Generation of Slip Line Fields Incorporating BUE and Shear Zone to Model Machining Using MATLAB

Abstract

Slip line field theory for modeling of machining process provides an analytical method where unknown slip lines are first generated assuming an initial base slip line and then are later evaluated considering different cutting and boundary conditions. All the slip lines are inter-dependent on each other and the curvature of these slip lines is altered with a slight change in the condition of cutting. This enables an inclusive and robust model to develop which can take into account the curling of the chip, frictional condition at the tool rake face and elastic condition at the upper end of the shear zone. In the current paper, an attempt to construct the slip lines using MATLAB has been presented based on the model given by Fang and Dewhurst and incorporating an additional shear zone into it. This model can detect buildup edge (BUE) of a larger size which influences directly the cutting forces and the curvature of the slip lines. The slip lines generated are studied and the characteristic of these can be observed by altering the input parameter values such as hydrostatic pressure at a fixed location, the rake angle of the tool or the input slip line angular ranges.