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High order extended finite element method for cracked domains

Laborde, Patrick and Pommier, Julien and Renard, Yves and Salaün, Michel High order extended finite element method for cracked domains. (2005) International Journal for Numerical Methods in Engineering, vol. 64 (n° 3). pp. 354-381. ISSN 0029-5981

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.1370/abstract

Abstract

The aim of the paper is to study the capabilities of the Extended Finite Element Method (XFEM) to achieve accurate computations in non smooth situations such as crack problems. Although the XFEM method ensures a weaker error than classical finite element methods, the rate of convergence is not improved when the mesh parameter h is going to zero because of the presence of a singularity. The difficulty can be overcome by modifying the enrichment of the finite element basis with the asymptotic crack tip displacement solutions as well as with the Heaviside function. Numerical simulations show that the modified XFEM method achieves an optimal rate of convergence (i.e. like in a standard finite element method for a smooth problem)

Item Type:Article
Additional Information:Thanks to John Wiley editor. The definitive version is available at http://onlinelibrary.wiley.com. The original PDF of the article can be found at International Journal for Numerical Methods in Engineering website: http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291097-0207
HAL Id:hal-00815711
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: Michel Salaun
Deposited On:19 Apr 2013 09:32

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