Three‐dimensional transient thermo‐hydro‐mechanical fundamental solutions of unsaturated soils |
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| Authors: | Pooneh Maghoul Behrouz Gatmiri Denis Duhamel |
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| Institution: | 1. Université Paris‐Est, UR Navier, LAMI, Ecole des Ponts, 6 et 8 Avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne la Vallée, Cedex 2, France;2. Departments of Civil Engineering, University of Tehran, P.O. Box 11365‐4563, Tehran, Iran;3. Université Paris‐Est, UR Navier, CERMES, Ecole des Ponts, 6 et 8 Avenue Blaise Pascal, Cité Descartes, Champs sur Marne, 77455 Marne la Vallée, Cedex 2, France |
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| 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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| Keywords: | unsaturated soil thermo‐hydro‐mechanical behaviour fundamental solution Laplace transform boundary element method linear elastic behaviour multiphase porous media |
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