Computational-Micromechanics.md

@@ -27,18 +27,19 @@ In general, the strain averaging theorem and the Hill-Mandel condition are sasti
 Geometry and mesh are prepared using Gmsh. Note that the solver identifies the group of elements through *Physical* groups.
 
 # Python code structure
-## include python library after compiling the code
+## Include python library after compiling the code
 The PYTHONPATH to the compiled directory must be specified in .bashrc for both gmsh and the solve, then the following line must be added in the beginning of the python file:
 ```python
 from gmshpy import *
 from dG3Dpy import*
 ```
-## define Material law and Domain
+## Define Material law and Domain
 The basic principle of the FE implementation is to divide the whole domain of interest by domains. Each domain possesses its own constitutive behavior govering by a material law. Mechanical, thermal, or multi-physical coupled domain-material law can be used.
 ### *Material law*
 ```python
 law = MaterialLawName(matNum, Arguments)
 ```
+where the number *matNum* must be a unique integer to identify the law, *MaterialLawName* and its arguments *Arguments* can be found in the source of the code. For example, a *J2* plastic model can be defined as follows:
 ```python
 lawnum1 = 11 # unique number of law
 E = 210E3