A technique for modelling of arbitrary three-dimensional dynamically propagating cracks in elastic bodies by the Element-Free Galerkin (EFG) method with explicit time integration is described. The meshless character of this approach expedites the description of the evolving discrete model; in contrast to the finite element method no remeshing of the domain is required. The crack surface is defined by a set of triangular elements. Techniques for updating the surface description are reported. The paper concludes with several examples: a simulation of mixed-mode growth of a center crack, mode-I surface-breaking penny-shaped crack, penny-shaped crack growing under mixed-mode conditions in a cube, and a bar with centre through crack.
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Krysl et al. (1999) studied this question.
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