We propose a method for the determination of static thermoelastic states of multilayer bodies of canonical shapes with regard for the thermal radiation, convective heat exchange, and arbitrary temperature dependences of the physical and mechanical characteristics of the material under the action of surface and volume heat sources. For the solution of the corresponding heat-conduction and thermoelasticity problems with piecewise constant characteristics, we use the Kirchhoff transformation, Newton iterative method, generalized functions, and Green functions. The results of numerical investigations are presented.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 64, No. 1, pp. 87–106, January–February, 2021.
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Protsiuk, B.V. Determination of the Static Thermoelastic State of Layered Thermosensitive Plate, Cylinder, and Sphere. J Math Sci 274, 678–707 (2023). https://doi.org/10.1007/s10958-023-06630-8
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DOI: https://doi.org/10.1007/s10958-023-06630-8