A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

Timon Rabczuk, Stéphane Bordas, Goangseup Zi

Research output: Contribution to journalArticle

244 Citations (Scopus)

Abstract

This paper proposes a three-dimensional meshfree method for arbitrary crack initiation and propagation that ensures crack path continuity for non-linear material models and cohesive laws. The method is based on a local partition of unity. An extrinsic enrichment of the meshfree shape functions is used with discontinuous and near-front branch functions to close the crack front and improve accuracy. The crack is hereby modeled as a jump in the displacement field. The initiation and propagation of a crack is determined by the loss of hyperbolicity or the loss of material stability criterion. The method is applied to several static, quasi-static and dynamic crack problems. The numerical results very precisely replicate available experimental and analytical results.

Original languageEnglish
Pages (from-to)473-495
Number of pages23
JournalComputational Mechanics
Volume40
Issue number3
DOIs
Publication statusPublished - 2007 Aug 1

Fingerprint

Meshfree Method
Crack Initiation
Crack initiation
Crack
Propagation
Cracks
Three-dimensional
Meshfree
Partition of Unity
Hyperbolicity
Stability criteria
Crack Propagation
Shape Function
Stability Criteria
Crack propagation
Jump
Branch
Numerical Results
Path
Arbitrary

Keywords

  • Cohesive forces
  • Extended element-free Galerkin method (XEFG)
  • Extrinsic partition of unity enrichment
  • Non-linear fracture mechanics
  • Static and dynamic fracture
  • Three-dimensional cracks

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics

Cite this

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. / Rabczuk, Timon; Bordas, Stéphane; Zi, Goangseup.

In: Computational Mechanics, Vol. 40, No. 3, 01.08.2007, p. 473-495.

Research output: Contribution to journalArticle

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