On the Mechanics of Rectilinear Continuous Cutting With a Single Point Tool

Abstract

Assuming plane shear surfaces and chip tool friction force in the direction of the relative displacement between chip and tool, the direction of chip flow is determined. The condition of minimum energy determines the shear angle. The cutting ratio, the cross section of the chip, and the cutting forces are theoretically predicted. The solution for the case of cutting in a solid prismatic block whose free surface is parallel to the direction of cutting is worked out.