THEORETICAL AND APPLIED MECHANICS

   TEORIJSKA I PRIMENJENA MEHANIKA  2002

Vol.28-29, pp.337-378

Summary: 

J. J. Telega    W. Bielski

Stochastic homogenization and macroscopic modelling of composites and flow through porous media

The aim of this contribution is mainly twofold. First, the stochastic two-scale convergence in the mean developed by Bourgeat et al. [13] is used to derive the macroscopic models of: (i) diffusion in random porous medium, (ii) nonstationary flow of Stokesian fluid through random linear elastic porous medium. Second, the multi-scale convergence method developed by Allaire and Briane [7] for the case of several microperiodic scales is extended to random distribution of heterogeneities characterized by separated scales (stochastic reiterated homogenization).