An examination of the Lin model for polycrystal plasticity by means of two-dimensional finite element analysis (Q1093404)

A two-dimensional inhomogeneous problem is calculated by the finite element method, where a nonhardening infinite medium containing inclusions is subjected to a simple tension. The results of plastic strains are substituted into the Lin and KBW models to get the stress fields, which are compared with the results of FEM. The Lin model agrees well with the FEM, but the KBW model does not. Even though the variation of plastic strain exceeds the order of elastic strain, the stresses still remain within the same order as the yielding stress. This fact may suggest that the coefficient matrix relating to the variation of plastic strain to that of stress in the Lin model is near-singular.