RESEARCH PAPERS: Other Technical Papers

Conical Shell Inversion—An Approximate Energy Analysis

[+] Author and Article Information
J. W. Jones

O’Donnell and Associates, Pittsburgh, Pa.

J. G. Wagner

Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, Pa.

J. Eng. Ind 95(1), 172-176 (Feb 01, 1973) (5 pages) doi:10.1115/1.3438094 History: Received April 06, 1972; Online July 15, 2010


The plastic inversion of a simply supported conical shell is considered. The shell is loaded through a rigid central collar. The material is assumed to be elastic-perfectly plastic and to obey the Tresca yield criterion. Upper and lower bound calculations are presented for the collapse load of the inverted configuration. The steady state load-deflection behavior for the large deflection inversion process is determined through a continuous application of the upper bound calculation. Minimization of the upper bound serves not only to determine an accurate characterization of the load-deflection curve but also provides a realistic measure of the bend radius associated with the mode of deformation assumed. Experimental results are presented and compared with the theory.

Copyright © 1973 by ASME
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