The Elastoplastic Thick-Walled Sphere Subjected to a Radial Temperature Gradient

[+] Author and Article Information
G. R. Cowper

National Aeronautical Establishment, National Research Council, Ottawa, Canada

J. Appl. Mech 27(3), 496-500 (Sep 01, 1960) (5 pages) doi:10.1115/1.3644030 History: Received July 02, 1959; Online September 16, 2011


An exact solution is obtained for the behavior of an ideal elasto plastic hollow sphere which is thermally stressed by a slowly increasing temperature difference between the inner and outer surfaces. An approximate analysis in which elastic strains are neglected is also presented. It is shown that the approximate analysis gives the asymptotic form of the exact solution at infinitely high temperatures.

Copyright © 1960 by ASME
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