Propriétés élastiques non linéaires d'un milieu mésofissuré

Vincent Deudé; Luc Dormieux; Djimédo Kondo; Vincent Pensée

doi:10.1016/S1631-0721(02)01489-4

Propriétés élastiques non linéaires d'un milieu mésofissuré

Vincent Deudé ¹ ; Luc Dormieux ¹ ; Djimédo Kondo ² ; Vincent Pensée ²

¹ CERMMO, École nationale des ponts et chaussées, 77455 Marne-la-Vallée, France
² Laboratoire de mécanique de Lille, URA CNRS 1441, Université de Lille-I, Bd. Paul Langevin, 59655 Villeneuve d'Ascq cedex, France

Comptes Rendus. Mécanique, Volume 330 (2002) no. 8, pp. 587-592.

Résumé
Abstract

On démontre que l'influence de fissures fermées non frottantes sur les caractéristiques élastiques macroscopiques d'un milieu fissuré peut être évaluée par une technique d'estimation basée sur la théorie d'Eshelby. L'idée consiste à remplacer la fissure par un matériau fictif de module de cisaillement nul et de module de compression identique à celui du solide. La fermeture progressive des fissures est responsable de la non linéarité du comportement macroscopique. Ce phénomène permet de déterminer la distribution de la densité de fissures en fonction du rapport d'aspect initial.

It is shown that the influence of closed frictionless cracks on overall elasticity can be evaluated by estimates based on Eshelby's theory. The idea consists in replacing the closed cracks by a ficticious material with shear modulus equal to 0 and a bulk modulus identical to that of the solid. Progressive crack closure is responsible for the nonlinearity of the overall elasticity. From this phenomenon, the distribution of crack density as a function of the initial aspect ratio can be determined.

Reçu le : 2001-10-23
Accepté le : 2002-03-12
Publié le : 2002-01-01

DOI : 10.1016/S1631-0721(02)01489-4

Mots-clés : endommagement, micromécanique, mésofissuration, non linéarité, effets unilatéraux
Keywords: damage, micromechanics, mesocracking, nonlinearity, unilateral effects

Affiliations des auteurs :

Vincent Deudé ¹ ; Luc Dormieux ¹ ; Djimédo Kondo ² ; Vincent Pensée ²

¹ CERMMO, École nationale des ponts et chaussées, 77455 Marne-la-Vallée, France
² Laboratoire de mécanique de Lille, URA CNRS 1441, Université de Lille-I, Bd. Paul Langevin, 59655 Villeneuve d'Ascq cedex, France

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     author = {Vincent Deud\'e and Luc Dormieux and Djim\'edo Kondo and Vincent Pens\'ee},
     title = {Propri\'et\'es \'elastiques non lin\'eaires d'un milieu m\'esofissur\'e},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {587--592},
     publisher = {Elsevier},
     volume = {330},
     number = {8},
     year = {2002},
     doi = {10.1016/S1631-0721(02)01489-4},
     language = {fr},
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Vincent Deudé; Luc Dormieux; Djimédo Kondo; Vincent Pensée. Propriétés élastiques non linéaires d'un milieu mésofissuré. Comptes Rendus. Mécanique, Volume 330 (2002) no. 8, pp. 587-592. doi : 10.1016/S1631-0721(02)01489-4. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01489-4/

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