Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid

Wang Tzu-chiang

Volume 7 Issue 11

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(11): 1051-1060

Wang Tzu-chiang. Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid[J]. Applied Mathematics and Mechanics, 1986, 7(11): 1051-1060.

Citation:

Wang Tzu-chiang. Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid[J]. Applied Mathematics and Mechanics, 1986, 7(11): 1051-1060.

Citation:

Wang Tzu-chiang. Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid[J]. Applied Mathematics and Mechanics, 1986, 7(11): 1051-1060.

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Elastic-Plastic Fields near Crack Tip Growing Step-by-Step in a Perfectly Plastic Solid

Wang Tzu-chiang

Institute of Mechanics, Academia Sinica, Beijing

Received Date: 1985-09-17
Publish Date: 1986-11-15

Abstract

Abstract

In this paper, based on the three-dimensional flow theory of plasticity, the fundametal equations for plane strain problem ofelastic-perfectly plastic solids are presented. By using these equations the elastic-plastic fields near the crack tip growing step-by-step in an elastic incompressible-perfectly plastic solid are analysed.The first order asymptotic solutions for the stress field and velocity fields near the crack tip are obtained. The solutions show the evolution process of elastic unloading domain and the development process of central fan domain and reveal the possibility of the presence of the secondary plastic domain. The second order asymptotic solution for stress field is also presented.

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References(11)

References

[1]	Irwin,G.R.,J.A.M.,24(1957),361-364.
[2]	William,M.L.,J App.Mech.,24(1957),109-114.
[3]	Rice,J.R.,Fracture,Vol.Ⅱ,Chapter 3(1968).
[4]	Cherepanov,G.P.,Mechanics of Brittle Fraciure,Nauka,Moscow(1974).
[5]	Слепя Л.И.,Механuка Теер.Тела,9(1974),57-67.
[6]	Rice,J.R.,W.J.Drugan and T.L.Sham,Fracture Mechanics,ASTM STP700,189-219.
[7]	高玉臣,理想塑性介质中裂纹定常扩展的弹塑性场,力学学报,(1980), 48-56.
[8]	Drugan,W.J.,J.R.Rice and T.L.,Sham,J.Mech.Phys.solids,306(1982),447-473.
[9]	高玉臣(Gao,Y.C).,The influence of compressibility on elastic plastic field of a growing crack,Elastic-plastic Fracture,ASTM-STP 803,176-190.
[10]	王自强,理想塑性体扩展裂纹的平面应变问题,中国科学(待发表)
[11]	黄克智、高玉臣,断裂力学中裂纹尖端奇异场,力学进展,14, 4(1984), 405-414.