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Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications. (English) Zbl 1064.74163

[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.

MSC:

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

Citations:

Zbl 1063.74102
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