Publication :


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

Authors: J. Lasry, J. Pommier, Y. Renard and M. Salaün
Year: novembre 2010
Journal: International Journal for Numerical Methods in Engineering.
Volume: 84, Number: 9, Pages: 1115-1138

DOI: 10.1002/nme.2939
OATAO: 8885
Référencé ISI Web Of Science

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 C(1) 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.

Bibtex citation :
Author={Lasry, J. and Pommier, J. and Renard, Y. and Sala\"un, M.},
Title={eXtended finite element methods for thin cracked plates with Kirchhoff-Love theory},
Journal={International Journal for Numerical Methods in Engineering},

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