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The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks. (English) Zbl 0953.74078
Summary: We describe a technique for modelling of arbitrary three-dimensional dynamically propagating cracks in elastic bodies by the element free Galerkin method with explicit time integration. 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, and techniques for updating the surface description are reported. The paper concludes with several examples: simulations 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.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
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