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Numerical description of elastic‐plastic behavior of saturated porous media
Author(s) -
Skolnik J.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801342
Subject(s) - compressibility , materials science , levy–mises equations , finite element method , porous medium , porosity , mechanics , plasticity , boundary value problem , stress (linguistics) , mathematics , mathematical analysis , composite material , physics , thermodynamics , stress intensity factor , linguistics , philosophy
In this paper, the numerical description of the elasto‐plastic behavior of saturated porous materials, consting 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 pow rule. 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.