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Three-dimensional transient thermo-hydro-mechanical fundamental solutions of unsaturated soils

✍ Scribed by Pooneh Maghoul; Behrouz Gatmiri; Denis Duhamel

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
251 KB
Volume
34
Category
Article
ISSN
0363-9061

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✦ Synopsis

Abstract

The governing differential equations of unsaturated soils considering the thermo‐poro‐mechanical behaviour consist of equilibrium, moisture air and heat transfer equations. In this paper at first, following some necessary simplifications, the thermal three‐dimensional fundamental solution for an unsaturated deformable porous medium with linear elastic behaviour in Laplace transform domain is presented. Subsequently, the closed‐form time domain fundamental solutions are derived by analytical inversion of the Laplace transform domain solutions. Then a set of numerical results are presented, which demonstrate the accuracies and some salient features of the derived analytical transient fundamental solutions. Finally, the closed‐form time domain fundamental solution will be verified mathematically by comparison with the previously introduced corresponding fundamental solution. Copyright © 2009 John Wiley & Sons, Ltd.

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## Abstract This paper proposes a __multi‐level__ parallelized substructuring–frontal __combined__ algorithm for the analysis of the problem of thermo/hydraulic/mechanical behaviour of unsaturated soil. Temperature, displacement, pore water pressure and pore air pressure are treated as the primary