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A numerical approach for modelling thin cracked plates with XFEM

Abstract : 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.
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Jérémie Lasry, Yves Renard, Michel Salaün. A numerical approach for modelling thin cracked plates with XFEM. ESAIM: Proceedings, EDP Sciences, 2009, vol. 27, pp. 240-253. ⟨10.1051/proc/2009030⟩. ⟨hal-00813993⟩

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