Comptes Rendus
Crack initiation at a V-notch—comparison between a brittle fracture criterion and the Dugdale cohesive model
Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 388-393.

The cohesive zone models are an alternative to fracture criteria for the prediction of crack initiation at stress concentration points in brittle materials. We propose here a comparison between the so-called mixed criterion involving a twofold condition (energy and stress) and the Dugdale cohesive model. The predictions of the critical load leading to failure are in perfect agreement and both models conclude that the initial process is unstable except in case of a pre-existing crack.

Les modèles de zone cohésive constituent une alternative aux critères d'amorçage de fissures aux points de concentration de contraintes dans les matériaux fragiles. On se propose ici de comparer le critère dit « mixte », basé sur une double condition en énergie et en contrainte, et le modèle de zone cohésive de Dugdale. Les prédictions de la charge critique d'amorçage coïncident parfaitement, et les deux modèles concluent à l'instabilité du processus d'amorçage sauf dans le cas d'une fissure pré-existante.

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Published online:
DOI: 10.1016/j.crme.2007.05.018
Keywords: Rupture, Elasticity, Brittle materials, Cohesive zone
Mot clés : Rupture, Élasticité, Matériaux fragiles, Zone cohésive

Carole Henninger 1; Dominique Leguillon 1; Eric Martin 2

1 Institut Jean-Le-Rond-d'Alembert, UMR 7190, université Pierre-et-Marie-Curie, case 162, 4, place Jussieu, 75252 Paris cedex 05, France
2 Laboratoire des composites thermo-structuraux, UMR 5801, université Bordeaux 1, 3, allée de La Boëtie, 33600 Pessac, France
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Carole Henninger; Dominique Leguillon; Eric Martin. Crack initiation at a V-notch—comparison between a brittle fracture criterion and the Dugdale cohesive model. Comptes Rendus. Mécanique, Volume 335 (2007) no. 7, pp. 388-393. doi : 10.1016/j.crme.2007.05.018. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.05.018/

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