Tow-dimensional fundamental solution for dynamic behaviour analysis of unsaturated soils

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

1 navier umr 8205 - Laboratoire Navier
2 cermes - Géotechnique
3 Dynamique des structures et identification

In this paper, the coupled equations governing the dynamic behaviour of unsaturated soils are derived based on the poromechanics theory in the frame of the suction-based mathematical model presented by Gatmiri (1997) and Gatmiri et al. (1998). In this formulation, the solid skeleton displacements, water pressure and air pressure are presumed to be independent variables. After, by applying the Laplace transform and by using the Kupradze method, the two-dimensional fundamental solutions are obtained in frequency domain, for such dynamic governing differential equations.

Domaines: Mécanique [physics.med-ph]

Pooneh Maghoul, Behrouz Gatmiri, Denis Duhamel. Tow-dimensional fundamental solution for dynamic behaviour analysis of unsaturated soils. 5th International Conference on Unsaturated soils, Sep 2010, Barcelone, Spain. pp.1049-1054. ⟨hal-00520534⟩