Anisotropic and Dissipative Finite Elasto-plastic Composite

Here we propose a macroscopic model for elasto-plastic composite, characterized by an initial anisotropy, that can evolve during the large plastic deformation. Application to transversely isotropic and orthotropic composites will be also developed. The paper deals with anisotropic finite elasto-plastic 6-models, which accounts for the dissipative nature of the plastic flow, within the constructive framework of materials with relaxed configurations in internal variables. Here 6 stands for Mandel’s non-symmetric stress tensor,or the quasi-static Eshelby stresstensor. The appropriate variational inequalities are derived, related rate quasi-static boundary value problem, in our approach to composite materials.