The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State

Chen Xiao-ming; Yang Nan-sheng; Guan Zhong-xin

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(7): 611-616

Chen Xiao-ming, Yang Nan-sheng, Guan Zhong-xin. The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State[J]. Applied Mathematics and Mechanics, 1987, 8(7): 611-616.

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The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State

Northwestern Polyiechnical University, Xi'an

Received Date: 1986-01-10
Publish Date: 1987-07-15

Abstract

Abstract

The stress and strain singularities of power hardening material for Mode I fracrure are analysed according to the fundamental equations of elastic-plastic mechanics. It is found that the singularities of all stress and strain components do not change in the thick direction, and neither the six stress components nor the six strain components have the same singularity.

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References(4)

References

[1]	Hutchinson,J.W.,Singular behavior at the end of a tensile crack in a hardening material,J.Mech.Phys.Solids,16,1(1968),13-31.
[2]	Rice,J.R.and G.R.Rosengren,Plane strain deformation near a crack tip in a power-law hardening material,J.Mech.Phys.Solids,16,1(1968),1-12.
[3]	Bapu Rao,M.N.,Three-dimensional analysis of a finite thick plate with a thorough crack,Int.J.Fract.,17,1(1981),43-45.
[4]	Bapu Rao,M.N.,Three-dimensional stress problem of a finite thick plate with a thorough crack under tension,Proceedings of ICF6,2(1984),963-969.