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Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications. (English) Zbl 0663.73074
Previous work in modeling dynamic fracture has assumed the crack will propagate along predefined mesh lines (usually a straight line). In this paper we present a finite element model of mixed-mode dynamic crack propagation in which this constraint is removed. Applying linear elasto- dynamic fracture mechanics concepts, discrete cracks are allowed to propagate through the mesh in arbitrary directions. The fracture criteria used for propagation and the algorithms used for remeshing are described in detail. Important features of the implementation are the use of triangular elements with quadratic shape functions, explicit time integration, and interactive computer graphics. These combine to make the approach robust and applicable to a broad range of problems.
Example analyses of straight and curving crack problems are presented. Verification problems include a stationary crack under dynamic loading and a propagating crack in an infinite body. Comparisons with experimental data are made for curving propagation in a cracked plate under biaxial loading.

74R05 Brittle damage
74S05 Finite element methods applied to problems in solid mechanics
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