Development of a finite element enriched method adapted for the case of multiple cracked structure

Emilien Durif (1, 2) , Julien Réthoré (1, 2) , Alain Combescure (1, 2)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 MIMESIS - Mécanique Multiéchelle pour les solides

The present method is based on the eXtended Finite Element Method and the partition of unity properties which allows the addition of enriched functions in the displacement field discretization. Those correspond to the analytical displacement field near a straight crack. The additionnal degrees of freedom correspond directly to the Stress Intensity Factors. This method is validated in mode 1 and mixed mode. A parametric study has been performed to analyse the effect of different parameters on the accuracy of the method. The case of two shading cracks has also been investigated.

Mots clés: eXtended finite element method; analytical enrichment; interacting cracks

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Emilien Durif, Julien Réthoré, Alain Combescure. Development of a finite element enriched method adapted for the case of multiple cracked structure. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2010, 19, pp.217-228. ⟨10.3166/ejcm.19.217-228⟩. ⟨hal-00938573⟩