Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material

Lin Bai-song

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Lin Bai-song. Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material[J]. Applied Mathematics and Mechanics, 1984, 5(5): 723-730.

Citation:

Lin Bai-song. Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material[J]. Applied Mathematics and Mechanics, 1984, 5(5): 723-730.

Citation:

Lin Bai-song. Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material[J]. Applied Mathematics and Mechanics, 1984, 5(5): 723-730.

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Solutions of the Plane-Strain Problems in a Power Hardening and Incompressible Material

Lin Bai-song

Central-South Institute of Mining and Metallurgy, Changsha

Received Date: 1983-09-09
Publish Date: 1984-10-15

Abstract

Abstract

According to Iliushin's small elastic-plastic deformation theory,in this paper,we derive the basic equations of plane-strain problems in a power hardening and incompressible material.In addition,this paper presents two methods to solvethese basic equations,i.e. the displacement function_stress method and the stress function_strain method. Twoexamples have been calculated to illustrate the application of these two methods.

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References(4)

References

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[2]	Rice,J.R.,et al.,Plane strain deformation near a crack tip in a power-law hardening material,J.Mech.Phys.Solids 16,1(1968),1-12.
[3]	Hutchinson,J.W.,Singularbehaviour at the end of a tensile crack in a hardening material,J.Mech.Phys.Solids,16,1(1968),13-31.
[4]	Hutchinson,J.W.,Plastic stress and strain fields at a crack tip,J.Mech.Phys.Solids,16,5(1968),337-347．