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Zbl 1075.74703
Rabczuk, T.; Belytschko, T.
Cracking particles: a simplified meshfree method for arbitrary evolving cracks.
(English)
[J] Int. J. Numer. Methods Eng. 61, No. 13, 2316-2343 (2004). ISSN 0029-5981

Summary: A new approach for modelling discrete cracks in meshfree methods is described. In this method, the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed. The crack is modelled by a local enrichment of the test and trial functions with a sign function (a variant of the Heaviside step function), so that the discontinuities are along the direction of the crack. The discontinuity consists of cylindrical planes centred at the particles in three dimensions, lines centred at the particles in two dimensions. The model is applied to several 2D problems and compared to experimental data.
MSC 2000:
*74S30 Other numerical methods
74R10 Brittle fracture

Keywords: meshfree methods; cohesive crack model; dynamic fracture

Cited in: Zbl 1231.74493

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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