Abstract
We propose a method of solving stationary heat-conduction problems of contacting bodies with coefficient of thermal conductivity that are linear functions of the temperature and the corresponding problems of thermoelasticity based on the method of perturbations. We give a numerical analysis of the thermal stresses in a two-layer tube.
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Literature Cited
H. Carslaw and J. Jaeger,Conduction of Heat in Solids, Clarendon Press, Oxford (1959).
V. A. Lomakin,Theory of Elasticity of Inhomogeneous Bodies [in Russian] Moscow University Press (1976).
Physical Properties of the Steels and Alloys Applied in Energetics: A Handbook, [in Russian], Energiya, Moscow (1967).
V. S. Popovich, “Thermoelasticity of piecewise-homogeneous bodies with plane-parallel interfaces”, Kand. Diss., L'vov (1978).
Nyuko Hiroshi, Takeuchi Yoichiro, and Noda Naotake, “Stationary thermal stresses in a compound hollow sphere made of materials whose properties depend on temperature”, [Russian translation of Japanese original],Trans. Jap., Soc. Mech Eng.,44, No. 381, 1454–1460 (1978).
M. M. Staniŝic and R. M. McKinley, “A note on thermal stresses in hollow cylinders”,Ingr. Archiv.,27, No. 4, 227–241 (1959).
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Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 97–103.
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Popovich, V.S., Fedai, B.N. The axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube. J Math Sci 86, 2605–2610 (1997). https://doi.org/10.1007/BF02356105
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DOI: https://doi.org/10.1007/BF02356105