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Experimental identification of Biot's hydro-mechanical coupling coefficient for cement mortar

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Abstract

The objective of the present paper is to show an experimental method allowing the characterisation of Biot's hydro-mechanical coupling coefficient for cement mortar. This coefficient results from the mathematical formulation of a thermo-hygro-mechanical coupling model for non-saturated media [3, 8, 9, 11]. In the literature, the expression of Biot's coefficient is based on an empirical formula. The proposed method of its identification is bosed on two experiments: the dimensional variation tests and the characterisation of the elastic properties as a function of different relative humidity. We deduce Biot's coefficient by using the thermal-porous-elastic behaviour law of Coussy [2, 3].

In the literature, liquid Biot's coefficientb l is often approached with the degree of liquid, saturationS l . By comparing the results of liquid Biot's coefficientb l determined experimentally and the coefficient of liquid saturationS l , we show a good agreement between the two coefficients for small to moderate relative humidity. For important relative humidity (i.e. higher than 70%), the value of liquid Biot's coefficient is slightly lower than saturation.

Résumé

L'objectif de ce papier consiste à montrer une méthode expérimentale permettant la caractérisation du coefficient de couplage hydromécanique de Biot pour le mortier de ciment. Ce coefficient résulte de la formulation mathématique d'un modèle de couplage thermo-hygro-méchanique pour les milieux poreux non-saturés [3, 8, 9, 11]. Dans la littérature, l'expression du coefficient de Biot est basée sur deux expériences: l'essai de variation dimensionnelle et de caractérisation des propriétés élastiques à différentes humidités relatives. Nous déduisons ainsi le coefficient de Biot en se servant de la loi de comportement thermo-poro-élastique de Coussy [2, 3].

Dans la littérature, le coefficient de Biot liquide bl est souvent rapproché avec le degré de la saturation liquide Sl. En comparant les résultats de ces deux coefficients, nous montrons une bonne concordance entre eux pour des humidités relatives faibles et moyennes. Par contre, pour des humidités relatives importantes (c'est-à-dire supérieures à 70%), nous trouvons que le coefficient de Biot liquide est légèrement inférieur au degré de la saturation.

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Authors and Affiliations

  1. Service des Structures, Division Expérimentation et Modélisation, Unité Modélisation Calcul et Développement, Centre Scientifique et Technique du Bâtiment, 84, Av. Jean-Jaurès, BP 02, 77421, Marne-la-Vallée Cedex 2, France

    W. Obeid & G. Mounajed

  2. Laboratoire de Mécanique de Physique, Université Pierre et Marie Curie, 4, Place Jussieu, 75252, Paris Cedex 05, France

    A. Alliche

Authors
  1. W. Obeid
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  2. G. Mounajed
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  3. A. Alliche
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Editorial Note CSTB is a RILEM Titular Member.

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Obeid, W., Mounajed, G. & Alliche, A. Experimental identification of Biot's hydro-mechanical coupling coefficient for cement mortar. Mat. Struct. 35, 229–236 (2002). https://doi.org/10.1007/BF02533084

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  • DOI: https://doi.org/10.1007/BF02533084

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