Singular behavior at the tip of a crack in an elastic-plastic material with plastic orthotropy

K. Hayashi

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

The two-dimensional stress field at the tip of a crack in a plastically orthotropic material is analyzed by the total deformation theory of plasticity in conjunction with the J-integral. A model of a plastically orthotropic material is constructed by the use of the theory proposed by R. Hill (1950) and the uniaxial stress-strain relation suggested by W. Ramberg and W.R. Osgood (1943). It is found that the stresses in the vicinity of the crack tip have a singularity of the same order as that in the case of isotropic materials, but their amplitudes are greatly influenced by the plastic orthotropy. Numerical work is carried out for two typical metals, and the effect of the plastic orthotropy is examined for the stress field, the crack opening displacement, the strain energy density, and the shape of the elastic-plastic boundary.

Original languageEnglish
Pages (from-to)163-174
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Volume27
Issue number2
DOIs
Publication statusPublished - 1979 Apr

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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