Numerical propagation of dynamic cracks using X-FEM

Ionel Nistor (1) , Olivier Pantalé (1) , Serge Caperaa (1)

1 LGP - Laboratoire Génie de Production

This paper presents an application of the eXtended Finite Element Method for numerical modeling of the dynamic cracks propagation. The numerical cracks representation is adapted to the time-dependent mechanical formulation, using the Heaviside step function for completely cutted elements and the cohesive model for crack tips. In order to find the propagation parameters, a crack evolution model is proposed. The numerical implementation is achieved in new explicit FE module. A numerical example is proposed for proving the computational efficiency of this new module.

Mots clés: Partition of unity; Extended finite element method; Dynamic crack propagation; Cohesive model

Domaines: Ingénierie assistée par ordinateur; Génie mécanique [physics.class-ph]

Ionel Nistor, Olivier Pantalé, Serge Caperaa. Numerical propagation of dynamic cracks using X-FEM. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2007, 16 (2), pp.183-198. ⟨10.3166/remn.16.183-198⟩. ⟨hal-03477837⟩