Tabbara, M. R.; Stone, C. M. A computational method for quasi-static fracture. (English) Zbl 0927.74072 Comput. Mech. 22, No. 2, 203-210 (1998). Summary: We present a direct method for solving quasi-static, mixed-mode fracture problems. The element-free Galerkin method is used in order to allow for crack growth without remeshing. An expression for the normalized critical traction is derived in terms of the fracture resistance (\(R\)-curve) and a crack-dependent function. Sample problems demonstrate the capability of this method to accurately compute the post-peak equilibrium paths for structures with growing cracks. Cited in 2 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74R10 Brittle fracture Keywords:\(R\)-curve; mixed-mode fracture problems; element-free Galerkin method; normalized critical traction; fracture resistance; post-peak equilibrium paths PDFBibTeX XMLCite \textit{M. R. Tabbara} and \textit{C. M. Stone}, Comput. Mech. 22, No. 2, 203--210 (1998; Zbl 0927.74072) Full Text: DOI