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IssuesArchive of Issues2020-8pp.1267-1283

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Supel'nyak M.I., "Influence of the Solid Shape on the Solution for the Uncoupled Quasi-Static Cyclic Thermoelasticity Problem in a Thermal Layer (Using Regular Solids as Example)," Mech. Solids. 55 (8), 1267-1283 (2020)
Year 2020 Volume 55 Number 8 Pages 1267-1283
DOI 10.3103/S0025654420080294
Title Influence of the Solid Shape on the Solution for the Uncoupled Quasi-Static Cyclic Thermoelasticity Problem in a Thermal Layer (Using Regular Solids as Example)
Author(s) Supel'nyak M.I. (Bauman Moscow State Technical University, Kaluga Branch,, Kaluga, 248004 Russia, max2901@mail.ru)
Abstract Analytical solutions are obtained for an uncoupled quasi-static cyclic thermoelasticity problem for regular solids: a half-space, a plate, a space with a cylindrical channel, a cylinder, a space with a spherical cavity, and a sphere. The solutions, which are trigonometric Fourier series of temporary variable, are transformed by changing the spatial variable into a form convenient for analysis of temperature oscillations and thermocyclic stresses in the thermal layer. For the solutions found, simple asymptotic dependences are established, suitable for large radii of curvature of the surface and body size. The influence of the solid shape on temperature oscillations and thermocyclic stresses in the thermal layer has been studied.
Keywords thermoelasticity problem, thermocyclic stresses
Received 11 December 2019Revised 26 March 2020Accepted 28 March 2020
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