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 ζ plane by means of conformal mapping. Then according to the theory of ref. [1]. We find the solution in closed form, thereby the stress intensity factors are derived.
Similar content being viewed by others
References
Muskhelishvili, N. I.Some Basic Problem of the Mathematical Theory of Elasticity, Moscow, (1954).
Lawn, B. R., and T. R. Wilshaw,Fracture of Brittle Solids, Cambridge University Press, (1975).
D. I. NAVS. and Lott, Fracture toughness of portland cement concrectes,J. Amer. Conr. Inst.,66 (1969), 481.
Shie, J., Quantum reaction in solids, thesis, Dept. of Materials Science, State University of New York at Stony Brook, (1977).
Panacuk, V. V. et al., The Distribution of Stress Near Cracks in Plates and Shells, Kiev. Naukoyo Dumka, Acad. Sci. U.S.S.R., Phys-Mech. Institute (1976), 443. (in Russian)
Hao Tian-hu, A closed form solution for the antiplane problem of the double period cracks.Journal of Qinghua University,19, 3 (1979). (in Chinese)
Chien Wei-zang et. al.,Theory of Elasticity, Science Press, (1956). (in Chinese)
Ganesh, Prasad., An introduction to the theory of elliptic functions and higher transcendentals, University of Calcutta, (1948).
Wiederhorn, S. M., and H. Johnson, Effect of electrolyte PH on crack propagation in glassJ. Am. Ceram. Soc. 56, (1973) 192.
Author information
Authors and Affiliations
Additional information
Communicated by Chien Wei-zang.
Rights and permissions
About this article
Cite this article
Tian-hu, H., Ji-da, C. & Jia-sheng, Y. The antiplane problem of double period non-uniform distribution crack field. Appl Math Mech 6, 185–191 (1985). https://doi.org/10.1007/BF01874956
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874956