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Interaction of thermal contact resistsance and frictional heating in thermoelastic instability

Interaction of thermal contact resistsance and frictional heating in thermoelastic instability
Interaction of thermal contact resistsance and frictional heating in thermoelastic instability
Thermoelastic contact problems can posess non-unique and/or unstable steady-state solutions if there is frictional heating or if there is a pressure-dependent thermal contact resistance at the interface. These two effects have been extensively studied in isolation, but their possible interaction has never been investigated. In this paper, we consider an idealized problem in which a thermoelastic rod slides against a rigid plane with both frictional heating and a contact resistance. For sufficiently low sliding speeds, the results are qualitatively similar to those with no sliding. In particular, there is always an odd number of steady-state solutions; if the steady-state is unique it is stable and if it is non-unique, stable and unstable solutions alternate, with the outlying solutions being stable. However, we identify a sliding speed V(0) above which the number of steady states is always even (including zero, implying possible non-existence of a steady-state) and again stable and unstable states alternate. A parallel numerical study shows that for V>V(0) there are some initial conditions from which the contact pressure grows without limit in time, whereas for V<V(0) the system will always tend to one of the stable steady states.
thermoelastic contact, thermoelastic instability (tei), thermal contact resistance, uniqueness
0020-7683
5583-5597
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Johansson, L.
ca0a8adb-a188-4364-9ec5-6414a36cafc7
Afferante, L.
697a1eb8-5555-4d60-986c-a68fffb63488
Klarbring, A.
e6834006-2e67-4966-a409-0e6268f04bd4
Barber, J.R.
af9edfeb-4ab0-4c9a-9974-12f1e993e10b
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Johansson, L.
ca0a8adb-a188-4364-9ec5-6414a36cafc7
Afferante, L.
697a1eb8-5555-4d60-986c-a68fffb63488
Klarbring, A.
e6834006-2e67-4966-a409-0e6268f04bd4
Barber, J.R.
af9edfeb-4ab0-4c9a-9974-12f1e993e10b

Ciavarella, M., Johansson, L., Afferante, L., Klarbring, A. and Barber, J.R. (2003) Interaction of thermal contact resistsance and frictional heating in thermoelastic instability. International Journal of Solids and Structures, 40 (21), 5583-5597. (doi:10.1016/S0020-7683(03)00313-5).

Record type: Article

Abstract

Thermoelastic contact problems can posess non-unique and/or unstable steady-state solutions if there is frictional heating or if there is a pressure-dependent thermal contact resistance at the interface. These two effects have been extensively studied in isolation, but their possible interaction has never been investigated. In this paper, we consider an idealized problem in which a thermoelastic rod slides against a rigid plane with both frictional heating and a contact resistance. For sufficiently low sliding speeds, the results are qualitatively similar to those with no sliding. In particular, there is always an odd number of steady-state solutions; if the steady-state is unique it is stable and if it is non-unique, stable and unstable solutions alternate, with the outlying solutions being stable. However, we identify a sliding speed V(0) above which the number of steady states is always even (including zero, implying possible non-existence of a steady-state) and again stable and unstable states alternate. A parallel numerical study shows that for V>V(0) there are some initial conditions from which the contact pressure grows without limit in time, whereas for V<V(0) the system will always tend to one of the stable steady states.

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More information

Published date: 2003
Keywords: thermoelastic contact, thermoelastic instability (tei), thermal contact resistance, uniqueness

Identifiers

Local EPrints ID: 23221
URI: https://eprints.soton.ac.uk/id/eprint/23221
ISSN: 0020-7683
PURE UUID: 37ffd4d0-d155-4659-bac7-5a065be5b3d2

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Date deposited: 24 Mar 2006
Last modified: 17 Jul 2017 16:18

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Contributors

Author: M. Ciavarella
Author: L. Johansson
Author: L. Afferante
Author: A. Klarbring
Author: J.R. Barber

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