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eXtended finite element methods for thin cracked plates with Kirchhoff–Love theory

Lasry, Jérémie and Pommier, Julien and Renard, Yves and Salaün, Michel eXtended finite element methods for thin cracked plates with Kirchhoff–Love theory. (2010) International Journal for Numerical Methods in Engineering, 84 (9). 1115-1138. ISSN 0029-5981

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Official URL: http://dx.doi.org/10.1002/nme.2939


A modelization of cracked plates under bending loads in the XFEM framework is addressed. The Kirchhoff–Love model is considered. It is well suited for very thin plates commonly used for instance in aircraft structures. Reduced HCT and FVS elements are used for the numerical discretization. Two kinds of strategies are proposed for the enrichment around the crack tip with, for both of them, an enrichment area of fixed size (i.e. independant of the mesh size parameter). In the first one, each degree of freedom inside this area is enriched with the nonsmooth functions that describe the asymptotic displacement near the crack tip. The second strategy consists in introducing these functions in the finite element basis with a single degree of freedom for each one. An integral matching is then used in order to ensure the C1 continuity of the solution at the interface between the enriched and the non-enriched areas. Finally, numerical convergence results for these strategies are presented and discussed.

Item Type:Article
HAL Id:hal-00629684
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)
Other partners > Institut National des Sciences Appliquées de Lyon - 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)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Université Jean Monnet - St Etienne (FRANCE)
Other partners > Ecole Centrale de Lyon (FRANCE)
Laboratory name:
Airbus; contract/grant number: 001847Centre National de la Recherche Scientifique; contract/grant number: 060131Agence Nationale de la Recherche; contract/grant number: ANR-05-JCJC-0182-01
Deposited By: Michel Salaun
Deposited On:16 Apr 2013 09:16

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