Mixed-mode crack propagation using a Hybrid Analytical and eXtended Finite Element Method

Julien Réthoré; Stéphane Roux; François Hild

doi:10.1016/j.crme.2010.03.001

Mixed-mode crack propagation using a Hybrid Analytical and eXtended Finite Element Method

Julien Réthoré ¹ ; Stéphane Roux ²; François Hild ²

¹ LaMCoS, Université de Lyon/INSA Lyon/CNRS, 20, avenue des sciences, 69621 Villeurbanne cedex, France
² LMT-Cachan, ENS de Cachan/CNRS/UPMC/PRES UniverSud Paris, 61 avenue du Président Wilson, 94235 Cachan cedex, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 121-126.

Abstract
Résumé

A Hybrid Analytical and eXtended Finite Element Method (HAX-FEM) is proposed to study the propagation of curved mixed-mode cracks. A Double Edge Notched test on a concrete sample is simulated. A specific treatment is proposed to account for crack initiation from a finite width notch. The crack morphology is in good agreement with previously published experimental results.

Une méthode hybride analytique et éléments finis étendus est utilisée pour étudier la propagation de fissures courbes en mode mixte. Un essai sur un spécimen doublement entaillé est simulé. Un traitement spécifique de l'amorçage de la fissure à partir d'une entaille large est proposé dans le cadre de cette méthode. La trajectoire de la fissure est en bon accord avec des résultats expérimentaux de la littérature.

Received: 2009-09-04
Accepted: 2010-03-04
Published online: 2010-03-01

DOI: 10.1016/j.crme.2010.03.001

Keywords: Rupture, Crack propagation, Extended Finite Element Method, Analytical model
Mots-clés : Rupture, Propagation de fissure, Méthode des éléments finis étendus, Méthode analytique

Author's affiliations:

Julien Réthoré ¹; Stéphane Roux ²; François Hild ²

¹ LaMCoS, Université de Lyon/INSA Lyon/CNRS, 20, avenue des sciences, 69621 Villeurbanne cedex, France
² LMT-Cachan, ENS de Cachan/CNRS/UPMC/PRES UniverSud Paris, 61 avenue du Président Wilson, 94235 Cachan cedex, France

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     author = {Julien R\'ethor\'e and St\'ephane Roux and Fran\c{c}ois Hild},
     title = {Mixed-mode crack propagation using a {Hybrid} {Analytical} and {eXtended} {Finite} {Element} {Method}},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {121--126},
     publisher = {Elsevier},
     volume = {338},
     number = {3},
     year = {2010},
     doi = {10.1016/j.crme.2010.03.001},
     language = {en},
}

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Julien Réthoré; Stéphane Roux; François Hild. Mixed-mode crack propagation using a Hybrid Analytical and eXtended Finite Element Method. Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 121-126. doi : 10.1016/j.crme.2010.03.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.001/

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