diff --git a/NonLinearSolver/internalPoints/ipField.cpp b/NonLinearSolver/internalPoints/ipField.cpp
index 922e0fdd50d563c98d63c07ee68fd0e32a3ea7f4..ef374c7d9c7a8a81eaa47b1a3447b447584b0c8d 100644
--- a/NonLinearSolver/internalPoints/ipField.cpp
+++ b/NonLinearSolver/internalPoints/ipField.cpp
@@ -1160,6 +1160,11 @@ std::string IPField::ToString(const int i){
   else if (i == DEPLAST_ZZ_DEPSILON_XX) return "DEPLAST_ZZ_DEPSILON_XX";
   else if (i == DEPLAST_XY_DEPSILON_XX) return "DEPLAST_XY_DEPSILON_XX";
   
+  //strain increments (added on 21/05/2025)
+  else if (i == DEPSILON_XX) return "DEPSILON_XX";
+  else if (i == DEPSILON_YY) return "DEPSILON_YY";
+  else if (i == DEPSILON_XY) return "DEPSILON_XY";
+  
   else{
     Msg::Warning("This IP field %d is not defined in IPField::ToString(%d)",i,i);
     return "UNDEFINED";
diff --git a/NonLinearSolver/internalPoints/ipField.h b/NonLinearSolver/internalPoints/ipField.h
index c19e5143813beb01aab955ba95b145b295ea7bb4..3b0817f82627df830d8e0dfb72111f5264984ca8 100644
--- a/NonLinearSolver/internalPoints/ipField.h
+++ b/NonLinearSolver/internalPoints/ipField.h
@@ -358,6 +358,8 @@ class IPField : public elementsField {
                     DSIGMAREC_XX_DEPSILON_XX, DSIGMAREC_YY_DEPSILON_XX,DSIGMAREC_ZZ_DEPSILON_XX,DSIGMAREC_XY_DEPSILON_XX,
                     //DEplastDE (we start in 1D so only 4 components for the plastic strain: Eplast_XX, Eplast_YY, Eplast_ZZ, Eplast_XY and 1 component for epsilon: epsilon_XX)
                     DEPLAST_XX_DEPSILON_XX, DEPLAST_YY_DEPSILON_XX, DEPLAST_ZZ_DEPSILON_XX, DEPLAST_XY_DEPSILON_XX,
+                    //strain increments
+                    DEPSILON_XX, DEPSILON_YY, DEPSILON_XY,
                     UNDEFINED};
     enum  Operator { MEAN_VALUE=1, MIN_VALUE, MAX_VALUE, CRUDE_VALUE};
     static std::string ToString(const int i);
diff --git a/dG3D/benchmarks/CMakeLists.txt b/dG3D/benchmarks/CMakeLists.txt
index a8bac20312d23f884d729b4b54b58346e5953562..aab93ade9be20136eda28c8f2d495f2a50793dda 100644
--- a/dG3D/benchmarks/CMakeLists.txt
+++ b/dG3D/benchmarks/CMakeLists.txt
@@ -254,7 +254,9 @@ add_subdirectory(torchSCMRUT)
 add_subdirectory(torchSCMRUI)
 add_subdirectory(torchSMRU)
 add_subdirectory(torchUniaxial)
+add_subdirectory(torchNonLocal)
 add_subdirectory(testPBCWithReducedRVE)
+add_subdirectory(stochDMN)
 add_subdirectory(switchSystem)
 add_subdirectory(switchSystem_quadDispLinNonlocal)
 add_subdirectory(GenericPerturbationMaterialLaw)
diff --git a/dG3D/benchmarks/stochDMN/CMakeLists.txt b/dG3D/benchmarks/stochDMN/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..6e37d22ef3725da0a76868db3a5b98846b5a8147
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/CMakeLists.txt
@@ -0,0 +1,9 @@
+# test file
+
+set(PYFILE SimulationDMN.py)
+
+set(FILES2DELETE 
+  rve1_Level4_ShearRes.csv
+)
+
+add_cm3python_test(${PYFILE} "${FILES2DELETE}")
diff --git a/dG3D/benchmarks/stochDMN/NNW_Tool.py b/dG3D/benchmarks/stochDMN/NNW_Tool.py
new file mode 100755
index 0000000000000000000000000000000000000000..84919c7f696445751c3bffe335483ae28688ef1a
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/NNW_Tool.py
@@ -0,0 +1,247 @@
+import torch.nn as nn
+import torch.nn.functional as F
+import pandas as pd
+import random
+from PIL import Image as im
+import torch
+from os import listdir
+from os.path import isfile, join
+import numpy as np
+
+    
+     
+######## Strain (E_00,E_11,E_22, 2*E_01,2*E_02,2*E_12) ##############
+class BasicMat(nn.Module):        
+        
+  def __init__(self,level,pos):
+    super(BasicMat,self).__init__()
+    self.N_mat = 2
+    self.level = level
+    self.pos = pos
+    self.N_Interface = 1
+     
+                      
+  def FillMatrix_Ns_NT(self,angle):
+    Ns = torch.zeros(6*self.N_Interface, 3*self.N_Interface)
+    angle1 = torch.zeros(1)    # for 2D     
+    N0 = torch.cos(angle1) * torch.sin(2.0*np.pi*angle)
+    N1 = torch.cos(angle1) * torch.cos(2.0*np.pi*angle)
+    N2 = torch.sin(angle1) # for 2D
+    
+    Ns[0, 0] = N0
+    Ns[1, 1] = N1
+    Ns[2, 2] = N2   
+    Ns[3, 0] = N1
+    Ns[3, 1] = N0
+    Ns[4, 0] = N2
+    Ns[4, 2] = N0
+    Ns[5, 1] = N2
+    Ns[5, 2] = N1
+                
+    return Ns
+    
+  def forward(self, C, W1, Para_N):    
+      W0 = 1.0 - W1
+      Para = Para_N[self.pos]  
+      angle = Para_N[self.pos][0]    
+      Ns = self.FillMatrix_Ns_NT(angle)
+      NT = torch.t(Ns)
+      K = C[0]/W0 + C[1]/W1
+      M_KNs = torch.einsum('ik,kj->ij', K, Ns) 
+      M_NKN = torch.einsum('ik,kj->ij', NT, M_KNs) 
+      invM = torch.linalg.inv(M_NKN)
+      M = torch.einsum('ik,kj->ij', invM, NT)  
+      M = torch.einsum('ik,kj->ij', M, (C[1]-C[0])) 
+      M = torch.einsum('ik,kj->ij', Ns, M)
+      M = torch.einsum('ik,kj->ij', (C[0]-C[1]), M)      
+      
+      Ch = C[0]*W0 + C[1]*W1 + M 
+      return Ch
+
+
+##################################################
+##################################################
+class Mat_Net_VF(nn.Module):             
+  def __init__(self, Total_level:int, level:int, pos:int, void=False):
+    super(Mat_Net_VF,self).__init__()
+    self.N_mat = 2
+    self.Total_level = Total_level
+    self.level = level
+    self.N_Interface = 1
+    self.Dim = 2
+    self.void=void
+    if(self.level == 0):      
+      self.pos = 0
+      self.locPos = 0
+      
+      self.NTotal_Interface = np.power(self.N_mat, self.Total_level) -1
+      self.N_W = np.power(2, self.Total_level-1)-1
+      # create control matrix
+      self.N_entry = 9
+
+    else:  
+      self.pos = pos
+      self.locPos = pos + 1- np.power(self.N_mat,self.level)
+      
+    self.mat = []
+    level = self.level+1
+    for i in range(self.N_mat):
+      if(level==self.Total_level-1):
+        if(self.void):
+          self.mat.append(VoidMat(self.Total_level,level,2*self.pos+1+i))
+        else:
+          self.mat.append(BasicMat(level,2*self.pos+1+i))
+      else:  
+        self.mat.append(Mat_Net_VF(self.Total_level,level,2*self.pos+1+i, self.void))
+        
+    if(self.level == 0):       
+      self.Para_N = nn.Parameter(6.0*torch.rand((self.NTotal_Interface,self.Dim-1))-3.0)
+      if(self.void):
+        self.Para_W = nn.Parameter(6.0*torch.rand((self.NTotal_Interface,self.N_mat))-3.0)
+      else:
+        self.Para_W = nn.Parameter(torch.rand((self.N_W,self.N_mat)))     
+    else:
+      self.Para_N = None
+      self.Para_W = None     
+          
+    self.act = nn.Sigmoid()       
+      
+  def FillMatrix_Ns_NT(self,angle):
+    Ns = torch.zeros(6*self.N_Interface, 3*self.N_Interface)
+    angle1 = torch.zeros(1)   # for 2D     
+    N0 = torch.cos(angle1) * torch.sin(2.0*np.pi*angle)
+    N1 = torch.cos(angle1) * torch.cos(2.0*np.pi*angle)
+    N2 = torch.sin(angle1) # for 2D
+    
+    Ns[0, 0] = N0
+    Ns[1, 1] = N1
+    Ns[2, 2] = N2   
+    Ns[3, 0] = N1
+    Ns[3, 1] = N0
+    Ns[4, 0] = N2
+    Ns[4, 2] = N0
+    Ns[5, 1] = N2
+    Ns[5, 2] = N1
+                
+    return Ns   
+         
+      
+      
+  def forward(self, C, Vf, Para_N=None, Para_W=None):
+    if(self.Para_N != None):
+      Para_N = self.act(self.Para_N)
+      Para_W = self.act(self.Para_W)
+            
+    if(self.level == 0):
+      CHom = [] 
+      for i in range(C.size()[0]):
+        V1 = Vf[i]            
+        W0tmp = Para_W[self.pos][0]
+        W1tmp = Para_W[self.pos][1]
+        angle = Para_N[self.pos][0]
+        Ns= self.FillMatrix_Ns_NT(angle)
+        NT = torch.t(Ns)
+        Vm = 1.0 - V1  
+        W = (Vm*W0tmp + V1*W1tmp, Vm*(1.0-W0tmp) + V1*(1.0-W1tmp))
+        W1 = (V1*W1tmp/W[0], V1*(1.0-W1tmp)/W[1]) 
+        Cmat = [] 
+        for k in range(self.N_mat):      
+          Cmat.append(self.mat[k](C[i],W1[k],Para_N, Para_W))
+   
+        K = Cmat[0]/W[0] + Cmat[1]/W[1]        
+        M_KNs = torch.einsum('ik,kj->ij', K, Ns) 
+        M_NKN = torch.einsum('ik,kj->ij', NT, M_KNs) 
+        invM = torch.linalg.inv(M_NKN)
+        M = torch.einsum('ik,kj->ij', invM, NT)  
+        M = torch.einsum('ik,kj->ij', M, (Cmat[1]-Cmat[0])) 
+        M = torch.einsum('ik,kj->ij', Ns, M)
+        M = torch.einsum('ik,kj->ij', (Cmat[0]-Cmat[1]), M)      
+      
+        Ch = Cmat[0]*W[0] + Cmat[1]*W[1] + M       
+        CHom.append(Ch)
+      CHom = torch.stack(CHom, dim=0)
+      return CHom 
+    else: 
+      V1 = Vf            
+      W0tmp = Para_W[self.pos][0]
+      W1tmp = Para_W[self.pos][1]
+      angle = Para_N[self.pos][0]
+      Ns = self.FillMatrix_Ns_NT(angle)
+      NT = torch.t(Ns)
+      Vm = 1.0 - V1  
+      W = (Vm*W0tmp + V1*W1tmp, Vm*(1.0-W0tmp) + V1*(1.0-W1tmp))
+      W1 = (V1*W1tmp/W[0], V1*(1.0-W1tmp)/W[1])
+      Cmat = [] 
+      
+      for k in range(self.N_mat): 
+        if((not self.void) and self.level==self.Total_level-2):               
+          Cmat.append(self.mat[k](C,W1[k],Para_N))
+        else:
+          Cmat.append(self.mat[k](C,W1[k],Para_N, Para_W))
+        
+      K = Cmat[0]/W[0] + Cmat[1]/W[1]
+      M_KNs = torch.einsum('ik,kj->ij', K, Ns) 
+      M_NKN = torch.einsum('ik,kj->ij', NT, M_KNs) 
+      invM = torch.linalg.inv(M_NKN)
+      M = torch.einsum('ik,kj->ij', invM, NT)  
+      M = torch.einsum('ik,kj->ij', M, (Cmat[1]-Cmat[0])) 
+      M = torch.einsum('ik,kj->ij', Ns, M)
+      M = torch.einsum('ik,kj->ij', (Cmat[0]-Cmat[1]), M)      
+      
+      Ch = Cmat[0]*W[0] + Cmat[1]*W[1] + M 
+      return Ch  
+ 
+    
+def my_loss(output, target):
+    mask = torch.zeros((6,6))
+    mask[0,0] = mask[1,1]= mask[1,0]= mask[0,1]= 1.0
+    mask[3,3] = mask[0,3]= mask[3,0]= mask[1,3]= mask[3,1]= 1.0
+    
+    norm = torch.norm((mask*target),dim=(1, 2))
+    loss = torch.norm((mask*(output - target)),dim=(1, 2))
+    loss = torch.mean(torch.div(loss,norm))
+    return loss 
+    
+
+def getFiles(folder, index):
+  onlyfiles = [f for f in listdir(folder) if isfile(join(folder, f))]
+  allFiles = list()
+  for fname in onlyfiles:
+    if fname[:len(index)]==index:
+      allFiles.append(fname)
+  return allFiles
+  
+def TrainData(fn,N_add=0):  
+  names =  ['F_XX','F_XY','F_XZ','F_YX','F_YY','F_YZ','F_ZX','F_ZY','F_ZZ','P_XX','P_XY','P_XZ','P_YX','P_YY','P_YZ','P_ZX','P_ZY','P_ZZ']
+  dat = pd.read_csv(fn, sep=';')
+  strainPath = []
+  target = []
+  for i in range(len(dat['F_XX'])):
+    F = np.zeros(9)
+    P = np.zeros(9)
+    for j in range(9):
+      F[j] = dat[names[j]][i]
+    strainPath.append(F)  
+    for j in range(9):
+      P[j] = dat[names[j+9]][i]    
+    target.append(P)  
+    
+  if(N_add == 0):  
+    return strainPath, target 
+  else:
+    L_strainPath = []
+    L_target = []    
+    for i in range(1,len(strainPath)):
+      d_strainPath = (strainPath[i] - strainPath[i-1])/(N_add+1)
+      d_target = (target[i] - target[i-1])/(N_add+1)
+      for j in range(N_add+1):
+        L_strainPath.append(strainPath[i-1] + j*d_strainPath)
+        L_target.append(target[i-1] + j*d_target)
+        
+    L_strainPath.append(strainPath[-1])
+    L_target.append(target[-1])    
+    
+    return L_strainPath, L_target      
+    
+    
+       
diff --git a/dG3D/benchmarks/stochDMN/Para_rve_L4 b/dG3D/benchmarks/stochDMN/Para_rve_L4
new file mode 100644
index 0000000000000000000000000000000000000000..72408189adca5c7fa5771098a2b1de2b9700e5a1
Binary files /dev/null and b/dG3D/benchmarks/stochDMN/Para_rve_L4 differ
diff --git a/dG3D/benchmarks/stochDMN/Para_rve_L5 b/dG3D/benchmarks/stochDMN/Para_rve_L5
new file mode 100644
index 0000000000000000000000000000000000000000..bdafb66fcd243aa3e5efdf179b7e413e1db04e09
Binary files /dev/null and b/dG3D/benchmarks/stochDMN/Para_rve_L5 differ
diff --git a/dG3D/benchmarks/stochDMN/Para_rve_L6 b/dG3D/benchmarks/stochDMN/Para_rve_L6
new file mode 100644
index 0000000000000000000000000000000000000000..7c5e88065641b22954c5582fd90c6174a8c28d7b
Binary files /dev/null and b/dG3D/benchmarks/stochDMN/Para_rve_L6 differ
diff --git a/dG3D/benchmarks/stochDMN/ShearTest_rve1.csv b/dG3D/benchmarks/stochDMN/ShearTest_rve1.csv
new file mode 100644
index 0000000000000000000000000000000000000000..cd30ff48ebf758e77c692a4a01a85409e5d1f9ef
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/ShearTest_rve1.csv
@@ -0,0 +1,397 @@
+F_XX;F_XY;F_XZ;F_YX;F_YY;F_YZ;F_ZX;F_ZY;F_ZZ;P_XX;P_XY;P_XZ;P_YX;P_YY;P_YZ;P_ZX;P_ZY;P_ZZ
+0.99999998533221;0.0004999417476865;2.742240544400808e-20;0.0004998978069838;1.000000016880343;1.822804233224186e-21;3.643436642215503e-20;2.778850135063848e-20;0.9999999535608474;-0.0006419606178476;2.26466093564732;1.350322679832366e-16;2.264645383956716;0.0304614295290349;1.634523853785096e-16;1.350188684215523e-16;1.634785356767713e-16;-1.994762504954831e-08
+0.9999999710748044;0.0009998834800147;6.675687307793279e-20;0.0009997955662394;1.000000033946521;-5.537709358653492e-20;3.260279451645048e-20;-1.311576721761059e-20;0.9999999453362204;-0.0073718169866795;4.529307875052865;3.761216549421683e-16;4.529245654572244;0.054848668938661;-1.831129684879294e-16;3.76215581069126e-16;-1.8309613858618651e-16;-9.41975530532392e-09
+0.9999999572274052;0.0014998251970759;1.292789192657032e-19;0.0014996932782473;1.000000051198525;2.8228330264133204e-20;6.653022098896387e-20;1.008407409768014e-19;0.9999999753258078;-0.0201896781248682;6.793949910879585;6.153362378728346e-16;6.793809884057478;0.0731615634367483;6.194922524425486e-16;6.149323947410843e-16;6.192807176097812e-16;-1.0625577354906571e-08
+0.9999999437903734;0.0019997668989939;1.705838452398946e-19;0.0019995909434289;1.000000068636437;6.683324687147001e-20;2.6827811755589482e-20;-1.849314389775456e-20;1.000000043530102;-0.0390956891148611;9.058596163150025;5.097270138406135e-16;9.058347171928984;0.085399934065596;2.319876524243337e-17;5.090142467918508e-16;2.302306124170095e-17;-4.311515379403247e-09
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+0.999999905941139;0.0034995919147224;1.1975830030581091e-19;0.0034992836632071;1.000000122065897;-1.200107849547665e-20;-1.11362009196085e-20;-4.373821024533537e-20;1.000000477433491;-0.1323444153863831;15.85265122080559;-8.924571111117328e-16;15.85188818506495;0.0856657962270391;-5.726114396439267e-16;-8.923854073102099e-16;-5.712812767993619e-16;1.2361696903846179e-12
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diff --git a/dG3D/benchmarks/stochDMN/SimulationDMN.py b/dG3D/benchmarks/stochDMN/SimulationDMN.py
new file mode 100644
index 0000000000000000000000000000000000000000..4da77b970db6e82975faec1b3eab6646246757ed
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/SimulationDMN.py
@@ -0,0 +1,140 @@
+#coding-Utf-8-*-
+import torch,csv
+from gmshpy import *
+from dG3Dpy import*
+import pandas as pd
+import numpy as np
+from NNW_Tool import *
+
+StressState = ['XZ']
+Load = 'Shear'#'Tensile'#'UniStrain'#
+prefix = './'  
+level = 4
+Para = './rve1_Level'+str(level)+'.dat'
+############################################
+lawnum1 = 11 # unique number of law
+lawnum2 = 12 # unique number of law  
+  
+E = 4.668E3  #Hexcel Corporation, HexPly 8552, Epoxy matrix (180C/356F curing matrix), Product Data Sheet (2016).
+nu = 0.39
+  
+K = E/3./(1.-2.*nu)	# Bulk mudulus
+mu =E/2./(1.+nu)	  # Shear mudulus
+rho = 7850e-9 # Bulk mass
+sy0 = 100. #MPa
+h1 = 0.05*E
+h2 = 0.0
+harden1 = LinearExponentialJ2IsotropicHardening(1,  sy0,  h1, h2, 0.0)
+law1   = J2LinearDG3DMaterialLaw(lawnum1,rho,E,nu,harden1)
+law1.setStrainOrder(11)
+#--------------------
+rhoCF = 1750.e-9
+youngCF = 12.99e3    
+youngACF = 231.e3    
+nuCF = 0.46
+nu_minorCF = 0.3*youngCF/youngACF 
+GACF = 11.3e3
+Ax = 0.0     # direction of anisotropy
+Ay = 0.0
+Az = 1.0
+law2 = TransverseIsotropicDG3DMaterialLaw(lawnum2,rhoCF,youngCF,nuCF,youngACF,GACF,nu_minorCF,Ax,Ay,Az)
+  
+lawnum3 = 13
+law3 = StochDMNDG3DMaterialLaw(lawnum3, rho, E, nu, Para, False)
+law3.addLaw(law1)
+law3.addLaw(law2)
+comMat = computeMaterialLaw(law3)
+
+########## Para_DMN ##################
+names =  ['F_XX','F_XY','F_XZ','F_YX','F_YY','F_YZ','F_ZX','F_ZY','F_ZZ','P_XX','P_XY','P_XZ','P_YX','P_YY','P_YZ','P_ZX','P_ZY','P_ZZ']
+
+##############################################################################################################
+def makeTest(NewPara, Stress_State, strainPath, Id): 
+  comMat.reset_Parameter(law3,NewPara)
+  comMat.resetState(law3)
+  time=0.
+  TimeStep = 1.
+  N = int(len(strainPath))
+  ResArray = np.zeros([N,len(names)])  
+  for ite in range(0,N):
+   # print(f'step = {ite}')
+    time = time + TimeStep
+    comMat.setTime(time,TimeStep)
+    comMat.nextStep()
+    # current plane strain
+    FxxCur = strainPath[ite][0]
+    FxyCur = strainPath[ite][1]
+    FxzCur = strainPath[ite][2]
+    FyxCur = strainPath[ite][3]
+    FyyCur = strainPath[ite][4]
+    FyzCur = strainPath[ite][5]
+    FzxCur = strainPath[ite][6]
+    FzyCur = strainPath[ite][7]
+    FzzCur = strainPath[ite][8]
+    
+    # set new value
+    comMat.setDeformationGradient(0,0,FxxCur)
+    comMat.setDeformationGradient(0,1,FxyCur)
+    comMat.setDeformationGradient(0,2,FxzCur)
+    comMat.setDeformationGradient(1,0,FyxCur)
+    comMat.setDeformationGradient(1,1,FyyCur)
+    comMat.setDeformationGradient(1,2,FyzCur)
+    comMat.setDeformationGradient(2,0,FzxCur)
+    comMat.setDeformationGradient(2,1,FzyCur)
+    comMat.setDeformationGradient(2,2,FzzCur)
+    if(Load=='Tensile'):
+      comMat.computeStressState_PlaneStrainUniaxialStress(Stress_State)
+    # compute uniaxial tension in xy plane
+    else:
+      comMat.computeStressState()
+    #-----------------------------    
+    Pstress = vectorDouble()
+    Fstrain = vectorDouble()
+    comMat.getStress(Pstress)
+    comMat.getDeformationGradient(Fstrain)
+    for k in range(9):
+      ResArray[ite][k] = [*Fstrain][k]
+      ResArray[ite][9+k] = [*Pstress][k] 
+    
+  df = pd.DataFrame(ResArray, columns=names)
+  df.to_csv(Id,sep=';', index=False) 
+  return 
+
+
+######################################################################
+if(Load=='Tensile'):
+  strain_file = './TensileTest_rve1.csv'
+elif(Load=='Shear'):
+  strain_file = './ShearTest_rve1.csv'  
+else:  
+  strain_file = './UniAxialStrain_rve1.csv'
+strainPath, target = TrainData(strain_file, 0)  
+
+for r in range(1,2):
+  #f_Para =  './DMNPara/Vf_rve'+str(r)+'_Level'+str(level)+'.dat'
+  #Id = prefix+'Vf_rve'+str(r)+'_Level'+str(level)+'_'+Load+'Res.csv'
+  f_Para =  './rve'+str(r)+'_Level'+str(level)+'.dat'
+  Id = prefix+'rve'+str(r)+'_Level'+str(level)+'_'+Load+'Res.csv'
+  makeTest(f_Para, StressState[0], strainPath, Id) 
+  
+  
+## only used for rve6 with 300 training data
+#f_Para =  './DMNPara/rve6_Level'+str(level)+'_300Data.dat'
+#Id = prefix+'rve6_Level'+str(level)+'_'+Load+'Res300.csv'
+#makeTest(f_Para, StressState[0], strainPath, Id) 
+def checkEqual(ref, cur, tol):
+  if(abs(ref-cur)>abs(tol*ref)):
+    print("Error : reference  current value ",ref," current value ",cur," relative error ", (ref-cur)/ref," tolerance ",tol)
+
+
+fileres = csv.reader(open('rve1_Level4_ShearRes.csv'), delimiter=';')
+res = list(fileres)
+checkEqual(104.42366995900333,float(res[-1][10]),1e-5)
+
+
+
+
+
+
+ 
+
diff --git a/dG3D/benchmarks/stochDMN/TensileTest_rve1.csv b/dG3D/benchmarks/stochDMN/TensileTest_rve1.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6f3944321cd68232d2fc5a293e1df0a7a86da57f
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/TensileTest_rve1.csv
@@ -0,0 +1,101 @@
+F_XX;F_XY;F_XZ;F_YX;F_YY;F_YZ;F_ZX;F_ZY;F_ZZ;P_XX;P_XY;P_XZ;P_YX;P_YY;P_YZ;P_ZX;P_ZY;P_ZZ
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diff --git a/dG3D/benchmarks/stochDMN/UniAxialStrain_rve1.csv b/dG3D/benchmarks/stochDMN/UniAxialStrain_rve1.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f706ad8c72cd02722a22fd3b7df59a59b1318e35
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/UniAxialStrain_rve1.csv
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diff --git a/dG3D/benchmarks/stochDMN/rve1_Level4.dat b/dG3D/benchmarks/stochDMN/rve1_Level4.dat
new file mode 100644
index 0000000000000000000000000000000000000000..8835af37d8ade9b821510ffb8d451c5170b2ebd9
--- /dev/null
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diff --git a/dG3D/benchmarks/stochDMN/rve1_Level5.dat b/dG3D/benchmarks/stochDMN/rve1_Level5.dat
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diff --git a/dG3D/benchmarks/stochDMN/rve1_Level6.dat b/dG3D/benchmarks/stochDMN/rve1_Level6.dat
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diff --git a/dG3D/benchmarks/stochDMN/rve2_Level4.dat b/dG3D/benchmarks/stochDMN/rve2_Level4.dat
new file mode 100644
index 0000000000000000000000000000000000000000..006c3638bd189e164f18a4b990a66387c4e734fc
--- /dev/null
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diff --git a/dG3D/benchmarks/stochDMN/rve2_Level5.dat b/dG3D/benchmarks/stochDMN/rve2_Level5.dat
new file mode 100644
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--- /dev/null
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new file mode 100644
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--- /dev/null
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new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve4_Level4.dat b/dG3D/benchmarks/stochDMN/rve4_Level4.dat
new file mode 100644
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new file mode 100644
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new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve5_Level4.dat b/dG3D/benchmarks/stochDMN/rve5_Level4.dat
new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve5_Level5.dat b/dG3D/benchmarks/stochDMN/rve5_Level5.dat
new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve5_Level6.dat b/dG3D/benchmarks/stochDMN/rve5_Level6.dat
new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve6_Level4.dat b/dG3D/benchmarks/stochDMN/rve6_Level4.dat
new file mode 100644
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diff --git a/dG3D/benchmarks/stochDMN/rve6_Level4_300Data.dat b/dG3D/benchmarks/stochDMN/rve6_Level4_300Data.dat
new file mode 100644
index 0000000000000000000000000000000000000000..67ca6bbca6accdf71aafa3238022097e08e1153c
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new file mode 100644
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+0.026818 0.789151
+0.869752 0.447485
+0.253437 0.655764
+0.322087 0.988446
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+0.330587 0.985318
+0.485777 0.654963
+0.312042 0.157426
+0.741293 0.078820
diff --git a/dG3D/benchmarks/stochDMN/rve6_Level5_300Data.dat b/dG3D/benchmarks/stochDMN/rve6_Level5_300Data.dat
new file mode 100644
index 0000000000000000000000000000000000000000..dc25747fd4fbee318b8d95e006762197af3ba9af
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/rve6_Level5_300Data.dat
@@ -0,0 +1,48 @@
+2 5
+0.582739
+0.495948
+0.656378
+0.397044
+0.676144
+0.664365
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+0.248297 0.740914
+0.435348 0.866714
+0.596598 0.729149
+0.552850 0.964474
+0.766471 0.427147
+0.089217 0.499026
+0.774829 0.428104
+0.133252 0.388669
+0.521498 0.969533
+0.875048 0.017702
+0.288071 0.964268
+0.655139 0.484365
+0.668668 0.071484
+0.668932 0.115170
diff --git a/dG3D/benchmarks/stochDMN/rve6_Level6.dat b/dG3D/benchmarks/stochDMN/rve6_Level6.dat
new file mode 100644
index 0000000000000000000000000000000000000000..a1dd23bfe06bfc59b07fd32b8046e90a3a34ce26
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/rve6_Level6.dat
@@ -0,0 +1,96 @@
+2 6
+0.582739
+0.718357
+0.366299
+0.183857
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diff --git a/dG3D/benchmarks/stochDMN/rve6_Level6_300Data.dat b/dG3D/benchmarks/stochDMN/rve6_Level6_300Data.dat
new file mode 100644
index 0000000000000000000000000000000000000000..fcaca56ea730bd1627d6ecd0849d15548ae9983e
--- /dev/null
+++ b/dG3D/benchmarks/stochDMN/rve6_Level6_300Data.dat
@@ -0,0 +1,96 @@
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diff --git a/dG3D/benchmarks/torchNonLocal/CMakeLists.txt b/dG3D/benchmarks/torchNonLocal/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..0893f97482e93e133dc5d8489a689fe31f84f511
--- /dev/null
+++ b/dG3D/benchmarks/torchNonLocal/CMakeLists.txt
@@ -0,0 +1,12 @@
+# test file
+
+set(PYFILE model.py)
+
+set(FILES2DELETE 
+  disp*.msh
+  stress*.msh
+  model.msh
+  *.csv
+)
+
+add_cm3python_test(${PYFILE} "${FILES2DELETE}")
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_NonDamTang b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_NonDamTang
new file mode 100644
index 0000000000000000000000000000000000000000..ba248bd4a15a0d91b077eb88ae29d797e6f98c2d
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_NonDamTang differ
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_el b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_el
new file mode 100644
index 0000000000000000000000000000000000000000..fa351e61cea1b8c5a988a261c97bf7971bb89cae
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_el differ
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_stresses b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_stresses
new file mode 100644
index 0000000000000000000000000000000000000000..9912ab7c012d06d19d9dc321eed9d3f166f24d5b
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Bounds_GS_stresses differ
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Model.pt b/dG3D/benchmarks/torchNonLocal/Module/Model.pt
new file mode 100644
index 0000000000000000000000000000000000000000..2ea9a4e8f4945950c5d99a196471566cd998f99b
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Model.pt differ
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Model_7230epochs.pt b/dG3D/benchmarks/torchNonLocal/Module/Model_7230epochs.pt
new file mode 100644
index 0000000000000000000000000000000000000000..5c77cc907036d0afea578ead3fb442cc97bdd6e4
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Model_7230epochs.pt differ
diff --git a/dG3D/benchmarks/torchNonLocal/Module/Model_9930epochs.pt b/dG3D/benchmarks/torchNonLocal/Module/Model_9930epochs.pt
new file mode 100644
index 0000000000000000000000000000000000000000..e37f0ae40c25d74b6e436e3a6fba9f617bce0ff8
Binary files /dev/null and b/dG3D/benchmarks/torchNonLocal/Module/Model_9930epochs.pt differ
diff --git a/dG3D/benchmarks/torchNonLocal/figure_dispforce.py b/dG3D/benchmarks/torchNonLocal/figure_dispforce.py
new file mode 100644
index 0000000000000000000000000000000000000000..7b9191744ec5e712675078165e210ee247596b84
--- /dev/null
+++ b/dG3D/benchmarks/torchNonLocal/figure_dispforce.py
@@ -0,0 +1,125 @@
+import matplotlib.pyplot as plt
+import numpy as np
+import pandas as pd
+
+
+
+######################################################################################################
+#to modify
+L=0.023   #sample length in mm (23 micrometers)
+
+#figure parameters
+
+#figure title
+title=""   #put "" if you don t want to choose
+
+#figure name (for when it is saved)
+namefig="forcedisp.pdf"
+
+#axis labels (precise the units)
+xlabel="disp (mm)"
+ylabel="force (N)"
+
+#limit values for the axis
+minxaxis=0                                 #put 1000000 if you don t want to choose
+maxxaxis=0.1*L                                #put -1000000 if you don t want to choose
+minyaxis=1000000                                      #put 1000000 if you don t want to choose
+maxyaxis=-1000000                                     #put -1000000 if you don t want to choose
+
+#sizes
+ftz=14                                           #taille du titre des axes
+gradsize=12                                      #taille de la police des graduations
+###############################################
+
+
+
+
+
+
+
+###############################################
+##############################################
+#figure code
+fig=plt.figure()
+
+
+################################################
+#to modify
+#choose the first couple x-y axis from csv file
+
+
+list_colors=plt.rcParams["axes.prop_cycle"].by_key()["color"]
+
+prefix="/home/cyrielle/Direct_simulation/sample_L23micro_goodBC/"
+csvfile1="NodalDisplacementPhysical3Num55comp0.csv"
+csvfile2="force5comp0.csv"
+df1=pd.read_csv(prefix+csvfile1,sep=";",header=None)
+df2=pd.read_csv(prefix+csvfile2,sep=";",header=None)
+xaxis1=df1[1]
+yaxis1=df2[1]
+#plot the axis
+plt.plot(xaxis1,yaxis1,'.',label="DNS",color=list_colors[1])
+
+prefix="/home/cyrielle/Direct_simulation/FE-RNN_L23micro_goodBC/ldlp3micro_attemptblock/"
+csvfile1="NodalDisplacementPhysical11Num3comp0.csv"
+csvfile2="force5comp0.csv"
+df1=pd.read_csv(prefix+csvfile1,sep=";",header=None)
+df2=pd.read_csv(prefix+csvfile2,sep=";",header=None)
+xaxis1=df1[1]
+yaxis1=df2[1]
+#plot the axis
+plt.plot(xaxis1,yaxis1,'.',label="FE-RNN with blocking beyond 0.09 $l_d=l_p=3 \, \mu m$",color=list_colors[4])
+
+prefix="/home/cyrielle/Direct_simulation/FE-RNN_L23micro_goodBC/ldlp3micro/"
+csvfile1="NodalDisplacementPhysical11Num3comp0.csv"
+csvfile2="force5comp0.csv"
+df1=pd.read_csv(prefix+csvfile1,sep=";",header=None)
+df2=pd.read_csv(prefix+csvfile2,sep=";",header=None)
+xaxis1=df1[1]
+yaxis1=df2[1]
+#plot the axis
+plt.plot(xaxis1,yaxis1,'.',label="FE-RNN $l_d=l_p=3 \, \mu m$",color=list_colors[2])
+
+
+
+
+
+
+#choose the second couple x-y axis from csv files
+#plot the axis
+
+
+#choose the third couple x-y axis from csv files
+#plot the axis
+
+#...
+####################################################
+
+axes=plt.gca()
+#axis limits
+if minyaxis!=1000000 and maxyaxis!=-1000000:
+  axes.set_ylim(minyaxis,maxyaxis)
+if minxaxis!=1000000 and maxxaxis!=-1000000:
+  axes.set_xlim(minxaxis,maxxaxis)
+
+#axis labels  
+plt.xlabel(xlabel, fontsize=ftz)
+plt.ylabel(ylabel,fontsize=ftz)
+
+#graduations sizes
+axes.xaxis.set_tick_params(labelsize=gradsize)
+axes.yaxis.set_tick_params(labelsize=gradsize)
+
+#grid
+axes.xaxis.grid()
+axes.yaxis.grid()
+
+#title
+if title!="":
+  plt.title(title,fontsize=ftz)
+
+plt.legend(fontsize=ftz)   #if you don t want a legend, you can comment this line
+plt.savefig(namefig)
+#plt.show()    #if you don t want to see the figure you can comment this line
+################################################
+#################################################
diff --git a/dG3D/benchmarks/torchNonLocal/model.geo b/dG3D/benchmarks/torchNonLocal/model.geo
new file mode 100755
index 0000000000000000000000000000000000000000..9e3e4b6d92df1eeefcfa34514fea8e687fff7957
--- /dev/null
+++ b/dG3D/benchmarks/torchNonLocal/model.geo
@@ -0,0 +1,83 @@
+mm = 0.001; //1 micrometer
+
+L = 23*mm;
+l = 50*mm;
+l1 = 1.5*mm;
+l2 = 10*mm;
+l3 = 10*mm;
+l4 = 1.5*mm;
+c1 = 5*mm;
+c2 = 5*mm;
+
+lsca = 1.5*mm;
+
+
+p1 = newp; Point(p1) = {0,0,0,lsca};
+p2 = newp; Point(p2) = {L,0,0,lsca};
+p3 = newp; Point(p3) = {L,l,0,lsca};
+p4 = newp; Point(p4) = {0,l,0,lsca};
+p5 = newp; Point(p5) = {l1,0,0,lsca};
+p6 = newp; Point(p6) = {l1+l2,c1,0,lsca};
+p7 = newp; Point(p7) = {l1+l2+l3,0,0,lsca};
+p8 = newp; Point(p8) = {l1+l2+l3,l,0,lsca};
+p9 = newp; Point(p9) = {l1+l2,l-c2,0,lsca};
+p10 = newp; Point(p10) = {l1,l,0,lsca};
+
+
+//+
+Line(1) = {1, 5};
+//+
+Line(2) = {5, 6};
+//+
+Line(3) = {6, 7};
+//+
+Line(4) = {7, 2};
+//+
+Line(5) = {2, 3};
+//+
+Line(6) = {3, 8};
+//+
+Line(7) = {8, 9};
+//+
+Line(8) = {9, 10};
+//+
+Line(9) = {10, 4};
+//+
+Line(10) = {4, 1};
+//+
+Curve Loop(1) = {1,2,3,4,5,6,7,8,9,10};
+//+
+Plane Surface(1) = {1};
+//Transfinite Line {1, 4, 6, 9} = 31 Using Progression 1;
+//Transfinite Line {5, 10} = 31 Using Progression 1;
+//Transfinite Line {2, 3, 7, 8} = 51 Using Progression 1;
+//Transfinite Surface {1};
+// Recombine Surface{1};
+
+//+
+Physical Surface(11) = {1};
+
+//+
+Physical Curve(1) = {1};
+//+
+Physical Curve(2) = {2};
+//+
+Physical Curve(3) = {3};
+//+
+Physical Curve(4) = {4};
+//+
+Physical Curve(5) = {5};
+//+
+Physical Curve(6) = {6};
+//+
+Physical Curve(7) = {7};
+//+
+Physical Curve(8) = {8};
+//+
+Physical Curve(9) = {9};
+//+
+Physical Curve(10) = {10};
+//+
+Physical Point(11) = {3};
+//+
+Physical Point(12) = {2};
diff --git a/dG3D/benchmarks/torchNonLocal/model.msh b/dG3D/benchmarks/torchNonLocal/model.msh
new file mode 100644
index 0000000000000000000000000000000000000000..3659a880c70e98a9017c0a8f4a76bd637a3184cf
--- /dev/null
+++ b/dG3D/benchmarks/torchNonLocal/model.msh
@@ -0,0 +1,3796 @@
+$MeshFormat
+3 0 8
+$EndMeshFormat
+$Entities
+10 10 1 0
+1 0 
+2 1 12 
+3 1 11 
+4 0 
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+6 0 
+7 0 
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diff --git a/dG3D/benchmarks/torchNonLocal/model.py b/dG3D/benchmarks/torchNonLocal/model.py
new file mode 100755
index 0000000000000000000000000000000000000000..eb971ee17e98a52fd617c556ef739317243b9ec6
--- /dev/null
+++ b/dG3D/benchmarks/torchNonLocal/model.py
@@ -0,0 +1,449 @@
+#coding-Utf-8-*-
+from gmshpy import *
+from dG3Dpy import*
+#from dG3DpyDebug import*
+from math import*
+import numpy as np
+import pandas as pd
+import pickle
+import os
+import torch
+#from ToolCsv import *
+
+
+#############################
+#cleaning the folder before running the simulation
+os.system("rm *.csv")  
+os.system("rm disp*.msh")  
+os.system("rm stress*.msh")  
+#os.system("rm *.png")
+#############################
+
+
+
+#############################
+#the sample
+L=0.023  #sample size in mm (23 micrometers)
+macrogeofile="model.geo"     #the sample geometry
+macromeshfile="model.msh"
+#############################
+
+
+
+#############################
+#non local length
+ld = 3e-3    #the non local length in mm
+cLLaw_d=ld*ld #the square of the non local length in mm2
+cld     = IsotropicCLengthLaw(2, cLLaw_d)  
+
+le = 3e-3    #the non local length in mm
+cLLaw_e=le*le #the square of the non local length in mm2
+cle     = IsotropicCLengthLaw(3, cLLaw_e)    
+
+#fct = linearScalarFunction(0,cLLaw,-cLLaw/Dinf)   # f(x)= f0+a*(x-x0) linearScalarFunction(const double x0, const double y0, const double a)
+#cl3     = GeneralVariableIsotropicCLengthLaw(3, fct)
+
+#fct = linearScalarFunction(0,cLLaw,-cLLaw/pmax)   # f(x)= f0+a*(x-x0) linearScalarFunction(const double x0, const double y0, const double a)
+#cl4     = GeneralVariableIsotropicCLengthLaw(4, fct)
+
+#############################
+
+
+
+#############################
+#local material law if we want to use another existing law instead of the RNN
+lawnum = 1 # unique number of law
+rho   = 7850e-9 #in tons per mm3
+young = 28.9e3
+nu    = 0.3
+sy0   = 150
+h     = 73
+hexp  = 60.1e-6
+
+  #lemaitre chaboche
+H = 50.
+Dinf = 1.
+pi = 0.
+alpha = 1.
+damlaw = SimpleSaturateDamageLaw(1, H, Dinf,pi,alpha)
+harden = ExponentialJ2IsotropicHardening(1,sy0, h, hexp)
+lawLocal   = LocalDamageJ2SmallStrainDG3DMaterialLaw(lawnum,rho,young,nu,harden,damlaw)
+#############################
+
+
+
+#############################
+#non local material law
+matnum1 = 2 
+rho = 7850e-9 # Bulk mass  
+#############################     
+
+
+
+#############################
+#model parameters
+model_stress='./Module/Model_9930epochs.pt'  #the file containing the operations and the coefficients of the RNN cell for the stress
+model_elTang='./Module/Model_7230epochs.pt'  #the file containing the operations and the coefficients of the RNN cell for the elastic tangents with damage
+model_NonDamTang='./Module/Model.pt'  #the file containing the operations and the coefficients of the RNN cell for the elastic tangents without damage
+extranorm=True       #because it is the SC-MRU-T cell              
+doubleinput=True     #because it is the SC-MRU-T cell
+RNN = True           #to use the RNN
+kinematicinput=3     #to use the small strain case
+numberOfInput = 3
+numNonlocalVar=9
+numNonlocalVar_D=6
+numNonlocalVar_Eplast=3
+numInternalVars_stress = 200
+numInternalVars_elTang = 125
+numInternalVars_NonDamTang = 125
+initial_h = 0.0
+
+    ###############
+    #we choose the variables that will be non local (True if it is Non local, False if it remains local)
+         #1. for Eplast components
+EplastxxNonLocalVar = True
+EplastxyNonLocalVar = True
+EplastxzNonLocalVar = False
+EplastyyNonLocalVar = True
+EplastyzNonLocalVar = False
+EplastzzNonLocalVar = False
+         #2. for D components
+DxxxxNonLocalVar = True
+DxyxxNonLocalVar = True
+DxzxxNonLocalVar = False
+DyyxxNonLocalVar = True
+DyzxxNonLocalVar = False
+DzzxxNonLocalVar = False
+DxyxyNonLocalVar = True
+DxzxyNonLocalVar = False
+DyyxyNonLocalVar = True
+DyzxyNonLocalVar = False
+DzzxyNonLocalVar = False
+DxzxzNonLocalVar = False
+DyyxzNonLocalVar = False
+DyzxzNonLocalVar = False
+DzzxzNonLocalVar = False
+DyyyyNonLocalVar = True
+DyzyyNonLocalVar = False
+DzzyyNonLocalVar = False
+DyzyzNonLocalVar = False
+DzzyzNonLocalVar = False
+DzzzzNonLocalVar = False
+    ###############
+    
+pert = 1e-4
+#############################
+               
+
+
+#############################
+#for the normalization and the denormalization
+  #minimal and maximal values for each input of the training dataset, for the normalization and the denormalization
+checkpoint_input = torch.load('./Module/Bounds_GS_stresses') 
+[XGmin, XGmax] = checkpoint_input['Input_Bounds']
+
+
+  #we compute the mean and the standard deviation for each input
+EXXmean = (XGmax[0]+XGmin[0])/2.0
+EXXstd = (XGmax[0]-XGmin[0])/2.0
+EXYmean = (XGmax[1]+XGmin[1])/2.0
+EXYstd = (XGmax[1]-XGmin[1])/2.0
+EYYmean = (XGmax[2]+XGmin[2])/2.0
+EYYstd = (XGmax[2]-XGmin[2])/2.0
+EYZmean = 0.0
+EYZstd = 1.0
+EZZmean = 0.0
+EZZstd = 1.0
+EZXmean = 0.0
+EZXstd = 1.  
+  
+
+  #minimal and maximal values for each output of the training dataset, for the normalization and the denormalization 
+checkpoint_output_stress = torch.load('./Module/Bounds_GS_stresses') 
+[YSmin, YSmax] = checkpoint_output_stress['Output_Bounds']
+
+checkpoint_output_elTang = torch.load('./Module/Bounds_GS_el') 
+[YelTangmin, YelTangmax] = checkpoint_output_elTang['Output_Bounds']
+
+checkpoint_output_NonDamTang = torch.load('Module/Bounds_GS_NonDamTang') 
+[YNonDamTangmin, YNonDamTangmax] = checkpoint_output_NonDamTang['Output_Bounds']
+
+  #we compute the mean and the standard deviation for each output 
+SXXmean = (YSmax[0]+YSmin[0])/2.0
+SXXstd = (YSmax[0]-YSmin[0])/2.0
+SXYmean = (YSmax[1]+YSmin[1])/2.0
+SXYstd = (YSmax[1]-YSmin[1])/2.0
+SYYmean = (YSmax[2]+YSmin[2])/2.0
+SYYstd = (YSmax[2]-YSmin[2])/2.0
+SYZmean = 0.0
+SYZstd = 1.0
+SZZmean = (YSmax[3]+YSmin[3])/2.0
+SZZstd = (YSmax[3]-YSmin[3])/2.0
+SZXmean = 0.0
+SZXstd = 1.0
+
+
+elTangCompxxxxmean = (YelTangmax[0]+YelTangmin[0])/2.0
+elTangCompxxxxstd = (YelTangmax[0]-YelTangmin[0])/2.0
+elTangCompyyxxmean = (YelTangmax[1]+YelTangmin[1])/2.0
+elTangCompyyxxstd = (YelTangmax[1]-YelTangmin[1])/2.0
+elTangCompzzxxmean = (YelTangmax[2]+YelTangmin[2])/2.0
+elTangCompzzxxstd = (YelTangmax[2]-YelTangmin[2])/2.0
+elTangCompxyxymean = (YelTangmax[3]+YelTangmin[3])/2.0
+elTangCompxyxystd = (YelTangmax[3]-YelTangmin[3])/2.0
+elTangCompxzxzmean = 0.0
+elTangCompxzxzstd = 1.0
+elTangCompyyyymean = (YelTangmax[4]+YelTangmin[4])/2.0
+elTangCompyyyystd = (YelTangmax[4]-YelTangmin[4])/2.0
+elTangCompzzyymean = (YelTangmax[5]+YelTangmin[5])/2.0
+elTangCompzzyystd = (YelTangmax[5]-YelTangmin[5])/2.0
+elTangCompyzyzmean = 0.0
+elTangCompyzyzstd = 1.0
+elTangCompzzzzmean = 0.0
+elTangCompzzzzstd = 1.0
+
+NonDamTangCompxxxxmean = (YNonDamTangmax[0]+YNonDamTangmin[0])/2.0
+NonDamTangCompxxxxstd = (YNonDamTangmax[0]-YNonDamTangmin[0])/2.0
+NonDamTangCompyyxxmean = (YNonDamTangmax[1]+YNonDamTangmin[1])/2.0
+NonDamTangCompyyxxstd = (YNonDamTangmax[1]-YNonDamTangmin[1])/2.0
+NonDamTangCompzzxxmean = (YNonDamTangmax[2]+YNonDamTangmin[2])/2.0
+NonDamTangCompzzxxstd = (YNonDamTangmax[2]-YNonDamTangmin[2])/2.0
+NonDamTangCompxyxymean = (YNonDamTangmax[3]+YNonDamTangmin[3])/2.0
+NonDamTangCompxyxystd = (YNonDamTangmax[3]-YNonDamTangmin[3])/2.0
+NonDamTangCompxzxzmean = 0.0
+NonDamTangCompxzxzstd = 1.0
+NonDamTangCompyyyymean = (YNonDamTangmax[4]+YNonDamTangmin[4])/2.0
+NonDamTangCompyyyystd = (YNonDamTangmax[4]-YNonDamTangmin[4])/2.0
+NonDamTangCompzzyymean = (YNonDamTangmax[5]+YNonDamTangmin[5])/2.0
+NonDamTangCompzzyystd = (YNonDamTangmax[5]-YNonDamTangmin[5])/2.0
+NonDamTangCompyzyzmean = 0.0
+NonDamTangCompyzyzstd = 1.0
+NonDamTangCompzzzzmean = 0.0
+NonDamTangCompzzzzstd = 1.0
+#############################
+
+
+
+#############################
+#creation of model              
+macromat1=NonlocalDamageTorchANNBasedDG3DMaterialLaw(matnum1, rho, numberOfInput, numNonlocalVar,
+                numInternalVars_stress, numInternalVars_elTang, numInternalVars_NonDamTang,  model_stress, model_elTang, model_NonDamTang,
+                EXXmean, EXXstd, EXYmean, EXYstd, EYYmean, EYYstd, EYZmean, EYZstd, EZZmean, EZZstd, EZXmean, EZXstd, 
+                SXXmean, SXXstd, SXYmean, SXYstd, SYYmean, SYYstd, SYZmean, SYZstd, SZZmean,  SZZstd, SZXmean, SZXstd,  
+                elTangCompxxxxmean, elTangCompxxxxstd, elTangCompyyxxmean, elTangCompyyxxstd, elTangCompzzxxmean, elTangCompzzxxstd, elTangCompxyxymean, elTangCompxyxystd, elTangCompxzxzmean, elTangCompxzxzstd, elTangCompyyyymean, elTangCompyyyystd, elTangCompzzyymean, elTangCompzzyystd, elTangCompyzyzmean, elTangCompyzyzstd, elTangCompzzzzmean, elTangCompzzzzstd,        
+                NonDamTangCompxxxxmean, NonDamTangCompxxxxstd, NonDamTangCompyyxxmean, NonDamTangCompyyxxstd, NonDamTangCompzzxxmean, NonDamTangCompzzxxstd, NonDamTangCompxyxymean, NonDamTangCompxyxystd, NonDamTangCompxzxzmean, NonDamTangCompxzxzstd, NonDamTangCompyyyymean, NonDamTangCompyyyystd, NonDamTangCompzzyymean, NonDamTangCompzzyystd, NonDamTangCompyzyzmean, NonDamTangCompyzyzstd, NonDamTangCompzzzzmean, NonDamTangCompzzzzstd,     
+                 True,pert)  
+
+macromat1.setKinematicInput(kinematicinput)  
+macromat1.setNeedExtraNorm(extranorm)   
+macromat1.setRNN(RNN)   #to choose to use the RNN or not
+for i in range(numNonlocalVar_D):
+  macromat1.setNonLocalLengthScale(i, cld) 
+for i in range(numNonlocalVar_D,numNonlocalVar):
+  macromat1.setNonLocalLengthScale(i, cle)   
+macromat1.setInitialHValue(initial_h)   #h is initialized by default at -1
+macromat1.setDoubleInput(doubleinput) 
+
+    ###############
+    #to choose the variables that will be non local
+macromat1.setNonLocalD0000(DxxxxNonLocalVar)
+macromat1.setNonLocalD0100(DxyxxNonLocalVar)
+macromat1.setNonLocalD0200(DxzxxNonLocalVar)
+macromat1.setNonLocalD1100(DyyxxNonLocalVar)
+macromat1.setNonLocalD1200(DyzxxNonLocalVar)
+macromat1.setNonLocalD2200(DzzxxNonLocalVar)
+macromat1.setNonLocalD0101(DxyxyNonLocalVar)
+macromat1.setNonLocalD0201(DxzxyNonLocalVar)
+macromat1.setNonLocalD1101(DyyxyNonLocalVar)
+macromat1.setNonLocalD1201(DyzxyNonLocalVar)
+macromat1.setNonLocalD2201(DzzxyNonLocalVar)
+macromat1.setNonLocalD0202(DxzxzNonLocalVar)
+macromat1.setNonLocalD1102(DyyxzNonLocalVar)
+macromat1.setNonLocalD1202(DyzxzNonLocalVar)
+macromat1.setNonLocalD2202(DzzxzNonLocalVar)
+macromat1.setNonLocalD1111(DyyyyNonLocalVar)
+macromat1.setNonLocalD1211(DyzyyNonLocalVar)
+macromat1.setNonLocalD2211(DzzyyNonLocalVar)
+macromat1.setNonLocalD1212(DyzyzNonLocalVar)
+macromat1.setNonLocalD2212(DzzyzNonLocalVar)
+macromat1.setNonLocalD2222(DzzzzNonLocalVar)
+macromat1.setNonLocalEplast00(EplastxxNonLocalVar)
+macromat1.setNonLocalEplast01(EplastxyNonLocalVar)
+macromat1.setNonLocalEplast02(EplastxzNonLocalVar)
+macromat1.setNonLocalEplast11(EplastyyNonLocalVar)
+macromat1.setNonLocalEplast12(EplastyzNonLocalVar)
+macromat1.setNonLocalEplast22(EplastzzNonLocalVar)
+    ###############
+    
+macromat1.setMechanicalLocalMaterialLaw(lawLocal)   #if we want to use another existing local law instead of the RNN
+#############################
+
+
+
+#############################
+# solver parameters
+sol = 2  # Gmm=0 (default) Taucs=1 PETsc=2           
+soltype =1 # StaticLinear=0 (default) StaticNonLinear=1 Dynamics 4
+withPF=False #True
+if withPF:
+  nstep = 400   # number of step (used only if soltype=1)         
+  ftime = 400   # Final time (used only if soltype=1)  
+  nstepArch=10 # Number of step between 2 archiving (used only if soltype=1) 
+else:
+  nstep = (int)(600)
+  ftime = 600  
+  nstepArch=20 # Number of step between 2 archiving (used only if soltype=1)          
+tol=1.e-4  # relative tolerance for NR scheme (used only if soltype=1)
+#############################
+
+
+
+#############################
+# creation of  macro part Domain
+dim =2     
+fullDG = False;    
+# non DG domain
+nfield1 = 11     
+macrodomain1 = dG3DDomain(10,nfield1,0,matnum1,fullDG,dim,numNonlocalVar)   
+#############################
+for i in range(numNonlocalVar):
+  macrodomain1.usePrimaryShapeFunction(3+i)
+
+
+
+#############################
+# creation of Solver
+mysolver = nonLinearMechSolver(1000)    
+mysolver.createModel(macrogeofile,macromeshfile,2,2)
+mysolver.addDomain(macrodomain1)
+
+    ###############
+    #we can compute the derivatives in the law or by perturbation (choose one of the two following options)
+      #1. with the derivatives in the law
+mysolver.addMaterialLaw(macromat1)
+      #2. by perturbation
+#pertFactor = 1e-4
+#pertLaw = dG3DMaterialLawWithTangentByPerturbation(macromat1,pertFactor)
+#mysolver.addMaterialLaw(pertLaw)
+    ###############
+    
+mysolver.Scheme(soltype)
+mysolver.Solver(sol)
+mysolver.snlData(nstep,ftime,tol,tol)     
+mysolver.snlManageTimeStep(400,5,2.,10)        
+stiffModif = BFGSStiffnessModificationMonitoring(20,False) #stiffness will be re-computed after 20 iterations in each step, True if a uncoupled stiffness is used, False-otherwise
+mysolver.stiffnessModification(stiffModif)
+
+mysolver.stepBetweenArchiving(nstepArch)
+#############################
+
+
+
+#############################
+#parameters of path following
+method = 1
+mysolver.pathFollowing(withPF,method)
+if method==0:
+  mysolver.setPathFollowingIncrementAdaptation(False,5)
+  mysolver.setPathFollowingControlType(0)
+  mysolver.setPathFollowingArcLengthStep(1e-1)   
+  mysolver.setPathFollowingCorrectionMethod(0)
+if method==1:   #energy-based method
+  mysolver.setPathFollowingIncrementAdaptation(False,5)
+  mysolver.setPathFollowingLocalIncrementType(2);    #0 for DEFO ENERGY, 2 for PLASTIC ENERGY, 3 for DAMAGE
+  mysolver.setPathFollowingLocalSteps(1e-2,1.e-2)    #arc length step
+  mysolver.setPathFollowingSwitchCriterion(0.01)   #try to remove it
+elif method==2:
+  mysolver.setPathFollowingIncrementAdaptation(False,5)
+  mysolver.setPathFollowingControlType(1)
+  mysolver.setPathFollowingArcLengthStep(1e-2)   
+  mysolver.setPathFollowingCorrectionMethod(1)
+#############################
+
+
+
+#############################
+# boundary conditions
+#mysolver.displacementBC("Face",11,1,0.0)    #uy=0 over the whole surface
+mysolver.displacementBC("Face",11,2,0.0)    #uz=0 over the whole surface
+mysolver.displacementBC("Edge",10,0,0.0)     #ux=0 on the left side
+mysolver.displacementBC("Node",1,1,0.0)
+mysolver.displacementBC("Node",2,1,0.0)
+#############################
+
+
+
+#############################
+#loading
+if withPF:
+  num_edge = 5   #the right side
+  num_node = 12   #the node at the bottom right that we pull following x
+  comp = 0       #to have a displacement following x
+  force = 100.   #the force we want to apply
+  mysolver.sameDisplacementBC("Edge",num_edge,num_node,comp)
+  mysolver.forceBC("Node",num_node,comp,force)
+
+
+if not withPF:
+  cyclicFunctionDisp=cycleFunctionTime(0., 0., ftime, 0.1*L);   #we load until 10% of deformation
+  mysolver.displacementBC("Edge",5,0,cyclicFunctionDisp)         #we pull the right side following x
+#############################
+
+
+
+#############################
+# archivage
+  #in gmsh files
+mysolver.internalPointBuildView("Green-Lagrange_xx",IPField.GL_XX, 1, nstepArch);
+mysolver.internalPointBuildView("Green-Lagrange_yy",IPField.GL_YY, 1, nstepArch);
+mysolver.internalPointBuildView("Green-Lagrange_zz",IPField.GL_ZZ, 1, nstepArch);
+mysolver.internalPointBuildView("Green-Lagrange_xy",IPField.GL_XY, 1, nstepArch);
+mysolver.internalPointBuildView("Green-Lagrange_yz",IPField.GL_YZ, 1, nstepArch);
+mysolver.internalPointBuildView("Green-Lagrange_xz",IPField.GL_XZ, 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("Dxxxx local",IPField.LOCAL_0, 1, nstepArch);
+mysolver.internalPointBuildView("Dxyxx local",IPField.LOCAL_1, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyxx local",IPField.LOCAL_2, 1, nstepArch);
+mysolver.internalPointBuildView("Dxyxy local",IPField.LOCAL_3, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyxy local",IPField.LOCAL_4, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyyy local",IPField.LOCAL_5, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastxx local",IPField.LOCAL_6, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastxy local",IPField.LOCAL_7, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastyy local",IPField.LOCAL_8, 1, nstepArch);
+mysolver.internalPointBuildView("Dxxxx non local",IPField.NONLOCAL_0, 1, nstepArch);
+mysolver.internalPointBuildView("Dxyxx non local",IPField.NONLOCAL_1, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyxx non local",IPField.NONLOCAL_2, 1, nstepArch);
+mysolver.internalPointBuildView("Dxyxy non local",IPField.NONLOCAL_3, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyxy non local",IPField.NONLOCAL_4, 1, nstepArch);
+mysolver.internalPointBuildView("Dyyyy non local",IPField.NONLOCAL_5, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastxx non local",IPField.NONLOCAL_6, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastxy non local",IPField.NONLOCAL_7, 1, nstepArch);
+mysolver.internalPointBuildView("Eplastyy non local",IPField.NONLOCAL_8, 1, nstepArch);
+mysolver.internalPointBuildView("delta eps_xx",IPField.DEPSILON_XX, 1, nstepArch);
+mysolver.internalPointBuildView("delta eps_yy",IPField.DEPSILON_YY, 1, nstepArch);
+mysolver.internalPointBuildView("delta eps_xy",IPField.DEPSILON_XY, 1, nstepArch);
+
+  #in csv files
+mysolver.archivingForceOnPhysicalGroup("Edge",5,0)   #we retrieve the force Fx on the right side
+mysolver.archivingNodeDisplacement(11,0)              #we retrieve the displacement following x of the point at the top right of the sample
+mysolver.archivingForceOnPhysicalGroup("Edge",10,0)   #we retrieve the force Fx on the right side
+#############################
+
+
+
+#############################
+# solve
+mysolver.solve()
+#############################
+
+check = TestCheck()
+check.equal(34.22952279032552,mysolver.getArchivedForceOnPhysicalGroup("Edge", 5, 0),1.e-4)
+
+
+
+
diff --git a/dG3D/src/nonLocalDamageDG3DIPVariable.cpp b/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
index 3eb22af8ef32c9a8e4f987fff097120f0ef3eb69..8c20c7db00989d42f1dc2896de627e3d2d19b6c2 100644
--- a/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
+++ b/dG3D/src/nonLocalDamageDG3DIPVariable.cpp
@@ -237,7 +237,7 @@ void nonLocalDamageDG3DIPVariable::restart()
 /* Beginning IPvariable for nonlocalDamageTorchANNDG3DIPVariable*/
 nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable::nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable(const std::vector< CLengthLaw *> cll, const int n_stress, const int n_elTang, const int n_NonDamTang, const double initial_h, const int numNonlocal, const bool createBodyForceHO, const bool oninter):
       dG3DIPVariable(createBodyForceHO, oninter,numNonlocal), _n_stress(n_stress), _n_elTang(n_elTang), _n_NonDamTang(n_NonDamTang), _numNonlocal(numNonlocal), _initial_h(initial_h), _nlD(1,6), _D(1,6), _nlD36comp(6,6), _D36comp(6,6),
-      _kinematicVariables(1,6),   
+      _kinematicVariables(1,6), _dExx(0.), _dEyy(0.), _dExy(0.),  
       _defoEnergy(0.), _plasticEnergy(0.), _damageEnergy(0.), _irreversibleEnergy(0.), _DirrEnergyDF(0.), _DirrEnergyDVar_nl0(0.), _DirrEnergyDVar_nl1(0.)
 
 {
@@ -262,8 +262,8 @@ nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable::nonLocalDamageTorchANNDG3DIP
     _D(source._D), _nlD36comp(source._nlD36comp), 
     _D36comp(source._D36comp), _DTensor43(source._DTensor43), _nlDTensor43(source._nlDTensor43), 
      _internalVars_stress(source._internalVars_stress), _internalVars_elTang(source._internalVars_elTang), _internalVars_NonDamTang(source._internalVars_NonDamTang), 
-    _kinematicVariables(source._kinematicVariables),_irreversibleEnergy(source._irreversibleEnergy), _DirrEnergyDF(source._DirrEnergyDF),_DirrEnergyDVar_nl0(source._DirrEnergyDVar_nl0), _DirrEnergyDVar_nl1(source._DirrEnergyDVar_nl1), _plasticEnergy(source._plasticEnergy), 
-     _defoEnergy(source._defoEnergy), _damageEnergy(source._damageEnergy), _ipMeca(NULL), _DirrEnergyDVar_nl(source._DirrEnergyDVar_nl)
+    _kinematicVariables(source._kinematicVariables),_irreversibleEnergy(source._irreversibleEnergy), _DirrEnergyDF(source._DirrEnergyDF),_DirrEnergyDVar_nl0(source._DirrEnergyDVar_nl0), _DirrEnergyDVar_nl1(source._DirrEnergyDVar_nl1), _plasticEnergy(source._plasticEnergy), _dExx(source._dExx), _dEyy(source._dEyy), _dExy(source._dExy),
+     _defoEnergy(source._defoEnergy), _damageEnergy(source._damageEnergy), _ipMeca(NULL), _DirrEnergyDVar_nl(source._DirrEnergyDVar_nl), _S(source._S), _CelD(source._CelD), _Cel(source._Cel)
 
 {
   for( std::vector< IPCLength * > ::const_iterator it=source.ipvCL.begin(); it!=source.ipvCL.end(); it++)
@@ -330,8 +330,13 @@ nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable& nonLocalDamageTorchANNDG3DIP
     _Eplast = psrc->_Eplast;
     _Eplastrec = psrc->_Eplastrec;  //plastic strain reconstructed
     _Cel = psrc->_Cel;   //elastic stiffness without damage
+    _CelD = psrc->_CelD;   //elastic stiffness with damage
+    _S = psrc->_S;   //elastic stiffness without damage
     _DS_nlDE = psrc->_DS_nlDE; //DStressreconstructedDStrain
     _DEplastDE = psrc->_DEplastDE;   //DEplastDE
+    _dExx = psrc->_dExx;   //strain increment following xx (added on 21/05/25)
+    _dEyy = psrc->_dEyy;   //strain increment following yy (added on 21/05/25)
+    _dExy = psrc->_dExy;   //strain increment following xy (added on 21/05/25)
     _defoEnergy = psrc -> _defoEnergy; //added for energy-based path Following
     _plasticEnergy = psrc -> _plasticEnergy; //added for energy-based path Following
     _damageEnergy = psrc -> _damageEnergy; //added for energy-based path Following    
@@ -425,6 +430,8 @@ void nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable::restart()
   //plastic strain reconstructed
   restartManager::restart(_Eplastrec);
   //elastic stiffness without damage
+  restartManager::restart(_S);
+  restartManager::restart(_CelD);
   restartManager::restart(_Cel);
   restartManager::restart(_DTensor43);
   restartManager::restart(_nlDTensor43);
@@ -730,6 +737,22 @@ double nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable::get(const int comp) c
   {
     return _plasticEnergy;
   }
+  else if (comp == IPField::PLASTIC_ENERGY)
+  {
+    return _plasticEnergy;
+  }
+  else if (comp == IPField::DEPSILON_XX)
+  {
+    return _dExx;
+  }
+  else if (comp == IPField::DEPSILON_YY)
+  {
+    return _dEyy;
+  }
+  else if (comp == IPField::DEPSILON_XY)
+  {
+    return _dExy;
+  }
   else
   {
     return dG3DIPVariable::get(comp);
diff --git a/dG3D/src/nonLocalDamageDG3DIPVariable.h b/dG3D/src/nonLocalDamageDG3DIPVariable.h
index 967b5e4cf003fe35ce05a92ce5aba8a9cf10ab55..48f43cd554fac7f6fa1d908e896917599e273d2a 100644
--- a/dG3D/src/nonLocalDamageDG3DIPVariable.h
+++ b/dG3D/src/nonLocalDamageDG3DIPVariable.h
@@ -1582,6 +1582,12 @@ class nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable : public dG3DIPVariable
     
     //plastic strain reconstructed
     STensor3 _Eplastrec;
+
+    //local stress (added on 26/05/25)
+    STensor3 _S;
+
+    //elastic stiffness with damage (added on 26/05/25)
+    STensor43 _CelD;
     
     //elastic stiffness without damage
     STensor43 _Cel;
@@ -1592,6 +1598,10 @@ class nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable : public dG3DIPVariable
     //DStressreconstructedDStrain (maybe this variable can be removed because defined elsewhere)
     STensor43 _DS_nlDE;
     
+    double _dExx; //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    double _dEyy; //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    double _dExy; //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    
     double _defoEnergy;
     double _plasticEnergy;        //added for energy-based path Following
     double _damageEnergy;
@@ -1690,6 +1700,14 @@ class nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable : public dG3DIPVariable
     //plastic strain reconstructed
     virtual const STensor3 &getConstRefToEplastrec() const {return _Eplastrec;};
     virtual STensor3 &getRefToEplastrec() {return _Eplastrec;}; 
+
+    //local stress (added on 26/05/25)
+    virtual const STensor3 &getConstRefToLocalStress() const {return _S;};
+    virtual STensor3 &getRefToLocalStress() {return _S;}; 
+
+    //elastic stiffness with damage  (added on 26/05/25)
+    virtual const STensor43 &getConstRefToCelD() const {return _CelD;};
+    virtual STensor43 &getRefToCelD() {return _CelD;}; 
     
     //elastic stiffness without damage  
     virtual const STensor43 &getConstRefToCel() const {return _Cel;};
@@ -1738,6 +1756,13 @@ class nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable : public dG3DIPVariable
     virtual double & getRefToDamageEnergy() {return _damageEnergy;};   //added for energy-based path Following
     virtual const double & getConstRefToDamageEnergy() const {return _damageEnergy;};   //added for energy-based path Following
  //////////////////////////////////////////////////////////////////////////////////
+ 
+    virtual const double & getConstRefTodExx() const {return _dExx;};   //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    virtual double & getRefTodExx() {return _dExx;};   
+    virtual const double & getConstRefTodEyy() const {return _dEyy;};   //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    virtual double & getRefTodEyy() {return _dEyy;}; 
+    virtual const double & getConstRefTodExy() const {return _dExy;};   //added on 21/05/25 to check if the strain increment is not too big for the RNN
+    virtual double & getRefTodExy() {return _dExy;}; 
    
     virtual const std::vector<IPCLength*> &getConstRefToIPCLength() const
     {
diff --git a/dG3D/src/nonLocalDamageDG3DMaterialLaw.cpp b/dG3D/src/nonLocalDamageDG3DMaterialLaw.cpp
index 04add7ee1bdb85f3071fb283da30c3e85485a47c..c48e3a74825ee46fc170c0b623f2d7f680bc9cfe 100644
--- a/dG3D/src/nonLocalDamageDG3DMaterialLaw.cpp
+++ b/dG3D/src/nonLocalDamageDG3DMaterialLaw.cpp
@@ -2560,7 +2560,7 @@ NonlocalDamageTorchANNBasedDG3DMaterialLaw::NonlocalDamageTorchANNBasedDG3DMater
                 _SZXmean(SZXmean), _SZXstd(SZXstd), 
                 _elTangCompxxxxmean(elTangCompxxxxmean), _elTangCompxxxxstd(elTangCompxxxxstd), _elTangCompyyxxmean(elTangCompyyxxmean), _elTangCompyyxxstd(elTangCompyyxxstd), _elTangCompzzxxmean(elTangCompzzxxmean), _elTangCompzzxxstd(elTangCompzzxxstd), _elTangCompxyxymean(elTangCompxyxymean), _elTangCompxyxystd(elTangCompxyxystd), _elTangCompxzxzmean(elTangCompxzxzmean), _elTangCompxzxzstd(elTangCompxzxzstd), _elTangCompyyyymean(elTangCompyyyymean), _elTangCompyyyystd(elTangCompyyyystd), _elTangCompzzyymean(elTangCompzzyymean), _elTangCompzzyystd(elTangCompzzyystd), _elTangCompyzyzmean(elTangCompyzyzmean), _elTangCompyzyzstd(elTangCompyzyzstd), _elTangCompzzzzmean(elTangCompzzzzmean), _elTangCompzzzzstd(elTangCompzzzzstd),   
                 _NonDamTangCompxxxxmean(NonDamTangCompxxxxmean), _NonDamTangCompxxxxstd(NonDamTangCompxxxxstd), _NonDamTangCompyyxxmean(NonDamTangCompyyxxmean), _NonDamTangCompyyxxstd(NonDamTangCompyyxxstd), _NonDamTangCompzzxxmean(NonDamTangCompzzxxmean), _NonDamTangCompzzxxstd(NonDamTangCompzzxxstd), _NonDamTangCompxyxymean(NonDamTangCompxyxymean), _NonDamTangCompxyxystd(NonDamTangCompxyxystd), _NonDamTangCompxzxzmean(NonDamTangCompxzxzmean), _NonDamTangCompxzxzstd(NonDamTangCompxzxzstd), _NonDamTangCompyyyymean(NonDamTangCompyyyymean), _NonDamTangCompyyyystd(NonDamTangCompyyyystd), _NonDamTangCompzzyymean(NonDamTangCompzzyymean), _NonDamTangCompzzyystd(NonDamTangCompzzyystd), _NonDamTangCompyzyzmean(NonDamTangCompyzyzmean), _NonDamTangCompyzyzstd(NonDamTangCompyzyzstd), _NonDamTangCompzzzzmean(NonDamTangCompzzzzmean), _NonDamTangCompzzzzstd(NonDamTangCompzzzzstd),       
-                _tangentByPerturbation(pert), _pertTol(tol), _kinematicInput(EGL),_NeedExtraNorm(false),_DoubleInput(false),_RNN(true),_Ie00(1), _Ie01(1), _Ie02(1), _Ie11(1), _Ie12(1), _Ie22(1), _Id0000(1), _Id0100(1), _Id0200(1), _Id1100(1), _Id1200(1), _Id2200(1), _Id0101(1), _Id0201(1), _Id1101(1), _Id1201(1), _Id2201(1), _Id0202(1), _Id1102(1), _Id1202(1), _Id2202(1), _Id1111(1), _Id1211(1), _Id2211(1), _Id1212(1), _Id2212(1), _Id2222(1)
+                _tangentByPerturbation(pert), _pertTol(tol), _kinematicInput(EGL),_NeedExtraNorm(false),_DoubleInput(false),_RNN(true),_Ie00(1), _Ie01(1), _Ie02(1), _Ie11(1), _Ie12(1), _Ie22(1), _Id0000(1), _Id0100(1), _Id0200(1), _Id1100(1), _Id1200(1), _Id2200(1), _Id0101(1), _Id0201(1), _Id1101(1), _Id1201(1), _Id2201(1), _Id0202(1), _Id1102(1), _Id1202(1), _Id2202(1), _Id1111(1), _Id1211(1), _Id2211(1), _Id1212(1), _Id2212(1), _Id2222(1), _incrlimit(0.0004)
 {
    _mecalocalLaw = NULL;
    cLLaw.resize(_numNonlocalVar);
@@ -2653,7 +2653,7 @@ NonlocalDamageTorchANNBasedDG3DMaterialLaw::NonlocalDamageTorchANNBasedDG3DMater
                 _SYZmean(src._SYZmean), _SYZstd(src._SYZstd), _SZZmean(src._SZZmean), _SZZstd(src._SZZstd), _SZXmean(src._SZXmean), _SZXstd(src._SZXstd), 
                 _elTangCompxxxxmean(src._elTangCompxxxxmean), _elTangCompxxxxstd(src._elTangCompxxxxstd), _elTangCompyyxxmean(src._elTangCompyyxxmean), _elTangCompyyxxstd(src._elTangCompyyxxstd),    _elTangCompzzxxmean(src._elTangCompzzxxmean), _elTangCompzzxxstd(src._elTangCompzzxxstd), _elTangCompxyxymean(src._elTangCompxyxymean), _elTangCompxyxystd(src._elTangCompxyxystd), _elTangCompxzxzmean(src._elTangCompxzxzmean), _elTangCompxzxzstd(src._elTangCompxzxzstd), _elTangCompyyyymean(src._elTangCompyyyymean), _elTangCompyyyystd(src._elTangCompyyyystd), _elTangCompzzyymean(src._elTangCompzzyymean), _elTangCompzzyystd(src._elTangCompzzyystd), _elTangCompyzyzmean(src._elTangCompyzyzmean), _elTangCompyzyzstd(src._elTangCompyzyzstd), _elTangCompzzzzmean(src._elTangCompzzzzmean), _elTangCompzzzzstd(src._elTangCompzzzzstd),       
                 _NonDamTangCompxxxxmean(src._NonDamTangCompxxxxmean), _NonDamTangCompxxxxstd(src._NonDamTangCompxxxxstd), _NonDamTangCompyyxxmean(src._NonDamTangCompyyxxmean), _NonDamTangCompyyxxstd(src._NonDamTangCompyyxxstd),    _NonDamTangCompzzxxmean(src._NonDamTangCompzzxxmean), _NonDamTangCompzzxxstd(src._NonDamTangCompzzxxstd), _NonDamTangCompxyxymean(src._NonDamTangCompxyxymean), _NonDamTangCompxyxystd(src._NonDamTangCompxyxystd), _NonDamTangCompxzxzmean(src._NonDamTangCompxzxzmean), _NonDamTangCompxzxzstd(src._NonDamTangCompxzxzstd), _NonDamTangCompyyyymean(src._NonDamTangCompyyyymean), _NonDamTangCompyyyystd(src._NonDamTangCompyyyystd), _NonDamTangCompzzyymean(src._NonDamTangCompzzyymean), _NonDamTangCompzzyystd(src._NonDamTangCompzzyystd), _NonDamTangCompyzyzmean(src._NonDamTangCompyzyzmean), _NonDamTangCompyzyzstd(src._NonDamTangCompyzyzstd), _NonDamTangCompzzzzmean(src._NonDamTangCompzzzzmean), _NonDamTangCompzzzzstd(src._NonDamTangCompzzzzstd),                                   
-                _tangentByPerturbation(src._tangentByPerturbation),_pertTol(src._pertTol), _kinematicInput(src._kinematicInput),_NeedExtraNorm(src._NeedExtraNorm),_DoubleInput(src._DoubleInput), _mecalocalLaw(NULL), _RNN(src._RNN),_Ie00(src._Ie00), _Ie01(src._Ie01), _Ie02(src._Ie02), _Ie11(src._Ie11), _Ie12(src._Ie12), _Ie22(src._Ie22), _Id0000(src._Id0000), _Id0100(src._Id0100), _Id0200(src._Id0200), _Id1100(src._Id1100), _Id1200(src._Id1200), _Id2200(src._Id2200), _Id0101(src._Id0101), _Id0201(src._Id0201), _Id1101(src._Id1101), _Id1201(src._Id1201), _Id2201(src._Id2201), _Id0202(src._Id0202), _Id1102(src._Id1102), _Id1202(src._Id1202), _Id2202(src._Id2202), _Id1111(src._Id1111), _Id1211(src._Id1211), _Id2211(src._Id2211), _Id1212(src._Id1212), _Id2212(src._Id2212), _Id2222(src._Id2222)
+                _tangentByPerturbation(src._tangentByPerturbation),_pertTol(src._pertTol), _kinematicInput(src._kinematicInput),_NeedExtraNorm(src._NeedExtraNorm),_DoubleInput(src._DoubleInput), _mecalocalLaw(NULL), _RNN(src._RNN),_Ie00(src._Ie00), _Ie01(src._Ie01), _Ie02(src._Ie02), _Ie11(src._Ie11), _Ie12(src._Ie12), _Ie22(src._Ie22), _Id0000(src._Id0000), _Id0100(src._Id0100), _Id0200(src._Id0200), _Id1100(src._Id1100), _Id1200(src._Id1200), _Id2200(src._Id2200), _Id0101(src._Id0101), _Id0201(src._Id0201), _Id1101(src._Id1101), _Id1201(src._Id1201), _Id2201(src._Id2201), _Id0202(src._Id0202), _Id1102(src._Id1102), _Id1202(src._Id1202), _Id2202(src._Id2202), _Id1111(src._Id1111), _Id1211(src._Id1211), _Id2211(src._Id2211), _Id1212(src._Id1212), _Id2212(src._Id2212), _Id2222(src._Id2222), _incrlimit(src._incrlimit)
 {
 #if defined(HAVE_TORCH)
        module_stress = src.module_stress;
@@ -2823,12 +2823,12 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::initLaws(const std::map<int,mat
                E1Vector_plus_pert1(s) = E1_plus(0,s);
              }
              STensorOperation::fromFullVectorToSTensor3(E1Vector_plus_pert1, E1Tensor_plus_pert1);
-             RNNstress_stiff(E1Tensor, E1Tensor_plus_pert1,h_stress_init, h_stress_tmp, h_elTang_init, h_elTang_tmp, h_NonDamTang_init, h_NonDamTang_tmp, S_plus, NonDamTangPred_plus,elTangPred_plus, D_plus, Eplast_plus,false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
+             //compute_local_values(E1Tensor, E1Tensor_plus_pert1,h_stress_init, h_stress_tmp, h_elTang_init, h_elTang_tmp, h_NonDamTang_init, h_NonDamTang_tmp, S_plus, NonDamTangPred_plus,elTangPred_plus, D_plus, Eplast_plus,false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l); (commented on 26/05/25 because wanted to add the ipvp)
           }
       }
       else
       {
-          RNNstress_stiff(E1Tensor, E1Tensor, h_stress_init, h_stress_tmp, h_elTang_init, h_elTang_tmp, h_NonDamTang_init, h_NonDamTang_tmp, S,NonDamTangPred,elTangPred,D, Eplast, true, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
+          //compute_local_values(E1Tensor, E1Tensor, h_stress_init, h_stress_tmp, h_elTang_init, h_elTang_tmp, h_NonDamTang_init, h_NonDamTang_tmp, S,NonDamTangPred,elTangPred,D, Eplast, true, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);  (commented on 26/05/25 because wanted to add the ipvp)
       }
       _initialized = true;
     };
@@ -3016,6 +3016,15 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   STensor3 E1Tensor;
   STensorOperation::fromFullVectorToSTensor3(E1Vector, E1Tensor);
   
+  //beginning step -1: we retrieve the strain increments to visualize them in the msh files and to check if they are not too big for what the RNN can handle, for the moment it is done for a 2D RNN with only epsilon_XX, epsilon_YY and epsilon_XY as inputs (added on 21/05/25)
+  double& dExx=ipvcur->getRefTodExx();
+  double& dEyy=ipvcur->getRefTodEyy();
+  double& dExy=ipvcur->getRefTodExy();
+  dExx=E1Tensor(0,0)-E0Tensor(0,0); 
+  dEyy=E1Tensor(1,1)-E0Tensor(1,1);
+  dExy=E1Tensor(0,1)-E0Tensor(0,1); 
+  //end step -1
+  
   /*if (E1Tensor(0,0)>=0.04){
     std::cout << "Exx = " << E1Tensor(0,0) << "\n";   //we check if Exx becomes out of the RNN training range
   }*/
@@ -3024,36 +3033,39 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   //beginning step 0: creation of the basis for Eplast and D
     //beginning step 0.1: declaration of the Tensors of the basis
       //beginning step 0.1.1: for the basis for D
-  STensor43 A0;
-  STensor43 A1;
-  STensor43 A2;
-  STensor43 A3;
-  STensor43 A4;
-  STensor43 A5;
-  STensor43 A6;
-  STensor43 A7;
-  STensor43 A8;
-  STensor43 A9;
-  STensor43 A10;
-  STensor43 A11;
-  STensor43 A12;
-  STensor43 A13;
-  STensor43 A14;
-  STensor43 A15;
-  STensor43 A16;
-  STensor43 A17;
-  STensor43 A18;
-  STensor43 A19;
-  STensor43 A20;
+  static STensor43 A0; STensorOperation::zero(A0);
+  static STensor43 A1; STensorOperation::zero(A1);
+  static STensor43 A2; STensorOperation::zero(A2);
+  static STensor43 A3; STensorOperation::zero(A3);
+  static STensor43 A4; STensorOperation::zero(A4);
+  static STensor43 A5; STensorOperation::zero(A5);
+  static STensor43 A6; STensorOperation::zero(A6);
+  static STensor43 A7; STensorOperation::zero(A7);
+  static STensor43 A8; STensorOperation::zero(A8);
+  static STensor43 A9; STensorOperation::zero(A9);
+  static STensor43 A10; STensorOperation::zero(A10);
+
+  static STensor43 A11; STensorOperation::zero(A11);
+  static STensor43 A12; STensorOperation::zero(A12);
+  static STensor43 A13; STensorOperation::zero(A13);
+  static STensor43 A14; STensorOperation::zero(A14);
+  static STensor43 A15; STensorOperation::zero(A15);
+  static STensor43 A16; STensorOperation::zero(A16);
+  static STensor43 A17; STensorOperation::zero(A17);
+  static STensor43 A18; STensorOperation::zero(A18);
+  static STensor43 A19; STensorOperation::zero(A19);
+
+  static STensor43 A20; STensorOperation::zero(A20);
+
       //end step 0.2
       
       //beginning step 0.1.2: for the basis for Eplast
-  STensor3 B0;
-  STensor3 B1;
-  STensor3 B2;
-  STensor3 B3;
-  STensor3 B4;
-  STensor3 B5;
+  static STensor3 B0; STensorOperation::zero(B0);
+  static STensor3 B1; STensorOperation::zero(B1);
+  static STensor3 B2; STensorOperation::zero(B2);
+  static STensor3 B3; STensorOperation::zero(B3);
+  static STensor3 B4; STensorOperation::zero(B4);
+  static STensor3 B5; STensorOperation::zero(B5);
     //end step 0.1
     
     //beginning step 0.2: computation of the two basis
@@ -3069,14 +3081,15 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   
   //beginning step 1: declaration of current variables
   STensor3 S;
-  STensor43& NonDamTangPred = ipvcur->getRefToCel();
-  STensor43 elTangPred;
   STensor3 Eplast; 
   STensor3 Eplast_l;
-  STensor43 D_l;
-  STensor43 Tangent;
-  STensor63 dCalgdE;
-  
+  STensor43& NonDamTangPred = ipvcur->getRefToCel();
+  static STensor43 elTangPred; STensorOperation::zero(elTangPred);
+  static STensor43 D_l; STensorOperation::zero(D_l);
+  static STensor43 Tangent; STensorOperation::zero(Tangent);
+  static STensor63 dCalgdE; STensorOperation::zero(dCalgdE);
+
+
   const STensor43& D0 = ipvprev->getConstRefToLocalDamageTensor43();
   STensor43& D = ipvcur->getRefToLocalDamageTensor43();
   
@@ -3091,11 +3104,14 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   
   //beginning step 2: declaration of derivatives computed by perturbation or automatic differentiation
   STensor43& DEplastDE = ipvcur -> getRefToDEplastDE();                 //we can only compute it by perturbation because Eplast is not a value predicted by the RNN
-  STensor63 DNonDamTangPredDE;         //only computed by perturbation for now
-  STensor63 DDDE;                      //we can only compute it by perturbation because D is not a value predicted by the RNN 
-  STensor43 DSDETensor43;              //only computed by perturbation for now    
-  STensor63 DD_lDE;
-  STensor43 DEplast_lDE;               
+
+  static STensor63 DNonDamTangPredDE; STensorOperation::zero(DNonDamTangPredDE);
+  static STensor63 DDDE; STensorOperation::zero(DDDE);
+  static STensor63 DD_lDE; STensorOperation::zero(DD_lDE);
+
+  static STensor43 DSDETensor43; STensorOperation::zero(DSDETensor43);
+  static STensor43 DEplast_lDE; STensorOperation::zero(DEplast_lDE);
+
   static fullMatrix<double> DSDE(6,6); //only computed by automatic differentiation for now (but the automatic differentiation does not work yet)
   //end step 2 
   
@@ -3105,7 +3121,11 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
     if(_tangentByPerturbation){
   
       //beginning step 3.1: we compute the RNN predictions at this time step and the values deduced by the RNN predictions (local damage D and plastic strain Eplast)
-      RNNstress_stiff(E0Tensor, E1Tensor, h_stress_0, h_stress_1, h_elTang_0, h_elTang_1, h_NonDamTang_0, h_NonDamTang_1, S,NonDamTangPred,elTangPred, D, Eplast, false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
+      compute_local_values(ipvprev,E0Tensor, E1Tensor, h_stress_0, h_stress_1, h_elTang_0, h_elTang_1, h_NonDamTang_0, h_NonDamTang_1, S,NonDamTangPred,elTangPred, D, Eplast, false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
+            
+      ipvcur->getRefToLocalStress()=S;  //we retrieve the values predicted by RNN (added on 26/05/25)
+      ipvcur->getRefToCelD()=elTangPred;  //we retrieve the values predicted by RNN (added on 26/05/25)
+      ipvcur->getRefToCel()=NonDamTangPred;  //we retrieve the values predicted by RNN (added on 26/05/25)
    
         //to have D always increasing
       for (int i=0;i<3;i++){
@@ -3125,23 +3145,25 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
     
       if(stiff){
         //beginning step 3.2: declaration of the variables useful for the perturbation
-        STensor3 F_plus;
-        STensor3 Ft_plus;   //will be F_plus transposed
-        STensor3 E1Tensor_plus;
-        STensor3 I;
+        static STensor3 I;
         STensorOperation::unity(I);  //unity tensor
         
-        STensor3 S_plus;
-        STensor43 NonDamTangPred_plus;
-        STensor43 elTangPred_plus;
-        STensor43 D_plus; 
-        STensor43 D_l_plus;
-        STensor3 Eplast_plus;
-        STensor3 Eplast_l_plus;
+        static STensor3 F_plus; STensorOperation::zero(F_plus);
+        static STensor3 Ft_plus; STensorOperation::zero(Ft_plus);
+        static STensor3 E1Tensor_plus; STensorOperation::zero(E1Tensor_plus);
+        static STensor3 S_plus; STensorOperation::zero(S_plus);
+        static STensor3 Eplast_plus; STensorOperation::zero(Eplast_plus);
+        static STensor3 Eplast_l_plus; STensorOperation::zero(Eplast_l_plus);
+
+        static STensor43 NonDamTangPred_plus; STensorOperation::zero(NonDamTangPred_plus);
+        static STensor43 elTangPred_plus; STensorOperation::zero(elTangPred_plus);
+        static STensor43 D_plus; STensorOperation::zero(D_plus);
+        static STensor43 D_l_plus; STensorOperation::zero(D_l_plus);
+
     
-        torch::Tensor h_stress_tmp = torch::zeros({1, 1, _numberOfInternalVariables_stress});
-        torch::Tensor h_elTang_tmp = torch::zeros({1, 1, _numberOfInternalVariables_elTang});
-        torch::Tensor h_NonDamTang_tmp = torch::zeros({1, 1, _numberOfInternalVariables_NonDamTang});
+        static torch::Tensor h_stress_tmp = torch::zeros({1, 1, _numberOfInternalVariables_stress});
+        static torch::Tensor h_elTang_tmp = torch::zeros({1, 1, _numberOfInternalVariables_elTang});
+        static torch::Tensor h_NonDamTang_tmp = torch::zeros({1, 1, _numberOfInternalVariables_NonDamTang});
         //end step 3.2
     
     
@@ -3167,7 +3189,7 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
                 E1Tensor_plus(i,j)=0.5*(F_plus(i,j)+Ft_plus(i,j))-I(i,j);
               }
             }
-            RNNstress_stiff(E0Tensor, E1Tensor_plus, h_stress_0, h_stress_tmp, h_elTang_0, h_elTang_tmp, h_NonDamTang_0, h_NonDamTang_tmp, S_plus,NonDamTangPred_plus,elTangPred_plus, D_plus, Eplast_plus, false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l_plus);
+            compute_local_values(ipvprev,E0Tensor, E1Tensor_plus, h_stress_0, h_stress_tmp, h_elTang_0, h_elTang_tmp, h_NonDamTang_0, h_NonDamTang_tmp, S_plus,NonDamTangPred_plus,elTangPred_plus, D_plus, Eplast_plus, false, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l_plus);
           
          
             //beginning step 3.3.1: computation of DEplastDE and DEplast_lDE
@@ -3260,7 +3282,7 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
         //end step 3.3
       }
     }else{   //be careful: it is the differentiation automatic case that does not work for now
-      RNNstress_stiff(E0Tensor, E1Tensor, h_stress_0, h_stress_1, h_elTang_0, h_elTang_1, h_NonDamTang_0, h_NonDamTang_1, S,NonDamTangPred,elTangPred, D, Eplast, true, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
+      compute_local_values(ipvprev,E0Tensor, E1Tensor, h_stress_0, h_stress_1, h_elTang_0, h_elTang_1, h_NonDamTang_0, h_NonDamTang_1, S,NonDamTangPred,elTangPred, D, Eplast, true, DSDE, B0, B1, B2, B3, B4, B5, Eplast_l);
     }
   }
   //end step 3
@@ -3297,21 +3319,24 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
     
     if (stiff){
       //beginning step 3.2 bis: declaration of the variables useful for the perturbation
-      STensor3 F_plus;
-      STensor3 Ft_plus;   //will be F_plus transposed
-      STensor3 E1Tensor_plus;
-      STensor3 I;
+      static STensor3 I;
       STensorOperation::unity(I);  //unity tensor
       
-      STensor3 S_plus;
+      
+      static STensor3 F_plus; STensorOperation::zero(F_plus);
+      static STensor3 Ft_plus; STensorOperation::zero(Ft_plus);
+      static STensor3 E1Tensor_plus; STensorOperation::zero(E1Tensor_plus);
+      static STensor3 S_plus; STensorOperation::zero(S_plus);
+      static STensor3 Eplast_plus; STensorOperation::zero(Eplast_plus);
+      static STensor3 Eplast_l_plus; STensorOperation::zero(Eplast_l_plus);
+
+      static STensor43 Tangent_plus; STensorOperation::zero(Tangent_plus);
+      static STensor43 elTang_plus; STensorOperation::zero(elTang_plus);
+      static STensor43 D_plus; STensorOperation::zero(D_plus);
+      static STensor43 D_l_plus; STensorOperation::zero(D_l_plus);
+      
       IPVariable* qMeca_plus= qMecan->clone();
-      STensor43 Tangent_plus;
-      STensor43 elTang_plus;
       STensor43* elasticTangent_plus=&elTang_plus;
-      STensor43 D_plus; 
-      STensor43 D_l_plus;
-      STensor3 Eplast_plus;
-      STensor3 Eplast_l_plus;
       //end step 3.2 bis
     
       //beginning step 3.3 bis: perturbation
@@ -3441,11 +3466,14 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   } 
   
   //beginning step 4: computation of the reconstructed stress   
-  STensor3 S_rec;   //the reconstructed stress
-  STensor43 D_nl;
-  STensor43 D_rec;
-  STensor3 Eplast_nl;
-  STensor3 Eplast_rec;
+  static STensor3 S_rec; STensorOperation::zero(S_rec);
+  static STensor3 Eplast_nl; STensorOperation::zero(Eplast_nl);
+  static STensor3 Eplast_rec; STensorOperation::zero(Eplast_rec);
+
+  static STensor43 D_nl; STensorOperation::zero(D_nl);
+  static STensor43 D_rec; STensorOperation::zero(D_rec);
+
+
   computation_D_nl__Eplast_nl(A0, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, B0, B1, B2, B3, B4, B5, D, Eplast, Eplast_nl, D_nl, ipvcur);
   D_rec = D_nl+D_l;
   Eplast_rec = Eplast_nl+Eplast_l;
@@ -3464,12 +3492,14 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
   
   
   //beginning step 5: declaration of the derivatives
-  STensor43 DEDE;
+  static STensor43 DEDE;
   STensorOperation::unity(DEDE);  //I4 (with 0.5)
-  STensor43 DS_nlDE;
-  STensor43 DS_nlDE1;
-  STensor43 DS_nlDE2;
-  STensor43 DS_nlDE3;
+ 
+  static STensor43 DS_nlDE; STensorOperation::zero(DS_nlDE);
+  static STensor43 DS_nlDE1; STensorOperation::zero(DS_nlDE1);
+  static STensor43 DS_nlDE2; STensorOperation::zero(DS_nlDE2);
+  static STensor43 DS_nlDE3; STensorOperation::zero(DS_nlDE3);
+
   //end step 5
   
   
@@ -4194,6 +4224,10 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
         plasticEnergy+=S_rec(i,j)*(Eplast_rec(i,j)-Eplast_rec0(i,j));
       }
     }
+    if (plasticEnergy<ipvprev->getConstRefToPlasticEnergy()){
+      //std::cout << "warning: the plastic energy decreases" << "\n";
+      //plasticEnergy=ipvprev->getConstRefToPlasticEnergy();
+    }
     
     
     //beginning step 9.2: computation of the damage energy
@@ -5407,9 +5441,131 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::stress(IPVariable* ipv, const I
 #if defined(HAVE_TORCH)
 
 
-void NonlocalDamageTorchANNBasedDG3DMaterialLaw::RNNstress_stiff(const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S,
+void NonlocalDamageTorchANNBasedDG3DMaterialLaw::compute_local_values(const nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable* ipvprev,const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S,
          STensor43& NonDamTangPred,STensor43& elTangPred, STensor43& D, STensor3& Eplast, const bool stiff, fullMatrix<double>& DSDE, const STensor3& B0, const STensor3& B1, const STensor3& B2, const STensor3& B3, const STensor3& B4, const STensor3& B5, STensor3& Eplast_l)
+{
+
+    auto Vars_h_stress_0 = h_stress_0.accessor<float,3>();
+    auto Vars_h_elTang_0 = h_elTang_0.accessor<float,3>();
+    auto Vars_h_NonDamTang_0 =  h_NonDamTang_0.accessor<float,3>();
+
+    static torch::Tensor h_stress_tmp_0 = torch::zeros({1, 1, _numberOfInternalVariables_stress});
+    static torch::Tensor h_elTang_tmp_0 = torch::zeros({1, 1, _numberOfInternalVariables_elTang});
+    static torch::Tensor h_NonDamTang_tmp_0 = torch::zeros({1, 1, _numberOfInternalVariables_NonDamTang});
+
+    auto Vars_h_stress_tmp_0 = h_stress_tmp_0.accessor<float,3>();
+    auto Vars_h_elTang_tmp_0 = h_elTang_tmp_0.accessor<float,3>();
+    auto Vars_h_NonDamTang_tmp_0 =  h_NonDamTang_tmp_0.accessor<float,3>();
+
+
+    for(int i=0;i<_numberOfInternalVariables_stress;i++) Vars_h_stress_tmp_0[0][0][i] = Vars_h_stress_0[0][0][i];
+    for(int i=0;i<_numberOfInternalVariables_elTang;i++) Vars_h_elTang_tmp_0[0][0][i] = Vars_h_elTang_0[0][0][i];
+    for(int i=0;i<_numberOfInternalVariables_NonDamTang;i++) Vars_h_NonDamTang_tmp_0[0][0][i] = Vars_h_NonDamTang_0[0][0][i];
+
+    
+    static torch::Tensor h_stress_tmp_1 = torch::zeros({1, 1, _numberOfInternalVariables_stress});
+    static torch::Tensor h_elTang_tmp_1 = torch::zeros({1, 1, _numberOfInternalVariables_elTang});
+    static torch::Tensor h_NonDamTang_tmp_1 = torch::zeros({1, 1, _numberOfInternalVariables_NonDamTang});
+    
+    STensor3 E_tmp_0 = E0Tensor;
+    STensor3 E_tmp_1 = E1Tensor;
+    
+    STensor3 dE;
+    for (int i=0;i<3;i++){
+      for (int j=0;j<3;j++){
+        dE(i,j)=E1Tensor(i,j)-E0Tensor(i,j);
+      }
+    }
+
+    //beginning of finding the maximal strain increment
+    double max_incr=0.;
+    for (int i=0;i<3;i++){
+      for (int j=0;j<3;j++){
+        if (abs(dE(i,j))>max_incr){
+          max_incr=abs(dE(i,j));
+        }
+      }
+    }
+    //end of finding the maximal strain increment
+    
+    int nb_substep=ceil(max_incr/_incrlimit);  //the number of substeps 
+    
+    STensor3 dEsubstep;
+    for (int i=0;i<3;i++){
+      for (int j=0;j<3;j++){
+        dEsubstep(i,j)=dE(i,j)/nb_substep;
+      }
+    }
+    
+    for (int s=1;s<nb_substep;s++){
+      E_tmp_1 = E_tmp_0+dEsubstep;
+      RNNstress_stiff(E_tmp_0, E_tmp_1, h_stress_tmp_0, h_stress_tmp_1, h_elTang_tmp_0, h_elTang_tmp_1, h_NonDamTang_tmp_0, h_NonDamTang_tmp_1, S,NonDamTangPred,elTangPred, false, DSDE);
+      E_tmp_0 = E_tmp_1;
+      
+      
+      auto Vars_h_stress_tmp_1 = h_stress_tmp_1.accessor<float,3>();
+      auto Vars_h_elTang_tmp_1 = h_elTang_tmp_1.accessor<float,3>();
+      auto Vars_h_NonDamTang_tmp_1 =  h_NonDamTang_tmp_1.accessor<float,3>();
+
+
+      for(int i=0;i<_numberOfInternalVariables_stress;i++) Vars_h_stress_tmp_0[0][0][i] = Vars_h_stress_tmp_1[0][0][i];
+      for(int i=0;i<_numberOfInternalVariables_elTang;i++) Vars_h_elTang_tmp_0[0][0][i] = Vars_h_elTang_tmp_1[0][0][i];
+      for(int i=0;i<_numberOfInternalVariables_NonDamTang;i++) Vars_h_NonDamTang_tmp_0[0][0][i] = Vars_h_NonDamTang_tmp_1[0][0][i];
+    }
+    
+    E_tmp_1 = E1Tensor;
+    RNNstress_stiff(E_tmp_0, E_tmp_1, h_stress_tmp_0, h_stress_tmp_1, h_elTang_tmp_0, h_elTang_tmp_1, h_NonDamTang_tmp_0, h_NonDamTang_tmp_1, S,NonDamTangPred,elTangPred, false, DSDE);
+
+    auto Vars_h_stress_tmp_1 = h_stress_tmp_1.accessor<float,3>();
+    auto Vars_h_elTang_tmp_1 = h_elTang_tmp_1.accessor<float,3>();
+    auto Vars_h_NonDamTang_tmp_1 =  h_NonDamTang_tmp_1.accessor<float,3>();
+
+    auto Vars_h_stress_1 = h_stress_1.accessor<float,3>();
+    auto Vars_h_elTang_1 = h_elTang_1.accessor<float,3>();
+    auto Vars_h_NonDamTang_1 =  h_NonDamTang_1.accessor<float,3>();
+
+
+    for(int i=0;i<_numberOfInternalVariables_stress;i++) Vars_h_stress_1[0][0][i] = Vars_h_stress_tmp_1[0][0][i];
+    for(int i=0;i<_numberOfInternalVariables_elTang;i++) Vars_h_elTang_1[0][0][i] = Vars_h_elTang_tmp_1[0][0][i];
+    for(int i=0;i<_numberOfInternalVariables_NonDamTang;i++) Vars_h_NonDamTang_1[0][0][i] = Vars_h_NonDamTang_tmp_1[0][0][i];
+    
+    //try to handle the case in which we are out of good RNN predictions, but it is not well defined, and maybe the code can be simplified (added on 26/05/25)
+    if (E1Tensor(0,0)>0.09){
+      S=ipvprev->getConstRefToLocalStress();
+      elTangPred=ipvprev->getConstRefToCelD();
+      NonDamTangPred=ipvprev->getConstRefToCel();
+    }
+    
+    computation_D(NonDamTangPred, elTangPred, D);         //computation of D 
+    computation_Eplast(E1Tensor, S, elTangPred, Eplast);  //computation of Eplast
+    computation_Eplast_l(B0, B1, B2, B3, B4, B5, Eplast, Eplast_l); //computation of Eplast_l
+}
+
+
+
+void NonlocalDamageTorchANNBasedDG3DMaterialLaw::RNNstress_stiff(const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S,
+         STensor43& NonDamTangPred,STensor43& elTangPred, const bool stiff, fullMatrix<double>& DSDE)
 {  
+
+    //beginning check strain increments: we check if the strain increments are below the limit increment that the RNN can handle, for the moment it is done for a 2D RNN with only epsilon_XX, epsilon_YY and epsilon_XY as inputs (added on 25/05/25)
+    //normally with the subStepping, it shouldn't happen
+    double dExx;
+    double dEyy;
+    double dExy;
+    dExx=E1Tensor(0,0)-E0Tensor(0,0); 
+    dEyy=E1Tensor(1,1)-E0Tensor(1,1);
+    dExy=E1Tensor(0,1)-E0Tensor(0,1); 
+    if (abs(dExx)>_incrlimit){
+      std::cout << "Warning: beyond the limit increment for epsilon_XX: " << dExx << "\n";
+    }
+    if (abs(dEyy)>_incrlimit){
+      std::cout << "Warning: beyond the limit increment for epsilon_YY: " << dEyy << "\n";
+    }
+    if (abs(dExy)>_incrlimit){
+      std::cout << "Warning: beyond the limit increment for epsilon_XY: " << dExy << "\n";
+    }
+    //end check for strain increments
+    
     vector<float> E_vec(_numberOfInput),E0_vec(_numberOfInput);  //the current and the previous vectors
     torch::Tensor E_norm, E0_norm,dE_norm;  //the normalized values of E, E0 et de dG (dE_norm)
     if(!stiff){torch::NoGradGuard no_grad;}
@@ -5546,11 +5702,7 @@ void NonlocalDamageTorchANNBasedDG3DMaterialLaw::RNNstress_stiff(const STensor3&
     h_NonDamTang_1 = outputs_NonDamTang->elements()[1].toTensor();
 
     InverseNormalize_NonDamTang(NonDamTang_norm, NonDamTangPred); 
-
-
-    computation_D(NonDamTangPred, elTangPred, D);         //computation of D 
-    computation_Eplast(E1Tensor, S, elTangPred, Eplast);  //computation of Eplast
-    computation_Eplast_l(B0, B1, B2, B3, B4, B5, Eplast, Eplast_l); //computation of Eplast_l
+    
    
    
    /*if (_RNN)
diff --git a/dG3D/src/nonLocalDamageDG3DMaterialLaw.h b/dG3D/src/nonLocalDamageDG3DMaterialLaw.h
index 4450c2cab2efa406d1d5f860e24f2bff68641429..89b80597507a5dd77a4bd7ab338b246ed4e5167f 100644
--- a/dG3D/src/nonLocalDamageDG3DMaterialLaw.h
+++ b/dG3D/src/nonLocalDamageDG3DMaterialLaw.h
@@ -912,6 +912,7 @@ class NonlocalDamageTorchANNBasedDG3DMaterialLaw : public dG3DMaterialLaw{
     bool _NeedExtraNorm;
     bool _DoubleInput;
     int _numNonlocalVar;
+    double _incrlimit; //the maximal strain increment with which your RNN trained can predict
     std::vector< CLengthLaw * > cLLaw;
     materialLaw *_mecalocalLaw;
     bool _RNN;
@@ -1182,8 +1183,9 @@ class NonlocalDamageTorchANNBasedDG3DMaterialLaw : public dG3DMaterialLaw{
     void computation_Eplast_l(const STensor3& B0, const STensor3& B1, const STensor3& B2, const STensor3& B3, const STensor3& B4, const STensor3& B5, const STensor3& Eplast, STensor3& Eplast_l);
     void computation_D_l(const STensor43& A0, const STensor43& A1, const STensor43& A2, const STensor43& A3, const STensor43& A4, const STensor43& A5, const STensor43& A6, const STensor43& A7, const STensor43& A8, const STensor43& A9, const STensor43& A10, const STensor43& A11, const STensor43& A12, const STensor43& A13, const STensor43& A14, const STensor43& A15, const STensor43& A16, const STensor43& A17, const STensor43& A18, const STensor43& A19, const STensor43& A20, const STensor43& D, STensor43& D_l);
     void computation_D_nl__Eplast_nl(const STensor43& A0, const STensor43& A1, const STensor43& A2, const STensor43& A3, const STensor43& A4, const STensor43& A5, const STensor43& A6, const STensor43& A7, const STensor43& A8, const STensor43& A9, const STensor43& A10, const STensor43& A11, const STensor43& A12, const STensor43& A13, const STensor43& A14, const STensor43& A15, const STensor43& A16, const STensor43& A17, const STensor43& A18, const STensor43& A19, const STensor43& A20, const STensor3& B0, const STensor3& B1, const STensor3& B2, const STensor3& B3, const STensor3& B4, const STensor3& B5, const STensor43& D, const STensor3& Eplast, STensor3& Eplast_nl, STensor43& D_nl, nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable* ipvcur);
-    void RNNstress_stiff(const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S, 
+    void compute_local_values(const nonLocalDamageTorchANNDG3DIPVariableDG3DIPVariable* ipvprev,const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S, 
                         STensor43& NonDamTangPred,STensor43& elTangPred, STensor43& D, STensor3& Eplast, const bool stiff, fullMatrix<double>& DSDE, const STensor3& B0, const STensor3& B1, const STensor3& B2, const STensor3& B3, const STensor3& B4, const STensor3& B5, STensor3& Eplast_l);
+    void RNNstress_stiff(const STensor3& E0Tensor, const STensor3& E1Tensor, const torch::Tensor& h_stress_0, torch::Tensor& h_stress_1, const torch::Tensor& h_elTang_0, torch::Tensor& h_elTang_1, const torch::Tensor& h_NonDamTang_0, torch::Tensor& h_NonDamTang_1, STensor3& S, STensor43& NonDamTangPred,STensor43& elTangPred, const bool stiff, fullMatrix<double>& DSDE);  //the function in whichn we compute the values predicted by RNN
             
 #endif
     #endif //SWIG