A method for multiple crack growth in brittle materials without remeshing

E. ́ Budyn, Goangseup Zi, N. Moës, T. Belytschko

Research output: Contribution to journalArticle

160 Citations (Scopus)

Abstract

A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arbitrary with respect to the mesh and are described by vector level sets. The overall response of the structure is obtained until complete failure. A stability analysis of competitive cracks tips is performed. The method is applied to bodies in plane strain or plane stress and to unit cells with 2-10 growing cracks (although the method does not limit the number of cracks). It is shown to be efficient and accurate for crack coalescence and percolation problems.

Original languageEnglish
Pages (from-to)1741-1770
Number of pages30
JournalInternational Journal for Numerical Methods in Engineering
Volume61
Issue number10
DOIs
Publication statusPublished - 2004 Nov 14
Externally publishedYes

Fingerprint

Brittle Materials
Remeshing
Crack Growth
Brittleness
Crack propagation
Crack
Cracks
Extended Finite Element Method
Plane Stress
Plane Strain
Coalescence
Arbitrary
Crack Tip
Level Set
Crack tips
Stability Analysis
Discontinuity
Mesh
Finite element method
Unit

Keywords

  • Brittle material
  • Coalescence
  • Finite elements
  • Fracture
  • Junction
  • Multiple cracks
  • Percolation
  • Second variation of the energy
  • Stability
  • Unit cells

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Applied Mathematics

Cite this

A method for multiple crack growth in brittle materials without remeshing. / Budyn, E. ́; Zi, Goangseup; Moës, N.; Belytschko, T.

In: International Journal for Numerical Methods in Engineering, Vol. 61, No. 10, 14.11.2004, p. 1741-1770.

Research output: Contribution to journalArticle

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N2 - A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arbitrary with respect to the mesh and are described by vector level sets. The overall response of the structure is obtained until complete failure. A stability analysis of competitive cracks tips is performed. The method is applied to bodies in plane strain or plane stress and to unit cells with 2-10 growing cracks (although the method does not limit the number of cracks). It is shown to be efficient and accurate for crack coalescence and percolation problems.

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