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A class of tensor-valued random fields for random anisotropic elastic microstructure modeling and stochastic homogenization

Abstract : A generic micro-scale stochastic model is presented for a large class of random anisotropic elastic microstructures allowing a parametric analysis of the Representative Volume 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 istribution 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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https://hal-upec-upem.archives-ouvertes.fr/hal-00689699
Contributor : Christian Soize <>
Submitted on : Thursday, April 19, 2012 - 6:48:50 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:08 PM
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Christian Soize. A class of tensor-valued random fields for random anisotropic elastic microstructure modeling and stochastic homogenization. 5th Computational Stochastic Mechanics Conference (CSM), 2006, Jun 2006, Rhodes, Greece. pp.613-622. ⟨hal-00689699⟩

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