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Etude et simulation numérique de la rupture dynamique des séismes par des méthodes d'éléments finis discontinus

Mondher Benjemaa 1
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : This work is devoted to the study and the numerical simulation of 2D and 3D dynamic crack rupture by a discontinuous Galerkin finite element method. The initial partial differential equations are transformed in order to get a symmetric pseudo-conservative form, for which we design a discontinuous Galerkin formulation with centered numerical fluxes and explicit leap-frog time scheme. Throughout the study of a discrete energy, we specify in a weak sense the boundary conditions on the fault surface for the shear rupture mode. We demonstrate that this energy is conserved when no traction is applied on the fault. We investigate various complex test-cases and we compare our solutions with those obtained by other methods. The fine agreement with other results validates our approach and illustrates the good behavior of the method we propose.
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https://tel.archives-ouvertes.fr/tel-00222870
Contributor : Mondher Benjemaa <>
Submitted on : Tuesday, January 29, 2008 - 3:06:33 PM
Last modification on : Monday, October 19, 2020 - 11:01:26 AM
Long-term archiving on: : Friday, April 30, 2010 - 4:29:53 PM

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  • HAL Id : tel-00222870, version 1

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Mondher Benjemaa. Etude et simulation numérique de la rupture dynamique des séismes par des méthodes d'éléments finis discontinus. Mathématiques [math]. Université Nice Sophia Antipolis, 2007. Français. ⟨tel-00222870⟩

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