Stability of Thermoelastic Contact for the Aldo Model

[+] Author and Article Information
J. R. Barber

Department of Mechanical Engineering, University of Newcastle-upon-Tyne, Newcastle-upon-Tyne NE1 7RU, England

J. Appl. Mech 48(3), 555-558 (Sep 01, 1981) (4 pages) doi:10.1115/1.3157673 History: Received July 01, 1980; Revised January 01, 1981; Online July 21, 2009


A perturbation method is used to investigate the stability of a simple one-dimensional rod model of thermoelastic contact which exhibits multiple steady-state solutions. A thermal contact resistance is postulated which is a continuous function of the contact pressure or separation. It is found that solutions involving substantial separation and/or contact pressures are always stable, but these are separated by unstable “imperfect contact” solutions in which one of the rods is very lightly loaded or has a very small separation. The results can be expressed in terms of the minimization of a certain energy function.

Copyright © 1981 by ASME
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