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Elastic crack growth in finite elements with minimal remeshing. (English) Zbl 0943.74061
Summary: We present a minimal remeshing finite element method for crack growth. Discontinuous enrichment functions are added to the finite element approximation to account for the presence of crack. This method allows the crack to be arbitrarily aligned within the mesh. For severely curved cracks, remeshing may be needed but only away from the crack tip where remeshing is much easier. Results are presented for a wide range of two-dimensional crack problems, showing excellent accuracy.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
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