Geodesic
Obtaining exact analytical solutions of the thermoelasticity problem for multilayer cylindrical structures
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 127 (2012) no. 2, pp. 188-191

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This article is told about obtaining exact analytical solutions of the thermoelasticity problem for multilayer construction and also contains its algorithm when elastic properties of each layers were constant. As an example was solver specific problem for double layer hollow cylinder with set load at the inner surface and rigidly fixed at the external surface. Thermal state of each layer was set as a function of spatial variable.
Keywords: thermoelasticity problem, exact analytical solution, multilayer hollow cylinder, thermostressed state. 
V. A. Kudinov; A. V. Eremin; E. V. Kotova. Obtaining exact analytical solutions of the thermoelasticity problem for multilayer cylindrical structures. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 127 (2012) no. 2, pp. 188-191. http://geodesic.mathdoc.fr/item/VSGTU_2012_127_2_a22/
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[2] Kudinov V. A., Kartashov É. M., Stefanyuk E. V., Technical Thermodynamics and Heat Transfer, Yurayt, Moscow, 2011, 550 pp.

[3] Kartashov É. M., Kudinov V. A., Analytical Theory of Heat Conduction and Applied Thermoelasticity, Librokom, Moscow, 2012, 652 pp.

[4] Timoshenko S. P., Goodier J. N., Theory of elasticity, McGraw-Hill, New York, 1969, 567 pp. ; Timoshenko S. P., Guder Dzh., Teoriya uprugosti, Nauka, M., 1979, 569 pp. | MR