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 journalArticlepeer-review

73 Citations (Scopus)


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
Issue number8
Publication statusPublished - 2004 Feb 28

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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