Temperature distribution in workpiece during scratching and grinding

Abstract The heat transfer problem of a moving heat source along the surface of a half space was studied analytically and numerically. For the 2D problem, the heat source was a strip moving source and for the 3D problem, the heat source was a square moving source. Analytical solutions are available only for adiabatic conditions as given by Carslaw and Jaeger [H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solid, second ed.,Clarendon Press, Oxford, 1959, pp. 269–270; H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solid, second ed., Clarendon Press, Oxford, 1959; J.C. Jaeger, J. Proc. R. Soc. N. S. W. 76 (1943) 203–224]. With convection cooling over the surface of the half space, finite element method was used to simulate the transient heat transfer process. It was found that, for the same heat source, the shape of temperature contour over the contact interface was not sensitive to the convection coefficient of the environment. If the heat source emits the same amount of heat per unit distance of travel, both the maximum and the average temperature of the interface increase with the speed of motion of the heat source. On the other hand, the thermal layer thickness defined as the depth at which the temperature is one half of the maximum temperature at the interface decreases with increasing speed of motion of the heat source. For a brass-bonded diamond tool sliding over a glass substrate, the FEA simulation results showed that 2.2% of the friction heat entered the glass substrate for water cooling and 3.4% for air cooling. User subroutine DFLUX was written to simulate the moving heat source in using ABAQUS to solve transient heat transfer problems.