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Mathematical formulation of thermo-hygro-mechanical coupling problem in non-saturated porous media

✍ Scribed by Wafa Obeid; Ghassan Mounajed; Abdenour Alliche

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
469 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

A coupling model is developed to simulate the response of porous materials when subjected to combined thermal, hydrous and mechanical stresses. This modelling is based on the theory of the Mechanics of Non-Saturated Porous Media taking into account some of the simplifying assumptions, which can be justi®ed as far as buildings are concerned. The model constitutes a basis for a numerical formulation comprising space discretisation using Galerkin's method, time discretisation using the ®nite-dierence method with an implicit scheme, and non-linear computation using Newton±Raphson's method. This mathematical model was integrated in a ®nite-element code SYMPHONIE. To illustrate the model, this study covers two cases of simulation on building structure walls. These simulations concern the drying and the condensation of moisture on a thin wall.

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