The End Problem of Incompressible Elastic Cylinders

[+] Author and Article Information
Yun Ling

Contact Physics Research, Harrisburg, PA 17105-3608

P. A. Engel

Department of Mechanical and Industrial Engineering, State University of New York at Binghamton, Binghamton, NY 13902-6000

J. A. Geer

Department of System Science, State University of New York at Binghamton, Binghamton, NY 13902-6000

J. Appl. Mech 61(1), 30-37 (Mar 01, 1994) (8 pages) doi:10.1115/1.2901417 History: Received August 03, 1992; Revised March 04, 1993; Online March 31, 2008


The end problem of incompressible elastic cylinders is formulated and is solved by an eigenfunction expansion method. Various methods for the determination of the unknown coefficients of the expansion are studied and a variational approach which minimizes the total potential energy is suggested. A transformation is introduced for a better calculation of the stiffness of a cylinder. The Benthem and Minderhoud (1972) expansion is used to describe the interfacial stress distributions. The difficulties of using this expansion for thin cylinders are overcome by utilizing the Cesaro sum (Powell and Shah, 1972). Numerical results for the compression of bonded rubber cylinders are presented and discussed.

Copyright © 1994 by The American Society of Mechanical Engineers
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