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

Timon Rabczuk, Stéphane Bordas, Goangseup Zi

Research output: Contribution to journalArticlepeer-review

318 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1391-1411
Number of pages21
JournalComputers and Structures
Issue number23-24
Publication statusPublished - 2010 Dec

Bibliographical note

Copyright 2011 Elsevier B.V., All rights reserved.


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

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • General Materials Science
  • Mechanical Engineering
  • Computer Science Applications


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