Three-Dimensional Fundamental Solution for Unsaturated Poroelastic Media under Dynamic Loadings

Pooneh Maghoul (1) , Behrouz Gatmiri (2) , Denis Duhamel (3)

1 Department of Civil and Water Engineering
2 cermes - Géotechnique
3 Dynamique des structures et identification

This paper aims at obtaining a 3D fundamental solution for unsaturated soils under dynamic loadings in Laplace transform domain using the method of Hörmander. These solutions can be used, afterwards, in a convolution quadrature method (CQM)-based boundary element formulations in order to model the wave propagation phenomena in such media in time domain.

Mots clés: Boundary element method; Boundary integral equations; Fundamental solution; Frequency domain; Unsaturated soil; Porous media; Dynamic behaviour

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Pooneh Maghoul, Behrouz Gatmiri, Denis Duhamel. Three-Dimensional Fundamental Solution for Unsaturated Poroelastic Media under Dynamic Loadings. BETEQ 2011, Jul 2011, Brasilia, Brazil. pp.1-6. ⟨hal-00669010⟩