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Study of some optimal XFEM type methods

Chahine, Elie and Laborde, Patrick and Pommier, Julien and Renard, Yves and Salaün, Michel Study of some optimal XFEM type methods. (2007) In: Advances in Meshfree Techniques. (Computational Methods in Applied Sciences ). Springer, pp. 27-38. ISBN 978-1-4020-6094-6

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Official URL: http://dx.doi.org/10.1007/978-1-4020-6095-3

Abstract

The XFEM method in fracture mechanics is revisited. A first improvement is considered using an enlarged fixed enrichment subdomain aroud the crack tip and a bonding condition for the corresponding degree of freedom. An efficient numerical integration rule is introduced for the nonsmooth enrichment functions. The lack of accuracy due to the transition layer between the enrichment aera and the rest of the domain leads to consider a pointwise matching condition at the boundary of the subdomain. An optimal numerical rate of convergence is then obtained using such a nonconformal method.

Item Type:Book Section
Additional Information:Thanks to Springer editor. The definitive version is available at http://www.springerlink.com The original PDF of the book chapter can be found at Advances in Meshfree Techniques website :http://www.springerlink.com/content/l81280
Uncontrolled Keywords:
Institution: Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA
French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Université de Toulouse II-Le Mirail - UTM
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Deposited By:MONSU MARIE-ODILE

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