Thermal Stresses in Thick-Walled Circular Cylinders Under Axisymmetric Temperature Distribution

[+] Author and Article Information
K. W. Yang, C. W. Lee

The University of Tennessee, Knoxville, Tenn.

J. Eng. Ind 93(4), 969-975 (Nov 01, 1971) (7 pages) doi:10.1115/1.3428091 History: Received February 04, 1971; Online July 15, 2010


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.

Copyright © 1971 by ASME
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