Stability Considerations in Thermoelastic Contact

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

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

J. Dundurs

Department of Civil Engineering, Northwestern University, Evanston, Ill. 60201

M. Comninou

Department of Civil Engineering, The University of Michigan, Ann Arbor, Mich. 48109

J. Appl. Mech 47(4), 871-874 (Dec 01, 1980) (4 pages) doi:10.1115/1.3153805 History: Received February 01, 1980; Online July 21, 2009


A simple one-dimensional model is described in which thermoelastic contact conditions give rise to nonuniqueness of solution. The stability of the various steady-state solutions discovered is investigated using a perturbation method. The results can be expressed in terms of the minimization of a certain energy function, but the authors have so far been unable to justify the use of such a function from first principles in view of the nonconservative nature of the system.

Copyright © 1980 by ASME
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