The extended finite element method for dynamic fractures

Goangseup Zi, Hao Chen, Jingxiao Xu, Ted Belytschko

Research output: Contribution to journalArticle

61 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 Apr 25



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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computational Mechanics
  • Acoustics and Ultrasonics

Cite this

Zi, G., Chen, H., Xu, J., & Belytschko, T. (2005). The extended finite element method for dynamic fractures. Shock and Vibration, 12(1 SPEC. ISS.), 9-23.