A series solution is obtained for thick-walled cylinders subjected to a temperature distribution which varies both radially and axially. The solution is based on three-dimensional linear theory of thermoelasticity, with appropriate approximations by neglecting small terms and using St. Venant’s principle. The internal and external curved surfaces are assumed traction-free. In each series of the solution the first term is identical to the thin shell theory and the subsequent correcting terms are expressed in increasing powers of the thickness-to-radius ratio. An illustrative example problem is solved by using the present solution, and the numerical results are compared with those based on the thin shell theory.
Thermal Stresses in Thick-Walled Circular Cylinders Under Axisymmetric Temperature Distribution
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Yang, K. W., and Lee, C. W. (November 1, 1971). "Thermal Stresses in Thick-Walled Circular Cylinders Under Axisymmetric Temperature Distribution." ASME. J. Eng. Ind. November 1971; 93(4): 969–975. https://doi.org/10.1115/1.3428091
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