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The Quarterly Journal of Mechanics and Applied Mathematics 1983 36(3):403-417; doi:10.1093/qjmam/36.3.403
© 1983 by Oxford University Press
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THERMOELASTIC CONTACT PROBLEMS WITH RADIATION BOUNDARY CONDITIONS

G. M. L. GLADWELL and J. R. BARBER

( Solid Mechanics Division, University of Waterloo Waterloo, Ontario, Canada N2L 3G1
Department of Mechanical Engineering and Applied Mechanics, University of Michigan Ann Arbor, Michigan 48109, U.S.A. )

Thermoelastic contact problems are usually analysed with the idealised thermal boundary conditions of perfect conduction or perfect insulation. This paper makes use of some recently derived results for thermal problems of the half-space under radiation boundary conditions to solve two thermoelastic problems for a heated rigid punch identing an elastic half-space. In the first it is supposed that there is a thermal resistance between punch and half-space and the remainder of the boundary is insulated. In the second, the punch is in perfect thermal contact while the remainder of the boundary is partially insulated. Numerical results and graphs are presented for both problems.


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