Literature Cited
G. M. Bartenev, Strong Inorganic Glass [in Russian], Stroiizdat, Moscow (1974).
G. M. Bartenev and I. V. Razumovskaya, “Theoretical strength and critical stress of solid bodies,” Dokl. Akad. Nauk SSSR,133, No. 2, 341–344 (1960).
A. Erdélyi (ed.), Tables of Integral Transforms (California Institute of Technology H. Bateman Manuscript Project), 2 vols., McGraw-Hill, New York (1954).
N. M. Borodachev, “Thermoelastic problem for an infinite body with an axisymmetric crack,” Prikl. Mekh.,2, No. 2, 91–99 (1966).
G. N. Watson, Theory of Bessel Functions, Cambridge (1922).
É. M. Kartashov, “Thermokinetics of the process of brittle rupture of polymers in mechanical, temperature, and diffusion fields,” Avtoref. Dis.... Fiz.-Mat. Nauk, Leningrad (1982).
A. D. Kovalenko, Fundamentals of Thermoelasticity [in Russian], Naukova Dumka, Kiev (1970).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983).
B. R. Das, “Thermal stresses in a long cylinder containing a penny-shaped crack,” Int. J. Eng. Sci., No. 6, 497–516 (1968).
J. C. Cooke and C. J. Tranter, “Dual Fourier-Bessel series,” Quart. J. Mech. Appl. Math.12, No. 3, 379–386 (1959).
I. N. Sneddon and R. J. Tait, “The effect of a penny-shaped crack in a long circular cylinder,” Int. J. Eng. Sci., No. 1, 391–409 (1963).
Additional information
Taganrog. Teachers Institute and Institute of Precision Chemical Engineering, Moscow. Translated from Prikladnaya Mekhanika, Vol. 25, No. 4, pp. 9–16, April, 1989.
Rights and permissions
About this article
Cite this article
Zhornik, A.I., Kartashov, É.M. Thermal stresses in an infinite cylinder with sources of heat and internal cracks. Soviet Applied Mechanics 25, 324–331 (1989). https://doi.org/10.1007/BF00886672
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00886672