Dislocations by partition of unity

G. Ventura, B. Moran, T. Belytschko*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


A new finite element method for accurately modelling the displacement and stress fields produced by a dislocation is proposed. The methodology is based on a local enrichment of the finite element space by closed form solutions for dislocations in infinite media via local partitions of unity. This allows the treatment of both arbitrary boundary conditions and interfaces between materials. The method can readily be extended to arrays of dislocations, 3D problems, large strains and non-linear constitutive models. Results are given for an edge dislocation in a hollow cylinder and in an infinite medium, for the cases of a glide plane intersecting a rigid obstacle and an interface between two materials.

Original languageEnglish (US)
Pages (from-to)1463-1487
Number of pages25
JournalInternational Journal for Numerical Methods in Engineering
Issue number11
StatePublished - Mar 21 2005
Externally publishedYes


  • Dislocation
  • Partition of unity
  • X-FEM

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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