Abstract
Various two-dimensional cutting models, in which the mode of deformation consists of the line of velocity discontinuity, have been developed. By adding the uniform velocity along the cutting edge to hodograph in two-dimensional cutting, the cutting models are extended to represent the chip formation in oblique cutting. Upper bound approach is used for prediction of principal cutting force and chip formation such as chip flow angle and shear angle. The fraction of the cutting force acting on the rake face and on the dead metal is discussed. The cutting models applied to the drilling process in which the cutting velocity changes along the cutting edge. Using a quick-stopping device designed for use in a planer, the cutting action was frozen and the microscopic examination was made.