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Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure

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Abstract

This paper presents the computational stochastic homogenization of a heterogeneous 3D-linear anisotropic elastic microstructure that cannot be described in terms of constituents at microscale, as live tissues. The random apparent elasticity field at mesoscale is then modeled in a class of non-Gaussian positive-definite tensor-valued homogeneous random fields. We present an extension of previous works consisting of a novel probabilistic model to take into account uncertainties in the spectral measure of the random apparent elasticity field. A probabilistic analysis of the random effective elasticity tensor at macroscale is performed as a function of the level of spectrum uncertainties, which allows for studying the scale separation and the representative volume element size in a robust probabilistic framework.

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  1. Univ Gustave Eiffel, MSME UMR 8208, 5 Bd Descartes, 77454, Marne-La-Vallée Cedex 02, France

    Christian Soize

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Soize, C. Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure. Comput Mech 68, 1003–1021 (2021). https://doi.org/10.1007/s00466-021-02056-8

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