On the Theoretical Determination of the Temperature Field in Orthogonal Machining

SUMMARY The authors review the assumptions and approximations made in previous thermodynamic analyses of machining and propose a numerical method of solution based upon finite difference forms of the differential equations of heat flow. Generalized equations are established for the chip, workpiece and tool as separate entities and these are then combined, via the conditions at the interfaces, into equations valid throughout the system as a whole. A self-determination principle is used to establish the boundary locations and the temperature distribution is found by relaxation methods.