Interaction between a rigid cylinder and elastic half space subject to heat generation on the contact area

The axisymmetric contact problem of thermoelasticity was first solved by Borodachev. Examination of the phenomenon of a delay between the plate and bed is critical in examining contact problems of thermoelasticity. As a rule, the heat-conduction equation for the plate is not resolved, and the temperature of the base of the plate or a heat flux is assigned. Consideration of friction-generated heat, which is done, significantly simplifies the statement of the contact problems and their solution