Universal slip-line model with non-unique solutions for machining with curled chip formation and a restricted contact tool

International Journal of Mechanical Sciences

Volumn 43, Issue 2, 2001, Pages 557-580

  Fang, N ^a   Jawahir, I S ^a   Oxley, P L B ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROSTATIC PRESSURE; INTERFACES (MATERIALS); MATHEMATICAL MODELS; SHEAR STRESS;

SLIP LINE; UNIVERSAL CONTACT TOOLS;

MACHINING;

EID: 0035255893     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(99)00117-4     Document Type: Article

References (29)

1. Oxley P.L.B. The mechanics of machining: an analytical approach to assessing machinability. 1989;Ellis Horwood Limited, Chichester.
2. Lee E.H., Shaffer B.W. The theory of plasticity applied to a problem of machining. Transactions of ASME. 73:1951;405-413.
3. Johnson W. Some slip-line fields for swaging or expanding indenting, extruding and machining for tools with curved dies. International Journal of Mechanical Sciences. 4:1962;323-347.
4. Usui E, Hoshi K. Slip-line fields in metal machining which involve centered fans. Proceedings of International Production Engineering Research Conference, Pittsburgh: ASME, 1963, p. 61-71.
5. Merchant M.E. Basic mechanics of the metal cutting process. Transactions of ASME. 66:1944;A168-A175.
6. Fang N. A study of new-type chip breaking groove geometry of indexable cemented carbide inserts and related CAD technology. PhD thesis, Huazhong University of Science and Technology, P.R. China, June 1994.
7. Johnson W, Mahtab FU. Upper bounds for restricted edge machining: paper I. Proceedings of Sixth Machine Tools Design and Research Conference, 1965. p. 447-62.
8. Venuvinod P.K., Jin W.L. Three-dimensional cutting force analysis based on the low boundary of the shear zone, Part I: single edge oblique cutting. International Journal of Machine Tools and Manufacturing. 36(3):1996;307-323.
9. Shinozuka J., Obikawa T., Shirakashi T. Chip breaking analysis from the viewpoint of the optimum cutting tool geometry design. Journal of Materials Processing Technology. 62:1996;345-351.
10. Dewhurst P. On the non-uniqueness of the machining process. Proceedings of Royal Society of London, Series A. 360:1978;587-610.
11. Hill R. The mechanics of machining: a new approach. Journal of the Mechanics and Physics of Solids. 3:1954;47-53.
12. Kobayashi S., Thomsen E.G. Some observations of the shearing process in metal cutting. Transactions of ASME, Part B. 81:1959;251-262.
13. Eggleston D.M., Herzog R., Thomsen E.G. Observations on the angle relationship in metal cutting. Transactions of ASME, Part B. 81:1959;263-279.
14. Roth R.N. The range of permissible shear angles in orthogonal machining allowing for variable hydrostatics stress on the shear plane and variable friction angles along the rake face. International Journal of Machine Tools and Design Research. 15:1975;161-177.
15. Shi T., Ramalingam S. Modeling chip formation with grooved tools. International Journal of Mechanical Sciences. 35(9):1993;741-756.
16. Shi T., Ramalingam S. Slip-line solution for orthogonal cutting with a chip breaker and flank wear. International Journal of Mechanical Sciences. 33(9):1991;689-744.
17. Shi T. Analytical and experimental investigation of real-time tool condition sensing. PhD thesis, University of Minnesota, USA, 1990.
18. Kudo H. Some new slip-line solutions for two-dimensional steady-state machining. International Journal of Mechanical Sciences. 7:1965;43-55.
19. Dewhurst P. The effect of chip breaker constraints on the mechanics of the machining process. Annals of CIRP. 28(1):1979;1-5.
20. Jawahir IS. An experimental and theoretical study of the effects of tool restricted contact on chip breaking. PhD thesis, The University of New South Wales, Australia, 1986.
21. Liu X.D., Lee L.C., Lam K.Y. A slip-line field model for the determination of chip curl radius. Transactions of ASME, Journal of Engineering for Industry. 117:1995;266-271.
22. Zhang H.T., Liu P.D., Hu R.S. The theoretical calculation of naturally curling radius of chip. International Journal of Machine Tools and Manufacturing. 29(3):1989;323-332.
23. Petryk H. On slip-line field solutions for steady-state and self-similar problems with stress-free boundaries. Archives of Mechanics. 31(6):1979;861-874.
24. Stevenson R., Stephenson D.A. The effect of prior cutting conditions on the shear mechanics of orthogonal machining. Journal of Manufacturing Science and Engineering. 120(2):1998;13-20.
25. Hill R. On the limits set by plastic yielding to the intensity of singularities of stress. Journal of the Mechanics and Physics of Solids. 2:1954;278-285.
26. Dewhurst P., Collins I.F. A matrix technique constructing slip-line field solutions to a class of plane strain plasticity problems. International Journal for Numerical Methods in Engineering. 7:1973;357-378.
27. Green A.P. On the use of hodograph in problems of plane plastic strain. Journal of the Mechanics and Physics of Solids. 2:1954;73-80.
28. Powell MJD. A Fortran subroutine for solving systems of non-linear algebraic equations. In: Rabinpwitz, editor. Numerical methods for nonlinear algebraic equations. London: Gordon and Breach, 1970.
29. Worthington B. The effect of rake face configuration on the curvature of the chip in metal cutting. International Journal of Machine Tool Design and Research. 15:1975;223-239.