Combined extended and superimposed finite element method for cracks

Sang Ho Lee, Jeong Hoon Song, Young Cheol Yoon, Goangseup Zi, Ted Belytschko

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

A combination of the extended finite element method (XFEM) and the mesh superposition method (s-version FEM) for modelling of stationary and growing cracks is presented. The near-tip field is modelled by superimposed quarter point elements on an overlaid mesh and the rest of the discontinuity is implicitly described by a step function on partition of unity. The two displacement fields are matched through a transition region. The method can robustly deal with stationary crack and crack growth. It simplifies the numerical integration of the weak form in the Galerkin method as compared to the s-version FEM. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed method.

Original languageEnglish
Pages (from-to)1119-1136
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume59
Issue number8
Publication statusPublished - 2004 Feb 28
Externally publishedYes

Fingerprint

Crack
Finite Element Method
Cracks
Finite element method
Mesh
Extended Finite Element Method
Partition of Unity
Step function
Crack Growth
Galerkin methods
Galerkin Method
Numerical integration
Superposition
Crack propagation
Discontinuity
Simplify
Numerical Experiment
Robustness
Modeling
Demonstrate

Keywords

  • Crack
  • Extended finite element
  • Mesh superposition

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

Combined extended and superimposed finite element method for cracks. / Lee, Sang Ho; Song, Jeong Hoon; Yoon, Young Cheol; Zi, Goangseup; Belytschko, Ted.

In: International Journal for Numerical Methods in Engineering, Vol. 59, No. 8, 28.02.2004, p. 1119-1136.

Research output: Contribution to journalArticle

Lee, Sang Ho ; Song, Jeong Hoon ; Yoon, Young Cheol ; Zi, Goangseup ; Belytschko, Ted. / Combined extended and superimposed finite element method for cracks. In: International Journal for Numerical Methods in Engineering. 2004 ; Vol. 59, No. 8. pp. 1119-1136.
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