Abstract
Equations governing the nonlinear phenomenon of fluid flow through deformable porous media are presented in this paper. The proposed formulation is based on a continuum theory of mixtures using a total Lagrangian approach, where large displacement/large strain cases are considered. The incremental finite element equations are obtained using a direct Galerkian approach. Numerical results are presented for several problems assuming infinitesimal strains. Comparisons with known solutions demonstrate the validity of this approach. The effect of nonlinear solid phase behavior is discussed and shown to be very substantial.
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