A Boundary Element Formulation based on the Convolution Quadrature Method for the Quasi-static Behaviour Analysis of the Unsaturated Soils

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

1 navier umr 8205 - Laboratoire Navier
2 Departement of Civil Engineering
3 Dynamique des structures et identification

This paper aims at obtaining an advanced formulation of the time-domain Boundary Element Method (BEM) for two-dimensional consolidation analysis of unsaturated soil. Unlike the usual time-domain BEM the present formulation applies a Convolution Quadrature developed by Lubich [1,2] which requires only the Laplace-domain instead of the time-domain fundamental solutions.

Mots clés: Boundary element method; Boundary integral equations; Fundamental solution; Convolution quadrature method; Unsaturated soil; Porous media; Consolidation analysis

Domaines: Mécanique des structures [physics.class-ph]

Pooneh Maghoul, Behrouz Gatmiri, Denis Duhamel. A Boundary Element Formulation based on the Convolution Quadrature Method for the Quasi-static Behaviour Analysis of the Unsaturated Soils. 11th International Conference on Boundary Element and Meshless Techniques, Jul 2010, Berlin, Germany. ⟨hal-01628831⟩