
-mysolver.options("-pc_type lu")
-mysolver.stepBetweenArchiving(nstepArch)
-mysolver.snlManageTimeStep(25, 10, 2, 10)
-
-# BC
-
-# Mechanical BC
-pressure = 39.e3 # Pa
-mysolver.displacementBC("Face",SmpRefTop,1,0.0)
-mysolver.displacementBC("Face",SmpRefBottom,1,0.0)
-"""
-mysolver.displacementBC("Node",SmpRefTopPoint_Exterior_1,0,0.0)
-mysolver.displacementBC("Node",SmpRefTopPoint_Interior_1,0,0.0)
-mysolver.displacementBC("Node",SmpRefTopPoint_Exterior_2,2,0.0)
-mysolver.displacementBC("Node",SmpRefTopPoint_Interior_2,2,0.0)
-
-mysolver.displacementBC("Node",SmpRefBottomPoint_Exterior_1,0,0.0)
-mysolver.displacementBC("Node",SmpRefBottomPoint_Interior_1,0,0.0)
-mysolver.displacementBC("Node",SmpRefBottomPoint_Exterior_2,2,0.0)
-mysolver.displacementBC("Node",SmpRefBottomPoint_Interior_2,2,0.0)
-"""
-mysolver.displacementBC("Face",SurfSmpCut_1,2,0.0)
-mysolver.displacementBC("Face",SurfSmpCut_2,0,0.0)
-mysolver.displacementBC("Face",SurfSmpCut_3,2,0.0)
-mysolver.displacementBC("Face",SurfSmpCut_4,0,0.0)
-
-cyclicFunctionPressure1=cycleFunctionTime(0., 0., ftime, pressure); # Pa
-mysolver.pressureOnPhysicalGroupBC("Face",SmpInnerShell,cyclicFunctionPressure1)
-
-"""
-# prescribe radial displacement BC
-delta_r=2.0
-fct_radial_x = PythonBCfunctionDouble(disp_radial_x,delta_r)
-fct_radial_z = PythonBCfunctionDouble(disp_radial_z,delta_r)
-
-mysolver.displacementBC("Face",SmpInnerShell,0,fct_radial_x)
-mysolver.displacementBC("Face",SmpInnerShell,2,fct_radial_z)
-"""
-#thermal BC
-cyclicFunctionTemp1=cycleFunctionTime(0., tinitial,ftime,tinitial);
-mysolver.initialBC("Volume","Position",SMPfield,3,tinitial)
-mysolver.displacementBC("Volume",SMPfield,3,cyclicFunctionTemp1)
-"""
-tApplied = 393.; # K
-cyclicFunctionTemp2=cycleFunctionTime(0., tApplied,ftime,tApplied);
-mysolver.displacementBC("Face",SmpOuterShell,3,cyclicFunctionTemp2)
-mysolver.displacementBC("Face",SmpInnerShell,3,cyclicFunctionTemp1)
-"""
-#electrical BC
-mysolver.initialBC("Volume","Position",SMPfield,4,0.0)
-"""
-mysolver.displacementBC("Node",SmpRefTopPoint_Interior_1,4,0.0)
-cyclicFunctionvolt1=cycleFunctionTime(0., 0.,  ftime,0.);
-mysolver.displacementBC("Face",SmpRefTop,4,cyclicFunctionvolt1)
-cyclicFunctionvolt2=cycleFunctionTime(0., 0.,  ftime,0.);
-mysolver.displacementBC("Face",SmpRefBottom,4,cyclicFunctionvolt2)
-"""
-mysolver.displacementBC("Volume",SMPfield,4,0.0)
-
-#magentic BC
-mysolver.curlDisplacementBC("Face",SmpRefTop,5,0.0) # comp may also be 5
-mysolver.curlDisplacementBC("Face",SmpRefBottom,5,0.0) # comp may also be 5
-
-#Gauging the edges using tree-cotree method
-PhysicalCurves = "" 		# input required as a string of comma separated ints
-PhysicalSurfaces = "11111,11115" # input required as a string of comma separated ints
-PhysicalVolumes = "1000" # input required as a string of comma separated ints
-OutputPhysical = 55 		# input required as a int
-mysolver.createTreeForBC(PhysicalCurves,PhysicalSurfaces,PhysicalVolumes,OutputPhysical)
-mysolver.curlDisplacementBC("Edge",OutputPhysical,5,0.0)
-
-mysolver.internalPointBuildView("svm",IPField.SVM, 1, 1)
-mysolver.internalPointBuildView("sig_xx",IPField.SIG_XX, 1, 1)
-mysolver.internalPointBuildView("sig_yy",IPField.SIG_YY, 1, 1)
-mysolver.internalPointBuildView("sig_zz",IPField.SIG_ZZ, 1, 1)
-mysolver.internalPointBuildView("sig_xy",IPField.SIG_XY, 1, 1)
-mysolver.internalPointBuildView("sig_yz",IPField.SIG_YZ, 1, 1)
-mysolver.internalPointBuildView("sig_xz",IPField.SIG_XZ, 1, 1)
-mysolver.internalPointBuildView("eps_xx",IPField.STRAIN_XX, 1, 1)
-mysolver.internalPointBuildView("eps_yy",IPField.STRAIN_YY, 1, 1)
-mysolver.internalPointBuildView("eps_zz",IPField.STRAIN_ZZ, 1, 1)
-mysolver.internalPointBuildView("eps_xy",IPField.STRAIN_XY, 1, 1)
-mysolver.internalPointBuildView("eps_yz",IPField.STRAIN_YZ, 1, 1)
-mysolver.internalPointBuildView("eps_xz",IPField.STRAIN_XZ, 1, 1)
-mysolver.internalPointBuildView("temperature",IPField.TEMPERATURE, 1, 1)
-mysolver.internalPointBuildView("w_AV",IPField.EMFIELDSOURCE, 1, 1)
-mysolver.internalPointBuildView("w_T",IPField.THERMALSOURCE, 1, 1)
-mysolver.internalPointBuildView("qx",IPField.THERMALFLUX_X, 1, 1)
-mysolver.internalPointBuildView("qy",IPField.THERMALFLUX_Y, 1, 1)
-mysolver.internalPointBuildView("qz",IPField.THERMALFLUX_Z, 1, 1)
-mysolver.internalPointBuildView("voltage",IPField.VOLTAGE, 1, 1)
-mysolver.internalPointBuildView("jex",IPField.ELECTRICALFLUX_X, 1, 1)
-mysolver.internalPointBuildView("jey",IPField.ELECTRICALFLUX_Y, 1, 1)
-mysolver.internalPointBuildView("jez",IPField.ELECTRICALFLUX_Z, 1, 1)
-mysolver.internalPointBuildView("ax",IPField.MAGNETICVECTORPOTENTIAL_X, 1, 1)
-mysolver.internalPointBuildView("ay",IPField.MAGNETICVECTORPOTENTIAL_Y, 1, 1)
-mysolver.internalPointBuildView("az",IPField.MAGNETICVECTORPOTENTIAL_Z, 1, 1)
-mysolver.internalPointBuildView("bx",IPField.MAGNETICINDUCTION_X, 1, 1)
-mysolver.internalPointBuildView("by",IPField.MAGNETICINDUCTION_Y, 1, 1)
-mysolver.internalPointBuildView("bz",IPField.MAGNETICINDUCTION_Z, 1, 1)
-mysolver.internalPointBuildView("hx",IPField.MAGNETICFIELD_X, 1, 1)
-mysolver.internalPointBuildView("hy",IPField.MAGNETICFIELD_Y, 1, 1)
-mysolver.internalPointBuildView("hz",IPField.MAGNETICFIELD_Z, 1, 1)
-mysolver.internalPointBuildView("js0_x",IPField.INDUCTORSOURCEVECTORFIELD_X, 1, 1)
-mysolver.internalPointBuildView("js0_y",IPField.INDUCTORSOURCEVECTORFIELD_Y, 1, 1)
-mysolver.internalPointBuildView("js0_z",IPField.INDUCTORSOURCEVECTORFIELD_Z, 1, 1)
-mysolver.internalPointBuildView("F_xx",IPField.F_XX, 1, 1)
-mysolver.internalPointBuildView("F_xy",IPField.F_XY, 1, 1)
-mysolver.internalPointBuildView("F_xz",IPField.F_XZ, 1, 1)
-mysolver.internalPointBuildView("F_yx",IPField.F_YX, 1, 1)
-mysolver.internalPointBuildView("F_yy",IPField.F_YY, 1, 1)
-mysolver.internalPointBuildView("F_yz",IPField.F_YZ, 1, 1)
-mysolver.internalPointBuildView("F_zx",IPField.F_ZX, 1, 1)
-mysolver.internalPointBuildView("F_zy",IPField.F_ZY, 1, 1)
-mysolver.internalPointBuildView("F_zz",IPField.F_ZZ, 1, 1)
-mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
-mysolver.internalPointBuildView("jacobian",IPField.JACOBIAN, 1, 1)
-
-mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 0, 1);
-mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 1, 1);
-mysolver.archivingForceOnPhysicalGroup("Face", SmpInnerShell, 2, 1);
-
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,0,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,1,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,2,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,3,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Interior_1,4,1);
-
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Exterior_1,0,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Exterior_1,1,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Exterior_1,2,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Exterior_1,3,1);
-mysolver.archivingNodeDisplacement(SmpRefTopPoint_Exterior_1,4,1);
-
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Interior_1,0,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Interior_1,1,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Interior_1,2,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Interior_1,3,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Interior_1,4,1);
-
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Exterior_1,0,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Exterior_1,1,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Exterior_1,2,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Exterior_1,3,1);
-mysolver.archivingNodeDisplacement(SmpRefBottomPoint_Exterior_1,4,1);
-
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield,IPField.TEMPERATURE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield,IPField.VOLTAGE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield,IPField.EMFIELDSOURCE,IPField.MEAN_VALUE,nstepArch);
-
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_X,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Y,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Z,	IPField.MEAN_VALUE);
-
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_X,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Y,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Z,	IPField.MEAN_VALUE);
-
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SVM,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.PLASTICSTRAIN,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.TEMPERATURE,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_XX,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_YY,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_ZZ,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_XY,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_YZ,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.STRAIN_XZ,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_XX,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_YY,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_ZZ,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_XY,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_YZ,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SIG_XZ,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.F_XX,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.F_YY,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.F_ZZ,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.JACOBIAN,	IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.P_XX,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.P_YY,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.P_ZZ,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.S_XX,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.S_YY,		IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.S_ZZ,		IPField.MEAN_VALUE);
-
-mysolver.solve()
-
-check = TestCheck()
-
-check.equal(0.01920014287264333,mysolver.getArchivedNodalValue(SmpRefTopPoint_Interior_1,0,mysolver.displacement),1.e-6)
-
-
diff --git a/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/StrongCouplingEMGenericTM.py b/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/StrongCouplingEMGenericTM.py
index f88e51a802961d2021d2d29d65ab7d67e6a49691..e93f2706cb4f71169dbf4bdf2b159bf3a74831c0 100644
--- a/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/StrongCouplingEMGenericTM.py
+++ b/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/StrongCouplingEMGenericTM.py
@@ -33,7 +33,11 @@ epsilon_6 = 0.0
 epsilon_5 = 0.0 #(epsilon_0 * (1.0-epsilon_r_smp)/rho)
 # use of magnetic permeability constants to formulate magnetization
 mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -3.5715e-4 # magnetic permeability constants of SMP
+if(mag_r_smp == 1.0):
+  mu_8 = 0.0
+else:
+  mu_8 = (rho * mag_mu_0)/((1.0/mag_r_smp)-1.0) # magnetic permeability constants of SMP
+#print("mu_8 = ",mu_8)
 mu_9 = 0.0 # magnetic permeability constants of SMP
 mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
 magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
@@ -72,8 +76,8 @@ Gvac=156.e1 # Shear modulus
 Muvac = 0.35 # Poisson ratio
 Evac= 2.0 * Gvac * (1.0 + Muvac) #youngs modulus
 alphavac = betavac = gammavac = 0. # parameter of anisotropy
-cpvac= 1.e-12 #1012.*rhovac
-Kxvac=Kyvac=Kzvac= 0.0 #26.e-3 # thermal conductivity tensor components
+cpvac= 1012.*rhovac
+Kxvac=Kyvac=Kzvac= 26.e-3 # thermal conductivity tensor components
 lxvac=lyvac=lzvac= 1.e-12 # electrical conductivity
 seebeckvac= 0.
 alphaThermvac= 0.0 # thermal dilatation
@@ -93,12 +97,12 @@ meshfile="undeformedSMPFullDomain.msh" # name of mesh file
 sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
 soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1
 #EMncycles = 5; # num of sinusoidal cycles of EM frequency application
-nstep = 40 # 8*EMncycles # number of step (used only if soltype=1)
+nstep = 400 # 8*EMncycles # number of step (used only if soltype=1)
 ftime = 5.e-3 # EMncycles/freq; # according to characteristic time
 finalDisp = 0.004
 #for battery, full solution cannot be reached with mumps-> one 2 EM cycles
 nstep = 40
-ftime = 5e-3
+ftime = 5.e-3
 finalDisp = 0.004/4.
 #EMftime = EMncycles/freq # Final time (used only if soltype=1)
 tol=1.e-9   # relative tolerance for NR scheme (used only if soltype=1)
@@ -281,6 +285,7 @@ mysolver.displacementBC("Face",SurfVacOut,3,cyclicFunctionTemp1)
 #electrical BC
 mysolver.displacementBC("Volume",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",SMPfield,4,0.0)
+mysolver.initialBC("Volume","Position",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",Vacfield,4,0.0)
 mysolver.displacementBC("Face",SurfVacOut,4,0.0)
 mysolver.displacementBC("Node",SmpRefPoint,4,0.0)
@@ -343,9 +348,9 @@ mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
 mysolver.internalPointBuildView("jacobian",IPField.JACOBIAN, 1, 1)
 
 
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE,nstepArch);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE,1);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE,1);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE,1);
 
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 3, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 4, 1);
diff --git a/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh b/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh
new file mode 100644
index 0000000000000000000000000000000000000000..c42ae0bbe5c5c097cf9fd79f7c0ff65bd206d6f3
--- /dev/null
+++ b/dG3D/benchmarks/strongCouplingEMGenericTM_SMP/undeformedSMPFullDomain_Order2.msh
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+$EndElements
diff --git a/dG3D/benchmarks/strongCoupling_SMPPhenoMech_withAir/strongCoupling_SMPPhenoMech_withAir.py b/dG3D/benchmarks/strongCoupling_SMPPhenoMech_withAir/strongCoupling_SMPPhenoMech_withAir.py
index e5524e4c76e4169c0058a304f09e18c02ec14617..2b0938b74337d7f803be5a00e4aa0322e1ee4b1a 100644
--- a/dG3D/benchmarks/strongCoupling_SMPPhenoMech_withAir/strongCoupling_SMPPhenoMech_withAir.py
+++ b/dG3D/benchmarks/strongCoupling_SMPPhenoMech_withAir/strongCoupling_SMPPhenoMech_withAir.py
@@ -23,7 +23,7 @@ epsilon_6 = 0.0
 epsilon_5 = 0.0 #(epsilon_0 * (1.0-epsilon_r_smp)/rho)
 # use of magnetic permeability constants to formulate magnetization
 mu_7 = 0.0 # magnetic permeability constants of SMP
-mu_8 = -1.58733e-3 # magnetic permeability constants of SMP
+mu_8 = -1.58733e-3 # magnetic permeability constants of SMP (rho * mag_mu_0)/((1.0/mag_r_smp)-1.0)
 mu_9 = 0.0 # magnetic permeability constants of SMP
 mag_mu_x = mag_mu_y = mag_mu_z = mag_r_smp * mag_mu_0 # mag permeability smp 
 magpot0_x = magpot0_y = magpot0_z = 0.0 # initial magnetic potential
@@ -75,8 +75,8 @@ crystallizationRate.put(0.,20.)
 crystallizationRate.put(0.1,0)
 crystallizationRate.put(1.,0.)
   
-cg	= 2.02*rho #1974210.		
-cr	= 2.02*rho #1744200.
+cg	= 2020.*rho #1974210.
+cr	= 2020.*rho #1744200.
 Kxg=Kyg=Kzg=Kxr=Kyr=Kzr	= 0.22					  
 TaylorQuineyG=TaylorQuineyR=TaylorQuineyAM= 1.		# fraction of plastic energy converted to thermal energy	
 
@@ -84,7 +84,7 @@ cfG	= 1.0
 cfR	= 0.0		
 
 alphaAM0= 1.e-5#alphar0
-cAM	= 2.02*rho		
+cAM	= 2020.*rho
 KxAM=KyAM=KzAM = Kxr
 
 cfAM	= 0.0
@@ -200,6 +200,7 @@ alphaShearAMDilatationTempCoef=0.02;
 fieldSource =True  	#True #account for cp dT dt 	
 mecaSource  =True 	#False #account for Taylor Quincey	
 
+tinitial = 273.-10.
 t0 = 273.+60.
 t1 = 273.-10.
 tair= 273.+20.;
@@ -211,7 +212,7 @@ _j2IHRc = LinearExponentialJ2IsotropicHardening(lawnum+3,  1.2*tau_y0R, 1.2*HR1,
 _j2IHAMt = LinearExponentialJ2IsotropicHardening(lawnum+4,  tau_y0AM, HAM1, HAM2, HAM3)
 _j2IHAMc = LinearExponentialJ2IsotropicHardening(lawnum+5,  1.2*tau_y0AM, 1.2*HAM1, 1.2*HAM2, HAM3)
 
-lawSMPPheno= PhenomenologicalSMPDG3DMaterialLaw(lawnum+7, rho, alpha, beta, gamma, t0, 
+lawSMPPheno= PhenomenologicalSMPDG3DMaterialLaw(lawnum+7, rho, alpha, beta, gamma, t0,
                                            Kxg, Kyg, Kzg, Kxr, Kyr, Kzr, KxAM, KyAM, KzAM,
                                            cfG, cfR, cfAM, cg, cr, cAM,
                                            Tm0, Tc0, xi, wm0, wc0,
@@ -306,8 +307,8 @@ Gvac=156.e1 # Shear modulus
 Muvac = 0.35 # Poisson ratio
 Evac= 2.0 * Gvac * (1.0 + Muvac) #youngs modulus
 alphavac = betavac = gammavac = 0. # parameter of anisotropy
-cpvac= 1.e-12 #1012.*rhovac
-Kxvac=Kyvac=Kzvac= 0.0 #26.e-3 # thermal conductivity tensor components
+cpvac= 1012.*rhovac
+Kxvac=Kyvac=Kzvac= 1.e-12 #26.e-3 # thermal conductivity tensor components
 lxvac=lyvac=lzvac= 1.e-12 # electrical conductivity
 seebeckvac= 0.
 alphaThermvac= 0.0 # thermal dilatation
@@ -315,6 +316,12 @@ v0vac = 0.
 mag_r_vac = 1.0 # relative mag permeability of inductor
 mag_mu_x_vac = mag_mu_y_vac = mag_mu_z_vac = mag_r_vac * mag_mu_0 # mag permeability inductor 
 magpot0_x_vac = magpot0_y_vac = magpot0_z_vac = 0.0 # initial magnetic potential
+epsilon_4_vac = 0.0
+epsilon_6_vac = 0.0
+epsilon_5_vac = 0.0
+mu_7_vac = 0.0
+mu_9_vac = 0.0 
+mu_8_vac = 0.0 
 
 useFluxT=True
 evaluateCurlField = True;
@@ -325,11 +332,11 @@ meshfile="undeformedSMPFullDomain.msh" # name of mesh file
 
 # solver
 sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2
-soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1
-nstep = 4000 # 8*EMncycles # number of step (used only if soltype=1)
-ftime = 2. # EMncycles/freq; # according to characteristic time
-tol=1.e-6   # relative tolerance for NR scheme (used only if soltype=1)
-nstepArch=100 # Number of step between 2 archiving (used only if soltype=1)
+soltype = 1 # StaticLinear=0 (default) StaticNonLinear=1, Explicit=2, Multi=3, Implicit=4, Eigen=5
+nstep = 5000 # 8*EMncycles # number of step (used only if soltype=1)
+ftime = 200. # EMncycles/freq; # according to characteristic time
+tol=1.e-3   # relative tolerance for NR scheme (used only if soltype=1)
+nstepArch=(int)(nstep/100) # Number of step between 2 archiving (used only if soltype=1)
 fullDg = False #O = CG, 1 = DG
 space1 = 0 # function space (Lagrange=0)
 beta1 = 40.
@@ -344,8 +351,10 @@ mag_mu_y,mag_mu_z,epsilon_4,epsilon_5,epsilon_6,mu_7,mu_8,mu_9,magpot0_x,magpot0
 
 lawsmp.setThermoMechanicalMaterialLaw(lawSMPPheno);
 lawsmp.setApplyReferenceF(False);
+flagUseEMStress=False
+lawsmp.setUseEMStress(flagUseEMStress);
 
-pertLawsmp = dG3DMaterialLawWithTangentByPerturbation(lawsmp,1.e-8)
+pertLawsmp = dG3DMaterialLawWithTangentByPerturbation(lawsmp,1.e-5)
 
 #lawsmp.setUseBarF(True)
 
@@ -356,7 +365,7 @@ hardenind = LinearExponentialJ2IsotropicHardening(lawnumind, sy0, h, 0., 10.)
 lawMechind   = J2LinearDG3DMaterialLaw(lawnumind,rhoind,Eind,Muind,hardenind)
 lawMechind.setStrainOrder(-1)
 
-lawTMind = GenericThermoMechanicsDG3DMaterialLaw(lawnumind+1,rhoind,alphaind,betaind,gammaind,tair,
+lawTMind = GenericThermoMechanicsDG3DMaterialLaw(lawnumind+1,rhoind,alphaind,betaind,gammaind,t0,
 Kxind,Kyind,Kzind,alphaThermind,alphaThermind,alphaThermind,cpind)
 lawTMind.setMechanicalMaterialLaw(lawMechind);
 lawTMind.setApplyReferenceF(False);
@@ -379,7 +388,7 @@ hardenvac = LinearExponentialJ2IsotropicHardening(lawnumvac, sy0, h, 0., 10.)
 lawMechvac   = J2LinearDG3DMaterialLaw(lawnumvac,rhovac,Evac,Muvac,hardenvac)
 lawMechvac.setStrainOrder(-1)
 
-lawTMvac = GenericThermoMechanicsDG3DMaterialLaw(lawnumvac+1,rhovac,alphavac,betavac,gammavac,tair,
+lawTMvac = GenericThermoMechanicsDG3DMaterialLaw(lawnumvac+1,rhovac,alphavac,betavac,gammavac,t0,
 Kxvac,Kyvac,Kzvac,alphaThermvac,alphaThermvac,alphaThermvac,cpvac)
 lawTMvac.setMechanicalMaterialLaw(lawMechvac);
 lawTMvac.setApplyReferenceF(False);
@@ -388,7 +397,7 @@ _cpvac = constantScalarFunction(cpvac);
 lawTMvac.setLawForCp(_cpvac);
 
 lawvac = ElecMagGenericThermoMechanicsDG3DMaterialLaw(lawnumvac+2,rhovac,alphavac,betavac,gammavac,lxvac,lyvac,lzvac,
-seebeckvac,v0vac, mag_mu_x_vac, mag_mu_y_vac, mag_mu_z_vac,0.0,0.0,0.0,0.0,0.0,0.0, magpot0_x_vac,
+seebeckvac,v0vac, mag_mu_x_vac, mag_mu_y_vac, mag_mu_z_vac,epsilon_4_vac,epsilon_5_vac,epsilon_6_vac,mu_7_vac,mu_8_vac,mu_9_vac, magpot0_x_vac,
 magpot0_y_vac, magpot0_z_vac, Irms, freq, nTurnsCoil, coilLx, coilLy, coilLz, coilW,useFluxT,evaluateCurlField,evaluateTemperature)
 
 lawvac.setThermoMechanicalMaterialLaw(lawTMvac);
@@ -425,15 +434,17 @@ Vacuum_field.stabilityParameters(beta1)
 
 #SMP_field.setConstitutiveExtraDofDiffusionStabilityParameters(beta1,fullDg)
 SMP_field.ElecMagTherMechStabilityParameters(beta1,fullDg)
+Vacuum_field.ElecMagTherMechStabilityParameters(beta1,fullDg)
+Inductor_field.ElecMagTherMechStabilityParameters(beta1,fullDg)
 
 SMP_field.setConstitutiveExtraDofDiffusionAccountSource(fieldSource,mecaSource)
 Vacuum_field.setConstitutiveExtraDofDiffusionAccountSource(fieldSource,mecaSource)
 Inductor_field.setConstitutiveExtraDofDiffusionAccountSource(fieldSource,mecaSource)
 
-SMP_field.matrixByPerturbation(0,0,0,1.e-8)
+#SMP_field.matrixByPerturbation(0,0,0,1.e-8)
 
 # creation of Solver
-mysolver = nonLinearMechSolver(200)
+mysolver = nonLinearMechSolver(1000)
 mysolver.loadModel(meshfile)
 mysolver.addDomain(SMP_field)
 mysolver.addDomain(Inductor_field)
@@ -444,14 +455,16 @@ mysolver.addMaterialLaw(lawvac)
 mysolver.Scheme(soltype)
 mysolver.Solver(sol)
 mysolver.snlData(nstep,ftime,tol,tol/100.)#forsmp   
-mysolver.options("-ksp_type preonly")
-mysolver.options("-pc_type lu")
+mysolver.options("-ksp_type preonly -pc_type lu -pc_factor_mat_solver_type petsc")
 mysolver.stepBetweenArchiving(nstepArch)
 mysolver.snlManageTimeStep(50, 3, 2, 10)
 
+mysolver.setNumStepTimeInterval(ftime/2., 1000) # uniaxial stretch while above glass temp
+mysolver.setNumStepTimeInterval(ftime/1., nstep-1000) # cool below crystallization temp while holding stretch
+
 # BC
 
-DispYY = 0.5e-2;
+DispYY = 2.5e-3;
 cyclicFunctionDisp=cycleFunctionTime(0., 0., ftime/2., DispYY, ftime, DispYY);
 mysolver.displacementBC("Face",SmpRefBottom,0,0.)
 mysolver.displacementBC("Face",SmpRefBottom,1,0.)
@@ -470,8 +483,8 @@ mysolver.displacementBC("Face",SurfVacOut,2,0.0)
 cyclicFunctionTemp1=cycleFunctionTime(0., t0,ftime/2.,t0,ftime,t1);
 mysolver.initialBC("Volume","Position",SMPfield,3,t0)
 mysolver.displacementBC("Volume",SMPfield,3,cyclicFunctionTemp1);
-mysolver.initialBC("Volume","Position",Indfield,3,tair)
-mysolver.initialBC("Volume","Position",Vacfield,3,tair)
+mysolver.initialBC("Volume","Position",Indfield,3,t0)
+mysolver.initialBC("Volume","Position",Vacfield,3,t0)
 cyclicFunctionTempAir=cycleFunctionTime(0., tair,ftime,tair);
 mysolver.displacementBC("Volume",Indfield,3,cyclicFunctionTempAir)
 mysolver.displacementBC("Face",SurfVacOut,3,cyclicFunctionTempAir)
@@ -525,6 +538,9 @@ mysolver.internalPointBuildView("bz",IPField.MAGNETICINDUCTION_Z, 1, 1)
 mysolver.internalPointBuildView("hx",IPField.MAGNETICFIELD_X, 1, 1)
 mysolver.internalPointBuildView("hy",IPField.MAGNETICFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("hz",IPField.MAGNETICFIELD_Z, 1, 1)
+mysolver.internalPointBuildView("dx",IPField.ELECDISPLACEMENT_X, 1, 1)
+mysolver.internalPointBuildView("dy",IPField.ELECDISPLACEMENT_Y, 1, 1)
+mysolver.internalPointBuildView("dz",IPField.ELECDISPLACEMENT_Z, 1, 1)
 mysolver.internalPointBuildView("js0_x",IPField.INDUCTORSOURCEVECTORFIELD_X, 1, 1)
 mysolver.internalPointBuildView("js0_y",IPField.INDUCTORSOURCEVECTORFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("js0_z",IPField.INDUCTORSOURCEVECTORFIELD_Z, 1, 1)
@@ -540,61 +556,35 @@ mysolver.internalPointBuildView("F_zz",IPField.F_ZZ, 1, 1)
 mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
 mysolver.internalPointBuildView("jacobian",IPField.JACOBIAN, 1, 1)
 
-# ===Variable storage==============================================================================
-"""
-mysolver.archivingNodeDisplacement(1,0,nstepArch);
-mysolver.archivingNodeDisplacement(1,1,nstepArch);
-mysolver.archivingNodeDisplacement(1,2,nstepArch);
-mysolver.archivingNodeDisplacement(1,3,nstepArch);
-mysolver.archivingNodeDisplacement(2,0,nstepArch);
-mysolver.archivingNodeDisplacement(2,1,nstepArch);
-mysolver.archivingNodeDisplacement(2,2,nstepArch);
-mysolver.archivingNodeDisplacement(2,3,nstepArch);
-mysolver.archivingNodeDisplacement(3,0,nstepArch);
-mysolver.archivingNodeDisplacement(3,1,nstepArch);
-mysolver.archivingNodeDisplacement(3,2,nstepArch);
-mysolver.archivingNodeDisplacement(3,3,nstepArch);
-mysolver.archivingNodeDisplacement(4,0,nstepArch);
-mysolver.archivingNodeDisplacement(4,1,nstepArch);
-mysolver.archivingNodeDisplacement(4,2,nstepArch);
-mysolver.archivingNodeDisplacement(4,3,nstepArch);
-mysolver.archivingNodeDisplacement(5,0,nstepArch);
-mysolver.archivingNodeDisplacement(5,1,nstepArch);
-mysolver.archivingNodeDisplacement(5,2,nstepArch);
-mysolver.archivingNodeDisplacement(5,3,nstepArch);
-mysolver.archivingNodeDisplacement(6,0,nstepArch);
-mysolver.archivingNodeDisplacement(6,1,nstepArch);
-mysolver.archivingNodeDisplacement(6,2,nstepArch);
-mysolver.archivingNodeDisplacement(6,3,nstepArch);
-mysolver.archivingNodeDisplacement(7,0,nstepArch);
-mysolver.archivingNodeDisplacement(7,1,nstepArch);
-mysolver.archivingNodeDisplacement(7,2,nstepArch);
-mysolver.archivingNodeDisplacement(7,3,nstepArch);
-mysolver.archivingNodeDisplacement(8,0,nstepArch);
-mysolver.archivingNodeDisplacement(8,1,nstepArch);
-mysolver.archivingNodeDisplacement(8,2,nstepArch);
-mysolver.archivingNodeDisplacement(8,3,nstepArch);
-"""
-"""
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 4158, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 4158, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 2376, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 2376, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 3487, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 3487, 3)
-"""
+mysolver.internalPointBuildView("FthG_YY", IPField.FthG_YY,    	1, 1)
+mysolver.internalPointBuildView("FthG_ZZ", IPField.FthG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FthR_YY", IPField.FthR_YY,    	1, 1)
+mysolver.internalPointBuildView("FthR_ZZ", IPField.FthR_ZZ,   	1, 1)
+mysolver.internalPointBuildView("FfG_YY", IPField.FfG_YY,    	1, 1)
+mysolver.internalPointBuildView("FfG_ZZ", IPField.FfG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FpG_YY", IPField.FpG_YY,    1, 1)
+mysolver.internalPointBuildView("FpG_ZZ", IPField.FpG_ZZ,    1, 1)
+mysolver.internalPointBuildView("epsG", IPField.epsG,      1, 1)
+mysolver.internalPointBuildView("FveG_YY", IPField.FveG_YY,    1, 1)
+mysolver.internalPointBuildView("FveG_ZZ", IPField.FveG_ZZ,   1, 1)
+mysolver.internalPointBuildView("FP_YY", IPField.FP_YY,     1, 1)
+mysolver.internalPointBuildView("FP_ZZ", IPField.FP_ZZ,      1, 1)
+mysolver.internalPointBuildView("FpR_YY", IPField.FpR_YY,   1, 1)
+mysolver.internalPointBuildView("FpR_ZZ", IPField.FpR_ZZ,    1, 1)
+mysolver.internalPointBuildView("FveR_YY", IPField.FveR_YY,   1, 1)
+mysolver.internalPointBuildView("FveR_ZZ", IPField.FveR_ZZ,   1, 1)
+
+mysolver.internalPointBuildView("ZG", IPField.ZG,    1, 1)
+mysolver.internalPointBuildView("PDF", IPField.PDF,        1, 1)
+mysolver.internalPointBuildView("TT", IPField.TT,    1, 1)
+mysolver.internalPointBuildView("WT", IPField.WT,    1, 1)
+  
+mysolver.internalPointBuildView("FthAM_YY", IPField.FthAM_YY,   1, 1)
+mysolver.internalPointBuildView("FthAM_ZZ", IPField.FthAM_ZZ,   1, 1)
+mysolver.internalPointBuildView("FfAM_YY", IPField.FfAM_YY,   1, 1)
+mysolver.internalPointBuildView("FfAM_ZZ", IPField.FfAM_ZZ,   1, 1)
 
+# ===Variable storage==============================================================================
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.SVM,		IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.PLASTICSTRAIN,	IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.epsR,		IPField.MEAN_VALUE);
@@ -700,9 +690,17 @@ mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.plasticDiss,	IPF
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.viscousDiss,	IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield, IPField.EDiss,		IPField.MEAN_VALUE);
 
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE,nstepArch);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE);
+
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_X,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Y,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Z,	IPField.MEAN_VALUE);
+
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_X,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Y,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Z,	IPField.MEAN_VALUE);
 
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 3, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 4, 1);
@@ -712,6 +710,14 @@ mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 0, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 1, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 2, 1);
 
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 2, 1);
+
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 0, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 1, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 2, nstepArch);
+
 mysolver.archivingNodeDisplacement(SmpRefPoint,0,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,1,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,2,1);
@@ -722,12 +728,12 @@ mysolver.archivingNodeDisplacement(SmpRefPoint,4,1);
 #mysolver.archivingNodeIP(SmpRef, IPField.ELECTRICALFLUX_X,IPField.MEAN_VALUE,1);
 
 #mysolver.setWriteDeformedMeshToFile(True);
-#mysolver.createRestartBySteps(25);
+mysolver.createRestartBySteps(nstepArch);
 mysolver.solve()
 
-
-check = TestCheck()
 """
+check = TestCheck()
+
 check.equal(0.000000e+00,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 3),1.e-5)
 check.equal(-5.791038939500164e-13,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfSmp, 4),1.e-5)
 check.equal(-1.0826986260372312e-11,mysolver.getArchivedForceOnPhysicalGroup("Face", SurfInd, 4),1.e-5)
@@ -748,26 +754,32 @@ LastForce= mysolver.getArchivedForceOnPhysicalGroup("Face", SmpRef, 1)
 mysolver.resetBoundaryConditions()	
 
 # creation of Solver
-nstep1=15000;
-nstepArch=100;
-soltype2=4; #StaticLinear=0, StaticNonLinear=1, Explicit=2, Multi=3, Implicit=4, Eigen=5
-ftime2 = 5. # s
+nstep2=1610000;
+nstepArch= 100; #(int)(nstep2/100)
+#soltype2=4; #StaticLinear=0, StaticNonLinear=1, Explicit=2, Multi=3, Implicit=4, Eigen=5
+soltype2=1;
+ftime2 = 200. # s
 mysolver.Scheme(soltype2)
 mysolver.Solver(sol)
-mysolver.snlData(nstep1,ftime2,tol,tol/100.)
-mysolver.implicitSpectralRadius(0.01)
+mysolver.snlData(nstep2,ftime2,tol,tol/100.)
+#mysolver.implicitSpectralRadius(0.01)
 mysolver.snlManageTimeStep(50, 3, 2, 10)
 mysolver.stepBetweenArchiving(nstepArch)
 
+mysolver.setNumStepTimeInterval(ftime2/2., nstep2-10000) # shape recovery using EM induction heating; high num of steps proportional to EM freq and each period devided into 16 equal intervals
+mysolver.setNumStepTimeInterval(ftime2/1., 10000) # strain reduction to zero
+
 # ===Boundary conditions===========================================================================
 # mechanical BCs	
-cyclicFunctionF= cycleFunctionTime(0., LastForce/crossSecAreaBase, ftime2/2., 0., ftime2, 0.);
+#cyclicFunctionF= cycleFunctionTime(0., LastForce/crossSecAreaBase, ftime2/2., 0., ftime2, 0.);
 #mysolver.displacementBC("Face",SmpRef,0,0.)		
-mysolver.forceBC("Face",SmpRef,1,cyclicFunctionF)	
+#mysolver.forceBC("Face",SmpRef,1,cyclicFunctionF)	
 #mysolver.displacementBC("Face",SmpRef,2,0.)
 mysolver.displacementBC("Face",SmpRefBottom,0,0.)
 mysolver.displacementBC("Face",SmpRefBottom,1,0.)
 mysolver.displacementBC("Face",SmpRefBottom,2,0.)
+cyclicFunctionDisp=cycleFunctionTime(0., DispYY, ftime2/2., DispYY, ftime2, 0.);
+mysolver.displacementBC("Face",SmpRef,1,cyclicFunctionDisp)
 mysolver.displacementBC("Volume",Indfield,0,0.0)
 mysolver.displacementBC("Volume",Indfield,1,0.0)
 mysolver.displacementBC("Volume",Indfield,2,0.0)
@@ -778,15 +790,16 @@ mysolver.displacementBC("Face",SurfVacOut,2,0.0)
 # thermal BCs
 tair= 273.+20.;
 mysolver.initialBC("Volume","Position",SMPfield,3,t1)
-mysolver.initialBC("Volume","Position",Indfield,3,tair)
-mysolver.initialBC("Volume","Position",Vacfield,3,tair)
-cyclicFunctionTempAir=cycleFunctionTime(0., tair,ftime,tair);
+mysolver.initialBC("Volume","Position",Indfield,3,t1)
+mysolver.initialBC("Volume","Position",Vacfield,3,t1)
+cyclicFunctionTempAir=cycleFunctionTime(0., tair,ftime2,tair);
 mysolver.displacementBC("Volume",Indfield,3,cyclicFunctionTempAir)
 mysolver.displacementBC("Face",SurfVacOut,3,cyclicFunctionTempAir)	
 
 #electrical BC
 mysolver.displacementBC("Volume",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",SMPfield,4,0.0)
+mysolver.initialBC("Volume","Position",Indfield,4,0.0)
 mysolver.initialBC("Volume","Position",Vacfield,4,0.0)
 mysolver.displacementBC("Face",SurfVacOut,4,0.0)
 mysolver.displacementBC("Node",SmpRefPoint,4,0.0)
@@ -802,62 +815,7 @@ mysolver.createTreeForBC(PhysicalCurves,PhysicalSurfaces,PhysicalVolumes,OutputP
 mysolver.curlDisplacementBC("Edge",OutputPhysical,5,0.0)
 
 # ===Variable storage==============================================================================
-"""
-mysolver.archivingNodeDisplacement(1,0,nstepArch);
-mysolver.archivingNodeDisplacement(1,1,nstepArch);
-mysolver.archivingNodeDisplacement(1,2,nstepArch);
-mysolver.archivingNodeDisplacement(1,3,nstepArch);
-mysolver.archivingNodeDisplacement(2,0,nstepArch);
-mysolver.archivingNodeDisplacement(2,1,nstepArch);
-mysolver.archivingNodeDisplacement(2,2,nstepArch);
-mysolver.archivingNodeDisplacement(2,3,nstepArch);
-mysolver.archivingNodeDisplacement(3,0,nstepArch);
-mysolver.archivingNodeDisplacement(3,1,nstepArch);
-mysolver.archivingNodeDisplacement(3,2,nstepArch);
-mysolver.archivingNodeDisplacement(3,3,nstepArch);
-mysolver.archivingNodeDisplacement(4,0,nstepArch);
-mysolver.archivingNodeDisplacement(4,1,nstepArch);
-mysolver.archivingNodeDisplacement(4,2,nstepArch);
-mysolver.archivingNodeDisplacement(4,3,nstepArch);
-mysolver.archivingNodeDisplacement(5,0,nstepArch);
-mysolver.archivingNodeDisplacement(5,1,nstepArch);
-mysolver.archivingNodeDisplacement(5,2,nstepArch);
-mysolver.archivingNodeDisplacement(5,3,nstepArch);
-mysolver.archivingNodeDisplacement(6,0,nstepArch);
-mysolver.archivingNodeDisplacement(6,1,nstepArch);
-mysolver.archivingNodeDisplacement(6,2,nstepArch);
-mysolver.archivingNodeDisplacement(6,3,nstepArch);
-mysolver.archivingNodeDisplacement(7,0,nstepArch);
-mysolver.archivingNodeDisplacement(7,1,nstepArch);
-mysolver.archivingNodeDisplacement(7,2,nstepArch);
-mysolver.archivingNodeDisplacement(7,3,nstepArch);
-mysolver.archivingNodeDisplacement(8,0,nstepArch);
-mysolver.archivingNodeDisplacement(8,1,nstepArch);
-mysolver.archivingNodeDisplacement(8,2,nstepArch);
-mysolver.archivingNodeDisplacement(8,3,nstepArch);
-"""
-"""
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 1234, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 4158, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 4158, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 1265, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 1)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 5678, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 2376, 0)
-mysolver.archivingForceOnPhysicalGroup("Face", 2376, 3)
-mysolver.archivingForceOnPhysicalGroup("Face", 3487, 2)
-mysolver.archivingForceOnPhysicalGroup("Face", 3487, 3)
-"""
-
 mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.PLASTICSTRAIN,IPField.MEAN_VALUE);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.STRAIN_XX,IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.STRAIN_YY,IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.STRAIN_ZZ,IPField.MEAN_VALUE);
@@ -880,7 +838,6 @@ mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.P_ZZ,IPField.MEAN
 
 mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.SVM,IPField.MEAN_VALUE);
 
-#mysolver.archivingIPOnPhysicalGroup(  "Node",	7, 	IPField.FF_ZZ,	1)
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FthG_YY,        IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FthG_ZZ,        IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FfG_YY, IPField.MEAN_VALUE);
@@ -908,15 +865,22 @@ mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FpAM_ZZ, IPFie
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FveAM_YY,        IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.FveAM_ZZ,        IPField.MEAN_VALUE);
 
-
-
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.ZG,     IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.Tmelt,  IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.Tcrys,  IPField.MEAN_VALUE);
 mysolver.archivingIPOnPhysicalGroup("Volume",   SMPfield, IPField.TT,     IPField.MEAN_VALUE);
 
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE,nstepArch);
-mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE,nstepArch);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.TEMPERATURE,IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.VOLTAGE,IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",SMPfield, IPField.EMFIELDSOURCE,IPField.MEAN_VALUE);
+
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_X,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Y,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.MAGNETICINDUCTION_Z,	IPField.MEAN_VALUE);
+
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_X,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Y,	IPField.MEAN_VALUE);
+mysolver.archivingIPOnPhysicalGroup("Volume",	SMPfield,	IPField.ELECTRICALFLUX_Z,	IPField.MEAN_VALUE);
 
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 3, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SurfSmp, 4, 1);
@@ -930,13 +894,20 @@ mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 0, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 1, 1);
 mysolver.archivingForceOnPhysicalGroup("Face", SmpRef, 2, 1);
 
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 0, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 1, 1);
+mysolver.archivingForceOnPhysicalGroup("Face", SmpRefBottom, 2, 1);
+
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 0, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 1, nstepArch);
+mysolver.archivingForceOnPhysicalGroup("Node", SmpRefPoint, 2, nstepArch);
+
 mysolver.archivingNodeDisplacement(SmpRefPoint,0,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,1,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,2,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,3,1);
 mysolver.archivingNodeDisplacement(SmpRefPoint,4,1);
 
-
 mysolver.internalPointBuildView("svm",IPField.SVM, 1, 1)
 mysolver.internalPointBuildView("epl",IPField.PLASTICSTRAIN, 1, 1)
 mysolver.internalPointBuildView("temperature",IPField.TEMPERATURE, 1, 1)
@@ -971,6 +942,9 @@ mysolver.internalPointBuildView("bz",IPField.MAGNETICINDUCTION_Z, 1, 1)
 mysolver.internalPointBuildView("hx",IPField.MAGNETICFIELD_X, 1, 1)
 mysolver.internalPointBuildView("hy",IPField.MAGNETICFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("hz",IPField.MAGNETICFIELD_Z, 1, 1)
+mysolver.internalPointBuildView("dx",IPField.ELECDISPLACEMENT_X, 1, 1)
+mysolver.internalPointBuildView("dy",IPField.ELECDISPLACEMENT_Y, 1, 1)
+mysolver.internalPointBuildView("dz",IPField.ELECDISPLACEMENT_Z, 1, 1)
 mysolver.internalPointBuildView("js0_x",IPField.INDUCTORSOURCEVECTORFIELD_X, 1, 1)
 mysolver.internalPointBuildView("js0_y",IPField.INDUCTORSOURCEVECTORFIELD_Y, 1, 1)
 mysolver.internalPointBuildView("js0_z",IPField.INDUCTORSOURCEVECTORFIELD_Z, 1, 1)
@@ -984,10 +958,38 @@ mysolver.internalPointBuildView("F_zx",IPField.F_ZX, 1, 1)
 mysolver.internalPointBuildView("F_zy",IPField.F_ZY, 1, 1)
 mysolver.internalPointBuildView("F_zz",IPField.F_ZZ, 1, 1)
 
+mysolver.internalPointBuildView("FthG_YY", IPField.FthG_YY,    	1, 1)
+mysolver.internalPointBuildView("FthG_ZZ", IPField.FthG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FthR_YY", IPField.FthR_YY,    	1, 1)
+mysolver.internalPointBuildView("FthR_ZZ", IPField.FthR_ZZ,   	1, 1)
+mysolver.internalPointBuildView("FfG_YY", IPField.FfG_YY,    	1, 1)
+mysolver.internalPointBuildView("FfG_ZZ", IPField.FfG_ZZ,    	1, 1)
+mysolver.internalPointBuildView("FpG_YY", IPField.FpG_YY,    1, 1)
+mysolver.internalPointBuildView("FpG_ZZ", IPField.FpG_ZZ,    1, 1)
+mysolver.internalPointBuildView("epsG", IPField.epsG,      1, 1)
+mysolver.internalPointBuildView("FveG_YY", IPField.FveG_YY,    1, 1)
+mysolver.internalPointBuildView("FveG_ZZ", IPField.FveG_ZZ,   1, 1)
+mysolver.internalPointBuildView("FP_YY", IPField.FP_YY,     1, 1)
+mysolver.internalPointBuildView("FP_ZZ", IPField.FP_ZZ,      1, 1)
+mysolver.internalPointBuildView("FpR_YY", IPField.FpR_YY,   1, 1)
+mysolver.internalPointBuildView("FpR_ZZ", IPField.FpR_ZZ,    1, 1)
+mysolver.internalPointBuildView("FveR_YY", IPField.FveR_YY,   1, 1)
+mysolver.internalPointBuildView("FveR_ZZ", IPField.FveR_ZZ,   1, 1)
+
+mysolver.internalPointBuildView("ZG", IPField.ZG,    1, 1)
+mysolver.internalPointBuildView("PDF", IPField.PDF,        1, 1)
+mysolver.internalPointBuildView("TT", IPField.TT,    1, 1)
+mysolver.internalPointBuildView("WT", IPField.WT,    1, 1)
+  
+mysolver.internalPointBuildView("FthAM_YY", IPField.FthAM_YY,   1, 1)
+mysolver.internalPointBuildView("FthAM_ZZ", IPField.FthAM_ZZ,   1, 1)
+mysolver.internalPointBuildView("FfAM_YY", IPField.FfAM_YY,   1, 1)
+mysolver.internalPointBuildView("FfAM_ZZ", IPField.FfAM_ZZ,   1, 1)
 
 # ===Solving=======================================================================================
+mysolver.createRestartBySteps(nstepArch);
 mysolver.solve()
 
 
 # ===Test==========================================================================================
-check2 = TestCheck()
+#check2 = TestCheck()
diff --git a/dG3D/benchmarks/unitCell-Hill/comparison.py b/dG3D/benchmarks/unitCell-Hill/comparison.py
index caad370d1cbe62c3d664793dd604384f35a339d5..1404eeb7cf313b4c897545cb7d155d3d80c33379 100644
--- a/dG3D/benchmarks/unitCell-Hill/comparison.py
+++ b/dG3D/benchmarks/unitCell-Hill/comparison.py
@@ -25,7 +25,23 @@ print(f"initial porosity f0 = {f0}")
 fig, axes = plt.subplots(1,2, figsize=(8,5))
 plt.tight_layout()
 
-for folder, ltpe in zip(["J2","J2-newImp","Hill-0-Cauchy","Hill-0-Cauchy-bis"],["r-","g.","b+--", "ks-"]):
+for folder, ltpe in zip(["J2","J2-ani-impl","J2-newImp"],["r-","gs","b+--"]):
+  sigE, sigH, f, lamb, W, Chi, Er, Ez, Ee, sigZ = extractData(folder,f0,Lr0,Lz0,Rr0,Rz0,T=2)
+  axes[0].plot(Ee, sigE, ltpe, label=folder)
+  axes[1].plot(Ee, f, ltpe,label=folder)
+  
+axes[0].set_xlabel(r"$E_{eq}$ [-]")
+axes[0].set_ylabel(r"$\Sigma_{eq}$ (MPa)")
+axes[1].set_xlabel(r"$E_{eq}$ [-]")
+axes[1].set_ylabel(r"f [-]")
+
+axes[0].legend(loc="lower center",framealpha=0)
+axes[1].legend(framealpha=0)
+
+fig, axes = plt.subplots(1,2, figsize=(8,5))
+plt.tight_layout()
+
+for folder, ltpe in zip(["old",".","porous"],["rx-","g+--","kv"]):
   sigE, sigH, f, lamb, W, Chi, Er, Ez, Ee, sigZ = extractData(folder,f0,Lr0,Lz0,Rr0,Rz0,T=2)
   axes[0].plot(Ee, sigE, ltpe, label=folder)
   axes[1].plot(Ee, f, ltpe,label=folder)
diff --git a/dG3D/benchmarks/unitCell-Hill/extractData.py b/dG3D/benchmarks/unitCell-Hill/extractData.py
index 4cf639eed413e38f0a96ca731f7b521a7f019c52..d2bc7c08fcc48fb2c2d8c9bf95ef37ade64b374c 100644
--- a/dG3D/benchmarks/unitCell-Hill/extractData.py
+++ b/dG3D/benchmarks/unitCell-Hill/extractData.py
@@ -4,13 +4,13 @@ import pandas as pd
 import numpy as np
 
 def extractData(folder,f0,Lr0,Lz0,Rr0,Rz0,T):
-  uz = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical3Num4comp2.csv"), sep=";", header=None)
-  ur = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical3Num4comp0.csv"), sep=";", header=None)
+  uz = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical3Num3comp2.csv"), sep=";", header=None)
+  ur = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical3Num3comp0.csv"), sep=";", header=None)
   fz = pd.read_csv(os.path.join(folder, "force1comp2.csv"), sep=";", header=None)
   JV = pd.read_csv(os.path.join(folder, "VolumeIntegral_JACOBIAN.csv"), sep=";", header=None)
   Wpl =pd.read_csv(os.path.join(folder, "VolumeIntegral_PLASTIC_ENERGY.csv"), sep=";", header=None)
-  uRz = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical5Num6comp2.csv"), sep=";", header=None)
-  uRr = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical1Num2comp0.csv"), sep=";", header=None)
+  uRz = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical5Num5comp2.csv"), sep=";", header=None)
+  uRr = pd.read_csv(os.path.join(folder, "NodalDisplacementPhysical1Num1comp0.csv"), sep=";", header=None)
   
   Lz = Lz0+uz.values[:,1];
   Lr = Lr0+ur.values[:,1];
diff --git a/dG3D/src/dG3DDomain.cpp b/dG3D/src/dG3DDomain.cpp
index 2d71a3ce558b98081ce9e14036bedb31214c00f7..b9f87d61b846cfc66f1e79b48d5b3f971758983f 100644
--- a/dG3D/src/dG3DDomain.cpp
+++ b/dG3D/src/dG3DDomain.cpp
@@ -709,6 +709,7 @@ void dG3DDomain::createTerms(unknownField *uf,IPField*ip)
     btermBulk = new dG3DStiffnessBulk(*dgspace,_mlaw,_fullDg,ip);
 
   btermElasticBulk = new dG3DElasticStiffnessBulk(*dgspace,_mlaw,_fullDg,ip);
+  btermUndamagedElasticBulk = new dG3DUndamagedElasticStiffnessBulk(*dgspace,_mlaw,_fullDg,ip);
 
   if(_fullDg)
   {
@@ -731,6 +732,7 @@ void dG3DDomain::createTerms(unknownField *uf,IPField*ip)
     (static_cast<dG3DStiffnessBulk*>(btermBulk))->setDim(_dim);
   }
   (static_cast<dG3DElasticStiffnessBulk*>(btermElasticBulk))->setDim(_dim);
+  (static_cast<dG3DUndamagedElasticStiffnessBulk*>(btermUndamagedElasticBulk))->setDim(_dim);
 
   if( getNumNonLocalVariable() >0)
   {
@@ -744,6 +746,9 @@ void dG3DDomain::createTerms(unknownField *uf,IPField*ip)
 
     (static_cast<dG3DElasticStiffnessBulk*>(btermElasticBulk))->setNonLocalEqRatio(getNonLocalEqRatio());
     (static_cast<dG3DElasticStiffnessBulk*>(btermElasticBulk))->setNumNonLocalVariable(getNumNonLocalVariable());
+    
+    (static_cast<dG3DUndamagedElasticStiffnessBulk*>(btermUndamagedElasticBulk))->setNonLocalEqRatio(getNonLocalEqRatio());
+    (static_cast<dG3DUndamagedElasticStiffnessBulk*>(btermUndamagedElasticBulk))->setNumNonLocalVariable(getNumNonLocalVariable());
 
     if(_fullDg)
     {
diff --git a/dG3D/src/dG3DIPVariable.cpp b/dG3D/src/dG3DIPVariable.cpp
index 92e67aa01818038d541a5c85b54fe8ae7dd63ea7..19880906f16d9d4be82da57834805c5ad8c5d93b 100644
--- a/dG3D/src/dG3DIPVariable.cpp
+++ b/dG3D/src/dG3DIPVariable.cpp
@@ -1992,6 +1992,17 @@ double dG3DIPVariableMultiple::get(const int comp) const
     }
     return v;
   }
+  // Appended to enable use with torchbasedmaterial law @Mohib
+  // USER0 and USER1 stores extra variable assigned to the torchbasedmaterial law
+  else if (comp == IPField::USER0 || comp == IPField::USER1)
+  {
+    double v = 0;
+    for (int j=0; j< _numIP; j++)
+    {
+      v += _IPVector[j]->get(comp);
+    }
+    return v;
+  }
   else
   {
     return dG3DIPVariable::get(comp);
@@ -5176,6 +5187,10 @@ double ElecMagTherMechDG3DIPVariableBase::get(const int i) const
   {
       return getConstRefToThermalSource();
   }
+  else if(i == IPField::ELECTRICALSOURCE)
+  {
+      return getConstRefToVoltageSource();
+  }
   else if(i == IPField::VOLTAGE)
   {
     return getConstRefToVoltage();
@@ -5296,6 +5311,10 @@ double & ElecMagTherMechDG3DIPVariableBase::getRef(const int i)
     {
         return getRefToThermalSource();
     }
+    else if(i == IPField::ELECTRICALSOURCE)
+    {
+        return getRefToVoltageSource();
+    }
     else if(i == IPField::VOLTAGE)
     {
         return getRefToVoltage();
@@ -5955,6 +5974,16 @@ double NonLinearTVMDG3DIPVariable::get(const int i) const{
   else if (i == IPField::corKir_YY){return _ipViscoElastic->_kirchhoff(1,1);}
   else if (i == IPField::corKir_YZ){return _ipViscoElastic->_kirchhoff(1,2);}
   else if (i == IPField::corKir_ZZ){return _ipViscoElastic->_kirchhoff(2,2);}
+  else if (i == IPField::mandel_XX){return _ipViscoElastic->_ModMandel(0,0);}
+  else if (i == IPField::mandel_XY){return _ipViscoElastic->_ModMandel(0,1);}
+  else if (i == IPField::mandel_YX){return _ipViscoElastic->_ModMandel(1,0);}
+  else if (i == IPField::mandel_XZ){return _ipViscoElastic->_ModMandel(0,2);}
+  else if (i == IPField::mandel_ZX){return _ipViscoElastic->_ModMandel(2,0);}
+  else if (i == IPField::mandel_YY){return _ipViscoElastic->_ModMandel(1,1);}
+  else if (i == IPField::mandel_YZ){return _ipViscoElastic->_ModMandel(1,2);}
+  else if (i == IPField::mandel_ZY){return _ipViscoElastic->_ModMandel(2,1);}
+  else if (i == IPField::mandel_ZZ){return _ipViscoElastic->_ModMandel(2,2);}
+  else if (i == IPField::mandelCommuteChecker){return _ipViscoElastic->_mandelCommuteChecker;}
   else if (i == IPField::hyperElastic_BulkScalar){return _ipViscoElastic->getConstRefToElasticBulkPropertyScaleFactor();}
   else if (i == IPField::hyperElastic_ShearScalar){return _ipViscoElastic->getConstRefToElasticShearPropertyScaleFactor();}
   else if (i == IPField::corKirExtra_XX){return _ipViscoElastic->_corKirExtra(0,0);}
@@ -6353,6 +6382,16 @@ double NonLinearTVPDG3DIPVariable::get(const int i) const{
   else if (i == IPField::corKir_YY){return _ipViscoElastoPlastic->_kirchhoff(1,1);}
   else if (i == IPField::corKir_YZ){return _ipViscoElastoPlastic->_kirchhoff(1,2);}
   else if (i == IPField::corKir_ZZ){return _ipViscoElastoPlastic->_kirchhoff(2,2);}
+  else if (i == IPField::mandel_XX){return _ipViscoElastoPlastic->_ModMandel(0,0);}
+  else if (i == IPField::mandel_XY){return _ipViscoElastoPlastic->_ModMandel(0,1);}
+  else if (i == IPField::mandel_YX){return _ipViscoElastoPlastic->_ModMandel(1,0);}
+  else if (i == IPField::mandel_XZ){return _ipViscoElastoPlastic->_ModMandel(0,2);}
+  else if (i == IPField::mandel_ZX){return _ipViscoElastoPlastic->_ModMandel(2,0);}
+  else if (i == IPField::mandel_YY){return _ipViscoElastoPlastic->_ModMandel(1,1);}
+  else if (i == IPField::mandel_YZ){return _ipViscoElastoPlastic->_ModMandel(1,2);}
+  else if (i == IPField::mandel_ZY){return _ipViscoElastoPlastic->_ModMandel(2,1);}
+  else if (i == IPField::mandel_ZZ){return _ipViscoElastoPlastic->_ModMandel(2,2);}
+  else if (i == IPField::mandelCommuteChecker){return _ipViscoElastoPlastic->_mandelCommuteChecker;}
   else if (i == IPField::hyperElastic_BulkScalar){return _ipViscoElastoPlastic->getConstRefToElasticBulkPropertyScaleFactor();}
   else if (i == IPField::hyperElastic_ShearScalar){return _ipViscoElastoPlastic->getConstRefToElasticShearPropertyScaleFactor();}
   else if (i == IPField::corKirExtra_XX){return _ipViscoElastoPlastic->_corKirExtra(0,0);}
diff --git a/dG3D/src/dG3DIPVariable.h b/dG3D/src/dG3DIPVariable.h
index e8c05c2b14f7e34c42ea0958e053d454747b8d6f..f511ef0efafaa1724c406db2519f7921310a4fb5 100644
--- a/dG3D/src/dG3DIPVariable.h
+++ b/dG3D/src/dG3DIPVariable.h
@@ -4201,6 +4201,9 @@ class ElecTherMechDG3DIPVariableBase : public dG3DIPVariable
   virtual const double getConstRefTodThermalSourcedT() const {return getConstRefTodFieldSourcedField()(0,0);}
   virtual double &getRefTodThermalSourcedT() {return  getRefTodFieldSourcedField()(0,0);}
 
+  virtual const double getConstRefTodThermalSourcedV() const {return getConstRefTodFieldSourcedField()(0,1);}
+  virtual double &getRefTodThermalSourcedV() {return  getRefTodFieldSourcedField()(0,1);}
+
   virtual const  STensor3 &getConstRefTodThermalSourcedF() const {return getConstRefTodFieldSourcedF()[0];}
   virtual  STensor3 &getRefTodThermalSourcedF() {return getRefTodFieldSourcedF()[0];}
 
@@ -4210,6 +4213,18 @@ class ElecTherMechDG3DIPVariableBase : public dG3DIPVariable
   virtual const  SVector3 &getConstRefTodThermalSourcedGradT() const {return  dThermalSourcedGradT;}//dwdgradT
   virtual  SVector3 &getRefTodThermalSourcedGradT() {return  dThermalSourcedGradT;}*/
 
+  virtual const double getConstRefToVoltageSource() const {return getConstRefToFieldSource()(1);}
+  virtual double &getRefToVoltageSource() {return  getRefToFieldSource()(1);}
+
+  virtual const double getConstRefTodVoltageSourcedT() const {return getConstRefTodFieldSourcedField()(1,0);}
+  virtual double &getRefTodVoltageSourcedT() {return  getRefTodFieldSourcedField()(1,0);}
+
+  virtual const double getConstRefTodVoltageSourcedV() const {return getConstRefTodFieldSourcedField()(1,1);}
+  virtual double &getRefTodVoltageSourcedV() {return  getRefTodFieldSourcedField()(1,1);}
+
+  virtual const  STensor3 &getConstRefTodVoltageSourcedF() const {return getConstRefTodFieldSourcedF()[1];}
+  virtual  STensor3 &getRefTodVoltageSourcedF() {return getRefTodFieldSourcedF()[1];}
+
   virtual const double getConstRefTofT() const {return  getConstRefToEnergyConjugatedField(0);}
   virtual double &getRefTofT() {return getRefToEnergyConjugatedField(0);}
 
@@ -4650,6 +4665,20 @@ class ElecMagTherMechDG3DIPVariableBase : public dG3DIPVariable
     virtual const  STensor3 &getConstRefTodThermalSourcedF() const {return getConstRefTodFieldSourcedF()[0];}
     virtual  STensor3 &getRefTodThermalSourcedF() {return getRefTodFieldSourcedF()[0];}
 
+    // VoltageSource
+    virtual const double getConstRefToVoltageSource() const {return getConstRefToFieldSource()(1);}
+    virtual double &getRefToVoltageSource() {return  getRefToFieldSource()(1);}
+
+    virtual const double getConstRefTodVoltageSourcedT() const {return getConstRefTodFieldSourcedField()(1,0);}
+    virtual double &getRefTodVoltageSourcedT() {return  getRefTodFieldSourcedField()(1,0);}
+
+    virtual const double getConstRefTodVoltageSourcedV() const {return getConstRefTodFieldSourcedField()(1,1);}
+    virtual double &getRefTodVoltageSourcedV() {return  getRefTodFieldSourcedField()(1,1);}
+
+    virtual const  STensor3 &getConstRefTodVoltageSourcedF() const {return getConstRefTodFieldSourcedF()[1];}
+    virtual  STensor3 &getRefTodVoltageSourcedF() {return getRefTodFieldSourcedF()[1];}
+
+
     // fT
     virtual const double getConstRefTofT() const {return  getConstRefToEnergyConjugatedField(0);}
     virtual double &getRefTofT() {return getRefToEnergyConjugatedField(0);}
diff --git a/dG3D/src/dG3DMaterialLaw.cpp b/dG3D/src/dG3DMaterialLaw.cpp
index 880ee1733b6f08cc9174c0043c631f41d9819d00..6581f5ccd6bf5b94a465d4ac298bf542dd3faebb 100644
--- a/dG3D/src/dG3DMaterialLaw.cpp
+++ b/dG3D/src/dG3DMaterialLaw.cpp
@@ -9924,6 +9924,7 @@ void LinearElecTherMechDG3DMaterialLaw::stress(IPVariable* ipv, const IPVariable
   const double temperature = ipvcur->getConstRefToTemperature();
   const double T0 = ipvprev->getConstRefToTemperature();
   const double voltage = ipvcur->getConstRefToVoltage();
+  const double voltage0 = ipvprev->getConstRefToVoltage();
   const SVector3& gradT= ipvcur->getConstRefToGradT();
   const SVector3& gradV= ipvcur->getConstRefToGradV();
 
@@ -9987,7 +9988,7 @@ void LinearElecTherMechDG3DMaterialLaw::stress(IPVariable* ipv, const IPVariable
   IPLinearElecTherMech* q1 = ipvcur->getIPLinearElecTherMech();
   const IPLinearElecTherMech* q0 = ipvprev->getIPLinearElecTherMech();
 
-_lawLinearETM->constitutive(  F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
+_lawLinearETM->constitutive(  F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage0,voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
 			      dedV,dedgradV,dedT,dedgradT,dqdF,dedF,w,dwdt,dwdf,linearl10,linearl20,lineark10,lineark20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF
 			      ,fluxjy,djydV,djydgradV,djydT,djydgradT,djydF,djydgradVdT,djydgradVdV,djydgradVdF,djydgradTdT,djydgradTdV,djydgradTdF,stiff);
 
@@ -10121,6 +10122,7 @@ const bool checkfrac, const bool dTangent)
     const double temperature = ipvcur->getConstRefToTemperature();
     const double T0 = ipvprev->getConstRefToTemperature();
     const double voltage = ipvcur->getConstRefToVoltage();
+    const double voltage0 = ipvprev->getConstRefToVoltage();
     const SVector3& gradT= ipvcur->getConstRefToGradT();
     const SVector3& gradV= ipvcur->getConstRefToGradV();
 
@@ -10134,11 +10136,17 @@ const bool checkfrac, const bool dTangent)
     STensor33& dedF=ipvcur->getRefTodFluxjedF();
     STensor3& P=ipvcur->getRefToFirstPiolaKirchhoffStress();
     STensor43& Tangent=ipvcur->getRefToTangentModuli();
+    
     double &w_T = ipvcur->getRefToThermalSource();
     double &dw_TdT = ipvcur->getRefTodThermalSourcedT();
     double &dw_TdV = ipvcur->getRefTodThermalSourcedV();
     STensor3& dw_TdF = ipvcur->getRefTodThermalSourcedF();
 
+    double &w_V = ipvcur->getRefToThermalSource();
+    double &dw_VdT = ipvcur->getRefTodThermalSourcedT();
+    double &dw_VdV = ipvcur->getRefTodThermalSourcedV();
+    STensor3& dw_VdF = ipvcur->getRefTodThermalSourcedF();
+
     ipvcur->setRefToTherConductivity(this->lineark10);
     ipvcur->setRefToCrossTherConductivity(this->lineark20);
     ipvcur->setRefToElecConductivity(this->linearl10);
@@ -10277,9 +10285,9 @@ const bool checkfrac, const bool dTangent)
     double & dVoltageEMFieldSourcedV = ipvcur->getRefTodVoltageEMFieldSourcedV();
     SVector3 & dVoltageEMFieldSourcedGradV = ipvcur->getRefTodVoltageEMFieldSourcedGradV();
 
-    _lawLinearEMTM->constitutive(F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage,gradT, gradV,
+    _lawLinearEMTM->constitutive(F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage0,voltage,gradT, gradV,
     *fluxT,fluxje, dPdT,dPdV, *dqdgradT,*dqdT, *dqdgradV,*dqdV,dedV,dedgradV,dedT,dedgradT,*dqdF,dedF,
-    w_T,dw_TdT,dw_TdV,dw_TdF,linearl10,linearl20,lineark10,lineark20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
+    w_T,dw_TdT,dw_TdV,dw_TdF,w_V,dw_VdT,dw_VdV,dw_VdF,linearl10,linearl20,lineark10,lineark20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
     dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF,*fluxjy,*djydV,*djydgradV,*djydT,*djydgradT,
     *djydF,*djydA, *djydB, *djydgradVdT,*djydgradVdV,*djydgradVdF,*djydgradTdT,*djydgradTdV,*djydgradTdF,stiff,
     A0, An, B, H, js0, dBdT, dBdGradT, dBdV, dBdGradV, dBdF, dBdA, *dfluxTdA, dfluxjedA, *dfluxTdB, dfluxjedB, dw_TdA, dw_TdB, dmechSourcedB, sourceVectorField,
@@ -10429,6 +10437,7 @@ const bool checkfrac, const bool dTangent)
   const double temperature = ipvcur->getConstRefToTemperature();
   const double T0 = ipvprev->getConstRefToTemperature();
   const double voltage = ipvcur->getConstRefToVoltage();
+  const double voltage0 = ipvprev->getConstRefToVoltage();
   const SVector3& gradT= ipvcur->getConstRefToGradT();
   const SVector3& gradV= ipvcur->getConstRefToGradV();
 
@@ -10447,6 +10456,11 @@ const bool checkfrac, const bool dTangent)
   double &dw_TdV = ipvcur->getRefTodThermalSourcedV();
   STensor3& dw_TdF = ipvcur->getRefTodThermalSourcedF();
 
+  double &w_V = ipvcur->getRefToThermalSource();
+  double &dw_VdT = ipvcur->getRefTodThermalSourcedT();
+  double &dw_VdV = ipvcur->getRefTodThermalSourcedV();
+  STensor3& dw_VdF = ipvcur->getRefTodThermalSourcedF();
+
   ipvcur->setRefToTherConductivity(this->lineark10);
   ipvcur->setRefToCrossTherConductivity(this->lineark20);
   ipvcur->setRefToElecConductivity(this->linearl10);
@@ -10585,9 +10599,9 @@ const bool checkfrac, const bool dTangent)
   double & dVoltageEMFieldSourcedV = ipvcur->getRefTodVoltageEMFieldSourcedV();
   SVector3 & dVoltageEMFieldSourcedGradV = ipvcur->getRefTodVoltageEMFieldSourcedGradV();
 
-  _lawLinearEMInductor->constitutive(F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage,gradT, gradV,
+  _lawLinearEMInductor->constitutive(F0,Fn,P, q0, q1, Tangent,T0, temperature, voltage0,voltage,gradT, gradV,
     *fluxT,fluxje, dPdT,dPdV, *dqdgradT,*dqdT, *dqdgradV,*dqdV,dedV,dedgradV,dedT,dedgradT,*dqdF,dedF,
-    w_T,dw_TdT,dw_TdV,dw_TdF,linearl10,linearl20,lineark10,lineark20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
+    w_T,dw_TdT,dw_TdV,dw_TdF,w_V,dw_VdT,dw_VdV,dw_VdF,linearl10,linearl20,lineark10,lineark20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
     dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF,*fluxjy,*djydV,*djydgradV,*djydT,*djydgradT,
     *djydF, *djydA, *djydB, *djydgradVdT,*djydgradVdV,*djydgradVdF,*djydgradTdT,*djydgradTdV,*djydgradTdF,stiff,
     A0, An, B, H, js0, dBdT, dBdGradT, dBdV, dBdGradV, dBdF, dBdA, *dfluxTdA, dfluxjedA, *dfluxTdB, dfluxjedB, dw_TdA, dw_TdB, dmechSourcedB,
@@ -10697,6 +10711,7 @@ void mlawAnIsotropicElecTherMechDG3DMaterialLaw::stress(IPVariable* ipv, const I
   const double temperature = ipvcur->getConstRefToTemperature();
   const double T0          = ipvprev->getConstRefToTemperature();
   const double voltage = ipvcur->getConstRefToVoltage();
+  const double voltage0 = ipvprev->getConstRefToVoltage();
   const SVector3& gradT= ipvcur->getConstRefToGradT();
   const SVector3& gradV= ipvcur->getConstRefToGradV();
         STensor3& dPdT =ipvcur->getRefTodPdT();
@@ -10760,7 +10775,7 @@ void mlawAnIsotropicElecTherMechDG3DMaterialLaw::stress(IPVariable* ipv, const I
   IPAnIsotropicElecTherMech* q1 = ipvcur->getIPAnIsotropicElecTherMech();
   const IPAnIsotropicElecTherMech* q0 = ipvprev->getIPAnIsotropicElecTherMech();
 
-_lawETM->constitutive(  F0,Fn,P, q0, q1, Tangent, T0, temperature, voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
+_lawETM->constitutive(  F0,Fn,P, q0, q1, Tangent, T0, temperature, voltage0, voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
 	                djedV,djedgradV,djedT,djedgradT,dqdF,djedF,w,dwdT,dwdf,Lref10,Lref20,Kref10,Kref20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF
 			      ,fluxjy,djydV,djydgradV,djydT,djydgradT,djydF,djydgradVdT,djydgradVdV,djydgradVdF,djydgradTdT,djydgradTdV,djydgradTdF,stiff);
 
@@ -10886,6 +10901,7 @@ void mlawElecSMPDG3DMaterialLaw::stress(IPVariable* ipv, const IPVariable* ipvp,
   const double temperature = ipvcur->getConstRefToTemperature();
   const double T0          = ipvprev->getConstRefToTemperature();
   const double voltage = ipvcur->getConstRefToVoltage();
+  const double voltage0 = ipvprev->getConstRefToVoltage();
   const SVector3& gradT= ipvcur->getConstRefToGradT();
   const SVector3& gradV= ipvcur->getConstRefToGradV();
         STensor3& dPdT = ipvcur->getRefTodPdT();
@@ -10951,7 +10967,7 @@ void mlawElecSMPDG3DMaterialLaw::stress(IPVariable* ipv, const IPVariable* ipvp,
   IPElecSMP* q1 = ipvcur->getIPElecSMP();
   const IPElecSMP* q0 = ipvprev->getIPElecSMP();
 
-  _lawETMSMP->constitutive(  F0,Fn,P, q0, q1, Tangent, T0, temperature, voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
+  _lawETMSMP->constitutive(  F0,Fn,P, q0, q1, Tangent, T0, temperature, voltage0,voltage,gradT, gradV, fluxT,fluxV, dPdT,dPdV, dqdgradT,dqdT, dqdgradV,dqdV,
 			      dedV,dedgradV,dedT,dedgradT,dqdF,dedF,w,dwdT,dwdf,L10,L20,K10,K20,dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF
 			      ,fluxjy,djydV,djydgradV,djydT,djydgradT,djydF,djydgradVdT,djydgradVdV,djydgradVdF,djydgradTdT,djydgradTdV,djydgradTdF,stiff);
 
@@ -11324,6 +11340,7 @@ void ElecMagGenericThermoMechanicsDG3DMaterialLaw::stress(IPVariable*ipv, const
     const double temperature = ipvcur->getConstRefToTemperature();
     const double T0 = ipvprev->getConstRefToTemperature();
     const double voltage = ipvcur->getConstRefToVoltage();
+    const double voltage0 = ipvprev->getConstRefToVoltage();
     const SVector3& gradT= ipvcur->getConstRefToGradT();
     const SVector3& gradV= ipvcur->getConstRefToGradV();
 
@@ -11350,6 +11367,11 @@ void ElecMagGenericThermoMechanicsDG3DMaterialLaw::stress(IPVariable*ipv, const
     double &dw_TdV = ipvcur->getRefTodThermalSourcedV();
     STensor3& dw_TdF = ipvcur->getRefTodThermalSourcedF();
 
+    double &w_V = ipvcur->getRefToVoltageSource();
+    double &dw_VdT = ipvcur->getRefTodVoltageSourcedT();
+    double &dw_VdV = ipvcur->getRefTodVoltageSourcedV();
+    STensor3& dw_VdF = ipvcur->getRefTodVoltageSourcedF();
+
     double&  mechSource =  ipvcur->getRefToMechanicalSource()(0);
     double& dmechSourcedt = ipvcur->getRefTodMechanicalSourcedField()(0,0);
     double& dmechSourcedV = ipvcur->getRefTodMechanicalSourcedField()(0,1);
@@ -11495,11 +11517,11 @@ void ElecMagGenericThermoMechanicsDG3DMaterialLaw::stress(IPVariable*ipv, const
     SVector3 & dVoltageEMFieldSourcedGradV = ipvcur->getRefTodVoltageEMFieldSourcedGradV();
 
     _lawElecMagGenericThermoMech->constitutive(F0,Fn,P, P0, q0, q1, Tangent,T0, temperature,
-                                               voltage,gradT, gradV,*fluxT,fluxje,D,
+                                               voltage0,voltage,gradT, gradV,*fluxT,fluxje,D,
                                                dPdT,dPdV, dPdE, *dqdgradT,*dqdT, *dqdgradV,*dqdV,*dqdF,
                                                dedgradT,dedT,dedgradV,dedV,dedF,
                                                dDdgradT,dDdT,dDdgradV,dDdV,dDdF,
-                                               stiff, w_T,dw_TdT,dw_TdV,dw_TdF,linearl10,linearl20,
+                                               stiff, w_T,dw_TdT,dw_TdV,dw_TdF,w_V,dw_VdT,dw_VdV,dw_VdF,linearl10,linearl20,
                                                lineark10,lineark20,
                                                dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
                                                dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF,
@@ -11722,6 +11744,7 @@ void ElecMagInductorDG3DMaterialLaw::stress(IPVariable*ipv, const IPVariable*ipv
     const double temperature = ipvcur->getConstRefToTemperature();
     const double T0 = ipvprev->getConstRefToTemperature();
     const double voltage = ipvcur->getConstRefToVoltage();
+    const double voltage0 = ipvprev->getConstRefToVoltage();
     const SVector3& gradT= ipvcur->getConstRefToGradT();
     const SVector3& gradV= ipvcur->getConstRefToGradV();
 
@@ -11743,11 +11766,17 @@ void ElecMagInductorDG3DMaterialLaw::stress(IPVariable*ipv, const IPVariable*ipv
     STensor3& dPdV=ipvcur->getRefTodPdV();
     STensor33& dPdE=ipvcur->getRefTodPdGradV();
     STensor43& Tangent=ipvcur->getRefToTangentModuli();
+
     double &w_T = ipvcur->getRefToThermalSource();
     double &dw_TdT = ipvcur->getRefTodThermalSourcedT();
     double &dw_TdV = ipvcur->getRefTodThermalSourcedV();
     STensor3& dw_TdF = ipvcur->getRefTodThermalSourcedF();
 
+    double &w_V = ipvcur->getRefToVoltageSource();
+    double &dw_VdT = ipvcur->getRefTodVoltageSourcedT();
+    double &dw_VdV = ipvcur->getRefTodVoltageSourcedV();
+    STensor3& dw_VdF = ipvcur->getRefTodVoltageSourcedF();
+
     double&  mechSource =  ipvcur->getRefToMechanicalSource()(0);
     double& dmechSourcedt = ipvcur->getRefTodMechanicalSourcedField()(0,0);
     double& dmechSourcedV = ipvcur->getRefTodMechanicalSourcedField()(0,1);
@@ -11895,11 +11924,11 @@ void ElecMagInductorDG3DMaterialLaw::stress(IPVariable*ipv, const IPVariable*ipv
     SVector3 & dVoltageEMFieldSourcedGradV = ipvcur->getRefTodVoltageEMFieldSourcedGradV();
 
     _lawElecMagInductor->constitutive(F0,Fn,P, P0, q0, q1, Tangent,T0, temperature,
-                                      voltage,gradT, gradV,*fluxT,fluxje,D,
+                                      voltage0,voltage,gradT, gradV,*fluxT,fluxje,D,
                                       dPdT,dPdV, dPdE, *dqdgradT,*dqdT, *dqdgradV,*dqdV,*dqdF,
                                       dedgradT,dedT,dedgradV,dedV,dedF,
                                       dDdgradT,dDdT,dDdgradV,dDdV,dDdF,
-                                      stiff, w_T,dw_TdT,dw_TdV,dw_TdF,linearl10,linearl20,
+                                      stiff, w_T,dw_TdT,dw_TdV,dw_TdF,w_V,dw_VdT,dw_VdV,dw_VdF,linearl10,linearl20,
                                       lineark10,lineark20,
                                       dl10dT,dl20dT,dk10dT,dk20dT,dl10dv,
                                       dl20dv,dk10dv,dk20dv,dl10dF,dl20dF,dk10dF,dk20dF,
@@ -12037,6 +12066,9 @@ void NonLinearTVMDG3DMaterialLaw::useExtraBranchBool(const bool useExtraBranch){
 void NonLinearTVMDG3DMaterialLaw::useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option){
   _viscoLaw.useExtraBranchBool_TVE(useExtraBranch_TVE, ExtraBranch_TVE_option);
 };
+void NonLinearTVMDG3DMaterialLaw::useRotationCorrectionBool(const bool useRotationCorrection,  const int rotationCorrectionScheme){
+  _viscoLaw.useRotationCorrectionBool(useRotationCorrection,rotationCorrectionScheme);
+};
 void NonLinearTVMDG3DMaterialLaw::setVolumeCorrection(const double _vc, const double _xivc, const double _zetavc, const double _dc, const double _thetadc, const double _pidc){
   _viscoLaw.setVolumeCorrection(_vc,_xivc,_zetavc,_dc,_thetadc,_pidc);
 };
@@ -12868,6 +12900,9 @@ void NonLinearTVENonLinearTVPDG3DMaterialLaw::useExtraBranchBool(const bool useE
 void NonLinearTVENonLinearTVPDG3DMaterialLaw::useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option){
   _viscoLaw.useExtraBranchBool_TVE(useExtraBranch_TVE, ExtraBranch_TVE_option);
 };
+void NonLinearTVENonLinearTVPDG3DMaterialLaw::useRotationCorrectionBool(const bool useRotationCorrection,  const int rotationCorrectionScheme){
+  _viscoLaw.useRotationCorrectionBool(useRotationCorrection,rotationCorrectionScheme);
+};
 void NonLinearTVENonLinearTVPDG3DMaterialLaw::setVolumeCorrection(const double _vc, const double _xivc, const double _zetavc, const double _dc, const double _thetadc, const double _pidc){
   _viscoLaw.setVolumeCorrection(_vc,_xivc,_zetavc,_dc,_thetadc,_pidc);
 };
@@ -13009,3 +13044,299 @@ void NonLinearTVENonLinearTVPDG3DMaterialLaw::stress(IPVariable* ipv, const IPVa
 }
 
 // NonLinearTVENonLinearTVP Law Interface =================================================================== END
+
+
+// NonLinearTVENonLinearTVP2 Law Interface =================================================================== BEGIN
+
+NonLinearTVENonLinearTVP2DG3DMaterialLaw::NonLinearTVENonLinearTVP2DG3DMaterialLaw(const int num, const double rho, const double E, const double nu, const double tol,
+                        const double Tinitial, const double Alpha, const double KThCon, const double Cp,
+                        const bool matrixbyPerturbation, const double pert, const double stressIteratorTol, const bool thermalEstimationPreviousConfig):
+                        dG3DMaterialLaw(num,rho), _viscoLaw(num,E,nu,rho,tol,Tinitial,Alpha, KThCon, Cp, matrixbyPerturbation,pert, stressIteratorTol, thermalEstimationPreviousConfig)
+{
+  fillElasticStiffness(E, nu, elasticStiffness);   // Why are some of the variables defined in this constructor?  --- WHAT??
+};
+
+NonLinearTVENonLinearTVP2DG3DMaterialLaw::NonLinearTVENonLinearTVP2DG3DMaterialLaw(const NonLinearTVENonLinearTVP2DG3DMaterialLaw& src):  dG3DMaterialLaw(src), _viscoLaw(src._viscoLaw){};
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setStrainOrder(const int order){
+  _viscoLaw.setStrainOrder(order);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoelasticMethod(const int method){
+  _viscoLaw.setViscoelasticMethod(method);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticNumberOfElement(const int N){
+  _viscoLaw.setViscoElasticNumberOfElement(N);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData(const int i, const double Ei, const double taui){
+  _viscoLaw.setViscoElasticData(i,Ei,taui);
+};
+/*
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData(const int i, const double Ei, const double taui, const double Alphai){
+  _viscoLaw.setViscoElasticData(i,Ei,taui,Alphai);
+};*/
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData_Bulk(const int i, const double Ki, const double ki){
+  _viscoLaw.setViscoElasticData_Bulk(i,Ki,ki);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData_Shear(const int i, const double Gi, const double gi){
+  _viscoLaw.setViscoElasticData_Shear(i,Gi,gi);
+};
+/*
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData_Alpha(const int i, const double Alphai){
+  _viscoLaw.setViscoElasticData_Alpha(i,Alphai);
+};
+*/
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscoElasticData(const std::string filename){
+  _viscoLaw.setViscoElasticData(filename);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setIsotropicHardeningCoefficients(const double HR1, const double HR2, const double HR3){
+  _viscoLaw.setIsotropicHardeningCoefficients(HR1,HR2,HR3);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setPolynomialOrderChabocheCoeffs(const int order){
+  _viscoLaw.setPolynomialOrderChabocheCoeffs(order);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setPolynomialCoeffsChabocheCoeffs(const int i, const double val){
+  _viscoLaw.setPolynomialCoeffsChabocheCoeffs(i,val);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setReferenceTemperature(const double Tref){
+  _viscoLaw.setReferenceTemperature(Tref);
+};
+/*
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTempFuncOption(const double TemFuncOpt){           // To be discarded
+  _viscoLaw.setTempFuncOption(TemFuncOpt);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setModelOption(const int modelFlag){
+  _viscoLaw.setModelOption(modelFlag);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTestOption(const int testFlag){
+  _viscoLaw.setTestOption(testFlag);
+};
+*/
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setShiftFactorConstantsWLF(const double C1, const double C2){
+  _viscoLaw.setShiftFactorConstantsWLF(C1,C2);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_BulkModulus(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_BulkModulus(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_ShearModulus(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_ShearModulus(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_ThermalDilationCoefficient(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_ThermalDilationCoefficient(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_ThermalConductivity(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_ThermalConductivity(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_SpecificHeat(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_SpecificHeat(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_ElasticCorrection_Bulk(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_ElasticCorrection_Bulk(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_ElasticCorrection_Shear(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_ElasticCorrection_Shear(Tfunc);
+};
+/*
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_BranchBulkModuli(const scalarFunction& Tfunc, int i){
+  _viscoLaw.setTemperatureFunction_BranchBulkModuli(Tfunc,i);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_BranchShearModuli(const scalarFunction& Tfunc, int i){
+  _viscoLaw.setTemperatureFunction_BranchShearModuli(Tfunc,i);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_BranchThermalDilationCoefficient(const scalarFunction& Tfunc, int i){
+  _viscoLaw.setTemperatureFunction_BranchThermalDilationCoefficient(Tfunc,i);
+};
+*/
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setCompressionHardening(const J2IsotropicHardening& comp){
+  _viscoLaw.setCompressionHardening(comp);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTractionHardening(const J2IsotropicHardening& trac){
+  _viscoLaw.setTractionHardening(trac);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setKinematicHardening(const kinematicHardening& kin){
+  _viscoLaw.setKinematicHardening(kin);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setViscosityEffect(const viscosityLaw& v, const double p){
+  _viscoLaw.setViscosityEffect(v,p);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setMullinsEffect(const mullinsEffect& mullins){
+  _viscoLaw.setMullinsEffect(mullins);
+};
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setYieldPowerFactor(const double n){
+  _viscoLaw.setPowerFactor(n);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::nonAssociatedFlowRuleFactor(const double b){
+  _viscoLaw.nonAssociatedFlowRuleFactor(b);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setPlasticPoissonRatio(const double nup){
+  _viscoLaw.setPlasticPoissonRatio(nup);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setNonAssociatedFlow(const bool flag){
+  _viscoLaw.setNonAssociatedFlow(flag);
+};
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTaylorQuineyFactor(const double f, const bool flag){
+  _viscoLaw.setTaylorQuineyFactor(f, flag);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_InitialYieldStress(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_InitialYieldStress(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_Hardening(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_Hardening(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_KinematicHardening(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_KinematicHardening(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTemperatureFunction_Viscosity(const scalarFunction& Tfunc){
+  _viscoLaw.setTemperatureFunction_Viscosity(Tfunc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::useExtraBranchBool(const bool useExtraBranch){
+  _viscoLaw.useExtraBranchBool(useExtraBranch);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option){
+  _viscoLaw.useExtraBranchBool_TVE(useExtraBranch_TVE, ExtraBranch_TVE_option);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::useRotationCorrectionBool(const bool useRotationCorrection,  const int rotationCorrectionScheme){
+  _viscoLaw.useRotationCorrectionBool(useRotationCorrection,rotationCorrectionScheme);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setVolumeCorrection(const double _vc, const double _xivc, const double _zetavc, const double _dc, const double _thetadc, const double _pidc){
+  _viscoLaw.setVolumeCorrection(_vc,_xivc,_zetavc,_dc,_thetadc,_pidc);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setAdditionalVolumeCorrections(const double V3, const double V4, const double V5, const double D3, const double D4, const double D5){
+  _viscoLaw.setAdditionalVolumeCorrections(V3,V4,V5,D3,D4,D5);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setExtraBranch_CompressionParameter(const double compCorrection, const double compCorrection_2, const double compCorrection_3){
+  _viscoLaw.setExtraBranch_CompressionParameter(compCorrection,compCorrection_2,compCorrection_3);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setExtraBranchNLType(const int method){
+  _viscoLaw.setExtraBranchNLType(method);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setTensionCompressionRegularisation(const double tensionCompressionRegularisation){
+  _viscoLaw.setTensionCompressionRegularisation(tensionCompressionRegularisation);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setCorrectionsAllBranchesTVE(const int i, const double V0,const double V1, const double V2, const double D0,const double D1, const double D2){
+  _viscoLaw.setCorrectionsAllBranchesTVE(i,V0,V1,V2,D0,D1,D2);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setAdditionalCorrectionsAllBranchesTVE(const int i, const double V3, const double V4, const double V5, const double D3, const double D4, const double D5){
+  _viscoLaw.setAdditionalCorrectionsAllBranchesTVE(i,V3,V4,V5,D3,D4,D5);
+};
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::setCompressionCorrectionsAllBranchesTVE(const int i, const double Ci){
+  _viscoLaw.setCompressionCorrectionsAllBranchesTVE(i,Ci);
+};
+
+// Added extra argument in the NonLinearTVEDG3DIPVariable contructor - Tinitial   (added from LinearThermoMech)
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::createIPState(IPStateBase* &ips, bool hasBodyForce, const bool* state_,const MElement *ele, const int nbFF_, const IntPt *GP, const int gpt) const
+{
+  // check interface element
+  bool inter=true;
+  const MInterfaceElement *iele = dynamic_cast<const MInterfaceElement*>(ele);
+  if(iele==NULL) inter=false;
+  IPVariable* ipvi = new  NonLinearTVPDG3DIPVariable(_viscoLaw,_viscoLaw.getInitialTemperature(),hasBodyForce,inter);   // Why 3 times? --- WHAT??    Add getInitialTemperature in Material Law
+  IPVariable* ipv1 = new  NonLinearTVPDG3DIPVariable(_viscoLaw,_viscoLaw.getInitialTemperature(),hasBodyForce,inter);
+  IPVariable* ipv2 = new  NonLinearTVPDG3DIPVariable(_viscoLaw,_viscoLaw.getInitialTemperature(),hasBodyForce,inter);
+  if(ips != NULL) delete ips;
+  ips = new IP3State(state_,ipvi,ipv1,ipv2);
+}
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::createIPVariable(IPVariable* &ipv, bool hasBodyForce, const MElement *ele, const int nbFF_, const IntPt *GP, const int gpt) const
+{
+  if(ipv !=NULL) delete ipv;
+  bool inter=true;
+  const MInterfaceElement *iele = dynamic_cast<const MInterfaceElement*>(ele);
+  if(iele == NULL){
+    inter=false;
+  }
+  ipv = new  NonLinearTVPDG3DIPVariable(_viscoLaw,_viscoLaw.getInitialTemperature(),hasBodyForce,inter);
+}
+
+// 2 Member Functions added from LinearThermoMechanicsDG3DMaterialLaw  --  Add these functions in the material law
+double NonLinearTVENonLinearTVP2DG3DMaterialLaw::getExtraDofStoredEnergyPerUnitField(double T) const{
+  return _viscoLaw.getExtraDofStoredEnergyPerUnitField(T);
+}
+
+double NonLinearTVENonLinearTVP2DG3DMaterialLaw::getInitialExtraDofStoredEnergyPerUnitField() const{
+	return _viscoLaw.getInitialExtraDofStoredEnergyPerUnitField();
+};
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::checkInternalState(IPVariable* ipv, const IPVariable* ipvp) const{
+ // get ipvariable
+  NonLinearTVPDG3DIPVariable* ipvcur;
+  const NonLinearTVPDG3DIPVariable* ipvprev;
+  FractureCohesive3DIPVariable* ipvtmp = dynamic_cast<FractureCohesive3DIPVariable*>(ipv);
+  if(ipvtmp !=NULL)
+  {
+    ipvcur = static_cast<NonLinearTVPDG3DIPVariable*>(ipvtmp->getIPvBulk());
+    const FractureCohesive3DIPVariable *ipvtmp2 = static_cast<const FractureCohesive3DIPVariable*>(ipvp);
+    ipvprev = static_cast<const NonLinearTVPDG3DIPVariable*>(ipvtmp2->getIPvBulk());
+  }
+  else
+  {
+    ipvcur = static_cast<NonLinearTVPDG3DIPVariable*>(ipv);
+    ipvprev = static_cast<const NonLinearTVPDG3DIPVariable*>(ipvp);
+  }
+  _viscoLaw.checkInternalState(ipvcur->getInternalData(), ipvprev->getInternalData());
+};
+
+void NonLinearTVENonLinearTVP2DG3DMaterialLaw::stress(IPVariable* ipv, const IPVariable* ipvp, const bool stiff, const bool checkfrac, const bool dTangent){
+
+  // get ipvariable
+  NonLinearTVPDG3DIPVariable* ipvcur;
+  const NonLinearTVPDG3DIPVariable* ipvprev;
+  FractureCohesive3DIPVariable* ipvtmp = dynamic_cast<FractureCohesive3DIPVariable*>(ipv);
+  if(ipvtmp !=NULL)
+  {
+    ipvcur = static_cast<NonLinearTVPDG3DIPVariable*>(ipvtmp->getIPvBulk());
+    const FractureCohesive3DIPVariable *ipvtmp2 = static_cast<const FractureCohesive3DIPVariable*>(ipvp);
+    ipvprev = static_cast<const NonLinearTVPDG3DIPVariable*>(ipvtmp2->getIPvBulk());
+  }
+  else
+  {
+    ipvcur = static_cast<NonLinearTVPDG3DIPVariable*>(ipv);
+    ipvprev = static_cast<const NonLinearTVPDG3DIPVariable*>(ipvp);
+  }
+
+// All IP Variables passed to the Constitutive function defined in mlaw
+  const STensor3& F1       = ipvcur->getConstRefToDeformationGradient();
+  const STensor3& F0       = ipvprev->getConstRefToDeformationGradient();
+  const double T           = ipvcur->getConstRefToTemperature();
+  const double T0          = ipvprev->getConstRefToTemperature();
+  const SVector3& gradT0   = ipvprev->getConstRefToGradT();
+  const SVector3& gradT    = ipvcur->getConstRefToGradT();
+        STensor3& dPdT     = ipvcur->getRefTodPdT();
+        SVector3& fluxT    = ipvcur->getRefToThermalFlux();
+        STensor3& dqdgradT = ipvcur->getRefTodThermalFluxdGradT();
+        SVector3& dqdT     = ipvcur->getRefTodThermalFluxdT();
+        STensor33& dqdF    = ipvcur->getRefTodThermalFluxdF();
+
+        STensor3& P        = ipvcur->getRefToFirstPiolaKirchhoffStress();
+        STensor43& Tangent = ipvcur->getRefToTangentModuli();
+  const double& w0         = ipvprev->getConstRefToThermalSource();
+        double& w          = ipvcur->getRefToThermalSource();
+        double& dwdt       = ipvcur->getRefTodThermalSourcedField();
+        STensor3& dwdf     = ipvcur->getRefTodThermalSourcedF();
+  const SVector3& N        = ipvcur->getRefToReferenceOutwardNormal();
+  const SVector3& ujump    = ipvcur->getRefToJump()(0);
+  const double& Tjump      = ipvcur->getRefToFieldJump()(0);
+        double& Cp         = ipvcur->getRefToExtraDofFieldCapacityPerUnitField()(0);
+  const double& mechSource0 = ipvprev->getConstRefToMechanicalSource()(0);
+        double& mechSource = ipvcur->getRefToMechanicalSource()(0);
+        double& dmechSourcedt = ipvcur->getRefTodMechanicalSourcedField()(0,0);
+        STensor3& dmechSourcedf = ipvcur->getRefTodMechanicalSourcedF()[0];
+
+  // data for J2 law
+  IPNonLinearTVP* q1 = ipvcur->getIPNonLinearTVP();
+  const IPNonLinearTVP* q0 = ipvprev->getIPNonLinearTVP();
+  // static STensor63 dCalgdeps;
+  STensor43& elasticL = ipvcur->getRefToElasticTangentModuli();
+
+  // Compute Stress
+  _viscoLaw.constitutive(F0,F1,P,q0,q1,Tangent,T0,T,gradT0,gradT,fluxT,dPdT,dqdgradT,dqdT,dqdF,w,dwdt,dwdf,mechSource,dmechSourcedt,dmechSourcedf,stiff,&elasticL);
+
+  ipvcur->setRefToDGElasticTangentModuli(this->elasticStiffness);
+  ipvcur->setRefToLinearConductivity(_viscoLaw.getConductivityTensor());
+  ipvcur->setRefToStiff_alphaDilatation(_viscoLaw.getStiff_alphaDilatation());
+
+  Cp = _viscoLaw.getExtraDofStoredEnergyPerUnitField(T);
+}
+
+// NonLinearTVENonLinearTVP2 Law Interface =================================================================== END
diff --git a/dG3D/src/dG3DMaterialLaw.h b/dG3D/src/dG3DMaterialLaw.h
index fb0421e33e6c4cc11add62bf1f7f1e99afab6ef7..5eaa3b0fae4f7f6e695e49388279e3f219ab954d 100644
--- a/dG3D/src/dG3DMaterialLaw.h
+++ b/dG3D/src/dG3DMaterialLaw.h
@@ -58,6 +58,7 @@
 #include "mlawNonLinearTVE.h"
 #include "mlawNonLinearTVP.h"
 #include "mlawNonLinearTVENonLinearTVP.h"
+#include "mlawNonLinearTVENonLinearTVP2.h"
 #include "mullinsEffect.h"
 #include "mlawHyperelasticWithPotential.h"
 #endif
@@ -3249,6 +3250,7 @@ public:
     void setUseEMStress(const bool emStress);
     void setEMFieldDependentShearModulus(const bool EM_ShearModulus);
     void setEMFieldDependentShearModulusTestParameters(const double alpha_e,const double m_e,const double g1=0.);
+    void setCVoltage(double cVoltage){   _lawElecMagGenericThermoMech->setCVoltage(cVoltage);} 
 #ifndef SWIG
     ElecMagGenericThermoMechanicsDG3DMaterialLaw(const ElecMagGenericThermoMechanicsDG3DMaterialLaw &source);
     // set the time of _nldlaw
@@ -3409,6 +3411,7 @@ class NonLinearTVMDG3DMaterialLaw : public dG3DMaterialLaw{   // public Material
     void setShiftFactorConstantsWLF(const double C1, const double C2);
     void useExtraBranchBool(const bool useExtraBranch);
     void useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option);
+    void useRotationCorrectionBool(const bool useRotationCorrection, const int rotationCorrectionScheme);
     void setTemperatureFunction_BulkModulus(const scalarFunction& Tfunc);
     void setTemperatureFunction_ShearModulus(const scalarFunction& Tfunc);
     void setTemperatureFunction_ThermalDilationCoefficient(const scalarFunction& Tfunc);
@@ -3706,6 +3709,7 @@ class NonLinearTVENonLinearTVPDG3DMaterialLaw : public dG3DMaterialLaw{   // pub
     // void setTemperatureFunction_BranchThermalDilationCoefficient(const scalarFunction& Tfunc,int i);
     void useExtraBranchBool(const bool useExtraBranch);
     void useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option);
+    void useRotationCorrectionBool(const bool useRotationCorrection, const int rotationCorrectionScheme);
     void setVolumeCorrection(const double _vc, const double _xivc, const double _zetavc, const double _dc, const double _thetadc, const double _pidc);
     void setAdditionalVolumeCorrections(const double V3, const double V4, const double V5, const double D3, const double D4, const double D5);
     void setExtraBranch_CompressionParameter(const double compCorrection, const double compCorrection_2, const double compCorrection_3);
@@ -3774,4 +3778,115 @@ class NonLinearTVENonLinearTVPDG3DMaterialLaw : public dG3DMaterialLaw{   // pub
 
 // NonLinearTVENonLinearTVP Law Interface =================================================================== END
 
+// NonLinearTVENonLinearTVP2 Law Interface =================================================================== START
+
+class NonLinearTVENonLinearTVP2DG3DMaterialLaw : public dG3DMaterialLaw{   // public MaterialLaw
+  #ifndef SWIG
+  protected:
+    mlawNonLinearTVENonLinearTVP2 _viscoLaw;
+
+  #endif //SWIG
+  public:
+    NonLinearTVENonLinearTVP2DG3DMaterialLaw(const int num, const double rho, const double E, const double nu, const double tol,
+                        const double Tinitial, const double Alpha, const double KThCon, const double Cp,
+                        const bool matrixbyPerturbation = false, const double pert = 1e-8, const double stressIteratorTol = 1e-9, const bool thermalEstimationPreviousConfig = false);
+
+    void setStrainOrder(const int order);
+    void setViscoelasticMethod(const int method);
+    void setViscoElasticNumberOfElement(const int N);
+    void setViscoElasticData(const int i, const double Ei, const double taui);
+    // void setViscoElasticData(const int i, const double Ei, const double taui, const double Alphai);
+    void setViscoElasticData_Bulk(const int i, const double Ki, const double ki);
+    void setViscoElasticData_Shear(const int i, const double Gi, const double gi);
+    // void setViscoElasticData_Alpha(const int i, const double Alphai);
+    void setViscoElasticData(const std::string filename);
+    void setIsotropicHardeningCoefficients(const double HR1, const double HR2, const double HR3);
+    void setPolynomialOrderChabocheCoeffs(const int order);
+    void setPolynomialCoeffsChabocheCoeffs(const int i, const double val);
+
+    void setReferenceTemperature(const double Tref);
+    // void setTempFuncOption(const double TemFuncOpt);
+    // void setModelOption(const int modelFlag);
+    // void setTestOption(const int testFlag);
+    void setShiftFactorConstantsWLF(const double C1, const double C2);
+    void setTemperatureFunction_BulkModulus(const scalarFunction& Tfunc);
+    void setTemperatureFunction_ShearModulus(const scalarFunction& Tfunc);
+    void setTemperatureFunction_ThermalDilationCoefficient(const scalarFunction& Tfunc);
+    void setTemperatureFunction_ThermalConductivity(const scalarFunction& Tfunc);
+    void setTemperatureFunction_SpecificHeat(const scalarFunction& Tfunc);
+    void setTemperatureFunction_ElasticCorrection_Bulk(const scalarFunction& Tfunc);
+    void setTemperatureFunction_ElasticCorrection_Shear(const scalarFunction& Tfunc);
+    // void setTemperatureFunction_BranchBulkModuli(const scalarFunction& Tfunc,int i);
+    // void setTemperatureFunction_BranchShearModuli(const scalarFunction& Tfunc,int i);
+    // void setTemperatureFunction_BranchThermalDilationCoefficient(const scalarFunction& Tfunc,int i);
+    void useExtraBranchBool(const bool useExtraBranch);
+    void useExtraBranchBool_TVE(const bool useExtraBranch_TVE, const int ExtraBranch_TVE_option);
+    void useRotationCorrectionBool(const bool useRotationCorrection, const int rotationCorrectionScheme);
+    void setVolumeCorrection(const double _vc, const double _xivc, const double _zetavc, const double _dc, const double _thetadc, const double _pidc);
+    void setAdditionalVolumeCorrections(const double V3, const double V4, const double V5, const double D3, const double D4, const double D5);
+    void setExtraBranch_CompressionParameter(const double compCorrection, const double compCorrection_2, const double compCorrection_3);
+    void setExtraBranchNLType(const int type);
+    void setTensionCompressionRegularisation(const double tensionCompressionRegularisation);
+    void setCorrectionsAllBranchesTVE(const int i, const double V0,const double V1, const double V2, const double D0, const double D1, const double D2);
+    void setAdditionalCorrectionsAllBranchesTVE(const int i, const double V3, const double V4, const double V5, const double D3, const double D4, const double D5);
+    void setCompressionCorrectionsAllBranchesTVE(const int i, const double Ci);
+
+    void setCompressionHardening(const J2IsotropicHardening& comp);
+    void setTractionHardening(const J2IsotropicHardening& trac);
+    void setKinematicHardening(const kinematicHardening& kin);
+    void setViscosityEffect(const viscosityLaw& v, const double p);
+    void setMullinsEffect(const mullinsEffect& mullins);
+
+    void setYieldPowerFactor(const double n);
+    void nonAssociatedFlowRuleFactor(const double b);
+    void setPlasticPoissonRatio(const double nup);
+    void setNonAssociatedFlow(const bool flag);
+
+    void setTaylorQuineyFactor(const double f, const bool flag = false);
+    void setTemperatureFunction_InitialYieldStress(const scalarFunction& Tfunc);
+    void setTemperatureFunction_Hardening(const scalarFunction& Tfunc);
+    void setTemperatureFunction_KinematicHardening(const scalarFunction& Tfunc);
+    void setTemperatureFunction_Viscosity(const scalarFunction& Tfunc);
+
+    #ifndef SWIG
+     NonLinearTVENonLinearTVP2DG3DMaterialLaw(const NonLinearTVENonLinearTVP2DG3DMaterialLaw &source);
+    virtual ~NonLinearTVENonLinearTVP2DG3DMaterialLaw(){}
+    // set the time of _j2law
+    virtual void setTime(const double t,const double dtime){
+      dG3DMaterialLaw::setTime(t,dtime);
+      _viscoLaw.setTime(t,dtime);
+    }
+    virtual materialLaw::matname getType() const {return _viscoLaw.getType();}
+    virtual void createIPState(IPStateBase* &ips, bool hasBodyForce, const bool* state_=NULL,const MElement *ele=NULL, const int nbFF_=0, const IntPt *GP=NULL, const int gpt = 0) const;
+    virtual void createIPVariable(IPVariable* &ipv, bool hasBodyForce, const MElement *ele, const int nbFF_, const IntPt *GP, const int gpt) const;
+    virtual void initLaws(const std::map<int,materialLaw*> &maplaw){}
+    virtual double soundSpeed() const{return _viscoLaw.soundSpeed();} // or change value ??
+    virtual void stress(IPVariable*ipv, const IPVariable*ipvprev, const bool stiff=true, const bool checkfrac=true, const bool dTangent=false);
+    virtual const double bulkModulus() const {return _viscoLaw.bulkModulus();}
+    virtual double scaleFactor() const{return _viscoLaw.scaleFactor();}
+
+    virtual int getNumberOfExtraDofsDiffusion() const {return 1;}
+    virtual double getExtraDofStoredEnergyPerUnitField(double T) const;
+    virtual double getInitialExtraDofStoredEnergyPerUnitField() const;
+
+    virtual materialLaw* clone() const{return new NonLinearTVENonLinearTVP2DG3DMaterialLaw(*this);};
+    virtual void checkInternalState(IPVariable* ipv, const IPVariable* ipvprev) const;
+    virtual bool withEnergyDissipation() const {return _viscoLaw.withEnergyDissipation();};
+    virtual void setMacroSolver(const nonLinearMechSolver* sv){
+      dG3DMaterialLaw::setMacroSolver(sv);
+      _viscoLaw.setMacroSolver(sv);
+    };
+
+    virtual const materialLaw *getConstNonLinearSolverMaterialLaw() const
+    {
+      return &_viscoLaw;
+    }
+    virtual materialLaw *getNonLinearSolverMaterialLaw()
+    {
+      return &_viscoLaw;
+    }
+    #endif //SWIG
+};
+
+// NonLinearTVENonLinearTVP2 Law Interface =================================================================== END
 #endif
diff --git a/dG3D/src/dG3DTerms.cpp b/dG3D/src/dG3DTerms.cpp
index aa79bc80a2235fe96a35bee7f7d9fea727a67862..3d623bf743ea27d053ed7d263cbc936fee714b0c 100644
--- a/dG3D/src/dG3DTerms.cpp
+++ b/dG3D/src/dG3DTerms.cpp
@@ -794,7 +794,7 @@ void dG3DForceBulk::get(MElement *ele,int npts,IntPt *GP,fullVector<double> &vFo
           {
             vFor(j+nbFFTotalLastRow) += getConstitutiveExtraDofDiffusionEqRatio()*ratio*(Grads[j+nbFFTotalLastRow][m]*flux(m));
           }
-          if(extraDOFField==0)
+          //if(extraDOFField==0)
           { // corresponds to temperature, but when considering electro-mechanics, ???
             vFor(j+nbFFTotalLastRow) += getConstitutiveExtraDofDiffusionEqRatio()*ratio*(w*Vals[j+nbFFTotalLastRow]);// related to cp
           }
@@ -862,10 +862,10 @@ void dG3DForceBulk::get(MElement *ele,int npts,IntPt *GP,fullVector<double> &vFo
 
 void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &mStiff) const
 {
-  dG3DStiffnessBulk::get(ele, npts, GP, mStiff, true);
+  dG3DStiffnessBulk::get(ele, npts, GP, mStiff, true, false);
 }
 
-void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &mStiff, bool considerNonElasticOnes) const
+void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &mStiff, bool considerNonElasticOnes, bool removeDamage ) const
 {
   if (sym)
   {
@@ -993,6 +993,18 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
       
       // MECA-MECA 
       const STensor43 *H =&ipv->getConstRefToTangentModuli();
+      double damageCorrection=1.;
+      if (not(considerNonElasticOnes))
+      {
+        H = &ipv->getConstRefToElasticTangentModuli();
+        if(removeDamage)
+        {
+          double damageFromInitialState=ipv->get(IPField::DAMAGE);
+          if(damageFromInitialState>0.999)
+            damageFromInitialState=0.999;
+          damageCorrection=1./(1.-damageFromInitialState);
+        }
+      }
       //
       static SVector3 B;
       static SVector3 BT;
@@ -1025,7 +1037,7 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                   {
                     for(int p=0; p<3; p++)
                     {
-                      mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += ratio*(BT(m)*H->operator()(kk,m,ii,p)*dBarFdu[i][k](ii,p,ll));                     
+                      mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += ratio*(BT(m)*damageCorrection*H->operator()(kk,m,ii,p)*dBarFdu[i][k](ii,p,ll));                     
                     }
                   }                                
                 }
@@ -1045,7 +1057,7 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                 {
                   for(int n=0; n<3; n++)
                   {
-                    mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += ratio*(BT(m)*H->operator()(kk,m,ll,n)*B(n));
+                    mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += ratio*(BT(m)*damageCorrection*H->operator()(kk,m,ll,n)*B(n));
                   }
                 }
                 // for high order
@@ -1470,15 +1482,15 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
               double dwdt = 0.;
               if (getConstitutiveExtraDofDiffusionAccountFieldSource())
               {
-                if(extraDOFField==0 && extraDOFField2==0){
+                //if(extraDOFField==0 && extraDOFField2==0){
                   dwdt += ipv->getConstRefTodFieldSourcedField()(extraDOFField,extraDOFField2);
-                }
+                //}
               }
               if (getConstitutiveExtraDofDiffusionAccountMecaSource())
               {
-                if(extraDOFField==0 && extraDOFField2==0){
+                //if(extraDOFField==0 && extraDOFField2==0){
                   dwdt += ipv->getConstRefTodMechanicalSourcedField()(extraDOFField,extraDOFField2);
-                }
+                //}
               }
               for(int j=0;j<nbFFRow; j++)
               {
@@ -1505,8 +1517,8 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                       }
                     }
                   }
-                  if(extraDOFField==0 && extraDOFField2==0) 
-                    mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol)+= getConstitutiveExtraDofDiffusionEqRatio()*ratio*dwdt*dFielddEnergyConjugatedField1*
+                  //if(extraDOFField==0 && extraDOFField2==0) 
+                  mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol)+= getConstitutiveExtraDofDiffusionEqRatio()*ratio*dwdt*dFielddEnergyConjugatedField1*
                                 Vals[j+nbFFTotalLastRow]*Vals[k+nbFFTotalLastCol];// related to cp
                 }
               }
@@ -1530,44 +1542,44 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
               const STensor3  &dFluxdGradField = ipv->getConstRefTodFluxdGradField()[extraDOFField][extraDOFField2]; //in reference conf
               const SVector3  &dFluxdField     = ipv->getConstRefTodFluxdField()[extraDOFField][extraDOFField2]; //in reference conf
 
-              double dwdt = 0.;
-              double dwdV = 0.0;
+              double dwdField = 0.;
+              //double dwdV = 0.0;
               if (getConstitutiveExtraDofDiffusionAccountFieldSource())
               {
-                if(extraDOFField==0 && extraDOFField2==0)
-                {
-                  dwdt += ipv->getConstRefTodFieldSourcedField()(extraDOFField,extraDOFField2);
-                }
-                if (extraDOFField == 0 && extraDOFField2 == 1)
+                //if(extraDOFField==0 && extraDOFField2==0)
                 {
-                    dwdV += ipv->getConstRefTodFieldSourcedField()(extraDOFField,extraDOFField2);
+                  dwdField += ipv->getConstRefTodFieldSourcedField()(extraDOFField,extraDOFField2);
                 }
+                //if (extraDOFField == 0 && extraDOFField2 == 1)
+                //{
+                //    dwdV += ipv->getConstRefTodFieldSourcedField()(extraDOFField,extraDOFField2);
+                //}
               }
               if (getConstitutiveExtraDofDiffusionAccountMecaSource())
               {
-                if(extraDOFField==0 && extraDOFField2==0)
-                {
-                  dwdt += ipv->getConstRefTodMechanicalSourcedField()(extraDOFField,extraDOFField2);
-                }
-                if (extraDOFField == 0 && extraDOFField2 == 1)
-                {
-                  dwdV += ipv->getConstRefTodMechanicalSourcedField()(extraDOFField,extraDOFField2);
-                }
+                //if(extraDOFField==0 && extraDOFField2==0)
+                //{
+                  dwdField += ipv->getConstRefTodMechanicalSourcedField()(extraDOFField,extraDOFField2);
+                //}
+                //if (extraDOFField == 0 && extraDOFField2 == 1)
+                //{
+                //  dwdV += ipv->getConstRefTodMechanicalSourcedField()(extraDOFField,extraDOFField2);
+                //}
               }
-              SVector3 dw_AVdGradT(0.0);
-              SVector3 dw_AVdGradV(0.0);
-              double dw_AVdT = 0.0;
+              SVector3 dw_AVdGradField(0.0);
+              //SVector3 dw_AVdGradV(0.0);
+              double dw_AVdField = 0.0;
               if (getConstitutiveCurlAccountFieldSource())
               {
-                  if (extraDOFField == 0 && extraDOFField2 == 0)
-                  {
-                      dw_AVdT += ipv->getConstRefTodEMFieldSourcedField()(extraDOFField,extraDOFField2);
-                      dw_AVdGradT += ipv->getConstRefTodEMFieldSourcedGradField()[extraDOFField][extraDOFField2];
-                  }
-                  if (extraDOFField == 0 && extraDOFField2 == 1)
-                  {
-                      dw_AVdGradV += ipv->getConstRefTodEMFieldSourcedGradField()[extraDOFField][extraDOFField2];
-                  }
+                  //if (extraDOFField == 0 && extraDOFField2 == 0)
+                  //{
+                      dw_AVdField += ipv->getConstRefTodEMFieldSourcedField()(extraDOFField,extraDOFField2);
+                      dw_AVdGradField += ipv->getConstRefTodEMFieldSourcedGradField()[extraDOFField][extraDOFField2];
+                  //}
+                  //if (extraDOFField == 0 && extraDOFField2 == 1)
+                  //{
+                  //    dw_AVdGradV += ipv->getConstRefTodEMFieldSourcedGradField()[extraDOFField][extraDOFField2];
+                  //}
               }
               for(int j=0;j<nbFFRow; j++)
               {
@@ -1583,6 +1595,14 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                     }
                   }
                
+                  mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol)+=getConstitutiveExtraDofDiffusionEqRatio()*ratio*dwdField*Vals[j+nbFFTotalLastRow]*Vals[k+nbFFTotalLastCol];
+                  mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += getConstitutiveExtraDofDiffusionEqRatio()*ratio*dw_AVdField*Vals[j+nbFFTotalLastRow]*Vals[k+nbFFTotalLastCol];
+                  for (unsigned int m = 0; m < 3; ++m)
+                  {
+                     mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += getConstitutiveExtraDofDiffusionEqRatio()*ratio*Vals[j+nbFFTotalLastRow]*
+                                                                           dw_AVdGradField.operator()(m)*Grads[k+nbFFTotalLastCol][m];
+                  }
+                  /*
                   if(extraDOFField==0 && extraDOFField2==0)
                   {
                       // related to cp
@@ -1605,7 +1625,7 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                           mStiff(j+nbFFTotalLastRow,k+nbFFTotalLastCol) += getConstitutiveExtraDofDiffusionEqRatio()*ratio*Vals[j+nbFFTotalLastRow]*
                                                                            dw_AVdGradV.operator()(m)*Grads[k+nbFFTotalLastCol][m];
                       }
-                  }
+                  }*/
                 }
               }
             }
@@ -1626,21 +1646,21 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
 
           if (getConstitutiveExtraDofDiffusionAccountFieldSource())
           {
-            if(extraDOFField==0)
-            {
+            //if(extraDOFField==0)
+            //{
               dwdf += ipv->getConstRefTodFieldSourcedF()[extraDOFField];
-            }
+            //}
           }
           if (getConstitutiveExtraDofDiffusionAccountMecaSource())
           {
-            if(extraDOFField==0)
-            {
+            //if(extraDOFField==0)
+            //{
               dwdf += ipv->getConstRefTodMechanicalSourcedF()[extraDOFField];
-            }
+            //}
           }
           if (getConstitutiveCurlAccountFieldSource())
           {
-              if (extraDOFField==0)
+              //if (extraDOFField==0)
                   dwdf += ipv->getConstRefTodEMFieldSourcedF()[extraDOFField]; // related to EM heat source from eddy + hysteresis loss
           }
           
@@ -1765,7 +1785,7 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
               SVector3 dw_AVdVectorPotential(0.0);
               SVector3 dw_AVdVectorCurl(0.0);
 
-              if (extraDOFField == 0)
+              //if (extraDOFField == 0)
               {
                   if (getConstitutiveExtraDofDiffusionAccountFieldSource())
                   {
@@ -1801,7 +1821,7 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
                                                                                         CurlcurlVals[k+numEdgeShapeFuncTotalLastCol][n]);
                           }
 
-                          if (extraDOFField == 0)
+                          //if (extraDOFField == 0)
                           {
                               for (unsigned int l = 0; l < 3; ++l)
                               {
@@ -2091,10 +2111,17 @@ void dG3DStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double>
 
 void dG3DElasticStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &mStiff) const
 {
-    dG3DStiffnessBulk::get(ele, npts, GP, mStiff, false);
+    dG3DStiffnessBulk::get(ele, npts, GP, mStiff, false, false);
+  //mStiff.print("Elastic bulk");
+}
+
+void dG3DUndamagedElasticStiffnessBulk::get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &mStiff) const
+{
+    dG3DStiffnessBulk::get(ele, npts, GP, mStiff, false, true);
   //mStiff.print("Elastic bulk");
 }
 
+
 void dG3DForceInter::get(MElement *ele, int npts, IntPt *GP, fullVector<double> &m)const
 {
   MInterfaceElement *ie = dynamic_cast<MInterfaceElement*>(ele);
diff --git a/dG3D/src/dG3DTerms.h b/dG3D/src/dG3DTerms.h
index 5124af3269190c1ff9e0603d5d86c9d35be16983..01f7936e4d4079988cbe26eb64be0ea6651ced2d 100644
--- a/dG3D/src/dG3DTerms.h
+++ b/dG3D/src/dG3DTerms.h
@@ -572,7 +572,7 @@ class dG3DStiffnessBulk : public g3DBilinearTerm<double,double>
   virtual void set(const fullVector<double> *datafield){}
   
   virtual void get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &m) const;
-  virtual void get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &m, bool considerNonElasticOnes) const;
+  virtual void get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &m, bool considerNonElasticOnes, bool removeDamage) const;
 
   virtual void get(MElement *ele, int npts, IntPt *GP, std::vector<fullMatrix<double> > &mv) const
   {
@@ -607,7 +607,7 @@ class dG3DElasticStiffnessBulk : public dG3DStiffnessBulk{
     virtual void get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &m) const;
     virtual void get(MElement *ele, int npts, IntPt *GP, std::vector<fullMatrix<double> > &mv) const
     {
-      Msg::Error("Define me get by gauss point dG3DStiffnessBulk");
+      Msg::Error("Define me get by gauss point dG3DElasticStiffnessBulk");
     }
     virtual BilinearTermBase* clone () const
     {
@@ -628,6 +628,36 @@ class dG3DElasticStiffnessBulk : public dG3DStiffnessBulk{
     }
 };
 
+class dG3DUndamagedElasticStiffnessBulk : public dG3DStiffnessBulk{
+  public:
+    dG3DUndamagedElasticStiffnessBulk(FunctionSpace<double>& space1_,FunctionSpace<double>& space2_, const materialLaw* mlaw,
+                                  bool FullDG, const IPField *ip)  :dG3DStiffnessBulk(space1_,space2_,mlaw,FullDG,ip){};
+    dG3DUndamagedElasticStiffnessBulk(FunctionSpace<double>& space1_, const materialLaw* mlaw,
+                                  bool FullDG,const IPField *ip): dG3DStiffnessBulk(space1_,mlaw,FullDG,ip){}
+    virtual ~dG3DUndamagedElasticStiffnessBulk(){}
+    virtual void get(MElement *ele,int npts,IntPt *GP,fullMatrix<double> &m) const;
+    virtual void get(MElement *ele, int npts, IntPt *GP, std::vector<fullMatrix<double> > &mv) const
+    {
+      Msg::Error("Define me get by gauss point dG3DUndamagedElasticStiffnessBulk");
+    }
+    virtual BilinearTermBase* clone () const
+    {
+      dG3DUndamagedElasticStiffnessBulk *DG= new dG3DUndamagedElasticStiffnessBulk(space1,_mlaw,_fullDg,_ipf);
+      DG->setDim(this->getDim());
+      DG->setNonLocalEqRatio(this->getNonLocalEqRatio());
+      DG->setNumNonLocalVariable(this->getNumNonLocalVariable());
+      DG->setNumConstitutiveExtraDofDiffusionVariable(this->getNumConstitutiveExtraDofDiffusionVariable());
+      DG->setNumConstitutiveCurlVariable(this->getNumConstitutiveCurlVariable());
+      DG->setConstitutiveExtraDofDiffusionEqRatio(this->getConstitutiveExtraDofDiffusionEqRatio());
+      DG->setConstitutiveCurlEqRatio(this->getConstitutiveCurlEqRatio());
+      DG->setConstitutiveExtraDofDiffusionUseEnergyConjugatedField(this->getConstitutiveExtraDofDiffusionUseEnergyConjugatedField());
+      DG->setConstitutiveExtraDofDiffusionAccountFieldSource(this->getConstitutiveExtraDofDiffusionAccountFieldSource());
+      DG->setConstitutiveExtraDofDiffusionAccountMecaSource(this->getConstitutiveExtraDofDiffusionAccountMecaSource());
+      DG->setConstitutiveCurlAccountFieldSource(this->getConstitutiveCurlAccountFieldSource());
+      DG->setConstitutiveCurlAccountMecaSource(this->getConstitutiveCurlAccountMecaSource());
+      return DG;
+    }
+};
 
 class dG3DForceInter : public dG3DLinearTerm<double>
 {
diff --git a/dG3D/src/nonLocalDamageDG3DIPVariable.cpp b/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
index 84e65dc7c5104fa3cdb8085f3a55e0baf21ce1b0..425c88eaa072107b09f3e7343159ce7953aef861 100644
--- a/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
+++ b/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
@@ -335,6 +335,7 @@ nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable& nonLocalDamageTorchANNDG3DIP
 #else
   Msg::Error("NOT COMPILED WITH TORCH");
 #endif
+  return *this;
 }
 nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable::~nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable()
 {