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

Timon Rabczuk, Stéphane Bordas, Goangseup Zi

Research output: Contribution to journalArticle

213 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1391-1411
Number of pages21
JournalComputers and Structures
Volume88
Issue number23-24
DOIs
Publication statusPublished - 2010 Dec 1

Fingerprint

Partition of Unity Method
Crack Growth
Crack propagation
Cracks
Three-dimensional
Crack
Modeling
Element-free Galerkin Method
Meshfree Method
Surface Crack
Cracking
Galerkin methods
Three-dimension
Experimental Data
Context

Keywords

  • 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

  • Computer Science Applications
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Modelling and Simulation
  • Materials Science(all)

Cite this

On three-dimensional modelling of crack growth using partition of unity methods. / Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup.

In: Computers and Structures, Vol. 88, No. 23-24, 01.12.2010, p. 1391-1411.

Research output: Contribution to journalArticle

Rabczuk, Timon ; Bordas, Stéphane ; Zi, Goangseup. / On three-dimensional modelling of crack growth using partition of unity methods. In: Computers and Structures. 2010 ; Vol. 88, No. 23-24. pp. 1391-1411.
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