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

K. Hayashi

研究成果: Article査読

13 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)163-174
ページ数12
ジャーナルJournal of the Mechanics and Physics of Solids
27
2
DOI
出版ステータスPublished - 1979 4

ASJC Scopus subject areas

  • 凝縮系物理学
  • 材料力学
  • 機械工学

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