The University of Southampton
University of Southampton Institutional Repository

Frictionally-excited thermoelastic contact of rough surfaces

Frictionally-excited thermoelastic contact of rough surfaces
Frictionally-excited thermoelastic contact of rough surfaces
Frictional sliding contact between two elastically similar half-planes, one of which has a sinusoidally wavy surface, is studied in the full-contact regime. The steady-state regime is evaluated, within the limits imposed by the well-known phenomenon of thermo-elastic instability (TEI). TEI gives a critical speed whose value depends on the wavelength of the perturbation, and above which the perturbation itself grows arbitrarily with time. It is found that the TEI critical speed, Vcr, is clearly identified by the steady-state solution only in the special and limiting case when the flat half-plane is non-conductor; in that case, Vcr is the speed for which the steady-state predicts infinite amplification. In all other cases, Vcr (appropriate to the wavelength of the profile) does not correspond to infinite amplification, nor to the maximum one, VM. In the limiting case of thermoelastically similar materials, not only the system is unconditionally stable (Vcr=?) for f H1<0.5, where f is the friction coefficient and H1 a certain thermoelastic constant, but the regime at the maximum amplification is also always stable, and arbitrarily large amplification is obtained for f H1 tending to infinity. However, it is found that in most practical cases of braking systems, Vcrmuch less-thanVM, and so the limiting conditions are reached at Vcr. At this speed, the amplification is typically not extremely high.
tei, thermo-elastic frictional instabilities, rough surfaces, elastic contact problems
0020-7403
1307-1325
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Decuzzi, P.
70ed8d0a-f0f2-4510-a749-4c60dcc0eee8
Monno, G.
2ed35922-2947-46b7-9633-9cfd1c9fbe07
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Decuzzi, P.
70ed8d0a-f0f2-4510-a749-4c60dcc0eee8
Monno, G.
2ed35922-2947-46b7-9633-9cfd1c9fbe07

Ciavarella, M., Decuzzi, P. and Monno, G. (2000) Frictionally-excited thermoelastic contact of rough surfaces. International Journal of Mechanical Sciences, 42 (7), 1307-1325. (doi:10.1016/S0020-7403(99)00051-X).

Record type: Article

Abstract

Frictional sliding contact between two elastically similar half-planes, one of which has a sinusoidally wavy surface, is studied in the full-contact regime. The steady-state regime is evaluated, within the limits imposed by the well-known phenomenon of thermo-elastic instability (TEI). TEI gives a critical speed whose value depends on the wavelength of the perturbation, and above which the perturbation itself grows arbitrarily with time. It is found that the TEI critical speed, Vcr, is clearly identified by the steady-state solution only in the special and limiting case when the flat half-plane is non-conductor; in that case, Vcr is the speed for which the steady-state predicts infinite amplification. In all other cases, Vcr (appropriate to the wavelength of the profile) does not correspond to infinite amplification, nor to the maximum one, VM. In the limiting case of thermoelastically similar materials, not only the system is unconditionally stable (Vcr=?) for f H1<0.5, where f is the friction coefficient and H1 a certain thermoelastic constant, but the regime at the maximum amplification is also always stable, and arbitrarily large amplification is obtained for f H1 tending to infinity. However, it is found that in most practical cases of braking systems, Vcrmuch less-thanVM, and so the limiting conditions are reached at Vcr. At this speed, the amplification is typically not extremely high.

This record has no associated files available for download.

More information

Published date: 2000
Keywords: tei, thermo-elastic frictional instabilities, rough surfaces, elastic contact problems

Identifiers

Local EPrints ID: 21418
URI: http://eprints.soton.ac.uk/id/eprint/21418
ISSN: 0020-7403
PURE UUID: 66440b0b-4dde-49e5-9d2c-6c31ebf1bd49

Catalogue record

Date deposited: 06 Feb 2007
Last modified: 15 Mar 2024 06:30

Export record

Altmetrics

Contributors

Author: M. Ciavarella
Author: P. Decuzzi
Author: G. Monno

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

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×