[Critères sur les raideurs cohésives pour les formulations intrinsèques]
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.
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.
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Mot clés : Endommagement, Modèle de zone cohésive, Critères rigoureux, Raideur cohésive, Homogénéisation
Nawfal Blal 1, 2, 3 ; Loic Daridon 1, 3 ; Yann Monerie 2, 3 ; Stéphane Pagano 1, 3
@article{CRMECA_2011__339_12_789_0,
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},
publisher = {Elsevier},
volume = {339},
number = {12},
year = {2011},
doi = {10.1016/j.crme.2011.10.001},
language = {en},
}
TY - JOUR AU - Nawfal Blal AU - Loic Daridon AU - Yann Monerie AU - Stéphane Pagano TI - Criteria on the artificial compliance inherent to the intrinsic cohesive zone JO - Comptes Rendus. Mécanique PY - 2011 SP - 789 EP - 795 VL - 339 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2011.10.001 LA - en ID - CRMECA_2011__339_12_789_0 ER -
%0 Journal Article %A Nawfal Blal %A Loic Daridon %A Yann Monerie %A Stéphane Pagano %T Criteria on the artificial compliance inherent to the intrinsic cohesive zone %J Comptes Rendus. Mécanique %D 2011 %P 789-795 %V 339 %N 12 %I Elsevier %R 10.1016/j.crme.2011.10.001 %G en %F CRMECA_2011__339_12_789_0
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/
[1] A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation, Mechanics of Materials, Volume 35 (2003), pp. 333-364
[2] Bounds for element size in a variable stiffness cohesive finite element model, International Journal for Numerical Methods in Engineering, Volume 61 (2004), pp. 1894-1920
[3] V. Acary, Y. Monerie, Non-smooth fracture dynamics using a cohesive zone approach, Tech. Rep. RR-6032, Institut National de Recherche en Informatique et en Automatique, 2006.
[4] A variational approach to the theory of the elastic behaviour of multiphase materials, Journal of the Mechanics and Physics of Solids, Volume 11 (1963), pp. 127-140
[5] Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces, European Journal of Mechanics A/Solids, Volume 19 (2000), pp. 761-779
[6] A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material, Engineering Fracture mechanics, Volume 73 (2006), pp. 2829-2848
[7] Une modélisation du rôle des interfaces dans le comportement des composites à matrice métallique, Revue Européenne des Eléments Finis, Volume 4 (1994), pp. 573-595
[8] Bounds and self-consistent estimates for the overall properties of anisotropic composites, Journal of the Mechanics and Physics of Solids, Volume 25 (1977), pp. 185-202
[9] Elastic behavior of porous ceramics: application to nuclear fuel materials, Journal of Nuclear Materials, Volume 336 (2005), pp. 145-155
[10] Effective elastic properties of matrix composites with transversely-isotropic phases, International journal of Solids and Structures, Volume 42 (2005), pp. 455-476
[11] Two field multibody method for periodic homogenization in fracture mechanics of nonlinear heterogeneous materials, Engineering Fracture Mechanics, Volume 75 (2008), pp. 3378-3398
[12] Multi-body NSCD strategy as a multi-domain solver. Application to code coupling dedicated to the modeling of fracture of heterogeneous media, European Journal of Computational Mechanics, Volume 19 (2010), pp. 389-417
[13] Stochastic Geometry and Its Applications, John Wiley and Sons, Chichester, New York, Brisbane, Toronto, Singapore, 1995
[14] On damage theory of a cohesive medium, International Journal of Engineering Science, Volume 42 (2004), pp. 861-885
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