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Three-dimensional thermal-mechanical analytical solutions to the elastic half-space pressed by an inclined rigid cylindrical structure are presented in this article for the first time, based on the recent thermo-elastic general solutions in terms of harmonic functions and potential theory method. The obtained solutions are proved to be closed. The adequate validations are provided by comparing contact displacement and contact pressure on the contact plane from the presented solutions with those without heat effect in literatures. The geometric distribution of temperature on the contact region is also in accordance with that by previous researcher for the composite material under uniform heat flux. In addition, for the purpose of engineering application, a numerical example which is thermal contact problem between an inclined rigid circular displacement restrictor and elastic half-space is given, and the distributions of key field variables and effects of heat flux on contact pressure and normal displacement are discussed in detail.

Three-dimensional thermal-mechanical analytical solutions for the half-space pressed by an inclined rigid cylindrical structure