Finite strain micromechanical analysis for thermoelastoplastic multiphase materials

Jacob Aboudi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)809-829
Number of pages21
JournalJournal of Mechanics of Materials and Structures
Volume3
Issue number5
DOIs
StatePublished - May 2008

Keywords

  • Composite materials
  • Finite plasticity
  • High-fidelity generalized method of cells
  • Large deformations
  • Periodic unidirectional composites

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