每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
Finite Strain Micromechanical Modeling of Multiphase Composites
摘要
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.
-
Temizer İ., Wriggers P., Homogenization in finite thermoelasticity, Journal of the Mechanics and Physics of Solids, 59, 2, 2011. Crossref
-
Aboudi J., Micromechanical modeling of viscoelastic behavior of polymer matrix composites undergoing large deformations, in Creep and Fatigue in Polymer Matrix Composites, 2011. Crossref
-
Haj-Ali Rami, Aboudi Jacob, Formulation of the high-fidelity generalized method of cells with arbitrary cell geometry for refined micromechanics and damage in composites, International Journal of Solids and Structures, 47, 25-26, 2010. Crossref
-
Aboudi Jacob, Finite strain micromechanical modeling of thermoviscoelastic matrix composites, Journal of Mechanics of Materials and Structures, 6, 1-4, 2011. Crossref
-
Clément A., Soize C., Yvonnet J., Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials, Computer Methods in Applied Mechanics and Engineering, 254, 2013. Crossref
-
Haj-Ali Rami, Aboudi Jacob, Discussion paper: Has renaming the high fidelity generalized method of cells been justified?, International Journal of Solids and Structures, 49, 15-16, 2012. Crossref
-
Yvonnet Julien, He Qi-Chang, Monteiro Eric, Tran Anh, Toulemonde Charles, Sanahuja Julien, Clement Alexandre, Soize Christian, Non-Concurrent Computational Homogenization of Nonlinear, Stochastic and Viscoelastic Materials, in Handbook of Micromechanics and Nanomechanics, 2013. Crossref
-
Aboudi Jacob, The Effect of Evolving Damage on the Finite Strain Response of Inelastic and Viscoelastic Composites, Materials, 2, 4, 2009. Crossref
-
Dimitrienko Yu. I., Universal models for effective constitutive relations of laminated composites with finite strains, Journal of Physics: Conference Series, 1141, 2018. Crossref
-
Rusu O, Rusu I, An analysis on some mechanical properties of AlMg10-SiCp ultralight metal composites, IOP Conference Series: Materials Science and Engineering, 591, 1, 2019. Crossref
-
Dimitrienko Yu I, Gubareva E A, Karimov S B, Yu Kolzhanova D, Cylindrical bending of transversely isotropic composite panels with finite strains, Journal of Physics: Conference Series, 1990, 1, 2021. Crossref
-
Cardiff P., Demirdžić I., Thirty Years of the Finite Volume Method for Solid Mechanics, Archives of Computational Methods in Engineering, 28, 5, 2021. Crossref