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Technical Briefs

Mathematical Modeling of Cutting Forces in Microdrilling

[+] Author and Article Information
Kumar Sambhav

Indian Institute of Technology Kanpur,
Kanpur, Uttar Pradesh, 208016, India
e-mail: ksambhav@outlook.com

Puneet Tandon

Dean, Planning and Development
Professor, Mechanical Engineering Discipline
Professor & Coordinator, Design Discipline
PDPM Indian Institute of Information Technology,
Design & Manufacturing Jabalpur,
Jabalpur, 482 011, India
e-mail: ptandon@iiitdmj.ac.in

Shiv G. Kapoor

Grayce Wicall Gauthier Chair Mechanical
Science and Engineering
Director, Center for Machine Tools Systems Research
4416 Mechanical Engineering Laboratory,
University of Illinois at Urbana Champaign,
1206 West Green Street, MC-244,
Urbana, IL 61801
e-mail: sgkapoor@illinois.edu

Sanjay G. Dhande

Professor
Mechanical Engineering and Computer Science & Engineering,
Indian Institute of Technology Kanpur,
Kanpur, Uttar Pradesh, 208016, India
e-mail: sgd@iitk.ac.in; sgdhande1@gmail.com

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received March 13, 2011; final manuscript received October 10, 2012; published online January 7, 2013. Assoc. Editor: Tony Schmitz.

J. Manuf. Sci. Eng 135(1), 014501 (Jan 07, 2013) (8 pages) Paper No: MANU-12-1082; doi: 10.1115/1.4007955 History: Received March 13, 2011; Revised October 10, 2012

In drilling, the primary and secondary cutting lips of the drill shear the material while the central portion of the chisel edge indents the workpiece, making the cutting process complex to understand. As we go for microdrilling, it exhibits an added complexity to the cutting mechanism as the edge radius gets comparable to chip thickness at low feeds. The presented work models the forces by the primary cutting lip of a microdrill analytically using slip-line field that includes the changes in the effective rake angle and dead metal cap during cutting for cases of shearing as well as ploughing. To study the variation of forces experimentally, the primary cutting lip and chisel edge forces are separated out by drilling through pilot holes of diameter slightly above the drill-web thickness. Finally, the analytical and experimental results are compared and the model is calibrated.

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References

Chyan, H. C., and Ehmann, K. F., 1998, “Development of Curved Helical Micro-Drill Point Technology for Micro-Hole Drilling,” Mechatronics, 8, pp. 337–358. [CrossRef]
Fu, L., Ling, S. F., and Tseng, C. H., 2007, “On-Line Breakage Monitoring of Small Drills With Input Impedance of Driving Motor,” Mech. Syst. Signal Process., 21, pp. 457–465. [CrossRef]
Hinds, B. K., and Treanor, G. M., 2000, “Analysis of Stresses in Micro-Drills Using the Finite Element Method,” Int. J. Mach. Tools Manuf., 40, pp. 1443–1456. [CrossRef]
Vogler, M. P., 2003, “On the Modeling and Analysis of Machining Performance in Micro-End-Milling,” Ph.D. thesis, University of Illinois at Urbana Champaign (UIUC), IL.
Jun, M., 2005, “Modeling and Analysis of Micro-End-Milling Dynamics,” Ph.D. thesis, University of Illinois at Urbana Champaign (UIUC), IL.
Zaman, M. T., Kumar, A. S., Rahman, M., and Sreeram, S., 2006, “A Three-Dimensional Analytical Cutting Force Model for Micro-End-Milling Operation,” Int. J. Mach. Tools Manuf., 46, pp. 353–366. [CrossRef]
Kang, I. S., Kim, J. S., Kim, J. H., Kang, M. C., and Seo, Y. W., 2007, “A Mechanistic Model of Cutting Force in the Micro-End-Milling Process,” J. Mater. Process. Technol., 187–188, pp. 250–255. [CrossRef]
Newby, G., Venkatachalam, S., and Liang, S. Y., 2007, “Empirical Analysis of Cutting Force Constants in Micro-End-Milling Operations,” J. Mater. Process. Technol., 192–193, pp. 41–47. [CrossRef]
Liu, X., Jun, M. B., DeVor, R. E., and Kappor, S. G., 2004, “Cutting Mechanisms and Their Influence on Dynamic Forces, Vibrations and Stability in Micro-End-Milling,” Proceedings ASME International Mechanical Engineering Congress and Exposition, Anaheim, CA, pp. 13–20.
Kim, C. J., Mayor, J. R., and Ni, J., 2004, “A Static Model of Chip Formation in Microscale Milling,” ASME J. Manuf. Sci. Eng., 126(4), pp. 710–718. [CrossRef]
Bao, W. Y., and Tansel, I. N., 2000, “Modeling Micro-End-Milling Operations. Part I: Analytical Cutting Force Model,” Int. J. Mach. Tools Manuf., 40, pp. 2155–2173. [CrossRef]
Demir, E., 2008, “Taylor-Based Model for Micro-Machining of Single Crystal FCC Materials Including Frictional Effects—Application to Micro-Milling Process,” Int. J. Mach. Tools Manuf., 48, pp. 1592–1598. [CrossRef]
Rusnaldy, X., Ko, T. J., and Kim, H. S., 2007, “Micro-End-Milling of Single Crystal Silicon,” Int. J. Mach. Tools Manuf., 47, pp. 2111–2119. [CrossRef]
Ehmann, K. F., Kapoor, S. G., DeVor, R. E., and Lazoglu, I., 1997, “Machining Process Modeling: A Review,” ASME J. Manuf. Sci. Eng., 119(4B), pp. 655–663. [CrossRef]
Merchant, M. E., 1944, “Basic Mechanics of the Metal Cutting Process,” J. Appl. Mech., 11, pp. 168–175.
Waldorf, D. J., DeVor, R. E., and Kapoor, S. G., 1998, “A Slip-Line Field for Ploughing During Orthogonal Cutting,” ASME J. Manuf. Sci. Eng., 120(4), pp. 693–699. [CrossRef]
Fang, N., 2003, “Slip-Line Modeling of Machining With a Rounded-Edge Tool—Part I: New Model and Theory,” J. Mech. Phys. Solids, 51, pp. 715–742. [CrossRef]
Liu, X., 2006, “Cutting Mechanisms in Micro-End-Milling and Their Influence on Surface Generation,” Ph. D. thesis, University of Illinois at Urbana Champaign (UIUC), IL.
Manjunathaiah, J., and Endres, W. J., 2000, “A Study of Apparent Negative Rake Angle and Its Effects on Shear Angle During Orthogonal Cutting With Edge-Radiused Tools,” Trans. NAMRI/SME, 27, pp. 197–202.
Kountanya, R. K., and Endres, W. J., 2001, “A High-Magnification Experimental Study of Orthogonal Cutting With Edge-Honed Tools,” Proceedings of ASME International Mechanical Engineering Congress and Exposition, pp. 157–164.
Sambhav, K., Tandon, P., and Dhande, S. G., 2012, “Geometric Modeling and Validation of Twist Drills With a Generic Point Profile,” Appl. Math. Model., 36, pp. 2384–2403. [CrossRef]
Shaw, M. C., and Oxford, C. J., Jr., 1957, “On the Drilling of Metals -2. The Torque and Thrust in Drilling,” Trans. ASME, 79(1), pp. 139–148.

Figures

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Fig. 1

Minimum chip thickness effect [18] (a)tc < tce,(b)tce ≤ tc < tcmin,(c)tc≥tcmin

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Fig. 2

Effective rake angle concept [19]

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Fig. 3

Dead cap formation below the cutting edge [20]

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Fig. 4

Formation of a prow [4,5]

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Fig. 5

Dead metal cap and raised prow formation in microcutting [16]

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Fig. 6

Primary cutting lips, chisel edge, the indentation zone, and the secondary cutting lips [21]

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Fig. 7

Cutting lip vector

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Fig. 8

Velocity vector at the cutting edge

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Fig. 9

Orthogonal cutting forces resolved along actual cutting and lateral directions

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Fig. 10

Slip line field and hodograph for the case of chip formation [5]

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Fig. 11

Slip line field and hodograph for the case of ploughing without chip formation [5]

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Fig. 12

(a) Experimental setup on Microlution 310 S and (b) force sensor at the load cell

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Fig. 13

SEM images of microdrill of diameter 508 μm

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Fig. 14

A typical thrust profile from microdrilling through pilot holes

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Fig. 15

Comparison of experimental and analytical data

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