A Nonlinear Model Study of the Thermal Buckling of Thin Elastic Shells

[+] Author and Article Information
Nicholas J. Hoff

Department of Aeronautics and Astronautics, Stanford University, Stanford, Calif.

J. Appl. Mech 32(1), 71-75 (Mar 01, 1965) (5 pages) doi:10.1115/1.3625786 History: Received December 10, 1963; Online September 15, 2011


Analysis of the simple model proposed yields equilibrium curves in agreement with those obtained by other investigators for axially compressed, thin-walled, circular cylindrical shells. A rigorous calculation of the stability of the equilibrium of the model indicates that the snap-through phenomenon can be entirely absent when an imperfect shell is heated in a perfectly rigid testing machine. When the testing machine is sufficiently elastic, snap through will occur. It may take place at a temperature smaller than, equal-to, or greater than T = εcr /α, where εcr is the theoretical critical strain of the perfect shell and α is the coefficient of expansion of the material of the shell, but the maximum stress produced in the imperfect shell will always be less than εcr E, where E is Young’s modulus of the material.

Copyright © 1965 by ASME
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