Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment

Stéphane Bordas, Timon Rabczuk, Goangseup Zi

Research output: Contribution to journalArticle

250 Citations (Scopus)

Abstract

This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology is that only an extrinsic discontinuous enrichment and no near-tip enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method.

Original languageEnglish
Pages (from-to)943-960
Number of pages18
JournalEngineering Fracture Mechanics
Volume75
Issue number5
DOIs
Publication statusPublished - 2008 Mar 1

Fingerprint

Crack initiation
Cracks
Lagrange multipliers
Coalescence
Costs

Keywords

  • Cohesive cracks
  • Discontinuous enrichment
  • Dynamic fracture
  • Extended element free Galerkin method (XEFG)
  • High velocity impact
  • Lagrange multipliers
  • Large deformations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment. / Bordas, Stéphane; Rabczuk, Timon; Zi, Goangseup.

In: Engineering Fracture Mechanics, Vol. 75, No. 5, 01.03.2008, p. 943-960.

Research output: Contribution to journalArticle

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