Stress Concentration in Nonlinear Creep of a Simple Shell

[+] Author and Article Information
C. R. Calladine

University of Cambridge, Cambridge, England

J. Appl. Mech 33(2), 322-326 (Jun 01, 1966) (5 pages) doi:10.1115/1.3625044 History: Received April 21, 1965; Revised July 19, 1965; Online September 15, 2011


A long, thin circular cylindrical shell is loaded at one edge by symmetrical radial shear Qx and bending moment Mx . (No interior pressure.) The shell is made of material which under applied stress creeps with a strain rate which is proportional to the rth power of the stress. Previous results are used to derive, approximately, the greatest stress in the shell for any Qx , Mx , and r. It is shown that for any load the greatest stress decreases as r increases, and is approximately a linear function of 1/r. The case r = 1 is exactly analogous to a linear elastic problem, and the case r → = ∞ corresponds exactly to a perfectly plastic problem. Results for any exponent r may thus be found approximately by simple interpolation between results obtained in linearelastic analysis and perfectly plastic analysis.

Copyright © 1966 by ASME
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