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Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic-plastic media. (English) Zbl 1194.74465
Summary: This paper develops two aspects improving crack propagation modelling with the X-FEM method. On the one hand, it explains how one can use at the same time a regular structured mesh for a precise and efficient level set update and an unstructured irregular one for the mechanical model. On the other hand, a new numerical scheme based on the X-FEM method is proposed for dynamic elastic-plastic situations. The simulation results are compared with two experiments on PMMA for which crack speed and crack path are provided.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R20 Anelastic fracture and damage
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
Software:
Cast3M
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