Summary
The quasi-static thermo-elastic equations are solved for material which is transversely isotropic about the radius vector. The Laplace transform is used to obtain a general solution of the equations in which all quantities are assumed to depend on the radial co-ordinate and the time only. The particular problems of constant temperature suddenly applied to the surfaces of a solid sphere and a spherical cavity in an infinite solid are considered. Numerical results are presented for the second of these problems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Grünberg, G., Z. f. Physik, 35 (1926) 548.
Melan, E., Klasse, Oesterr. Akad. Wiss. Oct. (1955) 13.
Melan, E., Acta Physika Austriaca 10 (1956) 81.
Sternberg, E., Proc. Koninkl. Nederl. Akad. Wet. B60 (1957) 396.
Sternberg, E. and J. G. Chakravorty, Q. Appl. Math. 17 (1959) 205.
Nowinski, J., J. Appl. Mech. 26 (1959) 649.
Love, A. E. H., Mathematical Theory of Elasticity, 3rd Edn., Cambridge University Press, 1920.
Hearmon, R. F. S., Applied Anisotropic Elasticity, Clarendon Press, Oxford, 1961.
Carslaw, H. S. and J. C. Jaeger, Conduction of Heat in Solids, 2nd Edn., Clarendon Press, Oxford, 1959.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Eason, G. Transient thermal stresses in anisotropic bodies with spherical symmetry. Appl. sci. Res. 13, 1–15 (1964). https://doi.org/10.1007/BF00382031
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00382031