TY - JOUR

T1 - Singular behavior at the tip of a crack in an elastic-plastic material with plastic orthotropy

AU - Hayashi, K.

PY - 1979/4

Y1 - 1979/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0018458371&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0018458371&partnerID=8YFLogxK

U2 - 10.1016/0022-5096(79)90017-6

DO - 10.1016/0022-5096(79)90017-6

M3 - Article

AN - SCOPUS:0018458371

VL - 27

SP - 163

EP - 174

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 2

ER -