A meshfree method based on the local partition of unity for cohesive cracks

Timon Rabczuk, Goangseup Zi

Research output: Contribution to journalArticle

250 Citations (Scopus)

Abstract

We will present a meshfree method based on the local partition of unity for cohesive cracks. The cracks are described by a jump in the displacement field for particles whose domain of influence is cut by the crack. Particles with partially cut domain of influence are enriched with branch functions. Crack propagation is governed by the material stability condition. Due to the smoothness and higher order continuity, the method is very accurate which is demonstrated for several quasi static and dynamic crack propagation examples.

Original languageEnglish
Pages (from-to)743-760
Number of pages18
JournalComputational Mechanics
Volume39
Issue number6
DOIs
Publication statusPublished - 2007 May

Keywords

  • Cohesive models
  • Cracks
  • Dynamic fracture
  • Extended element-gree Galerkin method (XEFG)

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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