Finite Axisymmetric Deformation of Rubber-Like Shells of Revolution

[+] Author and Article Information
W. J. Keppel

National Optical Astronomy Observatories, 950 N. Cherry Avenue, P.O. Box 26732, Tucson, AZ 85726-6732

D. A. DaDeppo

The University of Arizona, Tucson, AZ

J. Appl. Mech 55(2), 332-340 (Jun 01, 1988) (9 pages) doi:10.1115/1.3173679 History: Received June 26, 1986; Revised December 11, 1987; Online July 21, 2009


The finite axisymmetric deformation of a thin shell of revolution is treated in this analysis. The governing differential equations are given for a hyperelastic shell material with the Mooney-Rivlin strain-energy-density function. These equations are solved numerically using a 4th-order Runge-Kutta integration method. A generalized Newton-Raphson iteration procedure is used to systematically improve trial solutions of the differential equations. The governing differential equations are differentiated with respect to a set of generalized coordinates to derive associated rate equations. The rate equations are solved numerically to generate the tangent stiffness matrix which is used to determine the load deformation history of the shell with incremental loading. Numerical examples are presented to illustrate the major characteristics of nonlinear shell behavior.

Copyright © 1988 by ASME
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