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SIAM Conference on Uncertainty Quantification, Raleigh, North Carolina : United States (2012)
Computational nonlinear stochastic homogenization using a non-concurrent multiscale approach for hyperelastic heterogeneous microstructures analysis
A. Clément1, C. Soize1, J. Yvonnet1

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.
1 :  MSME - Laboratoire de Modélisation et Simulation Multi Echelle
uncertainty quantification