A Crystallographic Homogenization Elastic/Crystal Viscoplastic Finite Element Analysis of Pure Iron Polycrystal Material by Employing the Kinematic Hardening Rule

Abstract

In this study, multi scale analyses, by using the crystallographic homogenization based semi-implicit finite element code, have been carried out to indicate a plastic strain induced texture evolution and macro-continuum yield loci evolution. This crystallographic homogenization finite element code has employed the double scale hierarchical structure, which consists of a polycrystal microstructure and a macro-continuum. We focus to discuss “How to define a proper microstructure for the double scale finite element analysis, by employing the real polycrystal aggregation, which has been measured by SEM-EBSD apparatus”. For scaling up from the polycrystal microstructure to the macro-continuum, we looked at the periodicity of crystal orientation distribution, which is one of morphological factors to feature the polycrystal structure itself, which is named as “texture”. Through a statistical stydy of these measured polycrystal morphologies, finally we obtaine a realistic polycrystal unit cell of the microstructure, which can be adopted for multi scale finite element analyses. The availability of this code to predict the plastic deformation induced anisotropy and kinematical hardening is confirmed.