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Arbitrary branched and intersecting cracks with the extended finite element method. (English) Zbl 0989.74066
Summary: We preent some extensions of a new technique for the finite element modelling of cracks with multiple branches, multiple holes and cracks emanating from holes. This extended finite element method allows the representation of crack discontinuities and voids independently of the mesh. A standard displacement based approximation is enriched by incorporating discontinuous fields through a partition of unity method. We also develop a methodology that constructs the enriched approximation based on the interaction of discontinuous geometric features with the mesh. Computations of stress intensity factors in different examples involving branched and intersecting cracks as well as cracks emanating from holes demonstrate the accuracy and robustness of the proposed technique.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
74G70 Stress concentrations, singularities in solid mechanics
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