Nistor, Ionel; Pantalé, Olivier; Caperaa, Serge Numerical propagation of dynamic cracks using X-FEM. (English) Zbl 1208.74160 Rev. Eur. Méc. Numér. 16, No. 2, 183-198 (2007). Summary: 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 cut 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. MSC: 74S05 Finite element methods applied to problems in solid mechanics 74R10 Brittle fracture 74H15 Numerical approximation of solutions of dynamical problems in solid mechanics Keywords:partition of unity; extended finite element method; dynamic crack propagation; cohesive model PDFBibTeX XMLCite \textit{I. Nistor} et al., Rev. Eur. Méc. Numér. 16, No. 2, 183--198 (2007; Zbl 1208.74160) Full Text: DOI Link