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

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.