The End Problem of Incompressible Elastic Cylinders

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 t...

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Bibliographic Details
Published in:Journal of applied mechanics 1994-03, Vol.61 (1), p.30-37
Main Authors: Ling, Yun, Engel, P. A, Geer, J. A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary: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.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.2901417