Relaxation of Thick-Walled Cylinders and Spheres

[+] Author and Article Information
N. S. Ottosen

Engineering Department, Riso̸ National Laboratory, DK-4000 Roskilde, Denmark

J. Appl. Mech 49(3), 487-491 (Sep 01, 1982) (5 pages) doi:10.1115/1.3162486 History: Received August 01, 1981; Revised January 01, 1982; Online July 21, 2009


Using the nonlinear creep law proposed by Soderberg, closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed.

Copyright © 1982 by ASME
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