Dimensional inequalities in chip segments of titanium alloys

A change in segment shape and geometry provides vital information about the strain in the chip segments, plastic deformation and correspondingly a pattern of energy consumption during a machining. These machinability parameters are related with segment dimensions using dimensional inequalities. Dimensional inequalities capture geometrical features of chip segments such as segment width, length of free chip surface, length of uncut segment, shear angle, included angle and their correlation with each other. To validate these inequalities, chip freezing experiments and numerical simulations were performed by changing the initial temperature of work piece from room, to LN2 pre-cooled, to elevated temperature of 260 °C. Measurements of chip segment dimensions both, experimentally and numerically validate the proposed inequalities.