Effective properties of linear random materials: application to Al/SiC and resin/glass composites

International audienceHere we present a statistical study on the effective linear properties of random materials, i.e., microstructures which are random lattices described by a stochastic process. The local numerical procedure associated with the homogenization methods used here was based on a wavelet-element method. The resulting numerical results are compared with those obtained using classical theories. A new approach was developed in order to determine the effective properties in cases where the characteristics of the microstructure are not known