The extended finite element method for dynamic fractures

Goangseup Zi, Hao Chen, Jingxiao Xu, Ted Belytschko

Research output: Contribution to journalArticlepeer-review

67 Citations (Scopus)


A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data. This leads to a simple method with clean data structures that can easily be incorporated in general purpose software. Results for a mixed-mode dynamic fracture problem are given to demonstrate the method.

Original languageEnglish
Pages (from-to)9-23
Number of pages15
JournalShock and Vibration
Issue number1 SPEC. ISS.
Publication statusPublished - 2005


  • Dynamic fracture
  • Extended finite element method
  • Growing cracks
  • Level sets

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Condensed Matter Physics
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials
  • Mechanical Engineering


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