A three dimensional large deformation meshfree method for arbitrary evolving cracks

Type of content
Journal Article
Thesis discipline
Degree name
Publisher
University of Canterbury. Mechanical Engineering.
Journal Title
Journal ISSN
Volume Title
Language
Date
2007
Authors
Rabczuk, T.
Belytschko, T.
Abstract

A new approach for modelling discrete cracks in meshfree particle methods in three dimensions is described. The cracks can be arbitrarily oriented, but their 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 centered at the particles. The method is formulated for large deformations and arbitrary nonlinear and rate-dependent materials; cohesive laws govern the traction-crack opening relations. To reduce computational cost and since more accuracy around the crack tip is needed to obtain adequate results, h-adaptivity is incorporated in the method. The model is applied to several three-dimensional problems, some of which are compared to experimental data.

Description
Citation
Rabczuk, T., Belytschko, T. (2007) A three dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 196(29-30), pp. 2777-2799.
Keywords
Meshfree methods, Cohesive crack model, Dynamic fracture
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