NONUNIFORM TRANSFORMATION FIELD ANALYSIS APPLIED TO DISCRETE ELASTOPLASTIC MICROSTRUCTURE

Abstract

: In this contribution, we focus on numerical simulation of discrete elastoplastic microstructures with periodic boundary conditions. The idea of nonuniform transformation field analysis, originally proposed by Michel and Suquet, is used for simplification of the given problem by reducing the number of internal variables represented by plastic strains. For that purpose, the plastic strains are approximated by linear combinations of selected plastic modes. Two approaches to the selection of plastic modes are proposed and compared using a simple two-dimensional example. Their accuracy is evaluated by comparing the results with the exact solution.