A micromechanical analysis of damage propagation in fluid-saturated cracked media

Luc Dormieux; Djimedo Kondo; Franz-Josef Ulm

doi:10.1016/j.crme.2006.05.007

A micromechanical analysis of damage propagation in fluid-saturated cracked media
[Une analyse micromécanique de la propagation de l'endommagement d'une fissure sous pression de fluide]

Présenté par : Pierre Suquet

Luc Dormieux ¹ ; Djimedo Kondo ² ; Franz-Josef Ulm ³

¹ LMSGC, ENPC, cité Descartes, 77455 Marne la Vallée cedex, France
² Laboratoire de mécanique de Lille-UMR CNRS 8107, USTL, 59655 Villeneuve d'Ascq cedex, France
³ Department of Civil Engineering, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA

Comptes Rendus. Mécanique, Volume 334 (2006) no. 7, pp. 440-446.

Abstract (VO)
Résumé

We first revisit the well known framework of Linear Elastic Fracture Mechanics (LEFM) in the case of a fluid-saturated crack. We next consider a r.e.v. of cracked medium comprising a family of cracks characterized by the corresponding crack density parameter ε. Generalizing the classical energy approach of LEFM, the proposed damage criterion is written on the thermodynamic force associated with ε, which is estimated by means of standard homogenization schemes. This criterion proves to involve a macroscopic effective strain tensor, or alternatively the Terzaghi effective stress tensor. The stability of damage propagation is discussed for various homogenization schemes. A comparison with experimental results is presented in the case of a uniaxial tensile test on concrete.

On reprend tout d'abord le cadre classique de la Mécanique Linéaire de la Rupture (MLR) en considérant le cas d'une fissure sous pression de fluide. Puis l'on s'intéresse à un v.e.r. de milieu fissuré saturé comprenant une famille de fissures caractérisée par le paramètre de densité ε correspondant. Généralisant l'approche énergétique usuelle de la MLR, le critère d'endommagement est formulé sur la force thermodynamique associée à ε, celle-ci pouvant être estimée à l'aide de divers schémas d'homogénéisation. On montre que ce critère s'exprime en fonction d'une déformation effective macroscopique, ou alternativement, en fonction de la contrainte effective de Terzaghi. La stabilité de la propagation de l'endommagement est discutée en fonction du schéma utilisé. On présente une comparaison avec les résultats d'un essai de traction uniaxiale sur une éprouvette de béton.

Reçu le : 2005-09-12
Accepté le : 2006-05-16
Publié le : 2006-06-30

DOI : 10.1016/j.crme.2006.05.007

Keywords: Damage, Homogenization, Micromechanics, Cracking, Anisotropy, Eshelby tensor
Mots-clés : Endommagement, Homogénéisation, Micromécanique, Fissure, Anisotropie, Tenseur d'Eshelby

Affiliations des auteurs :

Luc Dormieux ¹ ; Djimedo Kondo ² ; Franz-Josef Ulm ³

¹ LMSGC, ENPC, cité Descartes, 77455 Marne la Vallée cedex, France
² Laboratoire de mécanique de Lille-UMR CNRS 8107, USTL, 59655 Villeneuve d'Ascq cedex, France
³ Department of Civil Engineering, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA

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     title = {A micromechanical analysis of damage propagation in fluid-saturated cracked media},
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Luc Dormieux; Djimedo Kondo; Franz-Josef Ulm. A micromechanical analysis of damage propagation in fluid-saturated cracked media. Comptes Rendus. Mécanique, Volume 334 (2006) no. 7, pp. 440-446. doi : 10.1016/j.crme.2006.05.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.05.007/

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