Evaluation of Induced Anisotropy in Polycrystalline Metals Based on Homogenization Method

Abstract

Macro-scale anisotropic mechanical behavior of polycrystalline meals is characterized by incorporating the micro-scale constitutive model of single crystal plasticity into the two-scale modeling based on the mathematical homogenization theory. The two-scale simulations are conducted to characterize the macro-scale anisotropy induced by micro-scale plastic deformation of the polycrystalline aggreagate. In the simulations, the micro-scale representative volume element of a polycrystalline aggregate is uniformly loaded in one direction, unloaded to macroscopially zero stress in a certain stage of deformation and then re-loaded in the different directions. Then the effect of the intergranular and intragranular behaviors are examined by several ways of illustrations of plastic deformation process. In particular, we are concerned with the concentrations of accumulated plastic strain and effective stress in the neighborhood of grain boundaries. In addition, the principal slip directions in each loading state are shown to examine the effect of self and latent hardenig on the deformation-induced anisotropy.