An improved crack analysis technique by element-free Galerkin method with auxiliary supports

Sang Ho Lee, Young Cheol Yoon

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this study, an improved crack analysis technique by element-free Galerkin method (EFGM) with auxiliary supports is proposed. To efficiently model the singularity and the discontinuity of the crack, a singular basis function which varies only on the auxiliary supports is added to enrich the standard EFG approximation and the discontinuous shape function is used in the vicinity of the crack surface. The proposed technique improves the accuracy in the near tip field, by using only an initial node arrangement without any modification until the completion of an analysis. A parametric study, which can guide the analyst on the reasonable choice for the formulation and modelling parameters to be used in the technique, is performed on a relative stress norm error and stress intensity factor. In addition, some numerical examples are analysed to verify the effectiveness of the proposed technique for a crack problem.

Original languageEnglish
Pages (from-to)1291-1314
Number of pages24
JournalInternational Journal for Numerical Methods in Engineering
Volume56
Issue number9
DOIs
Publication statusPublished - 2003 Mar 7

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Element-free Galerkin Method
Galerkin methods
Crack
Cracks
Singular Functions
Discontinuous Functions
Surface Crack
Shape Function
Stress Intensity Factor
Stress intensity factors
Completion
Basis Functions
Discontinuity
Arrangement
Vary
Singularity
Verify
Norm
Numerical Examples
Formulation

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

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An improved crack analysis technique by element-free Galerkin method with auxiliary supports. / Lee, Sang Ho; Yoon, Young Cheol.

In: International Journal for Numerical Methods in Engineering, Vol. 56, No. 9, 07.03.2003, p. 1291-1314.

Research output: Contribution to journalArticle

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