An element free Galerkin formulation for stable crack growth in an elastic solid

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Abstract

The discrete formulation for stable crack growth in an elastic solid using the Element Free Galerkin (EFG) method based on the moving least-squares approximations has been established. The EFG method provides the ability to successfully model steep gradients, such as those that exist at a crack tip, through the introduction of an additional distribution of nodal points. In this formulation, the inertia force term in the momentum equation is converted into a spatial gradient term by employing the steady state conditions. A convective domain is employed to account for the analysis domain moving at the same speed as the crack front. A number of stable crack growth problems are examined and comparisons between the numerical predictions and analytical solutions are made for the near-tip fields, the crack opening profiles, as well as the global control parameters such as stress intensity factor K, and energy release rate G.

Original languageEnglish (US)
Pages (from-to)331-343
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume154
Issue number3-4
DOIs
StatePublished - Mar 2 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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