Abstract
The aim of the present work is to develop a predictive thermal model based on heat transfer principle for the simulation of single-spark microelectric discharge machining (μ-EDM). The three-dimensional model is solved using finite volume method (FVM). It utilizes the Gaussian distribution of heat flux, percentage distribution of energy among the workpiece, tool electrode, and dielectric to perform transient thermal analysis to predict the crater geometry and temperature distribution in the workpiece at different voltages and capacitance values along the x, y, and z directions. The experiments were performed for single-spark discharge using a resistor-capacitor (RC) circuit with titanium alloy (Ti-6Al-4V) as workpiece material and tungsten carbide as tool electrode. The experimental crater dimensions were measured by using a scanning electron microscope (SEM). The model is validated by comparing the predicted temperature distribution with the published results and also with experimental results. Results show that the trends predicted by the model are logical and match fairly well with the experimental trends.
Similar content being viewed by others
References
Jahan MP, Rahman M, Wong YS (2011) A review on the conventional and micro-electrodischarge machining of tungsten carbide. Int J Mach Tools Manuf 51(12):837–858
Jilani ST, Pandey PC (1982) Analysis and modeling of EDM parameters. Precis Eng 4:215–221
Dibitonto DD, Eubank PT, Patel MR, Barrufet MA (1989) Theoretical model of the electric discharge machining process. I. The cathode erosion model. J Appl Phys 66:4095–4103
Patel MR, Barrufet MA, Eubank PT, Dibitonto DD (1989) Theoretical model of the electric discharge machining process. II. The anode erosion model. J Appl Phys 66:4104–4111
Shankar P, Jain VK, Sundararajan T (1997) Analysis of spark profiles during EDM process. Mach Sci Technol 1:195–217
Singh A, Ghosh A (1999) A thermo electric model of material removing during electric discharge machining. Int J Mach Tools Manuf 39:669–682
Yu ZY, Kozak J, Rajurkar KP (2003) Modeling and simulation of micro EDM process. CIRP Ann 52:143–146
Marafona J, Chousal JAG (2006) A finite element model of EDM based on the Joule effect. Int J Mach Tools Manuf 46(6):595–602
Joshi SN, Pande SS (2009) Development of an intelligent process model for EDM. Int J Adv Manuf Technol 45:300–317
Joshi SN, Pande SS (2010) Thermo physical modeling of die sinking EDM process. J Manuf Process 12:45–56
Izquierdo B, Sanchez JA, Plaza S, Pombo I, Ortega N (2009) A numerical model of the EDM process considering the effect of multiple discharges. Int J Mach Tools Manuf 49:220–229
Xie BC, Wang YK, Wang ZL, Zhao WS (2011) Numerical simulation of titanium alloy machining in electric discharge machining process. Trans Nonferrous Metals Soc China 21:434–439
Shabgard M, Ahmadi R, Seyedzavvar M, Oliaei SNB (2013) Mathematical and numerical modeling of the effect of input-parameters on the flushing efficiency of plasma channel in EDM process. Int J Mach Tools Manuf 65:79–87
Izquierdo B, Plaza S, Sanchez JA, Pombo I, Ortega N (2012) Numerical prediction of heat affected layer in the EDM of aeronautical alloys. Appl Surf Sci 259:780–790
Zhang Y, Liu Y, Shen Y, Li Z, Ji R, Cai B (2014) A novel method of determining energy distribution and plasma diameter of EDM. Int J Heat Mass Transfer 75:425–432
Yeo SH, Kurnia W, Tan PC (2008) Critical assessment and numerical comparison of electro thermal models in EDM. J Mater Process Technol 203:241–251
Snoeys R, Van Dijick FS (1971) Investigation of electro discharge machining operations by means of thermo mathematical model. CIRP Ann 20:35–37
Van Dijick FS, Dutre WL (1974) Heat conduction model for the calculation of the volume of molten metal in electric discharges. J Phys D Appl Phys 7:899–910
Beck JV (1981) Transient temperatures in a semi-infinite cylinder heated by a disk heat source. Int J Heat Mass Transfer 24:1631–1640
Jilani ST, Pandey PC (1983) Analysis of surface erosion in electrical discharge machining. Wear 84(275):284
Dhanik S, Joshi SS, Ramakrishnan N, Apte PR (2005) Evolution of EDM process modeling and development towards modeling of the micro EDM process. Int J Manuf Technol Manag 7:157–180
Dhanik S, Joshi SS (2005) Modeling of a single resistance capacitance pulse discharge in micro electro discharge machining. J Manuf Sci Eng 127:759–767
Yu ZY, Kozak J, Rajurkar KP (2003) Modeling and simulation of micro EDM process. CIRP Ann Manuf Technol 52:143–146
Murali MS, Yeo SH (2005) Process simulation and residual stress estimation of micro electric discharge machining using finite element method. J Appl Phys 44(7):5254–5263
Yeo SH, Kurnia W, Tan PC (2007) Electro thermal modeling of anode and cathode in micro EDM. J Phys D Appl Phys 40(8):2513
Kiran KMP, Joshi SS (2007) Modeling of surface roughness and the role of debris in micro-EDM. J Manuf Sci Eng 129(2):265–273
Allen P, Chen X (2007) Process simulation of micro electrodischarge machining on molybdenum. J Mater Process Technol 186:346–355
Mathew J, Allesu K, Srisailam S, Somashekar KP, Prakash Naidu P, Suvin PS (2012) Estimation of residual stress and crater shape in μ-EDM by finite element method. Proceedings of 7th ASME Int conf, Texas, USA
Somashekhar KP, Mathew J, Ramachandran N (2012) Electrothermal theory approach for numerical approximation of the μ-EDM process. Int J Adv Manuf Technol 61:1241–1246
Somashekhar KP, Panda S, Mathew J, Ramachandran N (2013) Numerical simulation of micro-EDM model with multi-spark. Int J Adv Manuf Technol. doi:10.1007/s00170-013-5319-9
Ghosh A, Mallik AK (1986) Manufacturing science. Ellis Horwood
Yadav V, Jain VK, Dixit PM (2002) Thermal stress due to electrical discharge machining. Int J Mech Tools Manuf 42:877–888
Zahiruddin M, Kunieda M (2012) Comparison of energy and removal efficiencies between micro and macro EDM. CIRP Ann Manuf Technol 61:87–90
Somashekar KP (2010) Theoretical and experimental investigations on micro electric discharge machining processes. PhD Thesis, National institute of Technology, Kerala, India
Rajurkar K (2006) Micro and nano machining by electro-physical and chemical processes. CIRP Ann Manuf Technol 55(2):643–666
Guu Y, Hocheng H (2001) Effects of workpiece rotation on machinability during electrical-discharge machining. Mater Manuf Process 16(1):91–101
Huang H (2003) Ultrasonic vibration assisted electro-discharge machining of micromoles in Nitinol. J Micromech Microeng 13(5):693
Yeo S, Murali M, Cheah H (2004) Magnetic field assisted micro electro-discharge machining. J Micromech Microeng 14(11):1526–1531
Murali MS, Yeo S (2004) A novel spark erosion technique for the fabrication of high aspect ratio micro grooves. Microsyst Technol 10(8–9):628–632
Versteeg HK, Malalasekara W (1995) An introduction to computational fluid dynamics, the finite volume method. Pearson Education Limited, Harlow
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kuriachen, B., Varghese, A., Somashekhar, K.P. et al. Three-dimensional numerical simulation of microelectric discharge machining of Ti-6Al-4V. Int J Adv Manuf Technol 79, 147–160 (2015). https://doi.org/10.1007/s00170-015-6794-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-015-6794-y