Singular Solutions to the Shallow Shell Equations

[+] Author and Article Information
J. Lyell Sanders

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

J. Appl. Mech 37(2), 361-366 (Jun 01, 1970) (6 pages) doi:10.1115/1.3408514 History: Received February 18, 1969; Online April 06, 2010


The paper contains a theoretical investigation of those multivalued singular solutions to the shallow shell equations which correspond physically to concentrated loads and dislocations. Use of the shell equations in complex form permits a unified treatment of the load and dislocation problems. The analysis is limited to the case of shells with a quadratic middle surface, and Fourier transforms of the solutions are obtained. Complete solutions in closed form in the case of a shallow sphere are given in the Appendix, including some results not previously published.

Copyright © 1970 by ASME
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