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Communication Dans Un Congrès Année : 2010

Three-Dimensional Fundamental Solution for the Dynamic Behaviour Analysis of Multiphasic Porous Media

Pooneh Maghoul
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  • PersonId : 879620
Behrouz Gatmiri
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  • PersonId : 879623
Denis Duhamel

Résumé

It has long been recognized that surface topographies can have crucial influences on damage severity and its spatial distribution during strong earthquakes. Site response analysis of topographical structures could only be solved accurately, economically and under realistic conditions, with the aid of numerical methods such as the Boundary Element Method (BEM). The basic idea of BEM consists of transformation of partial differential equation into a boundary integral equation and obtaining the fundamental solutions of the corresponding adjoint partial differential equations. Then a system of algebraic equations can be formed by bringing the field point to the surface, discretizing of surface and integrating numerically over it. In this paper, three-dimensional fundamental kernels for the integral equations or fundamental solutions of point force and source are obtained in frequency domain, for the dynamic unsaturated poroelasticity governing differential equations which are established in terms of solid displacements, water and air pressure.
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Dates et versions

hal-00520503 , version 1 (23-09-2010)

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  • HAL Id : hal-00520503 , version 1

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Pooneh Maghoul, Behrouz Gatmiri, Denis Duhamel. Three-Dimensional Fundamental Solution for the Dynamic Behaviour Analysis of Multiphasic Porous Media. IV European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering, May 2010, Paris, France. ⟨hal-00520503⟩
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