Calculation of Material Flow in Orthogonal Cutting by Using Streamline Model

Abstract

The streamline method was used to investigate the plastic strain rate in machining. The streamline function presented in this paper is a general equation with three parameters controlling the complex variation of flow line shape. Velocity and deformation field were obtained by streamline analysis. The validation of this model was conducted by comparing with other experimental results published. It shows that the streamline model presented in the paper can be applied to the evaluation of strain rate in machining.

Kinematic Fields Measurement during Orthogonal Cutting Using Digital Images Correlation: A Review

“…Subsequently, the shape of the flow lines was analyzed using the "streamline models" to determine the deformation fields. Based on the work in [34], Bi and List [35,36] used the same technique to investigate the material flow during orthogonal cutting. This method can be applied only to a continuous chip formation [29].…”

“…Microgrid analysis was found difficult to apply in the PSZ due to high distorsion [32], while the streamlines model has been shown to be limited to continuous chip formation [29,35,36]. However, the highly interest in increasing the accuracy of numerical simu-lations of machining has led researchers to develop experimental systems for in-process visualization of the material flow in the cutting zones.…”

“…Image post-processing tools that are used for the displacement fields measurement during machining are divided into two main categories: (i) analytical methods, including both streamlines model [34][35][36] and micro grids analysis [32,33] and (ii) the numerical method using the DIC technique. Each methods requires a specific technique of surface preparation.…”

An An Analysis of Strain Rate Distribution Using Streamline Model and A Quick Stop Device in Metal Cutting

“…The shape of the zone limits the strain rate distribution. The evaluation of the strain rate appears as a crucial problem in metal cutting because it largely controls the material's thermoviscoplastic behavior [1].…”

“…Another method to analyze the flow of material in chip formation is by employing an analytic approach of flow lines to define the strain rate distribution. In this method, the velocity gradient and the strain rate distribution are directly obtained from the mathematical model of the streamline function ψ [1]. In this study, Stream function is employed to experimentally investigate the material flow in orthogonal cutting validates by finite element analysis.…”