Crack growth under plane stress conditions in an elastic perfectly-plastic material

J. D. Achenbach*, V. Dunayevsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

Mode-I crack growth under conditions of generalized plane stress has been investigated. It has been assumed that near the plane of the crack in the loading zone, the simple stress components corresponding to a central fan field maintain validity up to the elastic-plastic boundary. By the use of expansions of the particle velocities in the coordinate y, and by matching of the relevant stress components and particle velocities to the dominant terms of appropriate elastic fields at the elastic-plastic boundary, a complete solution has been obtained for εy in the plane of the crack. The solution applies from the propagating crack tip up to the moving elastic-plastic boundary. The strain fields for a self-similar crack nucleating at a point and for steady-state propagation of a crack have been considered as special cases.

Original languageEnglish (US)
Pages (from-to)89-100
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Volume32
Issue number2
DOIs
StatePublished - 1984

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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