非均匀双周期裂纹场的反平面问题

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

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

摘要: 本文从虎克定律与平衡方程出发,利用复变函数映象的理论.将裂纹发生的矩形区域保角变换到ζ平面的上半平面去.再根据H.И.穆斯黑里什维利^[1]的理论,对非均匀双周期裂纹场的反平面问题,我们求得闭合解,并推出了应力强度因子.

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.

[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.