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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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Submitted on : Thursday, April 19, 2012 - 9:19:04 PM
Last modification on : Saturday, January 15, 2022 - 4:17:11 AM
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  • HAL Id : hal-00689704, version 1



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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