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Numerical propagation of dynamic cracks using X-FEM. (English) Zbl 1208.74160

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
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