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Stochastic modeling of uncertainties in computational dynamics and applications

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 - 9:07:09 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:08 PM
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Christian Soize. Stochastic modeling of uncertainties in computational dynamics and applications. 2nd LNCC Meeting on Computational Modelling, Aug 2006, Petropolis, RJ, Brazil. pp.1-19 (Keynote Lecture). ⟨hal-00689703⟩

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