Finite element simulation of chip flow in metal machining

Abstract Finite element studies of machining are becoming ever more sophisticated. A basic approach which removes the need, in an elastic–plastic analysis, to follow the development of chip formation from initial contact between work and tool, is the iterative convergence method (ICM). It develops a steady-state chip formation from an initial state of a fully formed chip loaded against a tool. It relies for its accuracy on the assumption that its simplified loading path coincides with the real developed flow at the end of the simulation. This paper examines the robustness of this assumption by studying the sensitivity of the simulation to changes of detail, within the ICM method, of how the flow develops; and it compares the simulated results with experiments. The experiment involves the turning of three free cutting steels, for which experimental flow stress variations with strain, strain rate and temperature, as well as information about the friction interaction between chip and tool, are available. The changes to the simulation method considered here are the structure of the finite element mesh, the measures of judging when the flow is fully developed, how the chip separates from the work at the cutting edge and the friction laws used during the approach to fully developed flow. It is shown that these do affect the outcomes of the simulation but within the ranges studied only to a minor extent and good agreement with experiment is achieved.

[1]  J. C. Rice,et al.  On numerically accurate finite element solutions in the fully plastic range , 1990 .

[2]  Kozo Osakada,et al.  Simulation of severe plastic deformation by finite element method with spatially fixed elements , 1983 .

[3]  K. Osakada,et al.  Process Modeling of Orthogonal Cutting by the Rigid-Plastic Finite Element Method , 1984 .

[4]  S. Kato,et al.  Stress Distribution at the Interface Between Tool and Chip in Machining , 1972 .

[5]  W. F. Hastings,et al.  A machining theory for predicting chip geometry, cutting forces etc. from work material properties and cutting conditions , 1980, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  Alain Molinari,et al.  A modelling of cutting for viscoplastic materials , 1997 .

[8]  T. Childs,et al.  Elastic effects in metal cutting chip formation , 1980 .

[9]  K. Maekawa,et al.  Effects of coolant on temperature distribution in metal machining , 1988 .

[10]  Eiji Usui,et al.  Flow stress of low carbon steel at high temperature and strain rate. I: Propriety of incremental strain method in impact compression test with rapid heating and cooling systems , 1983 .

[11]  Ted Belytschko,et al.  Finite Elements, An Introduction , 1982 .

[12]  M. B. Gordon The applicability of the binomial law to the process of friction in the cutting of metals , 1967 .

[13]  Thomas Childs,et al.  Metal Machining: Theory and Applications , 2000 .

[14]  M. E. Merchant Mechanics of the Metal Cutting Process. II. Plasticity Conditions in Orthogonal Cutting , 1945 .

[15]  I. Pillinger,et al.  Finite-Element Plasticity and Metalforming Analysis , 1991 .

[16]  Tom Childs,et al.  Computer-aided simulation and experimental studies of chip flow and tool wear in the turning of low alloy steels by cemented carbide tools , 1990 .

[17]  J. Strenkowski,et al.  A Finite Element Model of Orthogonal Metal Cutting , 1985 .