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The paper deals with the setting up of a stochastic homogenization  method in the framework of domain decomposition. We focus our investigation on the random fibre composites in the elasticity field. We generate a random representative volume elements (RVE) of the composite and evaluate its elastic properties by the double-scale homogenization. We propose an adaptation of this latter in the domain decomposition framework in order to drastically reduce the calculation cost which is important in this context.

computation, modeling, simulation, numerical methods