This paper deals with the analysis of the stress field on the periphery of a rigid inclusion or a circular void in an elastic half space subjected to rolling contact with frictional heat. The analysis is two-dimensional, the roller and the inclusion (void) are assumed to be parallel cylinders. Rolling contact is simulated as a line load with both normal and shear components, moving with constant velocity over the surface of the half space. A frictional heat input in the contact region is included to incorporate the thermal loading. The complex variable formulation of Muskhelishivili is used to reduce the problem for the inclusion or void to a Fredholm integral equation of the second kind. This integral equation is solved numerically thus enabling the numerical calculation of stress field on the periphery of an inclusion or a void in a half space. The effects of changing the frictional coefficient, slide/roll ratio and the depth of inclusion or void on the results are considered.