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Dynamic analysis of a fully saturated porous medium accounting for geometrical and material non-linearities. (English) Zbl 0842.76087

Summary: Based on the theory of porous media (mixture theories extended by the concept of volume fractions), a model describing the dynamical behaviour of a saturated binary porous medium is presented including both geometrical and material nonlinearities. Transformed toward a weak formulation, the model equations are solved by use of the finite element method. Applications of the model range from one-dimensional linear problems to two-dimensional problems including the full dynamics and nonlinearities.

MSC:

76S05 Flows in porous media; filtration; seepage
76M10 Finite element methods applied to problems in fluid mechanics
74E05 Inhomogeneity in solid mechanics
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