Effect of cutting edge radius on micro end milling: force analysis, surface roughness, and chip formation

  • K. Vipindas
  • K. N. Anand
  • Jose Mathew


Producing miniaturized components from a wide variety of engineering materials is one of the most important fields of interest in manufacturing industry. Micro end milling is considered to be one of the efficient methods to produce complex 3D micro components. In micro machining, undeformed chip thickness is comparable to the tool edge radius, which introduces a critical undeformed chip thickness. Below the regime of critical undeformed chip thickness material is not removed but plowed. Ti-6Al-4V is one of the most popular titanium alloy because of its superior properties such as resistance to heavy loads, corrosion resistance, lightness, and bio-compatibility. This paper investigates micro end milling characteristics of the Ti-6Al-4V titanium alloy through a series of cutting experiments. Here the size effect in micro end milling was observed by studying the effect of the cutting edge radius on process performance. In order to understand the effect of the cutting edge radius on machining performance, range of feed per tooth was selected in such a way that it includes both within and outside the size effect region. This paper explores how cutting edge radius affects the cutting force, coefficient of friction, surface roughness, and chip formation during the micro end milling process. A size effect region was obtained from the variation of cutting force with feed per tooth. It was found that feed per tooth in the vicinity of 1-μm range is critical feed per tooth value, which is approximately one third of the cutting edge radius. Below this value, the cutting edge radius effect is predominant which would result in more ploughing mechanism. This was evident from the deviation of cutting force from the linear trend, increase in coefficient of friction, and surface roughness value at lower feed per tooth. In addition, a cutting force model was proposed considering the cutting edge radius effect and has been validated with experimental results.


Micro end milling Cutting force Coefficient of friction Surface roughness Chip geometry 


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Authors would like to sincerely thank the Department of Science and Technology (DST), Govt. of India and Centre for Precision Measurements and Nanomechanical Testing, Department of Mechanical Engineering, National Institute of Technology Calicut, for providing support to carry out this work under the scheme “Fund for Improvement of Science and Technology” (No. SR/FST/ETI-388/2015). Also, authors sincerely thank Dr. Basil Kuriachen, Assistant Professor, Mechanical Engineering Department, NIT MIZORAM, for his contribution during initial stages of this study.


  1. 1.
    Jin X, Altintas Y (2012) Prediction of micro-milling forces with finite element method. J Mater Process Technol 212:542–552CrossRefGoogle Scholar
  2. 2.
    Zaman MT, Kumar AS, Rahman M, Sreeram S (2006) A three-dimensional analytical cutting force model for micro end milling operation. Int J Mach Tools Manuf 46:353–366CrossRefGoogle Scholar
  3. 3.
    Malekian M, Park SS, Jun MBG (2009) Modeling of dynamic micro-milling cutting forces. Int J Mach Tools Manuf 49:586–598CrossRefGoogle Scholar
  4. 4.
    Aramcharoen A, Mativenga PT (2009) Size effect and tool geometry in micromilling of tool steel. Precis Eng 33:402–407CrossRefGoogle Scholar
  5. 5.
    Bissacco G, Hansen HN, Slunsky J (2008) Modelling the cutting edge radius size effect for force prediction in micro milling. CIRP Ann Manuf Technol 57:113–116CrossRefGoogle Scholar
  6. 6.
    Lai X, Li H, Li C, Lin Z, Ni J (2008) Modelling and analysis of micro scale milling considering size effect, micro cutter edge radius and minimum chip thickness. Int J Mach Tools Manuf 48:1–14CrossRefGoogle Scholar
  7. 7.
    Vogler MP, Kapoor SG, DeVor RE (2004) On the modeling and analysis of machining performance in micro-end milling, part II: cutting force prediction. J Manuf Sci Eng 126:695–705CrossRefGoogle Scholar
  8. 8.
    Vogler MP, DeVor RE, Kapoor SG (2004) On the modeling and analysis of machining performance in micro-end milling, part I: surface generation. J Manuf Sci Eng 126:685–694CrossRefGoogle Scholar
  9. 9.
    Liu X, DeVor RE, Kapoor SG (2006) An analytical model for the prediction of minimum chip thickness in micromachining. Trans ASME 128:474–481Google Scholar
  10. 10.
    Malekian M, Mostofa MG, Park SS, Jun MBG (2012) Modeling of minimum uncut chip thickness in micro machining of aluminum. J Mater Process Technol 212:553–559CrossRefGoogle Scholar
  11. 11.
    Zhanqiang L, Zhenyu S, Yi W (2013) Definition and determination of the minimum uncut chip thickness of micro cutting. Int J Adv Manuf Technol 69:1219–1232CrossRefGoogle Scholar
  12. 12.
    de Oliveira FB, Rodrigues AR, Coelho RT, deSouza AF (2015) Size effect and minimum chip thickness in micromilling. Int J Mach Tools Manuf 89:39–54CrossRefGoogle Scholar
  13. 13.
    Sooraj VS, Mathew J (2011) An experimental investigation on the machining characteristics of microscale end milling. Int J Adv Manuf Technol 56:951–958CrossRefGoogle Scholar
  14. 14.
    Lee WS, Lin CF (1998) Plastic deformation and fracture behavior of Ti–6Al–4V alloy loaded with high strain rate under various temperatures. Mater Sci Eng A 241:48–59CrossRefGoogle Scholar
  15. 15.
    Mamedov A, Lazoglu I (2016) Thermal analysis of micro milling titanium alloy Ti–6Al–4V. J Mater Process Technol 229:659–667CrossRefGoogle Scholar
  16. 16.
    Arcona C, Dow TA (1998) An empirical tool force model for precision machining. Trans ASME 120:700–707Google Scholar
  17. 17.
    Afazov SM, Zdebski D, Ratchev SM, Segal J, Liu S (2013) Effects of micro-milling conditions on the cutting forces and process stability. J Mater Process Technol 213:671–684CrossRefGoogle Scholar
  18. 18.
    Jun MBG, Goo C, Malekian M, Park SS (2012) A new mechanistic approach for micro end milling force modeling. J Manuf Sci Eng 134:011006-1–011006-9CrossRefGoogle Scholar
  19. 19.
    Kang IS, Kim JS, Kim JH, Kang MC, Seo YW (2007) A mechanistic model of cutting force in the micro end milling process. J Mater Process Technol 187–188:250–255CrossRefGoogle Scholar
  20. 20.
    Kumar M, Chang CJ, Melkote SN, Joseph R (2013) Modeling and analysis of forces in laser assisted micro milling. J Manuf Sci Eng 135:041018–1–041018–10CrossRefGoogle Scholar
  21. 21.
    Park SS, Malekian M (2009) Mechanistic modeling and accurate measurement of micro end milling forces. CIRP Ann Manuf Technol 58:49–52CrossRefGoogle Scholar
  22. 22.
    Srinivasa YV, Shunmugam MS (2013) Mechanistic model for prediction of cutting forces in micro end-milling and experimental comparison. Int J Mach Tools Manuf 67:18–27CrossRefGoogle Scholar
  23. 23.
    Afazov SM, Ratchev SM, Segal J (2010) Modelling and simulation of micro-milling cutting forces. J Mater Process Technol 210:2154–2162CrossRefGoogle Scholar
  24. 24.
    Ng CK, Melkote SN, Rahman M, Kumar AS (2006) Experimental study of micro- and nano-scale cutting of aluminum 7075-T6. Int J Mach Tools Manuf 46:929–936CrossRefGoogle Scholar
  25. 25.
    Rao S, Shunmugam MS (2012) Analytical modeling of micro end milling forces with edge radius and material strengthening effects. Mach Sci Technol: Int J 16:205–227CrossRefGoogle Scholar
  26. 26.
    Anand RS, Patra K, Steiner M, Biermann D (2017) Mechanistic modeling of micro-drilling cutting forces. Int J Adv Manuf Technol 88:241–254CrossRefGoogle Scholar
  27. 27.
    Anand RS, Patra K (2017) Mechanistic cutting force modelling for micro-drilling of CFRP composite laminates. CIRP J Manuf Sci Technol 16:55–63CrossRefGoogle Scholar
  28. 28.
    Pramanik A (2012) Problems and solutions in machining of titanium alloys. Int J Adv Manuf Technol 70:919–928CrossRefGoogle Scholar
  29. 29.
    Liu K, Melkote SN (2006) Material strengthening mechanisms and their contribution to size effect in micro-cutting. J Manuf Sci Eng 128:730–738CrossRefGoogle Scholar
  30. 30.
    Backer WR, Marshall ER, Shaw MC (1952) The size effect in metal cutting. Trans ASME 74:61–72Google Scholar
  31. 31.
    Larsen-Basse J, Oxley PLB (1973) Effect of strain-rate sensitivity on scale phenomenon in chip formation. In: Proceedings of the 13th international machine tool design & research conference, University of Birmingham 209–216Google Scholar
  32. 32.
    Kopalinsky EM, Oxley PLB (1984) Size effects in metal removal process. In: Institute of physics conference series No. 70, third conference on mechanical properties at high rates of strain 389–396Google Scholar

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© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Mechanical Engineering DepartmentNIT CalicutKozhikodeIndia

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