Summary
An orthotropic semi-infinite strip under arbitrary boundary conditions is considered. By means of Fourier transforms, boundary integral relations of special type with moving and motionless singularities of the Cauchy type are obtained. These relations lead to a system of singular integral equations corresponding to the various mixed boundary value problem. The power of singularities at the corner points, stresses and stress intensity factors are calculated for different loads and various material properties.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Vorovich, I. I., Kopasenko, V. V.: Some problems in the theory of elasticity for a semi-infinite strip. Prikl. Mat. Mekh.30, 109–116 (1966).
Gupta, G. D.: An integral equation approach to the semi-infinite strip problem. Trans. ASME, J. Appl. Mech.40, 948–954 (1973).
Body, D. B.: Solution of end problem for a semi-infinite elastic strip. ZAMP26, 749–769 (1975).
Loboda, V. V., Tauchert, T. R.: Stresses in an orthotropic semi-infinite strip due to edge loads. Acta Mech.55, 51–68 (1985).
Lekhnitskii, S. G.: Theory of elasticity of an anisotropic elastic body. San Francisco: Holden-Day 1963
Delate, F., Erdogan, F.: The problem of internal and edge cracks in an orthotropic strip. Trans. ASME, J. Appl. Mech.99, 237–242 (1977).
Muskhelishvili, N. I.: Singular integral equations. Groningen: Noordhoff 1953.
Erdogan, F., Gupta, G. D., Cook, T. S.: Numerical solution of singular integral equations. In: Methods of analysis and solutions of crack problems, pp. 369–425 Leyden: Noordhoff 1973.
Korneichuk, A. A.: Quadratura formulas for singular integrals (in Russian). In: Numerical methods of differential and integral equations solution and quadratura formulas, pp. 64–74 Moscow: Nauka 1964.
Muskhelishvili, N. I.: Some basic problems in the mathematical theory of elasticity. Groningen: Nordhoff 1954.
Loboda, V. V.: The quasi-invariant in the theory of interface cracks. Eng. Fract. Mech.44, 573–580 (1993).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Govorukha, V.B., Loboda, V.V. On the boundary integral equations approach to a semi-infinite strip investigation. Acta Mechanica 128, 105–115 (1998). https://doi.org/10.1007/BF01463162
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01463162