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Incipient sliding of rough surfaces in contact: a multiscale numerical analysis

Incipient sliding of rough surfaces in contact: a multiscale numerical analysis
Incipient sliding of rough surfaces in contact: a multiscale numerical analysis
In this paper, the Cattaneo theory of frictional contact is extended to elastic half-spaces in contact through rough disordered interfaces. The discrete version of the Cattaneo theorem is provided, and represents the basis of a multiscale numerical contact algorithm. Mathematical surfaces with imposed roughness, as well as experimentally digitised ones, are analysed. By means of a numerical method, the evolution of the contact domain, at different resolution, is investigated. Roughness of the interfaces provides lacunarity of the contact domains, whose fractal dimension is always smaller than 2.0. When a tangential force is applied, the extent of the stick area decreases in the same way as the contact area develops with increasing pressure, and the slip area is found to be proportional to the tangential force, as predicted by Cattaneo theory. The evolution of the shear centroid, as well as the amount of dissipated energy up to full-sliding, are provided. Finally, it is shown that, at a sufficient level of discretization, the distribution of contact pressures is multifractal.
0045-7825
6053-6073
Borri-Brunetto, M.
bbeb15c9-e562-49c2-9239-ceef5b373b3f
Chiaia, B.
6693a294-b68d-4646-98aa-e46aab9bc8c2
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Borri-Brunetto, M.
bbeb15c9-e562-49c2-9239-ceef5b373b3f
Chiaia, B.
6693a294-b68d-4646-98aa-e46aab9bc8c2
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5

Borri-Brunetto, M., Chiaia, B. and Ciavarella, M. (2001) Incipient sliding of rough surfaces in contact: a multiscale numerical analysis. Computer Methods in Applied Mechanics and Engineering, 190 (46-47), 6053-6073. (doi:10.1016/S0045-7825(01)00218-3).

Record type: Article

Abstract

In this paper, the Cattaneo theory of frictional contact is extended to elastic half-spaces in contact through rough disordered interfaces. The discrete version of the Cattaneo theorem is provided, and represents the basis of a multiscale numerical contact algorithm. Mathematical surfaces with imposed roughness, as well as experimentally digitised ones, are analysed. By means of a numerical method, the evolution of the contact domain, at different resolution, is investigated. Roughness of the interfaces provides lacunarity of the contact domains, whose fractal dimension is always smaller than 2.0. When a tangential force is applied, the extent of the stick area decreases in the same way as the contact area develops with increasing pressure, and the slip area is found to be proportional to the tangential force, as predicted by Cattaneo theory. The evolution of the shear centroid, as well as the amount of dissipated energy up to full-sliding, are provided. Finally, it is shown that, at a sufficient level of discretization, the distribution of contact pressures is multifractal.

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Published date: 2001

Identifiers

Local EPrints ID: 22364
URI: https://eprints.soton.ac.uk/id/eprint/22364
ISSN: 0045-7825
PURE UUID: 36c40004-3291-4c67-996e-67c0716fdc99

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Date deposited: 23 Mar 2006
Last modified: 14 Aug 2019 17:51

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Author: M. Borri-Brunetto
Author: B. Chiaia
Author: M. Ciavarella

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