"The general theory of large elastic deformations is applied to the problem of a liquid-filled, axisymmetric membrane which is supported on a rigid horizontal plane and subjected to a variable external pressure. The variable external pressure is caused by submerging the membrane to various depths. The variation of the hydrostatic pressure in the inflating medium as well as in the surrounding environment is considered. By assuming large meridional deformations the stress field and the deformed shapes of a submerged membrane made of a neo-Hookean material are obtained. The effect of the initial shape on the deformed configuration of the membrane is discussed. The depth of submergence corresponding to a deformed shape is calculated inversely by utilizing the Archimedes principle. The governing equations, which are nonlinear ordinary differential - integral type, are solved numerically by the Runge-Kutta integration process using a S/360 Computer Systems Modeling Program. The deformed configuration of the submerged, liquid-filled membrane is ascertained, qualitatively, by performing an experiment with a spherical rubber bladder inflated by glycerine and submerged in water"--Abstract, page ii.
Avula, Xavier J. R.
Oglesby, David B.
Andrews, William A., 1922-2009
Mechanical and Aerospace Engineering
M.S. in Engineering Mechanics
National Science Foundation (U.S.)
University of Missouri--Rolla
xii, 66 pages
© 1972 Walter Earl Wehmeyer, All rights reserved.
Thesis - Open Access
Elasticity -- Computer simulation
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Wehmeyer, Walter Earl, "The analysis of an axially symmetric submerged membrane shell" (1972). Masters Theses. 5048.