Modeling flows in periodically heterogeneous porous media with deformation-dependent permeability
Eduard Rohan, Vladimír Lukeš, Robert Cimrman · UPCommons institutional repository (Universitat Politècnica de Catalunya) · 2013
The paper proposes a non-linear model of the Biot continuum. The nonlienarity is introduced in terms of the material coefficients which are expressed as linear functions of the macroscopic response. These functions are obtained by the sensitivity analysis of the homogenized coefficients computed for a given geometry of the porous structure which transforms due to the local deformation. Linear kinematics is assumed, however, the approach can be extended to large deforming porous materials.