Stress Distributions Analyzed in Bispherical Co-Ordinates

[+] Author and Article Information
T. P. Mitchell

Department of Engineering Mechanics, Cornell University, Ithaca, N. Y.

J. A. Weese

U.S.A.F. Academy, Colo.

J. Appl. Mech 27(4), 726-732 (Dec 01, 1960) (7 pages) doi:10.1115/1.3644089 History: Received December 03, 1959; Online September 16, 2011


Boussinesq-Papkovich potentials are used in conjunction with the bispherical co-ordinate system to analyze three problems in the classical theory of linear elasticity: (a) The extension of the Boussinesq point-load problem to that in which the half-space contains a spherical cavity; (b) the determination of the stress distribution in an eccentric spherical shell under uniform internal pressure; (c) the determination of the stress distribution in a half-space containing a uniformly pressurized spherical cavity. Numerical results are presented for representative configurations and load distributions in each case.

Copyright © 1960 by ASME
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