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Numerical experiments in revisited brittle fracture. (English) Zbl 0995.74057
Summary: The numerical implementation of a model of brittle fracture developed by G. Francfort and J.-J. Marigo [ibid. 46, No. 8, 1319-1342 (1998; Zbl 0966.74060)] is presented. We examine various computational methods based on variational approximations of the original functional. They are tested on antiplanar and planar examples that are beyond the reach of the classical computational tools of fracture mechanics.

MSC:
74R10Brittle fracture
74S05Finite element methods in solid mechanics
74G65Energy minimization (equilibrium problems in solid mechanics)