Elasticity Solutions for Thick-Wall Submersible Spheres

[+] Author and Article Information
F. J. Dzialo

University of Massachusetts, Amherst, Mass.

J. Eng. Ind 96(4), 1136-1140 (Nov 01, 1974) (5 pages) doi:10.1115/1.3438487 History: Received July 31, 1973; Online July 15, 2010


Elasticity solutions utilizing the classical Boussinesq potential functions for thick-wall submersible spheres are developed. The solutions provide field stresses and strains, which consider the effect of gravity body forces, and arbitrary boundary loadings. The boundary loadings may be due to a nonuniform hydrostatic pressure, hull equipment, ballast, and can be expressed as an infinite series of Legendre polynomials. A numerical example which considers a nonuniform hydrostatic pressure and an arbitrary counter-buoyancy force applied at the inner boundary is given. Field stresses and strains are presented for various shell thicknesses and hydrostatic pressures.

Copyright © 1974 by ASME
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