The extended finite element method for dynamic fractures

Goangseup Zi, Hao Chen, Jingxiao Xu, Ted Belytschko

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

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
Volume12
Issue number1 SPEC. ISS.
Publication statusPublished - 2005 Apr 25

Fingerprint

finite element method
Finite element method
data structures
Data structures
unity
partitions
discontinuity
cracks
growth modeling
Cracks
computer programs
crack
software
method

Keywords

  • 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.

The extended finite element method for dynamic fractures. / Zi, Goangseup; Chen, Hao; Xu, Jingxiao; Belytschko, Ted.

In: Shock and Vibration, Vol. 12, No. 1 SPEC. ISS., 25.04.2005, p. 9-23.

Research output: Contribution to journalArticle

Zi, G, Chen, H, Xu, J & Belytschko, T 2005, 'The extended finite element method for dynamic fractures', Shock and Vibration, vol. 12, no. 1 SPEC. ISS., pp. 9-23.
Zi G, Chen H, Xu J, Belytschko T. The extended finite element method for dynamic fractures. Shock and Vibration. 2005 Apr 25;12(1 SPEC. ISS.):9-23.
Zi, Goangseup ; Chen, Hao ; Xu, Jingxiao ; Belytschko, Ted. / The extended finite element method for dynamic fractures. In: Shock and Vibration. 2005 ; Vol. 12, No. 1 SPEC. ISS. pp. 9-23.
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