Modelling of orthogonal cutting with a temperature dependent friction law

Journal of the Mechanics and Physics of Solids

Volumn 46, Issue 10, 1998, Pages 2103-2138

  Moufki, A ^a   Molinari, A ^a   Dudzinski, D ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

Author keywords

A. cutting and forming; B. viscoplastic material; Friction; Thermomechanical processes

Indexed keywords

FRICTION; METAL CUTTING; THERMAL EFFECTS; VISCOPLASTICITY;

FRICTION LAW; ORTHOGONAL CUTTING; THERMOMECHANICAL PROCESS;

MATHEMATICAL MODELS;

EID: 0032180449     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(98)00032-5     Document Type: Article

References (39)

1. Abramowitz, M. and Stegun, I. A. (1964) Handbook of Mathematical Functions. National Bureau of Standards.
2. Bailey, J. A. (1975) Friction in metal machining - Mechanical aspects. Wear 31, 243-275.
3. Boothroyd, G. (1963) Temperatures in orthogonal metal cutting. Proc. Inst. Mech. Eng. 177, 789-802.
4. Buryta, D., Sowerby, R. and Yellowley, I. (1994) Stress distributions on the rake face during orthogonal machining. Int. J. Mach. Tools Manufact. 34, 721-739.
5. Campbell, J. D. and Fergusson, W. G. (1970) The temperature and strain-rate dependence of the shear strength of mild steel. Phil. Mag. 21, 63-81.
6. Clifton, R. J., Duffy, J., Hartley, K. A. and Shawki, T. G. (1984) On critical conditions for shear band formation in high-strain rates. Scripta Mater. 18, 443.
7. Dudzinski, D. and Molinari, A. (1997) A modelling of cutting for viscoplastic materials. Int. J. Mech. Sci. 39(4), 369-389.
8. Earles, S. W. E. and Powell, D. G. (1966-1967) Variations in friction and wear between unlubricated steel surfaces. Proc. IME 181, Part 30, 171-179.
9. Findley, W. N. and Reed, R. M. (1963) The influence of extreme speeds and rake angles in metal cutting. J. Eng. Ind. 49-67.
10. Follansbee, P. S. and Kocks, U. F. (1988) A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable. Acta metall. 36(1), 81-93.
11. Gad, G. S., Armarego, E. J. A. and Smith, A. J. R. (1992) Tool-chip contact length in orthogonal machining and its importance in tool temperature predictions. Int. J. Prod. Res. 30(3), 485-501.
12. Groover, M. P. and Kane, G. E. (1971) A continuing study in the determination of temperatures in metal cutting using remote thermocouples. J. Eng. Ind. 603-908.
13. Kadhim, M. J. and Earles, S. W. E. (1966-1967) Unlubricated sliding at high speeds between copper and steel surfaces. Proc. IME 181, Part 30, 157-162.
14. Kato, S., Yamaguchi, K. and Yamada, M. (1972) Stress distribution at the interface between tool and chip in machining. J. Eng. Ind. 94, 683-688.
15. Klepaczko, J. R. (1994) An experimental technique for shear testing at high and very high strain rates. The case of a mid steel. Int. J. Impact. Engng. 15(1), 25-39.
16. Lim, S. C., Ashby, M. F. and Brunton, J. H. (1989) The effects of sliding conditions on the dry friction of metals. Acta Metall. 37, 767-772.
17. Marusich, T. and Ortiz, M. (1995) Modelling and simulation of high speed machining. Int. J. Numer. Meth. Engng. 38, 3675-3694.
18. Merchant, M. E. (1945) Mechanics of the metal cutting process, I. Orthogonal cutting. J. Appl. Phys. 16, 267-275; II. Plasticity conditions in orthogonal cutting. J. Appl. Phys. 16, 318- 324.
19. Merchant, M. E. (1945) Mechanics of the metal cutting process, I. Orthogonal cutting. J. Appl. Phys. 16, 267-275; II. Plasticity conditions in orthogonal cutting. J. Appl. Phys. 16, 318-324.
20. Molinari, A. and Dudzinski, D. (1992) Stationary shear band in high-speed machining. C. R. Acad. Sci. Paris. 315(II), 399-405.
21. Montgomery, R. S. (1976) Friction and wear at high sliding speeds. Wear 36, 275-298.
22. Oxley, P. L. B. (1989) Mechanics of Machining. Ellis Horwood, Chichester, U.K.
23. Rapier, A. C. (1954) A theoretical investigation of the temperature distribution in the metal cutting process. Brit. J. Appl. Phys. 5, 400-405.
24. Recht, R. F. (1984) A dynamic analysis of high speed machining. In : High Speed Machining, ed. R. Komanduri et al. pp. 83-93. ASME, New York.
25. Schulz, H. (1989) Hoch-geschwindigkeits-fräsen, Metallischer und Nicht Metallischer Werkstoffe. C. Hanser, 17-27.
26. Sekhon, G. S. and Chenot, J. L. (1993) Numerical simulation of continuous chip formation during non steady-state orthogonal cutting. Engng. Comput. 10, 31-48.
27. Shaw, M. C. (1984) Metal Cutting Principles. Oxford Science Publications, Oxford.
28. Strenkowski, J. S. and Caroll, J. T. (1985) A finite element method of orthogonal cutting. J. Engng. Ind. 107, 349-354.
29. Strenkowski, J. S. and Moon, K. J. (1990) Finite element prediction of chip geometry and workpiece temperature distributions in orthogonal metal cutting. J. Engng. Ind. 112, 313-318.
30. Taylor, F. W. (1907) On the art of cutting metals. Trans. ASME 28, 31.
31. Tong, W., Clifton, R. J. and Huang, S. (1992) Pressure-shear impact investigation of strain rate history effects in oxygen-free high-conductivity copper. J. Mech. Phys. Solids 40, 1251-1294.
32. Trent, E. M. (1977) Metal cutting. Butterworths, London.
33. Usui, E., Hirota, A. and Masuko, M. (1978) Analytical prediction of three dimensional cutting process part 1. Basic cutting model an energy approach. J. Eng. Ind. 100, 222-228.
34. Usui, E. and Takeyama, H. (1960) A photoelastic analysis of machining stresses. J. Eng. Ind. 82, 303-308.
35. Williams, K. and Griffen, E. (1964) Friction between unlubricated steel surfaces at sliding speeds up to 750 feet per second. Proc. IME 178, Part 3N, 24-36.
36. Wright, P. K., McCormick, S. P. and Miller, T. R. (1980) Effect of rake face design on cutting tool temperature distributions. J. Eng. Ind. 102, 123-128.
37. Wright, P. K. and Trent, E. M. (1973) Metallographic methods of determining temperature gradients in cutting tools. J. Iron Steel Inst. 211, 364-368.
38. Zorev, N. N. (1963) Interrelationship between shear processes occurring along tool face and on shear plane in metal cutting. International Research in Production Engineering. ASME, New York, 42-49.
39. Zvorykin, K. A. (1893) Proceedings of the Kharko technological Institute, Ukraine.