Abstract
We study the problem for a spherical shell weakened by thermally insulated slits. Using the two-dimensional Fourier transform and the elements of the theory of distributions, we obtain the resolvent systems of singular integral equations. We carry out numerical studies of the influence of the geometric parameters of the shell and the slits on the values of the coefficients of intensity of the forces and moments. 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
V. K. Khizhnyak and V. P. Shevchenko,Mixed Problems of the Theory of Plates and Shells [in Russian], Donetsk (1980).
A. S. Gol'tsev and A. V. Lobachev, “The problem of heat conduction for a shell with a system of thermally insulated slits,”Teoret. Prikl. Mekh., No. 25, 86–89 (1995).
A. S. Gol'tsev, “The problem of thermoelasticity for a spherical shell with a thermally insulated slit in the presence of heat transfer,”Teoret. Prikl. Mekh., No. 16, 24–29 (1985).
V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin,Distribution of Stresses near Cracks in Plates and Shells [in Russian], Kiev (1976).
G. S. Kit and M. G. Krivtsun,Planar Problems of Thermoelasticity for Bodies with Cracks [in Russian], Kiev (1983).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 75–81.
Rights and permissions
About this article
Cite this article
Gol'tsev, A.S., Lobachev, A.V. The thermoelastic problem for a spherical shell with slits. J Math Sci 86, 3133–3136 (1997). https://doi.org/10.1007/BF02355711
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355711