Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

On the Bifurcation from Continuous to Segmented Chip Formation in Metal Cutting

Published

Author(s)

Timothy J. Burns, Christopher J. Evans, Matthew A. Davies

Abstract

We describe a new approach to modeling chip formation in orthogonal machining. Metal cutting is interpreted as a nonlinear dynamical process with thermomechanical feedback, which is similar in many ways to an open chemical reactor. As the cutting speed is increased, there is a bifurcation from steady-state to periodic oscillatory behavior in the stress and temperature fields in the workpiece material at the tooltip, which explains the observed change from continuous to segmented chip formation. We argue that this change in behavior corresponds to a singular Poincare-Andronov-Hopf bifurcation in the material flow.
Proceedings Title
Proc. of the workshop ?Numerical Methods for Bifurcation Problems
Conference Dates
September 15-17, 1997
Conference Location
Twin Cities, MN, USA
Conference Title
U. of MN (Sept. 15-17)

Keywords

Adiabatic shear bands, Chip Formation, Machining, Manufacturing Processes, Metal cutting

Citation

Burns, T. , Evans, C. and Davies, M. (1998), On the Bifurcation from Continuous to Segmented Chip Formation in Metal Cutting, Proc. of the workshop ?Numerical Methods for Bifurcation Problems, Twin Cities, MN, USA (Accessed June 24, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created March 3, 1998, Updated October 12, 2021