On the basis of the shear model of deformation of thin-walled structural elements, we solve the quasistatic problem of thermoelasticity for a long cylindrical shell with annular distribution of heat sources and heat transfer from the surface. For different values of the ratio of Young’s modulus to the shear modulus of the material of the shell, we study the thermoelastic state of the shell in the asymptotic mode of heating for which the computed quantities attain their maximum values. The numerical analysis is performed. We indicate the possibility of generalizing the results of investigation to the case of finitely many heating rings for various values of their widths and the power of heat sources.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 3, pp. 26–34, July–September, 2015.
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Maksymuk, A.V., Hanulich, N.V. Thermoelasticity of a Cylindrical Shell with Low Shear Stiffness in a Local Temperature Field. J Math Sci 226, 28–40 (2017). https://doi.org/10.1007/s10958-017-3516-z
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DOI: https://doi.org/10.1007/s10958-017-3516-z