Abstract

A micromechanical model that is based on the homogenization technique for periodic composites is developed for the prediction of the response of multiphase materials undergoing large deformations. Every one of the constituents is supposed to be either a rate-independent thermoelastoplastic material or a thermoelastic one, both of which are formulated in the framework of finite strains. Hyperelastic constituents are obtained as a special case. The resulting macroscopic (global) constitutive equations of the composite involve the instantaneous mechanical and thermal tangent tensors. The reliability of the prediction is examined by comparisons with the composite cylinder assemblage model, which is formulated for a finite strain rate-independent thermoplasticity and is valid under axisymmetric loading. Applications are given for a system of a rubber-like matrix reinforced by metallic fibers. In addition, the behavior of rate-independent elastoplastic laminated materials undergoing large deformations and subjected to in-plane loading is investigated. Finally, the response of an elastoplastic auxetic metallic material, which is capable of generating a negative Poisson’s ratio at any stage of a finite strain loading is examined by employing the proposed micromechanical model.

Keywords

periodic unidirectional composites, finite Plasticity, large deformations, composite materials, high-fidelity generalized method of cells

Authors