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
