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

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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https://hal-upec-upem.archives-ouvertes.fr/hal-03321743
Contributor : Christian Soize Connect in order to contact the contributor
Submitted on : Wednesday, August 18, 2021 - 9:42:49 AM
Last modification on : Tuesday, September 28, 2021 - 8:24:58 AM

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Christian Soize. Computational stochastic homogenization of heterogeneous media from an elasticity random field having an uncertain spectral measure. Computational Mechanics, Springer Verlag, 2021, 68, pp.1003-1021. ⟨10.1007/s00466-021-02056-8⟩. ⟨hal-03321743⟩

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