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

Published

March 4, 1998

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)

Pub Type

Conferences

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 October 7, 2025)