Isotropic damage phenomena in saturated porous media : a BEM formulation

Isotropic damage phenomena in saturated porous media : a BEM formulation

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This work is devoted to the numerical analysis of saturated porous media, taking into accountthe damage phenomenon on the solid skeleton. The porous media is taken into poroelasticframework, in full-saturated condition, based on the Biot's Theory. A scalar damage model isassumed for this analys...

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Bibliographic Details
Main Author: Toledo de Lima Junior, Eduardo
Language:ENG
Published: École normale supérieure de Cachan - ENS Cachan 2011
Subjects:
[SPI:OTHER] Engineering Sciences/Other
[SPI:OTHER] Sciences de l'ingénieur/Autre
Saturated Porous Media
Isotropic Damage
Boundary Element Method
Online Access:http://tel.archives-ouvertes.fr/tel-00749754
http://tel.archives-ouvertes.fr/docs/00/74/97/54/PDF/ToledodeLimaJr2011.pdf
Description
Summary:This work is devoted to the numerical analysis of saturated porous media, taking into accountthe damage phenomenon on the solid skeleton. The porous media is taken into poroelasticframework, in full-saturated condition, based on the Biot's Theory. A scalar damage model isassumed for this analysis. An implicit Boundary element Method (BEM) formulation, basedon time-independent fundamental solutions, is developed and implemented to couple thefluid flow and the elasto-damage problems. The integration over boundary elements isevaluated by using a numerical Gauss procedure. A semi-analytical scheme for the case oftriangular domain cells is followed to carry out the relevant domain integrals. The non-linearsystem is solved by a Newton-Raphson procedure. Numerical examples are presented, inorder to validate the implemented formulation and to illustrate its efficiency.

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