Numerical Simulation and Prediction of Surface Heterogeneity in Diamond Turning of Single-Crystalline Germanium


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This paper deals with the mechanism of surface heterogeneity due to crystallographic anisotropy effects in diamond turning of single-crystalline germanium. A microplasticity-based numerical simulation model was proposed, in which the effects of tool geometry and machining conditions can be involved. Two coefficients were introduced to compensate the Schmid factors of two different types of symmetrical slip systems. Simulation of ductile machinability was conducted on two crystallographic planes (100) and (111), and the simulation results were consistent with the experimental results. It was indicated that the simulation model can be used to predict the brittle-ductile boundary change with machining conditions and crystal orientations of germanium.



Edited by:

Dongming Guo, Tsunemoto Kuriyagawa, Jun Wang and Jun’ichi Tamaki




J. W. Yan et al., "Numerical Simulation and Prediction of Surface Heterogeneity in Diamond Turning of Single-Crystalline Germanium", Key Engineering Materials, Vol. 329, pp. 397-402, 2007

Online since:

January 2007




[1] T. Nakasuji, S. Kodera, S. Hara, H. Matsunaga, N. Ikawa and S. Shimada: Diamond Turning of Brittle Materials for Optical Components, Ann. CIRP, 39, 1 (1990) 89-92.


[2] P. N. Blake and R. O. Scattergood: Ductile Regime Machining of Germanium and Silicon, J. Amer. Ceram. Soc., 73, 4 (1990) 949-957.

[3] J. Yan, K. Maekawa, J. Tamaki and A. Kubo: Experimental Study on the Ultraprecision Ductile Machinability of Single-Crystal Germanium, JSME Int. J., Series C, 47, 1 (2004) 29-36.


[4] D. A. Lucca, P. Chou and R. J. Hocken: Effect of Tool Edge Geometry on the Nanometric Cutting of Ge, Annals of the CIRP, 47, 1(1998) 475-478.


[5] J. Yan, K. Maekawa, J. Tamaki and T. Kuriyagawa: Micro grooving on single-crystal germanium for infrared Fresnel lenses, J. Micromech. Microeng., 15 (2005) 1925-(1931).


[6] T. Shibata, S. Fujii, E. Makino, M. Ikeda: Ductile-Regime Turning Mechanism of Single-Crystal Silicon, Prec. Eng., 18, 2/3 (1996) 129-137.


[7] J. Yan, K. Syoji, T. Kuriyagawa and H. Suzuki: Ductile Regime Turning at Large Tool Feed, J. Mater. Proc. Tech., 121, (2002), 363-372. (a) (100) plane (b) (111) plane Fig. 7 Slip factor distribution when cutting force angle is 30º.