Abstract
The solution of the axisymmetric elasticity problem for an unparted hyperboloid of revolution is used to obtain the exact analytical solution of the reference problem of the thermally stressed state of an isotropic solid of revolution with finite dimensions and a transverse cross section of complex configuration.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
E. W. Hobson, Theory of Spherical and Ellipsoidal Functions [Russian translation], Moscow (1952).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals of Sums, Series, and Products [in Russian], Moscow (1962).
Yu. N. Podil'chuk, Three-Dimensional Problems of Elasticity and Plasticity Theory, in 6 volumes; Vol. 1: Boundary-Value Problems of the Statistics of Elastic Solids [in Russian], Kiev (1983).
Additional information
Kiev. Moscow. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 3–9, 1990.
Rights and permissions
About this article
Cite this article
Podil'chuk, Y.N., Tkachenko, V.F. & Shevchenko, É.E. Thermally stressed state of solids of revolution with finite dimensions. J Math Sci 68, 627–631 (1994). https://doi.org/10.1007/BF01249393
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01249393