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A 3-D dual BEM formulation for the analysis of crack growth. (English) Zbl 0962.74074

Summary: We present a dual BEM formulation for the analysis of crack growth in three dimensions. The technique allows the use of continuous elements in the discretization of crack surfaces. The method involves defining a new interpolation function for continuous elements which incorporate certain continuity conditions arising from the hypersingular nature of the integrals. The crack growth direction is determined using the minimum strain energy criterion, and the crack extension is calculated via the Paris equation. Results on the growth of embedded and edge cracks validate the technique.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74R10 Brittle fracture
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