Planar Hertz Contact With Heat Conduction

[+] Author and Article Information
M. Comninou

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

J. Dundurs

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

J. R. Barber

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

J. Appl. Mech 48(3), 549-554 (Sep 01, 1981) (6 pages) doi:10.1115/1.3157672 History: Received July 01, 1980; Revised January 01, 1981; Online July 21, 2009


The paper discusses the planar Hertz contact problem when the bodies are not only pressed together but also exchange heat by conduction. The nature of the problem and the results depend strongly on the direction of heat flow. If heat flows into the material with the larger distortivity, the common boundary conditions are sufficient to achieve a solution which satisfies the inequalities associated with a contact problem. For heat flowing in the opposite direction, the common boundary conditions by themselves lead to contradictions, but the difficulties can be overcome by introducing a zone of imperfect contact. The formulation is based on a suitable Green’s function, and the problem is reduced to a singular integral equation which must be solved numerically.

Copyright © 1981 by ASME
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