The generalized Cattaneo partial slip plane contact problem. I - Theory
The generalized Cattaneo partial slip plane contact problem. I - Theory
The Cattaneo problem is considered for a general plane contact between elastically similar materials, i.e. a monotonically increasing tangential load, starting from zero, with normal loading held fixed. Instead of the classical argument on the displacement field in the stick zone of Cattaneo solution, we attack the problem implicitly from the governing integral equations in the stick zones. After discussing and solving the full-stick case, we move to the more realistic (for finite friction) case of partial slip. We show that, upon isolating the effect of full sliding, the equalities and inequalities governing the corrective solution for the corrective shearing tractions in the stick zone are exactly the same as those governing the solution of the normal contact problem with a lower load, but the same rotation as the actual one. This analogy permits us to deduce several general properties, and gives a general procedures for solving partial slip Cattaneo problems as frictionless normal indentation ones. Therefore, the general solutions for single, multiple and periodic contacts is given. A comprehensive set of explicit results is given in the part II of the paper.
2349-2362
Ciavarella, Michele
3de51b62-4f69-4369-9f4d-a743d6950daa
1998
Ciavarella, Michele
3de51b62-4f69-4369-9f4d-a743d6950daa
Ciavarella, Michele
(1998)
The generalized Cattaneo partial slip plane contact problem. I - Theory.
International Journal of Solids and Structures, 35 (18), .
(doi:10.1016/S0020-7683(97)00154-6).
Abstract
The Cattaneo problem is considered for a general plane contact between elastically similar materials, i.e. a monotonically increasing tangential load, starting from zero, with normal loading held fixed. Instead of the classical argument on the displacement field in the stick zone of Cattaneo solution, we attack the problem implicitly from the governing integral equations in the stick zones. After discussing and solving the full-stick case, we move to the more realistic (for finite friction) case of partial slip. We show that, upon isolating the effect of full sliding, the equalities and inequalities governing the corrective solution for the corrective shearing tractions in the stick zone are exactly the same as those governing the solution of the normal contact problem with a lower load, but the same rotation as the actual one. This analogy permits us to deduce several general properties, and gives a general procedures for solving partial slip Cattaneo problems as frictionless normal indentation ones. Therefore, the general solutions for single, multiple and periodic contacts is given. A comprehensive set of explicit results is given in the part II of the paper.
This record has no associated files available for download.
More information
Published date: 1998
Identifiers
Local EPrints ID: 23235
URI: http://eprints.soton.ac.uk/id/eprint/23235
ISSN: 0020-7683
PURE UUID: 6345e342-8a44-485e-bde9-2aae584ec9e8
Catalogue record
Date deposited: 01 Feb 2007
Last modified: 15 Mar 2024 06:45
Export record
Altmetrics
Contributors
Author:
Michele Ciavarella
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics