Summary
This paper deals with the problem of determining the stress distribution in an elastic layer with a cylindrical cavity when the mixed boundary conditions are prescribed on the curved surface of the cylinder. The problem is simplified to that of finding the solution of dual integral equations arising from the mixed boundary conditions. These dual integral equations are subsequently reduced to a singular integral equation. The solution of this integral equation is obtained numerically, and the quantities of physical interest are calculated.
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References
Sparenberg, J. A.: On a shrink fir problem. Appl. Sci. Res. 7A (1958) 109–120
Spillers, W. A.: A shrink fit problem. J. Math. Physics 43 (1964) 65–71
Yau, W. W. F.; Cakmak, A. S.: The indentation problem of an infinite, hollow, elastic cylinder for an axisymmetric punch of finite length and arbitrary profile. Int. J. Eng. Sci. 4 (1966) 463–481
Lee, D.-S.: Shrink fit of an elastic half-space having a cylindrical cavity. Proc. R. Soc. London/A 448 (1995) 81–88
Vaughan, H.; Allwood, D.: Axisymmetric contanct problem: the constriction of elastic cylinder under axial compression. Proc. Cambridge Philos. Soc. 72 (1972) 499–514
Tranter, C. J.; Craggs, J. W.: The stress distribution in a long circular cylnder when a discontinuous pressure is applied to the curved surface. Phil. Mag. 36 (1945) 241–250
Sneddon, I. N.: Fourier transforms. New York: McGraw-Hill 1951
Liu, Y.; Shen, N.: Contact stress analysis of two unequal-length interface-fit tubes by axisymmetric boundary element method. Int. J. Press. Vessels Piping 48 (1991) 53–63
Orçan, Y.; Gamer, U.: Shrink fit consisting of elastic hollow shaft and nonlinearly hardening elastic-plastic hub. Acta Mech. 81 (1990) 97–108
Filippova, L. M.; Chebakov, M. I.: Contact problem for a prestressed finite cynlinder. Mech Solids 23 (1988) 56–62
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. G.: Tables of integral transforms (Vol I & II). New York: McGraw-Hill 1954
Watson, G. N.: A treatise on the theory of Bessel functions. Cambridge: Cambridge University Press 1944
Green, A. E.; Zerna, G. W.: Theoretical elasticity. Oxford: Oxford University Press 1975
Love, A. E. H.: A treatise on the mathematical theory of elasticity. New York: Dover Publ. 1975
Lee, D.-S.: Axisymmetric constriction of a circular cylinder under uniform axial compression. Q. J. Mech. Appl. Math. 48 (1995) 89–110
Erdogan, F.; Gupta, D.; Cook, D. S.: Numerical solution of singular integral equations. Method of analysis and solution of crack problems, pp. 368–425. Leyden: Noordhoff International Publishing 1973
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Lee, DS. Shrink fit of an elastic layer having a cylindrical cavity. Arch. Appl. Mech. 66, 149–158 (1996). https://doi.org/10.1007/BF00795216
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DOI: https://doi.org/10.1007/BF00795216