In this paper, the numerical description of the elasto-plastic behavior of saturated porous materials, consisting of a solid skeleton with liquid filled pores, will be discussed. In particular, frictional materials will be described which show small elastic but mostly plastic deformations. The elastic-plastic deformable solid skeleton and the liquid are assumed to be incompressible, where the liquid does not exhibit viscous properties. The description of the stress state is done within the framework of the geometrically-linear theory, because small deformations are assumed. The elastic strain state shall be expressed by Hooke's law and the plastic strain state with the help of a single surface yield criterion as well as a non-associated flowrule. The numerical description of the initial- and boundary-value problems is done by the finite element method within the framework of the standard Galerkin procedure.
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