On three-dimensional modelling of crack growth using partition of unity methods

Authors:
Timon Rabczuk;Stéphane Bordas;Goangseup Zi
Affiliations:
Department of Mechanical Engineering, University of Canterbury, New Zealand;University of Glasgow, Civil Engineering Department, Rankine Building, G12 8LT Glasgow, UK;Department of Civil, Environmental and Architectural Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, Republic of Korea
Venue:
Computers and Structures
Year:
2010

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Abstract

This paper reviews different crack tracking techniques in three-dimensions applicable in the context of partition of unity methods, especially meshfree methods. Issues such as describing and tracking the crack surface are addressed. A crack tracking procedure is proposed in detail and implemented in the context of the extended element-free Galerkin method (XEFG). Several three-dimensional cracking examples are compared to other results from the literature or the experimental data and show good agreement.