Compression of Fluid-Filled Spherical Shells by Rigid Indenters

[+] Author and Article Information
L. A. Taber

Department of Mechanical Engineering, University of Rochester, Rochester, N.Y. 14627

J. Appl. Mech 50(4a), 717-722 (Dec 01, 1983) (6 pages) doi:10.1115/1.3167135 History: Received November 01, 1982; Revised May 01, 1983; Online July 21, 2009


Two variational solutions were studied for large deflection of a fluid-filled hemispherical shell by a rigid cylindrical indenter. One solution is based on shell theory (including bending and stretching energy) and the other on a membrane model (stretching only). To study the transition from bending to membrane action, calculations are compared to load and fluid pressure data from experiments on water-filled rubber shells of various thicknesses. While bending effects dominate deflection as large as 20 percent of the radius for very thick shells (R/t ≥ 10), the results indicate that membrane stress is significant in thinner shells even when the deflection is small.

Copyright © 1983 by ASME
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