On the Effect of Transverse Shear Deformability on Stress Concentration Factors for Twisted and Sheared Shallow Spherical Shells

[+] Author and Article Information
E. Reissner

Department of Applied Mechanics & Engineering Science, University of California, San Diego, La Jolla, CA 92093

F. Y. M. Wan

Department of Applied Mathematics, University of Washington, Seattle, WA 98195

J. Appl. Mech 53(3), 597-601 (Sep 01, 1986) (5 pages) doi:10.1115/1.3171817 History: Received August 27, 1985; Online July 21, 2009


Explicit solutions are obtained, in terms of modified Bessel functions, for the problems of transverse twisting and of tangential shearing of transversely shear-deformable shallow spherical shells with a small circular hole. The relevant stress concentration factors are calculated for the entire range of a rise-to-thickness ratio parameter and a transverse shear deformability parameter. The modification of known results obtained previously by shear deformable plate theory, and by shallow shell theory without consideration of transverse shear deformation effects, is delineated.

Copyright © 1986 by ASME
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