Summary
The problem considered is that of the torsion of a semi-infinite elastic cylinder which is embedded in a semi-infinite elastic cylindrical shell of different material. By the use of integral transforms and the theory of dual integral equations, the problem is reduced to the solution of a Fredholm integral equation of the second kind. Numerical solution of the integral equation is obtained and the numerical values of the torque are displayed graphically.
Similar content being viewed by others
References
Reissner, E., Sagoci, H. F.: Forced torsional oscillations of an elastic half-space I. J. Appl. Phys.15, 652–654 (1944).
Sagoci, H. F.: Forced torsional oscillations of an elastic half-space II. J. Appl. Phys.15, 655–662 (1944).
Sneddon, I. N.: Note on a boundary value problem of Reissner and Sagoci. J. Appl. Phys.18, 130–132 (1947).
Sneddon, I. N.: The Reissner-Sagoci problem. Proc. Glasgow Math. Assoc.7, 136–144 (1966).
Freeman, N. J., Keer, L. M.: Torsion of a cylindrical rod welded to an elastic half-space. J. Appl. Mech.34, 687–692 (1967).
Freeman, N. J., Keer, L. M.: Load transfer problem for an embedded shaft in torsion. J. Appl. Mech.37, 959–964 (1970).
Luco, J. E.: Torsion of a rigid cylinder embedded in an elastic halfspace J. Appl. Mech.43, 419–423 (1976).
Singh, B. M., Dhaliwal, R. S.: Torsion of an elastic layer by two circular dies. Int. J. Engng. Sci.15, 171–175 (1977).
Dhaliwal, R. S., Singh, B. M., Sneddon, I. N.: Problem of Reissner-Sagoci type for an elastic cylinder embedded in an elastic half-space. Int. J. Engng. Sci17, 139–144 (1979).
Chebakov, M. I.: Method of homogeneous solutions in the mixed problem for a finite circular cylinder. J. Appl. Math. Mech.43, 1160–1169 (1970).
Gladwell, G. M. L., Lemczyk, T. F.: The static Reissner-Sagoci problem for a finite cylinder: another variation on a theme of I. N. Sneddon. In: Elasticity, mathematical methods and applications (Eason, G., Ogden, R. W., eds.) pp. 113–124 (1989).
Sneddon, I. N.: Fourier transforms. New York: McGraw-Hill 1951.
Erdelyi, A. (ed.): Tables of integral transforms, vol. 1, New York: McGraw-Hill 1954.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
He, W., Dhaliwal, R.S. A problem of Reissner-Sagoci type for a semi-infinite composite elastic cylinder. Acta Mechanica 93, 125–132 (1992). https://doi.org/10.1007/BF01182578
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01182578