Hydrostatic stress and crack opening displacement in three-point bend specimens with shallow cracks

G. Matsoukas, B. Cotterell, Y. W. Mai

Research output: Journal article publicationJournal articleAcademic researchpeer-review

25 Citations (Scopus)

Abstract

A theoretical analysis is given for the slip-line field in a three-point bend specimen containing a sharp short crack. It is shown that the hydrostatic stresses are larger for deeper cracks. These results support the observation that the crack opening displacement at the initiation of a ductile tear is bigger for shallow cracks than deep ones. An analytical relationship for the ratio of plastic crack tip opening to crack mouth opening displacement is also established which is in agreement with experimental replica measurements. Application of the analysis to practical crack opening displacement measurements for shallow cracks is discussed.

Original languageEnglish
Pages (from-to)499-510
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Volume34
Issue number5
DOIs
Publication statusPublished - 1986
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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