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An approach to micro-macro modeling of heterogeneous materials. (English) Zbl 1005.74018
From the summary: We present a micro-macro strategy suitable for modeling the mechanical response of heterogeneous materials under large deformations, assuming nonlinear history-dependent material behaviour. When using this micro-macro approach within the context of finite element implementation, there is no need to specify the homogenized constitutive behaviour at the macroscopic integration points. Instead, this behaviour is determined through a detailed modeling of microstructure. The performance of the method is illustrated by simulation of pure bending of porous aluminum.

MSC:
74E05 Inhomogeneity in solid mechanics
74E35 Random structure in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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