Modeling of the minimum cutting thickness in micro cutting with consideration of the friction around the cutting zone

Abstract

Friction modeling between the tool and the workpiece plays an important role in predicting the minimum cutting thickness during TC4 micro machining and finite element method (FEM) cutting simulation. In this study, a new three-region friction modeling is proposed to illustrate the material flow mechanism around the friction zone in micro cutting; estimate the stress distributions on the rake, edge, and clearance faces of the tool; and predict the stagnation point location and the minimum cutting thickness. The friction modeling is established by determining the distribution of normal and shear stress. Then, it is applied to calculate the stagnation point location on the edge face and predict the minimum cutting thickness. The stagnation point and the minimum cutting thickness are also observed and illustrated in the FEM simulation. Micro cutting experiments are conducted to validate the accuracy of the friction and the minimum cutting thickness modeling. Comparison results show that the proposed friction model illustrates the relationship between the normal and sheer stress on the tool surface, thereby validating the modeling method of the minimum cutting thickness in micro cutting.

Keywords

tool friction / minimum cutting thickness / finite element method / tool edge radius / micro cutting

References

[1] Son S M, Lim H S, Ahn J H. Effects of the friction coefficient on the minimum cutting thickness in micro cutting. International Journal of Machine Tools and Manufacture, 2005, 45(4–5): 529–535

[2] Coelho R T, Diniz A E, da Silva T M. An experimental method to determine the minimum uncut chip thickness in orthogonal cutting. Procedia Manufacturing, 2017, 10: 194–207

[3] Dib M H M, Duduch J G, Jasinevicius R G. Minimum chip thickness determination by means of cutting force signal in micro endmilling. Precision Engineering, 2018, 51: 244–262

[4] Agmell M, Johansson D, Laakso S V A, et al. The influence the uncut chip thickness has on the stagnation point in orthogonal cutting. Procedia CIRP, 2017, 58: 13–18

[5] Atlati S, Moufki A, Nouari M, et al. Interaction between the local tribological conditions at the tool-chip interface and the thermomechanical process in the primary shear zone when dry machining the aluminum alloy. Tribology International, 2017, 105: 326–333

[6] Ee K C, Dillon O W Jr, Jawahir I S. Finite element modeling of residual stresses in machining induced by cutting using a tool with finite edge radius. International Journal of Mechanical Sciences, 2005, 47(10): 1611–1628

[7] Amontons G. Resistance caused in machines. Journal of Japanese Society of Tribologists, 1999, 44: 236–241 (in French)

[8] Zorev N N. Interrelationship between shear processes occurring along tool face and on shear plane in metal cutting. In: Proceedings of the International Production Engineering Research Conference. Pittsburg, 1963

[9] Shaw M C. Contact problems in cutting and grinding. In: Attia M H, Komanduri R, eds. PED-Vol. 67=Trib-Vol.4, Contact Problems and Surface Interaction in Manufacturing and Tribological Systems. New York: ASME, 1993, 143–149

[10] Moufki A, Molinari A, Dudzinski D. Modeling of orthogonal cutting with a temperature dependent friction law. Journal of the Mechanics and Physics of Solids, 1998, 46(10): 2103–2138

[11] Wallace P W, Boothroyd G. Tool forces and tool-chip friction in orthogonal machining. Journal of Mechanical Engineering Science, 1964, 6(1): 74–87

[12] Strenkowski J S, Moon K J. Finite element prediction of chip geometry and tool/workpiece temperature distributions in orthogonal metal cutting. Journal of Engineering for Industry, 1990, 112(4): 313–318

[13] Lin Z C, Lo S P. Ultra-precision orthogonal cutting simulation for oxygen-free high-conductivity copper. Journal of Materials Processing Technology, 1997, 65(1–3): 281–291

[14] Liu C R, Guo Y B. Finite element analysis of the effect of sequential cuts and tool-chip friction on residual stresses in a machined layer. International Journal of Mechanical Sciences, 2000, 42(6): 1069–1086

[15] Zhang B, Bagchi A. Finite element simulation of chip formation and comparison with machining experiment. Journal of Engineering for Industry, 1994, 116(3): 289–297

[16] Yang X, Liu C R. A new stress-based model of friction behavior in machining and its significant impact on residual stresses computed by finite element method. International Journal of Mechanical Sciences, 2002, 44(4): 703–723

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