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Computational nonlinear stochastic homogenization using a non-concurrent multiscale approach for hyperelastic heterogeneous microstructures analysis

Abstract : We present an analysis of the effects of stochastic dimension on a solver based on a tensorial product decomposition for studying propagation of uncertainties in nonlinear boundary value problems. An application to computational nonlinear stochastic homogenization for hyperelastic heterogeneous materials, where the geometry of the microstructure is random, is proposed.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00701614
Contributor : Christian Soize <>
Submitted on : Friday, May 25, 2012 - 4:47:46 PM
Last modification on : Thursday, March 19, 2020 - 11:52:03 AM

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  • HAL Id : hal-00701614, version 1

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A. Clément, Christian Soize, Julien Yvonnet. Computational nonlinear stochastic homogenization using a non-concurrent multiscale approach for hyperelastic heterogeneous microstructures analysis. SIAM Conference on Uncertainty Quantification, Apr 2012, Raleigh, North Carolina, United States. pp.1. ⟨hal-00701614⟩

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