The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field

Hao Tian-hu; Cheng Ji-da; Yu Jia-sheng

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(2): 191-196

Hao Tian-hu, Cheng Ji-da, Yu Jia-sheng. The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field[J]. Applied Mathematics and Mechanics, 1985, 6(2): 191-196.

Citation:

Hao Tian-hu, Cheng Ji-da, Yu Jia-sheng. The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field[J]. Applied Mathematics and Mechanics, 1985, 6(2): 191-196.

Citation:

Hao Tian-hu, Cheng Ji-da, Yu Jia-sheng. The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field[J]. Applied Mathematics and Mechanics, 1985, 6(2): 191-196.

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The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field

1.
East China Institute of Textile Science and Technology, Shanghai;
2.
Beijing College of Civil Engineering, Beijing;
3.
Zhejiang University, Hangzhou

Received Date: 1983-11-12
Publish Date: 1985-02-15

Abstract

Abstract

Originating from Robert Hooke's law and equilibrious equations, and using the theory of the complex variable function, this paper transfers the rectaugle region in which the cracks emerge into upper-half part of ζplane by means of conformal mapping. Then according to the theory of ref.[1]. We find the solution in closed form, there by the stress intensity factors are derived.

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References(9)

References

[1]	Н.И.穆斯黑里什维利,《数学弹性力学的几个基本问题》,赵惠元译,科学出版社(1965).
[2]	Lawn, B. R., and T. R. Wilshaw, Fracture of Brittle Solids, Cambridge University Press. (1975).
[3]	D. I. NAVS. and Lott, Fracture toughness of portland cement concrectes,J.Amer.Conr.Inst..66 (1969),481.
[4]	Shie,J.,Quantum reaction in solids,thesis, Dept. of Materials Science,State University of New York at Stony Brook,(1977).
[5]	Панасюк В.В.et al.,Pacnepeбeieнuе Нanряженuя Окоiо Трещuн б Пласmuнах u Обoioчках,Кивв《Наукова Думаа》,Акад.Наук УССР Физ-Механ.ИН-Т(1976). 443.
[6]	郝天护,双周期裂缝反平面问题的一个闭合解,清华大学学报,19.3 (1979).
[7]	钱伟长、叶开沅,《弹性力学》,科学出版社(1956),165-172.
[8]	Ganesh,Prasad.,An introduction to the theory of elliptic functions and higher transcendentals, University of Calcutta.(1948).
[9]	Wiederhorn,S. M., and H. Johnson, Effect of electrolyte PH on crack propagation in glass J.Am. Ceram.Soc. 56, (1973) 192.