Stable and Unstable Axisymmetric Solutions for Membranes of Revolution

[+] Author and Article Information
Hubertus J. Weinitschke

Institut für Angewandte Mathematik, Universität Erlangen, Erlangen, Federal Republic of Germany

Appl. Mech. Rev 42(11S), S289-S294 (Nov 01, 1989) doi:10.1115/1.3152402 History: Online June 03, 2009


Axisymmetric boundary value problems in nonlinear elastic membrane theory are studied, with prescribed tensile stresses or radial displacements at the edge(s). The membrane of revolution is subjected to a load parallel to the axis or normal to the deformed surface. Analytical and numerical methods are presented to determine the range of boundary data for which the solutions are tensile and stable in the sense that the principal stresses are nonnegative everywhere in the membrane.

Copyright © 1989 by The American Society of Mechanical Engineers
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