An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials

X. J. Fang, Q. D. Yang, B. N. Cox, Z. Q. Zhou

Research output: Contribution to journalArticle

57 Scopus citations

Abstract

We demonstrate that traditional cohesive zone (CZ) elements cannot be accurate when used in conjunction with solid elements with arbitrary intra-element cracking capability, because they cannot capture the load transfer between cohesive interfaces and the solid elements when crack bifurcation or coalescence occurs. An augmented cohesive zone (ACZ) element based on the augmented finite element method formulation is therefore proposed. The new element allows for arbitrary separation of the cohesive element in accordance with the crack configuration of the abutting solid elements, thus correctly maintaining the non-linear coupling between merging or bifurcating cracks. Numerical accuracy and effectiveness of the proposed ACZ element are demonstrated through several examples.

Original languageEnglish (US)
Pages (from-to)841-861
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Volume88
Issue number9
DOIs
StatePublished - Dec 2 2011

Keywords

  • A-FEM
  • Cohesive zone model
  • Composites
  • Crack bifurcation
  • Crack coalescence
  • Nonlinear fracture

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics
  • Numerical Analysis

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