Abstract
A method to a priori estimate the equivalent material behavior of the elastic-plastic heterogeneous bodies is developed within the frame work of the multi-scale modeling based on the mathematical homogenization theory. To estimate the macroscopic elastic-plastic properties, such as the macroscopic yield surface, we carry out a series of numerical experiments for the periodic microstructures called unit cells. Through its quantitative evaluation, the macroscopic initial yield surface is approximated by a quadratic function in the macroscopic stress space, and the evolution of the yield surface with anisotropic hardening is numerically investigated.
