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Multiscale stochastic modeling of random anisotropic elastic media with a complex microstructure

Christian Soize 1, *
* Corresponding author
Abstract : Ageneric microscale stochastic model is presented for a large class of randomanisotropic elastic microstructures allowing a parametric analysis of the RepresentativeVolume Element (RVE) size to be performed. This new approach can be useful for a direct experimental identification of random anisotropic elastic microstructures when the standard method cannot easily be applied. Such a RVE is used to construct the macroscopic properties in the context of stochastic homogenization . The probability analysis is not performed as usual for a given particular random microstructure defined in terms of its constituents, but is performed for a large class of random anisotropic elastic microstructures. For this class, the probability distribution of the random effective stiffness tensor is explicitly constructed and allows a full probability analysis of the RVE size to be carried out with respect to the spatial correlation length of the random microstructure.
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Christian Soize. Multiscale stochastic modeling of random anisotropic elastic media with a complex microstructure. 2nd LNCC Meeting on Computational Modelling, Aug 2006, Petropolis, RJ, Brazil. pp.1-14. ⟨hal-00689704⟩

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