A theoretical investigation of the temperature distribution in the metal cutting process

The problem investigated involves consideration of the temperature distribution in a body moving relative to sources of heat. Relaxation and analytical methods of solution have been developed and applied to the work material, the chip and the tool considered as three separate problems. The results obtained have been compared with other analytical solutions and with indirect experimental evidence of the temperatures attained. The application of the methods has been restricted to the simplest ideal model of the cutting process. The methods may be modified to incorporate the effect of temperature on the thermal properties, yield stress, etc., of the work material and are capable of a wider application to analogous heat flow problems.