Geodesic
A numerical approach for modelling thin cracked plates with XFEM
Jérémie Lasry1 ; Yves Renard2 ; Michel Salaün3
1 MIP-IMT, CNRS UMR 5219, INSAT, Complexe scientifique de Rangueil, 31077 Toulouse, France,
2 Université de Lyon, CNRS INSA-Lyon, ICJ UMR5208, LaMCoS UMR5259, F-69621, Villeurbanne, France,
3 Université de Toulouse, ISAE, 10 av. Edouard Belin, 31055 Toulouse cedex, France,
ESAIM. Proceedings, Tome 27 (2009), pp. 240-253.

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The modelization of bending plates with through the thickness cracks is investigated. We consider the Kirchhoff-Love plate model which is valid for very thin plates. We apply the eXtended Finite Element Method (XFEM) strategy: enrichment of the finite element space with the asymptotic bending and with the discontinuity across the crack. We present two variants and their numerical validations and also a numerical computation of the stress intensity factors.
DOI : 10.1051/proc/2009030

Jérémie Lasry 1 ; Yves Renard 2 ; Michel Salaün 3

1 MIP-IMT, CNRS UMR 5219, INSAT, Complexe scientifique de Rangueil, 31077 Toulouse, France,
2 Université de Lyon, CNRS INSA-Lyon, ICJ UMR5208, LaMCoS UMR5259, F-69621, Villeurbanne, France,
3 Université de Toulouse, ISAE, 10 av. Edouard Belin, 31055 Toulouse cedex, France, 
@article{EP_2009_27_a13,
     author = {J\'er\'emie Lasry and Yves Renard and Michel Sala\"un},
     title = {A numerical approach for modelling thin cracked plates with {XFEM}},
     journal = {ESAIM. Proceedings},
     pages = {240--253},
     publisher = {mathdoc},
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     year = {2009},
     doi = {10.1051/proc/2009030},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2009030/}
}
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Jérémie Lasry; Yves Renard; Michel Salaün. A numerical approach for modelling thin cracked plates with XFEM. ESAIM. Proceedings, Tome 27 (2009), pp. 240-253. doi : 10.1051/proc/2009030. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009030/

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