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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(1):1-13; doi:10.1093/qjmam/29.1.1
© 1976 by Oxford University Press
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SOME THERMOELASTIC CONTACT PROBLEMS INVOLVING FRICTIONAL HEATING

J. R. BARBER

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

Solutions are obtained for some steady-state thermoelastic contact problems in which heat is generated due to friction at the interface between two semi-infinite solids. It is assumed that only one of the solids is a thermal conductor and that the shear tractions at the interface do not influence the normal tractions.

A general solution is obtained in terms of a single harmonic potential function which tends to zero on the surface outside the contact area, whilst inside this area a linear combination of the function and its normal derivative is prescribed. Approximate solutions are obtained for the particular cases in which the contact area is a circle or a strip and the surface of one of the contacting solids is spherical, cylindrical or plane.


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