Cutouts in Shallow Shells

[+] Author and Article Information
J. Lyell Sanders

Division of Engineering and Applied Physics, Harvard University, Cambridge, Mass.

J. Appl. Mech 37(2), 374-383 (Jun 01, 1970) (10 pages) doi:10.1115/1.3408516 History: Received February 18, 1969; Online April 06, 2010


Integral representations of general solutions to the shallow shell equations are obtained by means of the Betti-Rayleigh principle. With the aid of these integral representations the cutout problem of shallow shells is reduced to a system of four coupled integral equations. The cutout can have an arbitrary shape. Cutouts with reinforced edges and other boundary-value problems for shallow shells can be reduced to integral equations by the method developed in the paper.

Copyright © 1970 by ASME
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