A formulation for an unsaturated porous medium undergoing large inelastic strains |
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Authors: | L Sanavia B A Schrefler P Steinmann |
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Affiliation: | (1) Department of Structural and Transportation Engineering, University of Padua, via F. Marzolo 9, I-35131 Padua, Italy e-mail: sanavia@caronte.dic.unipd.it, IT;(2) Chair of Applied Mechanics, University of Kaiserslautern, PO-Box 3049, D-67653 Kaiserlautern, Germany, DE |
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Abstract: | This paper presents a formulation for a saturated and partially saturated porous medium undergoing large elastic or elastoplastic
strains. The porous material is treated as a multiphase continuum with the pores of the solid skeleton filled by water and
air, this last one at constant pressure. This pressure may either be the atmospheric pressure or the cavitation pressure.
The governing equations at macroscopic level are derived in a spatial and a material setting. Solid grains and water are assumed
to be incompressible at the microscopic level. The isotropic elastoplastic behaviour of the solid skeleton is described by
the multiplicative decomposition of the deformation gradient into an elastic and a plastic part. The effective stress state
is limited by the Drucker-Prager yield surface, for which a particular “apex formulation” is advocated. The water is assumed
to obey Darcy's law. Numerical examples of strain localisation of dense and loose sand conclude the paper.
Received 15 March 2001 |
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