Instability in an Elastic-Plastic Cylindrical Shell Under Axial Compression

[+] Author and Article Information
S. T. Ariaratnam

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada

R. N. Dubey

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada

J. Appl. Mech 36(1), 47-50 (Mar 01, 1969) (4 pages) doi:10.1115/1.3564584 History: Received December 08, 1967; Revised April 22, 1968; Online September 14, 2011


The condition for bifurcation of equilibrium for an elastic-plastic cylindrical shell under axial compression is established. The shape of the yield surface has been left arbitrary; hence the result is applicable to a wide class of inelastic solids. It is shown that the value of the critical stress is quite sensitive to the variation in the unit normal to the local yield surface.

Copyright © 1969 by ASME
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