Two-dimensional Thermo-Poro- mechanic fundamental solution for unsaturated soils

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

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

In this article, after a brief discussion on the unsaturated soils' governing differential equations including the equilibrium, air, moisture and heat transfer equations, the closed form transient thermal fundamental solution of the governing differential equations for an unsaturated two-dimensional deformable porous medium with linear elastic behaviour for a symmetric polar domain have been introduced. The derived fundamental solution has been verified mathematically by comparison with the previously introduced corresponding fundamental solution.

Domaines: Mécanique [physics.med-ph]

Pooneh Maghoul, Behrouz Gatmiri, Denis Duhamel. Two-dimensional Thermo-Poro- mechanic fundamental solution for unsaturated soils. 9th International Conference on Boundary Element and Meshless Techniques, Jul 2008, Seville, Spain. pp.371-380. ⟨hal-00520518⟩