On localization modes in coupled thermo-hydro-mechanical problems

Ahmed Benallal

doi:10.1016/j.crme.2005.05.005

On localization modes in coupled thermo-hydro-mechanical problems

Presented by: Jean-Baptiste Leblond

Ahmed Benallal ¹

¹ Laboratoire de mécanique et technologie, ENS de Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 557-564.

Abstract
Résumé

A perturbation approach is used to study localization phenomena in saturated porous media when thermo-mechanical loadings and thermo-hydro-mechanical couplings are fully taken into account. We show that various types of localization modes are possible depending on the constitutive behavior and loading conditions. Examination of the associated conditions in the light of the classical band approach reveals that the differences between these modes lie in their structure which may involve jumps in different variables (beside the velocity gradient) such as the gradients of heat and fluid fluxes, the temperature and the pressure rates.

On étudie les phénomènes de localisation dans les milieux poreux saturés en prenant en compte de façon complète les couplages thermo-hydro-mécaniques. En utilisant une méthode de perturbation, on montre que plusieurs types de modes de localisation sont possibles et on donne les conditions associées. L'interprétation de ces differentes conditions dans le cadre classique d'analyse de la localisation en bandes révèle la possibilité d'émergence de diverses discontinuités (en plus de celle classique sur la vitesse de déformation). Celles-ci peuvent concerner les flux de chaleur ou de fluide, la vitesse de température ou encore la vitesse de pression

Received: 2005-03-14
Accepted: 2005-05-24
Published online: 2005-06-29

DOI: 10.1016/j.crme.2005.05.005

Keywords: Porous media, Localization, Thermo-hydro-mechanical coupling, Perturbation
Mots-clés : Milieux poreux, Localisation, Couplage thermo-hydro-mécanique, Perturbation

Author's affiliations:

Ahmed Benallal ¹

¹ Laboratoire de mécanique et technologie, ENS de Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France

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     title = {On localization modes in coupled thermo-hydro-mechanical problems},
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     language = {en},
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Ahmed Benallal. On localization modes in coupled thermo-hydro-mechanical problems. Comptes Rendus. Mécanique, Volume 333 (2005) no. 7, pp. 557-564. doi : 10.1016/j.crme.2005.05.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.05.005/

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