Abstract
This paper reports the cutting mechanism in micro-electrical discharge drilling (uEDD) during a micro-dimpling process. A combination of fundamental micro-drilling and micro-electrical discharge machining (uEDM) is considered the main mechanism in the uEDD process. First, the cutting force in micro-drilling was modeled on a chisel and lip section based on a mechanistic model of the oblique cutting. Second, the model of the uEDM was also included based on uniform heat flux. Experiments of a micro-dimple were carried out on a titanium alloy (Ti6AI4V) to confirm the model validity. The validation confirms that the proposed cutting force model can be applied to predict the thrust force during micro-dimpling under uEDD. In addition, a micro-dimple morphology is also discussed.
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Abbreviations
- R D :
-
Maximum radius of micro-crater
- t dis :
-
Discharge time of plasma spark
- q 0 :
-
Heat flux density
- Q a :
-
Heat absorption to the anode
- Q D :
-
Heat flow rate
- ζ:
-
Percentage
- E D :
-
Discharge energy
- C D :
-
Discharge capacitance
- V D :
-
Discharge voltage
- α D :
-
Diffusivity
- λk :
-
Thermal conductivity
- C p :
-
Specific heat
- ρ:
-
Density
- ierf :
-
Integral complementary error function
- T(z):
-
Temperature as a function of micro-crater depth
- T s :
-
Johnson-Cook shear stress
- A,B,C,n,m :
-
Johnson-Cook material constant
- Tr, Tm :
-
Room temperature, melting temperature
- Y d :
-
Velocity angle
- i :
-
Oblique angle
- θ:
-
Angle between radius r and y-axis
- K t :
-
Taper angle of micro-drill tool
- Ψc :
-
Chisel edge angle
- βh_o :
-
Local helix angle on the lip
- βh :
-
Helix angle of micro-drill tool
- βn :
-
Normal friction angle
- βa :
-
Average friction angle in orthogonal cutting
- αf, αn :
-
Effective rake angle, normal rake angle
- ϕn :
-
Merchant shear angle
- φIM :
-
Immersion angle
- R :
-
Radius of micro-drill
- r :
-
Radius from lip to z-axis
- Ktc, Kfc, Krc :
-
Cutting coefficient in oblique cutting
- Kte, Kfe, Kre :
-
Cutting edge constant
- dFt, dFf, dFr :
-
Elemental cutting forces
- F z,lip :
-
Total thrust force on the two lip edges
- F z,chisel :
-
Chisel thrust force
- F z,total :
-
Total thrust force
- Fz,thrust :
-
Thrust force in sinusoidal form
- Fx,Fy :
-
Total cutting force in x- and y- direction
- A chisel :
-
Chisel area
- H vickers :
-
Vickers hardness in MPa
- f d :
-
Feed rate
- w :
-
Half of total chisel width
- h :
-
Chip thickness on the lip edge
- db :
-
Elemental width of chip on the lip edge
- dz :
-
Elemental width of elevation z
- dA :
-
Elemental cutting area
References
I. Basso, M. F. Batista, R. G. Jasinevicius, J. C. C. Rubio and A. R. Rodrigues, Micro drilling of carbon fiber reinforced polymer, Composite Structures, 228 (2019) 111312.
T. Tamura, R. Akiyama, R. I. Tanaka, H. Kawamoto and S. Umezu, Groove fabrication on surface of soft gelatin gel utilizing micro-electrical discharge machining (Micro-EDM), Journal of Food Engineering, 277 (2020) 109919.
R. Kurniawan and T. J. Ko, Friction reduction on cylindrical surfaces by texturing with a piezoelectric actuated tool holder, Int. J. Precis. Eng. Manuf., 16 (5) (2015) 861–868.
A. Greco, S. Raphaelson, K. Ehmann, Q. J. Wang and C. Lin, Surface texturing of tribological interface using the vibrome-chanical texturing method, Journal of Manufacturing Science and Engineering, 131 (6) (2009) 1–8.
T. Matsumura and S. Takahashi, Micro dimple milling on cylinder surfaces, J. Manuf. Process., 14 (2) (2012) 135–140.
R. Kurniawan, G. Kiswanto and T. J. Ko, Micro-dimple pattern process and orthogonal cutting force analysis of elliptical vibration texturing, Int. J. Mach. Tools Manuf, 106 (2016) 127–140.
S. T. Jung, S. T. Kumaran, C. P. Li, R. Kurniawan and T. J. Ko, Performance evaluation of micro-dimple formation on a T-6AI-4V alloy by using electrical discharge drilling, Journal of Mechanical Science and Technology, 32 (9) (2018) 4365–4372.
T. Pratap and K. Patra, Mechanical micro-texturing of Ti-6AI-4V surfaces for improved wettability and bio-tribological performances, Surf. Coatings Technol., 349 (2018) 71–81.
P. J. Arrazola, A. Garay, L. M. Iriarte, M. Armendia, S. Marya and F. Le Maitre, Machinability of titanium alloys (Ti6AI4V and Ti555. 3), Journal of Material Processing Technology, 209 (5) (2009) 2223–2230.
S. I. Jaffery and P. T. Mativenga, Assessment of the machinability of Ti-6AI-4V alloy using the wear map approach, Int. J. Adv. Manuf. Technol., 40 (7-8) (2009) 687–696.
A. Hasçalikand U. Çaydas, Electrical discharge machining of titanium alloy (Ti-6AI-4V), Appl. Surf. Sci., 253 (22) (2007) 9007–9016.
Y. B. Guo and R. Caslaru, Fabrication and characterization of micro dent arrays produced by laser shock peening on titanium Ti-6AI-4V surfaces, J. Mater. Process. Technol., 211 (4) (2011) 729–736.
M. Gostimirovic, V. Pucovsky, M. Sekulic, M. Radovanovic and M. Madic, Evolutionary multi-objective optimization of energy efficiency in electrical discharge machining, Journal of Mechanical Science and Technology, 32 (10) (2018) 4775–4785.
Z. Zhao, Y. Wang, Z. Wang and J. Liu, Thermal analysis for the large precision EDM machine tool considering the spark energy during long-time processing, Journal of Mechanical Science and Technology, 33 (2) (2019) 773–782.
Z. Zhao, J. Zhang, Y. Wang, Z. Wang, J. Liu and C. Quan, Dynamic thermal behavior and thermal error prediction of spindle due to periodic jump motions in a large precision die sinking EDM machine, Journal of Mechanical Science and Technology, 33 (7) (2019) 3397–3405.
J. Sträsky, M. Janecek, P. Harcuba, M. Bukovina and L. Wagner, The effect of microstructure on fatigue performance of Ti-6AI-4V alloy after EDM surface treatment for application in orthopaedics, Journal of the Mechanical Behavior of Biomedical Materials, 4 (8) (2011) 1955–1962.
D. T. Phan, S. S. Dimov, S. Bigot, A. Ivanov and K. Popov, Micro-EDM—Recent developments and research issues, Journal Materials Processing Technology, 149 (1-3) (2004).
Y. S. Wong, M. Rahman, H. S. Lim, H. Han and N. Ravi, Investigation of micro-EDM material removal characteristics using single RC-pulse discharges, Journal of Materials Processing Technology, 140 (1–3) (2003) 303–307.
D. D. DiBitonto, P. T. Eubank, M. R. Patel and M. A. Barrufet, Theoretical models of the electrical discharge machining process. I. A. simple cathode erosion model, Journal of Applied Physics, 66 (9) (1989) 4095–4103.
M. R. Patel, M. A. Barrufet, P. T. Eubank and D. D. DiBitonto, Theoretical models of the electrical discharge machining process. II. The anode erosion model, Journal of Applied Physics, 66 (9) (1989) 4104–4111.
S. H. Yeo, W. Kurnia and P. C. Tan, Electro-thermal modelling of anode and cathode in micro-EDM, J. Phys. D. Appl. Phys., 40 (8) (2007) 2513–2521.
P. Govindan and S. S. Joshi, Experimental characterization of material removal in dry electrical discharge drilling, Int. J. Mach. Tools Manuf, 50 (5) (2010) 431–443.
K. Y. Song, M. S. Park and C. N. Chu, Micro electrical discharge drilling of tungsten carbide using deionized water, Journal of Micromechanics and Microengineering, 19 (4) (2009).
S. Plaza, J. A. Sanchez, E. Perez, R. Gil, B. Izquierdo, N. Ortega and I. Pombo, Experimental study on micro EDM-drilling of Ti6AI4V using helical electrode, Precision Engineering, 38 (4) (2014) 821–827.
M. Ay, U. Çaydas and A. Hasçalik, Optimization of micro-EDM drilling of inconel 718 superalloy, Int. J. Adv. Manuf. Technol., 66 (5–8) (2013) 1015–1023.
E. Yun, K. Lee and S. Lee, Improvement of high-temperature hardness of (TiC, TiB)/Ti-6AI-4V surface composites fabricated by high-energy electron-beam irradiation, Surf. Coatings Technol., 184 (1) (2004) 74–83.
Y. Altintas, Manufacturing Automation-metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design, 2nd ed, Cambridge University Press, United States (2012).
A. Moufki, D. Dudzinski and G. Le Coz, Prediction of cutting forces from an analytical model of oblique cutting, application to peripheral milling of Ti-6AI-4V alloy, Int. J. Adv. Manuf. Technol., 81 (1–4) (2015) 615–626.
M. Shatla and T. Altan, Analytical modeling of drilling and ball end milling, J. Mater. Process. Technol., 98 (1) (2000) 125–133.
R. Kurniawan and T. J. Ko, Cutting force model in micro-dimple pattern process using two-frequency elliptical vibration texturing (TFEVT) method, Int. J. Precis. Eng. Manuf, 20 (1) (2019) 1–11.
M. Kunieda, M. Yoshida and N. Taniguchi, Electrical discharge machining in gas, CIRP Ann. - Manuf. Technol., 46 (1) (1997) 143–146.
B. Shao and K. P. Rajurkar, Modelling of the crater formation in micro-EDM, Procedia CIRP, 33 (2015) 376–381.
R. Kurniawan, S. T. Kumaran, V. A. Prabu, Y. Zhen, K. M. Park, Y. I. Kwak and T. J. Ko, Measurement of burr removal rate and analysis of machining parameters in ultrasonic assisted dry EDM (US-EDM) for deburring drilled holes in CFRP composite, Measurement, 10 (2017) 98–115.
M. Y. Kim, C. P. Li, R. Kurniawan, S. T. Jung and T. J. Ko, Experimental investigation of burr reduction during EDM end-milling hybrid process, Journal of Mechanical Science and Technology, 33 (6) (2019) 2847–2853.
H. T. Lee and T. Y. Tai, Relationship between EDM parameters and surface crack formation, J. Mater. Process. Technol., 142 (3) (2003) 676–683.
Acknowledgments
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT, and Future Planning [Grant Number NRF-2020R1A2B5B02001755]. This work was also supported by the 2019 Yeungnam University Research Grant.
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Sang Tae Jung is a Senior Researcher at Pohang University of Science and Technology. He received his bachelor degree from Dongguk University, South Korea. He received his M.S. Eng. and Ph.D. degrees in Mechanical Engineering from Yeungnam University, South Korea. His research interests include nontraditional machining, micro stereo-lithography process using UV lamp, and micro electrical discharge drilling.
Rendi Kurniawan is an Assistant Professor in Mechanical Engineering at Yeungnam University, South Korea. He received bachelor degree from Univer-sitas Indonesia, Indonesia. His M.S. Eng. and Ph.D. degrees in Mechanical Engineering were obtained from Yeungnam University, South Korea. His research interests are surface texturing, tribology, micro-dimple fabrication, ultrasonic transducer, elliptical vibration texturing, and micro electrical discharge drilling.
Tae Jo Ko is a Professor in Mechanical Engineering at Yeungnam University, South Korea. He received his Ph.D. in Mechanical Engineering from POSTECH, South Korea. His research interests include micro-cutting process, non-traditional machining, surface texturing, bio-machining, hybrid EDM-milling process, textured surface on end-mill, deburring process of CFRP composite, and CFRP drilling.
S. Thirumalai Kumaran is currently an Associated Professor at Kalasalingam University, Tamil Nadu, India. He received M.Tech degree from Government College of Technology, Tamil Nadu, India. He received Ph.D. degree in Mechanical Engineering from Kalasalingam University, Tamil Nadu, India. His research interests include tribological studies, surface modification, machining studies, cryogenics and material characterization.
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Jung, S.T., Kurniawan, R., Kumaran, S.T. et al. Mechanism study of micro-electrical discharge drilling method during micro-dimpling. J Mech Sci Technol 34, 2549–2559 (2020). https://doi.org/10.1007/s12206-020-0530-8
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DOI: https://doi.org/10.1007/s12206-020-0530-8