Improved quarter-point crack tip element

L. J. Gray, A. V. Phan, Glaucio H. Paulino, T. Kaplan

Research output: Contribution to journalArticlepeer-review

75 Scopus citations


We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks.

Original languageEnglish (US)
Pages (from-to)269-283
Number of pages15
JournalEngineering Fracture Mechanics
Issue number2
StatePublished - Jan 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


  • Boundary integral analysis
  • Fracture mechanics
  • Quarter-point element
  • Stress intensity factors


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