Combined extended and superimposed finite element method for cracks

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

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61 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

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Keywords

  • Crack
  • Extended finite element
  • Mesh superposition

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

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