Simulation Analysis of Nanocutting on the Surface of Sapphire


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The three-dimensional quasi-steady molecular statics nanocutting model developed by this paper carries out simulation analysis of nanocutting of sapphire substrate in order to explore the effects of tools with the same tip radii of probe and straight-line cutting at different cutting depths, on cutting force. The three-dimensional quasi-steady molecular statics nanocutting sapphire workpiece model first assumes the trajectory of each atom of the sapphire workpiecs being cut whenever the diamond cutter goes forward one step. It then uses the optimization search method to solve the force equilibrium equation of the Morse force in the X, Y and Z directions when each atom moves a small distance, so as to find the new movement position of each atom, and step by step calculates the behavior during cutting. And from the simulation results of cutting force, down force and side force, it is found that under the actions of cutting tools with the same tip radius of probe, cutting force enlarges with the increase of cutting depth. This result is identical to the actual experimental phenomena of nanocutting. From this, it is known that the simulation model developed in this study is reasonable.



Edited by:

Zone-Ching Lin, You-Min Huang, Chao-Chang Arthur Chen and Liang-Kuang Chen




Z. C. Lin and Y. C. Hsu, "Simulation Analysis of Nanocutting on the Surface of Sapphire", Advanced Materials Research, Vol. 579, pp. 184-192, 2012

Online since:

October 2012




[1] J. H. Irving, J. G. Kirkwood, The statistical mechanical theory of transport properties. IV. The equations of hydrodynamics, J. Chem. Phys., 18 (1950) 817-829.

[2] S. Shimada, Molecular Dynamics Analysis as Compared with Experimental Results of Micromachining, Ann. CIRP, 41 (1990) 117-120.

[3] T. H. C. Childs, K. Maekawa, Computer-aided Simulation and Experimental Studies of Chip Flow and Tool Wear in the Turning of Flow Ally Steels by Cemented Carbide Tools, Wear, 139 (1990) 235-250.


[4] J. Belak, I. F. Stowers, A Molecular Dynamics Model of the Orthogonal Cutting Process, Proc. Am. Soc., Precision Eng., 389 (1990) 76-79.

[5] F.Z. Fang, H. Wu, W. X. T. Zhou, X. T. Hu, Modeling and experimental investigation on nanometric cutting of monocrystalline silicon, Journal of Materials Processing Technology, 184 (2007) 407-410.

[6] T. Inamura, N. Takezawa, Cutting Experiments in a Computer Using Atomic Models of a Copper Crystal and a Diamond Tool, Int. J. Japan Soc. Prec. Eng., 25 (1991) 259-266.


[7] T. Inamura, N. Takezawa, Atomic-Scale Cutting in a Computer Using Crystal Models of Copper and Diamond, Annals of the CIRP, 41 (1992) 121-124.


[8] Z. C. Lin, J. C. Huang, A nano-orthogonal Cutting Model Based on a Modified Molecular Dynamics Technique, Nanotechnology, 15 (2004) 510-519.


[9] T. Inamura, N. Takezawa; Y. Kumaki, Mechanics and energy dissipation in nano scale cutting, Annals. CIRP, 42 (1993) 79-82.


[10] M. B. Cai, X. P. Li, M. Rahman, Study of the mechanism of nanoscale ductile mode cutting of silicon using molecular dynamics simulation, International Journal of Machine Tool & Manufacture, (2007) 75-80.


[11] Y. W. Kwon, S. H. Jung, "Atomic model and coupling with continuum model for static equilibrium problem. Computers and Structures, 82 (2004) 1993-(2000).


[12] Y. R. Jeng, C. M. Tan, Study of Nannoidentation Using FEM Atomic Model, Journal of Tribology, 126 (2004) 767-774.

[13] Z. C. Lin, J. R. Ye, Quasi-steady molecular statics model for simulation of nanoscale cutting with different diamond cutter, CMES: Computer Modeling in Engineering & Sciences, 50 (2009) 227-252.

[14] Z. C. Lin, R. Y. Wang, Three Dimensional Nanoscale Abrasive Cutting Simulation and Analysis for Single-Crystal Silicon Workpiece, CMC: Computers, Materials & Continua, 16 (2010) 247-272.

[15] Girifalco, L. A., Weizer, V. G., Application of the Morse Potential Function to Cubic Metals, Phys. Rev., 114, (1959), 3,. 687-690.


[16] D. B. Graves, P. Brault, Molecular dynamics for low temperature plasma–surface interaction studies, Journal of Physics D: Applied Physics, 42 (2008) 194011.


[17] K. Maekawa, A. Itoh, A friction and tool wear in nano-scale machining - A molecular dynamics approach, , Wear, 188 (1995) 115–122.


[18] M. Imafuku, Y. Sasajima, R. Yamamoto, M. Doyama, Computer simulations of the structures of the metallic superlattices Au/Ni and Cu/Ni and their elastic moduli, J. Phys. F: Met. Phys, 16 (1986) 823.


[19] R. Hooke, T. A. Jeeves, Direct search solution of numerical and statistical problem, Journal of the Association for Computing Machinery, 8, (1961) 212-229.