Plane contact problem involving heat generation and radiation

The stationary problem of an elastic heat conducting punch sliding over the rigid insulated half-space is investigated. The problem is solved under the assumption that the frictional heating inside the contact region and the heat radiation outside the contact zone are occured. The problem is reduced to a system of two singular integral equations which is solved numerically. The influence of the heat radiation on the contact zone and the temperature distribution in the punch is analyzed.