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International Journal for Multiscale Computational Engineering
インパクトファクター: 1.016 5年インパクトファクター: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v6.i5.30
pages 411-434

Finite Strain Micromechanical Modeling of Multiphase Composites

Jacob Aboudi
Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel

要約

This paper reviews a series of articles in which finite strain micromechanical analyses were developed for the prediction of the macroscopic (global) behavior of multiphase composites undergoing large deformations. The finite strain constituents in these composites can be modeled as hyperelastic, thermoelastic (based on entropic elasticity), viscoelastic (including quasilin-ear viscoelasticity, which is suitable for the modeling of biological tissues), thermoviscoelastic, rate-dependent thermoinelastic (viscoplastic), and rate-independent thermoinelastic (elastoplastic). In all cases, the micromechanical analyses are based on the homogenization technique for periodic composites. These analyses provide the instantaneous mechanical, thermal, and inelastic concentration tensors that relate the local induced strain in the phase to the current externally applied strains and temperature. In addition, these micromechanical analyses yield the macroscopic constitutive equations of the multiphase composite in terms of its instantaneous stiffness and thermal stress tensors. In any one of these micromechanical analyses, the local field distribution among the various constituents of the composite can be also determined at any instant of loading. The finite strain micromechanically established macroscopic constitutive equations can be employed in a structural analysis to determine the behavior of composite structures and biological tissues underging large deformations, thus forming a micro macrostructural multiscale analysis.