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Homogenization of elastic-viscoplastic heterogeneous materials: Self-consistent and Mori-Tanaka schemes. (English) Zbl 1162.74037
Summary: This paper deals with the prediction of macroscopic behavior of a multiphase elastic-viscoplastic material. The proposed homogenization schemes are based on an interaction law postulated by A. Molinari et al. [Mech. Mater. 26, 43–62 (1997)]. Self-consistent schemes are developed to describe the behavior of disordered aggregates. The Mori-Tanaka approach is used to capture the behavior of composite materials, where one phase can be clearly identified as the matrix. The proposed schemes are developed within a general framework where compressible elasticity and anisotropy of the materials are taken into account. Inclusions can have various shapes and orientations. Illustrations of the homogenization procedure are given for a two-phase composite materials. Comparisons between results in the literature and predictions based on the interaction law are performed and have demonstrated the efficiency of the proposed homogenization schemes.

MSC:
74Q15 Effective constitutive equations in solid mechanics
74Q05 Homogenization in equilibrium problems of solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74E30 Composite and mixture properties
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