Abstract
Using the Fourier transform method we solve the problem of thermoelasticity for a spherical shell heated by a heat source that is uniformly distributed over the area of an ellipse. We study the influence of the shape of the area over which the heat source is distributed on the values of the temperature field and the components of the stress-strain state of the shell. Three figures. Bibliography: 5 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
L. E. Avramenko and V. P. Shevchenko, “The boundary-value problem of thermoelasticity for a spherical shell under local heating,”Teoret. Prikl. Mekh., No. 25, 80–85 (1995).
A. N. Guz', P. Z. Lugovoi, and N. A. Shul'ga,Conical Shells Weakened by Holes [in Russian], Kiev (1976).
V. P. Shevchenko,Integral Transforms in the Theory of Plates and Shells [in Russian], Course materials, Donetsk (1977).
I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Series, and Products, 5th ed., Academic Press, Boston (1994).
L. E. Avramenko and V. P. Shevchenko, “The stress-strain state of a shell subject to concentrated heat sources,”Teoret. Prikl. Mekh., No. 25, 70–80 (1995).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 69–75.
Rights and permissions
About this article
Cite this article
Avramenko, L.E., Shevchenko, V.P. The stress-strain state of a shell subject to a distributed heat source. J Math Sci 86, 3129–3132 (1997). https://doi.org/10.1007/BF02355710
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355710