Two-dimensional contact problem with heat release in the process of friction

Abstract

UDC 539.3 1. We consider a flat die of width 2R and height H pressed against an elastic half space by a force P and moved along the surface of this space by a horizontal force F with a constant velocity V (Fig. 1). The process of heat exchange between the die and ambient media runs on the lateral and upper surfaces of the former and obeys the Newton law with heat transfer coefficients Ya and Yn, respectively. The process of convective heat transfer with the media (with a heat transfer coefficient Y0) runs on the unloaded surface of the half space. The thermal contact of the bodies is imperfect [ 1 ]. The action of friction forces leads to the generation of heat flows directed into the interacting bodies. The ambient temperature is equal to zero. Unlike the previous works (see, e.g., [2]), we do not introduce the coefficient of redistribution of heat flows and do not differentiate the boundary conditions for forces.