BEM modeling of saturated porous media susceptible to damage |
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Authors: | E.T. Lima Junior W.S. VenturiniA. Benallal |
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Affiliation: | a Technology Center, Federal University of Alagoas, Maceió, Brazil b São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil c Laboratoire de Mécanique et Technologie, ENS de Cachan/CNRS, Cachan, France |
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Abstract: | This paper deals with the numerical analysis of saturated porous media, taking into account the damage phenomena on the solid skeleton. The porous media is taken into poro-elastic framework, in full-saturated condition, based on Biot’s Theory. A scalar damage model is assumed for this analysis. An implicit boundary element method (BEM) formulation, based on time-independent fundamental solutions, is developed and implemented to couple the fluid flow and two-dimensional elastostatic problems. The integration over boundary elements is evaluated using a numerical Gauss procedure. A semi-analytical scheme for the case of triangular domain cells is followed to carry out the relevant domain integrals. The non-linear problem is solved by a Newton-Raphson procedure. Numerical examples are presented, in order to validate the implemented formulation and to illustrate its efficacy. |
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Keywords: | Porous media Isotropic damage Consolidation BEM |
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