The University of Southampton
University of Southampton Institutional Repository

The thermoelastic Aldo contact model with frictional heating

Afferante, L. and Ciavarella, M. (2004) The thermoelastic Aldo contact model with frictional heating Journal of the Mechanics and Physics of Solids, 52, (3), pp. 617-640. (doi:10.1016/S0022-5096(03)00116-9).

Record type: Article

Abstract

In the study of the essential features of thermoelastic contact, Comninou and Dundurs (J. Therm. Stresses 3 (1980) 427) devised a simplified model, the so-called "Aldo model", where the full 3D body is replaced by a large number of thin rods normal to the interface and insulated between each other, and the system was further reduced to 2 rods by Barber's Conjecture (ASME J. Appl. Mech. 48 (1981) 555). They studied in particular the case of heat flux at the interface driven by temperature differences of the bodies, and opposed by a contact resistance, finding possible multiple and history dependent solutions, depending on the imposed temperature differences.
The Aldo model is here extended to include the presence of frictional heating. It is found that the number of solutions of the problem is still always odd, and Barber's graphical construction and the stability analysis of the previous case with no frictional heating can be extended. For any given imposed temperature difference, a critical speed is found for which the uniform pressure solution becomes non-unique and/or unstable. For one direction of the temperature difference, the uniform pressure solution is non-unique before it becomes unstable. When multiple solutions occur, outermost solutions (those involving only one rod in contact) are always stable.
A full numerical analysis has been performed to explore the transient behaviour of the system, in the case of two rods of different size. In the general case of N rods, Barber's conjecture is shown to hold since there can only be two stable states for all the rods, and the reduction to two rods is always possible, a posteriori.

PDF Affe_04.pdf - Accepted Manuscript
Download (2MB)

More information

Published date: 2004
Keywords: Thermoelastic instability (TEI), Constriction resistance, Thermoelastic contact, Friction

Identifiers

Local EPrints ID: 23265
URI: http://eprints.soton.ac.uk/id/eprint/23265
ISSN: 0022-5096
PURE UUID: 199bda43-674f-4e05-a492-bfedfede295d

Catalogue record

Date deposited: 21 Mar 2006
Last modified: 17 Jul 2017 16:18

Export record

Altmetrics

Contributors

Author: L. Afferante
Author: M. Ciavarella

University divisions

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.

×