Huang, R.; Sukumar, N.; Prévost, J.-H. Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications. (English) Zbl 1064.74163 Int. J. Solids Struct. 40, No. 26, 7539-7552 (2003). [For part I see N. Sukumar and J.-H. Prévost, ibid. 40, No. 26, 7513–7537 (2003; Zbl 1063.74102).]The goal of the paper is computational fracture applications in isotropic and layered materials. Accurate stress intensity factor computations were obtained for benchmark problems such as the center-crack and the inclineal crack under uniaxial tension. In addition, arc-shaped cracks under biaxial tension were also studied. The use of the path-independent form of the \(J\)-integral for circular arc-shaped cracks is required to obtain domain independence in the numerical computations. Moreover, the crack driving force for a channel crack in a thin-film structure was also studied. Reviewer: Messoud A. Efendiev (Berlin) Cited in 1 ReviewCited in 25 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74R10 Brittle fracture Keywords:strong discontinuities; partition of unity; bimaterial interface; mud-crack; channel-cracking Citations:Zbl 1063.74102 PDFBibTeX XMLCite \textit{R. Huang} et al., Int. J. Solids Struct. 40, No. 26, 7539--7552 (2003; Zbl 1064.74163) Full Text: DOI