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On the sensitivity of homogenized material responses at infinitesimal and finite strains. (English) Zbl 1012.74058

From the summary: We study the magnitude of deviations between computed homogenized linearly elastic responses among equal finite-sized samples possessing random microstructure. Afterwards, the sensitivity of finite deformation response functions to such deviations is addressed. The primary result is that deviations of responses in the infinitesimal range bound from above the resulting perturbed response in the finite deformation range.

MSC:

74Q20 Bounds on effective properties in solid mechanics
74B20 Nonlinear elasticity
74E35 Random structure in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
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