Admissible Singular Solutions and the Hypercircle Method in Shallow Shell Theory

[+] Author and Article Information
H. Antes

Ruhr-Universität Bochum, Institut für Mechanik II, Universitatsstrasse 150, D-4630 Bochum, Germany

J. Appl. Mech 44(1), 117-122 (Mar 01, 1977) (6 pages) doi:10.1115/1.3423974 History: Received June 01, 1975; Revised March 01, 1976; Online July 12, 2010


The object of this study is the construction of geometrically and statically admissible solutions of the basic shallow shell equations in the case of singular loads, especially for the use in the hypersphere theorems. An iterative procedure extends known solutions of plate theory to the classical and an improved shallow shell theory. The results contain all important terms of the exact solution near the singular point.

Copyright © 1977 by ASME
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