Stochastic homogenization and macroscopic modelling of composites and flow through porous mediaAuthor(s): Telega Jozef Joachim | Bielski Wlodzimierz
Journal: Theoretical and Applied Mechanics ISSN 1450-5584
Volume: 2002; Issue: 28-29; Start page: 337; Date: 2002;
The aim of this contribution is mainly twofold. First, the stochastic two-scale convergence in the mean developed by Bourgeat et al.  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  for the case of several microperiodic scales is extended to random distribution of heterogeneities characterized by separated scales (stochastic reiterated homogenization). .