Abstract
This paper attempts to solve the periodic crack problems of infinitive anisotropic media for plane skew-symmetric loadings by means of the method of complex function. The problems are now reduced to the determination of two complex functions that must satisfy certain boundary conditions. In this paper, the stresses, the displacements and the boundary conditions are assumed to be periodic, and further, the stresses are assumed to be bounded at infinity. The solutions are expressed in closed forms.
Similar content being viewed by others
References
Muskhelishvili, N. I.,Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff International Publishing, Leyden 3rd English ed. (1974).
Lekhnitshii S. G.,Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, Inc. (1963).
Savin, G. N.,Stress Concentration Around Holes, Pergamon, New York (1961).
Sih G. C. and H., Liebowitz, Mathematical thories of brittle fracture, inFracture, H. Liebowitz, ed., Academic Press, Vol. 2 (1968).
Lu Chien-ke, On fundamental problems elasticity with periodic stresses,Acta Mechanical Sinica, Vol. 7 (1964), 316–327. (in Chinese)
Cai Hai-tao, On the periodic contact problem of plane theory of elasticity,Acta Mathematical Applagatae Sinica, Vol. 2, No. 2 (1979), 181–195 (in Chinese)
Lu Chien-ke, The periodic Riemann boundary problem and its applications to theory of elasticity,Acta Math. Sin. Vol. 13, No. 3 (1963). (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Chou Huan-wen
Rights and permissions
About this article
Cite this article
Hai-tao, C. The periodic cracks of an infinite anisotropic media for plane skew-symmetric loadings. Appl Math Mech 7, 153–159 (1986). https://doi.org/10.1007/BF01897058
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01897058