Contact problems involving a cooled punch
نویسنده
چکیده
Certain problems in which a cooled rigid punch indents an elastic half-space have no steady state solution. A simple model is described in which it is shown that this paradox is avoided by the assumption of a thermal resistance varying inversely with contact pressure. A limiting case of this system retains linearity and introduces a state of "imperfect" contact in which contact pressure is negligible but there is significant thermal contact resistance. This approach is generalized to permit the formulation of three dimensional contact problems and one such problem is solved for an axisymmetric geometry. Particular results are given for the identation of a half-space by a cooled rigid sphere.
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