Summary
Within the general framework of porous media theories (mixture theories extended by the concept of volume fractions), the paper presents an overview of theoretical and computational aspects of the consolidation problem. In particular, consolidation phenomena are described by the assumption of a two-phase continuum model consisting of an elasto-plastic porous soil matrix saturated by a viscous pore-fluid. In the elastic regime, the porous soil is modeled by a finite elasticity law of Simo-Pister type, while the plastic range (first yielding and isotropic hardening) is governed by a “single surface” yield function together with a non-associated flow rule. The fluid viscosity is included in the drag force. In the present paper, a numerical example for a plain strain problem is carried out within the geometrically non-linear approach by the finite element method, where, in the elasto-plastic regime, use is made of an elastic predictor/plastic corrector scheme.
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© 1997 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Ehlers, W., Diebels, S., Mahnkopf, D. (1997). Theoretical and Numerical Aspects of Elasto-Plastic Porous Media Models. In: Helmig, R., Jäger, W., Kinzelbach, W., Knabner, P., Wittum, G. (eds) Modeling and Computation in Environmental Sciences. Notes on Numerical Fluid Mechanics (NNFM), vol 59. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89565-3_11
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DOI: https://doi.org/10.1007/978-3-322-89565-3_11
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