4.7 Article

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

Journal

COMPUTERS & STRUCTURES
Volume 88, Issue 23-24, Pages 1391-1411

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2008.08.010

Keywords

Three dimensional crack initiation and growth; Extended element free Galerkin method (XEFG); Extended finite element method (XFEM); Discontinuous enrichment; Cohesive cracks; Fragmentation

Funding

  1. Engineering and Physical Sciences Research Council [EP/G069352/1, EP/G042705/1] Funding Source: researchfish
  2. EPSRC [EP/G042705/1, EP/G069352/1] Funding Source: UKRI

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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 (C) 2008 Elsevier Ltd All rights reserved

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