The end problem of a finite elastic cylinder pressed against a rough, rigid, sliding surface
The non-axisymmetric problem of a finite, circular, elastic cylinder, one end of which contacts a moving, rigid surface in the presence of Coulomb friction while the opposite end is constrained against in-plane displacements but subjected to a uniform normal displacement, is considered. The governin...
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| Published in | International journal of solids and structures Vol. 19; no. 2; pp. 105 - 119 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1983
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| Online Access | Get full text |
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| Summary: | The non-axisymmetric problem of a finite, circular, elastic cylinder, one end of which contacts a moving, rigid surface in the presence of Coulomb friction while the opposite end is constrained against in-plane displacements but subjected to a uniform normal displacement, is considered. The governing differential equations are converted to an infinite system of singular integral equations with the aid of the Papkovich-Neuber potentials and the subsequent application of multiple Fourier transformations. These are solved numerically and the components of stress and displacement at the ends of the cylinder are determined.
For the frictionless case, the solution is shown to agree closely with known results.
For the frictional case, stresses at the ends of the cylinder are given for two aspect ratios and several friction coefficients. |
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| ISSN: | 0020-7683 1879-2146 |
| DOI: | 10.1016/0020-7683(83)90002-1 |