Influence of capillary effects on strength of non-saturated porous media

Luc Dormieux; Julien Sanahuja; Samir Maghous

doi:10.1016/j.crme.2005.11.004

Influence of capillary effects on strength of non-saturated porous media

Presented by: Pierre Suquet

Luc Dormieux ¹ ; Julien Sanahuja ²; Samir Maghous ¹

¹ École nationale des ponts et chaussées, 6 et 8, avenue Blaise-Pascal, Champs-sur-Marne, 77455 Marne-la-Vallée, France
² Lafarge centre de recherche, 95, rue du Montmurier, BP 15, 38291 Saint-Quentin Fallavier cedex, France

Comptes Rendus. Mécanique, Volume 334 (2006) no. 1, pp. 19-24.

Abstract
Résumé

The mechanical behavior of a partially saturated porous medium is addressed by means of a micro-to-macro reasoning. First, an estimate of the quadratic average over the solid phase of the equivalent shear strain is proposed. The latter is used in the framework of a nonlinear homogenization technique (‘modified secant’ method) in order to model the nonlinear poroelastic behavior in partially saturated conditions. The determination of the macroscopic strength criterion is then considered. Finally, the influence of membrane tension effects on strength is investigated.

On met en œuvre une démarche de changement d'échelle pour étudier le comportement mécanique d'un milieu poreux non saturé. On propose d'abord une estimation de la moyenne quadratique sur la phase solide, supposée élastique linéaire, de la déformation déviatorique équivalente. Celle-ci est mise à profit ensuite pour la modélisation du comportement poroélastique non linéaire dans le cadre d'une méthode d'homogénéisation non linéaire de type « sécante modifiée ». Pour finir, on présente une détermination approchée du critère de rupture macroscopique et on étudie l'influence des tensions de membrane sur ce critère.

Received: 2005-06-16
Accepted: 2005-11-08
Published online: 2005-12-09

DOI: 10.1016/j.crme.2005.11.004

Keywords: Porous media, Nonlinear homogenization, Strength, Unsaturated
Mots-clés : Milieu poreux, Homogénéisation non linéaire, Résistance, Non saturé

Author's affiliations:

Luc Dormieux ¹; Julien Sanahuja ²; Samir Maghous ¹

¹ École nationale des ponts et chaussées, 6 et 8, avenue Blaise-Pascal, Champs-sur-Marne, 77455 Marne-la-Vallée, France
² Lafarge centre de recherche, 95, rue du Montmurier, BP 15, 38291 Saint-Quentin Fallavier cedex, France

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Luc Dormieux; Julien Sanahuja; Samir Maghous. Influence of capillary effects on strength of non-saturated porous media. Comptes Rendus. Mécanique, Volume 334 (2006) no. 1, pp. 19-24. doi : 10.1016/j.crme.2005.11.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.11.004/

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[7] M.Th. van Genuchten Closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Amer. J., Volume 44 (1980), pp. 892-898

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