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

A. Clément (1) , Christian Soize (1) , Julien Yvonnet (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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.

Mots clés: uncertainty quantification

Domaines: Mécanique [physics.med-ph]; Matériaux; Probabilités [math.PR]; Statistiques [math.ST]

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⟩