Wilde, A. J.; Aliabadi, M. H. A 3-D dual BEM formulation for the analysis of crack growth. (English) Zbl 0962.74074 Comput. Mech. 23, No. 3, 250-257 (1999). 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. Cited in 4 Documents MSC: 74S15 Boundary element methods applied to problems in solid mechanics 74R10 Brittle fracture Keywords:dual boundary element method; hypersingular integrals; crack growth; continuous elements; interpolation function; continuity conditions; crack growth direction; minimum strain energy criterion; Paris equation PDFBibTeX XMLCite \textit{A. J. Wilde} and \textit{M. H. Aliabadi}, Comput. Mech. 23, No. 3, 250--257 (1999; Zbl 0962.74074) Full Text: DOI