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Computational homogenization and nonlinear effects in heterogeneous fluid saturated porous media

For the two‐scale modelling of deforming fluid‐saturated porous structure we apply the asymptotic homogenization approach to the fluid‐structure interaction problem involving linear elastic porous skeleton and the Newtonian compressible fluid. The sensitivity analysis of effective coefficients depending on the geometrical configuration is used to introduce a weakly nonlinear formulation which enables to capture influences of the deformation on the material properties. The paper is devoted to the comparison of the linear and the weakly nonlinear models (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)