A Local Theory of Elastoplastic Deformation of Two-Phase Metal Matrix Random Structure Composites

Abstract

A two-phase material is considered, which consists of a homogeneous elastoplastic matrix containing a homogeneous statistically uniform random set of ellipsoidal inclusions with the same form, orientation, and mechanical properties. The multiparticle effective field method (used in this paper) in the original form assumes constant plastic strains in the matrix. This assumption is replaced by the following micromechanical model: Each inclusion consists of an elastic core and a thin coating. The mechanical properties of both the matrix and the coating are the same but with different plastic strains. Homogeneous plastic strains are assumed inside the matrix and in each of separate subdomains of the coating. A general theory of plasticity is developed for arbitrary loading based on incremental elastoplastic analysis. The consideration of inhomogeneity of plastic strains in the coating enables to obtain some principally new effects of elastoplastic deformation.