Dv. Grylitsky et Vj. Pauk, SOME QUASI-STATIONARY CONTACT PROBLEMS FOR HALF-SPACE INVOLVING HEAT-GENERATION AND RADIATION, International journal of engineering science, 33(12), 1995, pp. 1773-1781
Two quasistationary plane contact problems for a elastic thermally con
ducting half-space and a moving hat-ended or round punch are solved. T
he punch is assumed to be rigid and an insulator. The frictional heati
ng inside the contact region and the heat radiation at the free interf
ace are considered. Each problem is reduced to a system of two singula
r integral equations. The numerical method for their solution is appli
ed. The influence of the radiation on the temperature in the half-spac
e is analyzed.