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RESEARCH PAPERS

On the Transverse Twisting of Shallow Spherical Ring Caps

[+] Author and Article Information
E. Reissner

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, Calif. 92093

J. Appl. Mech 47(1), 101-105 (Mar 01, 1980) (5 pages) doi:10.1115/1.3153584 History: Received May 01, 1979; Online July 21, 2009

Abstract

The problem of transverse twisting of a shallow spherical shell with a small circular hole is solved, in generalization of the corresponding problem of a flat plate. The solution is of interest as a closed-form solution of an unsymmetrical stress concentration problem, with quantitative features depending on its boundary-layer behavior for large values of a relevant parameter. The problem is also of interest as an example of applicability of a previously proposed asymptotic procedure where interior contributions and edge-zone contributions are determined in sequence rather than simultaneously.

Copyright © 1980 by ASME
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