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Stability of thermoelastic contact for a rectangular elastic block sliding against a rigid wall

Stability of thermoelastic contact for a rectangular elastic block sliding against a rigid wall
Stability of thermoelastic contact for a rectangular elastic block sliding against a rigid wall
In this note, we determine the stability boundary for the thermoelastic contact of a rectangular elastic block sliding against a rigid wall in the presence of a pressure-dependent thermal contact resistance. This geometry can be seen as intermediate between the idealized ‘Aldo’ rod model and continuum solutions for the elastic half-plane.
The solution is obtained by comparing the expression for the perturbed boundary condition including frictional heating with that for purely static loading, already solved by Yeo and Barber (1995). The critical sliding speed is obtained as a function of the temperature difference imposed between the wall and the free end.
In most cases, frictional heating tends to destabilize the system. However, for certain forms of the resistance-pressure law, the opposite conclusion is reached and the system can be stable for all sliding speeds.
thermal contact resistance, tei, hot spotting
0997-7538
371-376
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Barber, J.R.
af9edfeb-4ab0-4c9a-9974-12f1e993e10b
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Barber, J.R.
af9edfeb-4ab0-4c9a-9974-12f1e993e10b

Ciavarella, M. and Barber, J.R. (2005) Stability of thermoelastic contact for a rectangular elastic block sliding against a rigid wall. European Journal of Mechanics - A/Solids, 24 (3), 371-376. (doi:10.1016/j.euromechsol.2004.10.008).

Record type: Article

Abstract

In this note, we determine the stability boundary for the thermoelastic contact of a rectangular elastic block sliding against a rigid wall in the presence of a pressure-dependent thermal contact resistance. This geometry can be seen as intermediate between the idealized ‘Aldo’ rod model and continuum solutions for the elastic half-plane.
The solution is obtained by comparing the expression for the perturbed boundary condition including frictional heating with that for purely static loading, already solved by Yeo and Barber (1995). The critical sliding speed is obtained as a function of the temperature difference imposed between the wall and the free end.
In most cases, frictional heating tends to destabilize the system. However, for certain forms of the resistance-pressure law, the opposite conclusion is reached and the system can be stable for all sliding speeds.

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Published date: 2005
Keywords: thermal contact resistance, tei, hot spotting

Identifiers

Local EPrints ID: 23264
URI: http://eprints.soton.ac.uk/id/eprint/23264
ISSN: 0997-7538
PURE UUID: 51d826e8-97be-441d-b7e4-486f839350cb

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Date deposited: 15 Mar 2006
Last modified: 15 Mar 2024 06:46

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Contributors

Author: M. Ciavarella
Author: J.R. Barber

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