Criteria on the artificial compliance inherent to the intrinsic cohesive zone

Nawfal Blal; Loic Daridon; Yann Monerie; Stéphane Pagano

doi:10.1016/j.crme.2011.10.001

Criteria on the artificial compliance inherent to the intrinsic cohesive zone

Nawfal Blal ^1,^2,³; Loic Daridon ^1,³; Yann Monerie ^2,³ ; Stéphane Pagano ^1,³

¹ Laboratoire de mécanique et génie civil, université Montpellier 2, CNRS, CC 048 place Eugène Bataillon, 34095 Montpellier cedex, France
² Institut de radioprotection et de sûreté nucléaire, bâtiment 702, CE Cadarache, BP3-13115 St. Paul-lez-Durance cedex, France
³ Laboratoire de micromécanique et dʼintégrité des structures, MIST Laboratory, IRSN-CNRS-Université Montpellier 2, France

Comptes Rendus. Mécanique, Volume 339 (2011) no. 12, pp. 789-795.

Abstract
Résumé

This Note presents criteria on the artificial compliance due to intrinsic cohesive zone models. A homogenized model is proposed for a collection of cohesive zones embedded between each mesh of a finite element-type discretization (cohesive-volumetric approach). The overall elastic behavior of this cohesive-volumetric medium is obtained as a function of the local properties and the mesh size. For an isotropic discretization, a criterion on the cohesive stiffnesses is derived: the additional compliance inherent to intrinsic cohesive zone models is bounded by lower value.

Cette Note propose des critères pour la souplesse additionnelle inhérente aux modèles de zones cohésives intrinsèques. Un modèle micromécanique est développé pour une collection de zones cohésives insérées entre toutes les mailles dʼune discrétisation spatiale de type éléments finis (approche cohésive-volumique). Le comportement linéaire effectif du milieu cohésif-volumique est relié aux propriétés locales et à la taille de maille. Pour une discrétisation isotrope, un critère est obtenu pour les raideurs cohésives : la souplesse additionnelle macroscopique liée à la présence de modèles cohésifs est minorée.

Received: 2011-07-11
Accepted: 2011-10-18
Published online: 2011-11-09

DOI: 10.1016/j.crme.2011.10.001

Keywords: Damage, Cohesive zone model, Rigorous criteria, Cohesive stiffness, Homogenization
Mots-clés : Endommagement, Modèle de zone cohésive, Critères rigoureux, Raideur cohésive, Homogénéisation

Author's affiliations:

Nawfal Blal ^{1, 2, 3}; Loic Daridon ^{1, 3}; Yann Monerie ^{2, 3}; Stéphane Pagano ^{1, 3}

¹ Laboratoire de mécanique et génie civil, université Montpellier 2, CNRS, CC 048 place Eugène Bataillon, 34095 Montpellier cedex, France
² Institut de radioprotection et de sûreté nucléaire, bâtiment 702, CE Cadarache, BP3-13115 St. Paul-lez-Durance cedex, France
³ Laboratoire de micromécanique et dʼintégrité des structures, MIST Laboratory, IRSN-CNRS-Université Montpellier 2, France

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     author = {Nawfal Blal and Loic Daridon and Yann Monerie and St\'ephane Pagano},
     title = {Criteria on the artificial compliance inherent to the intrinsic cohesive zone},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {789--795},
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     number = {12},
     year = {2011},
     doi = {10.1016/j.crme.2011.10.001},
     language = {en},
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Nawfal Blal; Loic Daridon; Yann Monerie; Stéphane Pagano. Criteria on the artificial compliance inherent to the intrinsic cohesive zone. Comptes Rendus. Mécanique, Volume 339 (2011) no. 12, pp. 789-795. doi : 10.1016/j.crme.2011.10.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.10.001/

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