Prediction of Plastic Anisotropy in Aluminium Sheet Using Finite-Element Polycrystal Model : Finite-Element Polycrystal Model

Abstract

A finite-element polycrystal model is proposed to predict plastic behaviors of polycrystal metals. Each element in FEM is assumed to be a crystal of cubic shape having its proper orientation, and microscopic plastic strains are assumed to be uniform within each crystal. For the determination of rate-independent slips, a new numerical scheme, the "Successive Accumulation Method", is proposed on the basis of Schmid's law. The numerical code of the present model is quite simple and can be applied to arbitrary loading paths. A stress-strain curve under simple tension is calculated for a non-work-hardening FCC metal and compared with those of other theories.