Stress distribution at the edge of an equilibrium crack

L. M. Keer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Using the assumptions of G.I. Barenblatt the problem of determining the stresses over the entire surface of an equilibrium crack is formulated as a mixed-mixed boundary value problem in the classical theory of elasticity. Solutions are obtained for a penny-shaped crack in an infinite, elastic medium under conditions of uniform tension parallel to the axis of the crack and uniform shear parallel to the plane of the crack. The analogous two dimensional problem for simple tension is also investigated. The results show that the stress distribution at the edge of the crack depends only slightly upon the applied stresses when compared with the stresses associated with cohesive forces. The distance over which the cohesive forces act is computed in terms of Barenblatt's modulus of cohesion.

Original languageEnglish (US)
Pages (from-to)149-163
Number of pages15
JournalJournal of the Mechanics and Physics of Solids
Volume12
Issue number3
DOIs
StatePublished - Jan 1 1964

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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