Reappraisal of the quarter-point quadrilateral element in linear elastic fracture mechanics

Leslie Banks-Sills, Yaacov Bortman

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


The eight noded quarter-point Serendipity quadrilateral isoparametric element is reexamined. The stresses are proven to be square-root singular on all rays in a small region adjacent to the crack tip and, as was previously shown, along the element sides. It is demonstrated that the element strain energy, and hence its stiffness, is bounded. The effect of element size in characterizing the square-root singular behavior is investigated through stress intensity factor calculations in the case of two geometries with crack tip elements of various dimensions. Workers in the field of fracture mechanics may now, without hesitation, employ this element for modeling crack tip singularities in linear elastic material.

Original languageEnglish
Pages (from-to)169-180
Number of pages12
JournalInternational Journal of Fracture
Issue number3
StatePublished - 1 Jul 1984
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Modeling and Simulation
  • Mechanics of Materials


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