International Research Journal of Engineering Science, Technology and Innovation (IRJESTI) Vol. 1(5) pp.142-151, August 2012 Available online http://www.interesjournals.org/IRJESTI Copyright © 2012 International Research Journals Full Length Research Paper Determination of an optimum parametric combination using a surface roughness in EDM process through response surface methodology R. Rajesh* and M. Dev Anand Department of Mechanical Engineering, Noorul Islam Centre for Higher Education,Kumaracoil – 629180, Kanyakumari District, Tamilnadu, India. Accepted 26 June, 2012 Electrical Discharge Machining (EDM) process is an important manufacturing technology in machining difficult-to-cut and shape complicated contours. It provides an economical and effective method for shaping and smoothing high strength, heat resistant materials into intricate shapes. The EDM process involves a controlled erosion of electrically conductive materials by the initiation of rapid and repetitive spark discharge between the electrode tool and work piece, separated by a small gap of about 0.05 0.5mm known as the spark gap. This spark gap is immersed under a dielectric fluid. In EDM process, it is important to select machining parameters for achieving optimal machining performance in high heat resistance and hard material. The desired machining parameters are found out from the hand book based on experience. However, this does not ensure that the obtained parameters are near optimal performance. To meet the challenges of a changing world, the EDM process must have the process capability, accuracy and robustness. To achieve this goal the EDM process has to be modeled and optimized. In this research, Response Surface Methodology is used to investigate the effect of five controllable input variables namely peak current, discharge voltage, pulse on time, pulse off time, oil pressure and SR is the response. To study the proposed second-order polynomial model for SR, a Central Composite Design (CCD) is used to estimate the model coefficients of the five input parameters. Experiments were conducted on AISI 1020 steel with copper electrode. The response is modeled using RSM on experimental data. The significant coefficients are obtained by performing Analysis of Variance (ANOVA) at 5% level of significance. It is found that peak current, discharge voltage, pulse on time, pulse off time and oil pressure and along with their interactions have significant effect on the SR. Keywords: Electrical discharge machining, response surface methodology, central composite Design, analysis of variance. INTRODUCTION Electric Discharge Machining (EDM), is now a well known process particularly used in precise machining for complex shaped work pieces, as an alternative to more traditional approaches and for details concerning the Physical phenomena inherent to this process, one can consult Nizar Ben Salah, et al., 2006. This process enabels machining of any material, which is electrical conductive, irrespective of its hardness, shape and strength.Even highly delicate sections and weak materials can be machined without any fear of distortion because there *Corresponding Author Email: anandpmt@hotmail.com and rajesh200345@yahoo.co.in is no direct contact between the tool and work piece. Since the invention of EDM in the 1940s,many efforts have been made to improve the machining performance and stability of EDM process due to continuous process improvement. This necessity leads to evolution of advance materials like high strength alloys, ceramics, fiber-reinforced composites etc. In machining of these materials, conventional manufacturing processes are increasingly being replaced by more advanced techniques, which use different fashion of energy to remove the material because these advance materials are difficult to machine by the conventional machining processes, and it is difficult to attain good surface finish and close tolerance. Rajesh and Anand 143 With the advancement of automation technology manufacturers are more fascinated in the processing and miniaturization of components made by these costly and hard materials. EDM has grown over the last few decades from a novelty to a mainstream manufacturing process. It is most widely and successfully applied for the machining of various work piece materials in the said advance industry. It is a thermal process with a complex metal removal mechanism, involving the formation of a plasma channel between the tool and work piece electrodes, the repetitive spark instigate melting and even evaporating the electrodes. In the recent years, EDM is firmly established for the production of tool to produce die-castings, plastics a moulding, forging dies etc. The advantage of EDM process is its capability to machine difficult to machine materials with desired shape and size with a required dimensional accuracy and productivity. Due to this benefit EDM is an illustrious technique used in modern manufacturing industry to produce high-precision machining of all types of conductive materials, alloys and even ceramic materials, of any hardness and shape, which would have been difficult to manufacture by conventional machining. However, the efficiency of machining is low as compared to conventional machining. Though EDM process is very demanding but the mechanism of process is complex and far from completely understood. Therefore, it is troublesome to establish a model that can accurately predict the performance by correlating the process parameter. The optimum processing parameters are very much essential to establish to boost up the production rate to a large extent and shrink the machining time, since these materials, which are processed by EDM and even the costly process is very costly. Quite a lot of research attempts have been made for modeling of EDM process and investigation of the process performance to recuperate MRR. Improving the MRR and surface quality are still challenging problems that restrict the expanded application of the technology. Little research has been reported about EDM on AISI 1020 steel yet for the modeling by, surface response methodology. In this paper, surface response approach is used for development of a model and analysis of SR, with peak current (Ip), pulse on time (Ton), pulse off time (Toff), discharge voltage and oil pressure as input parameters. A Central Composite Design (CCD) for combination of variables and Response Surface Method (RSM) have been used to analyze the effect of the five parameters, current (Ip), pulse on time (Ton), pulse off time (Toff), discharge voltage and oil pressure on the SR of EDM process. Su et al., 2004 developed an ANN model of the EDM process and further used it to optimize the input process parameters by using GA. Sen and Shan 2007, Mandal et al., 2007, Gao et al., 2008, Snoyes, 1971, and Wang et al., 2003 followed the similar methodology for thermo deleing and optimization of EDM process for different work–tool material pairs. Recently, Yanga et al., 2009 used Simulated Annealing (SA) technique with ANN for optimization of MRR and surface roughness. Literature Survey Different researchers did the various investigations about EDM. The results were summarizes as follows. In Yan et al., (1999), describes the characteristics of the micro-hole of carbide by electric discharge machining with a copper tool electrode. To achieve minimal expansion of the machined micro-hole and minimal tool electrode wear rate to secure a high precision micro-hole in the carbide, the effects of changing the polarity, the tool electrode shape, and the rotational speed of the tool electrode are studied. Mahapatra and Amar Patnaik 2006, this work, it is intended to study factors like discharge current, pulse duration, pulse frequency, wire speed, wire tension and dielectric flow rate and few selected interactions both for maximizations of MRR and minimization of surface roughness in WEDM process using Taguchi Method. Cabanesa et al., 2006, discusses the results of the analyses of an exhaustive experimental database that reproduces unexpected disturbances that may appear during normal operation. The results of the analyses reveal new symptoms that allow one to predict wire breakage. These symptoms are especially related to the occurrence of an increase in discharge energy, peak current, as well as increases and/or decreases in ignition delay time. The differences observed in the symptoms related to work piece thickness are also studied. Another contribution of this paper is the analyses of the distribution of the anticipation time for different validation tests. Based on the results of the analyses; this paper contributes to improve the process performance through a novel wire breakage monitoring and diagnosing system Mandal, et al., 2007, Artificial Neural Network (ANN) with back propagation algorithm is used to model the process. A multi-objective optimization method on-dominating sorting genetic algorithm-II is used to optimize the process. A large number of experiments have been conducted with a wide range of current, pulse on time and pulse off time. The MRR and tool wear have been measured for each setting of current, pulse on time and pulse off time. Sushant Dhar et al., 2007, Aluminum Matrix Composites (AMC) are hard to machine due to the presence of hard and brittle ceramic reinforcements. EDM is an important process for machining such materials. The present work evaluates the effect of current (c), pulse-on time (p) and air gap voltage (v) on Metal Removal Rate (MRR), Tool Wear Rate (TWR), Radial Over Cut (ROC) on EDM of Al–4Cu–6Si alloy–10 wt.% SiCP composites. The optimum conditions for maximum MRR with reduced TWR and ROC can also be obtained using linear programming. The MRR, TWR and ROC increase significantly in a nonlinear fashion with increase in current. 144 Int. Res. J. Eng. Sci. Technol. Innov. Table1. Different Variables Used in the Experiment and Their Levels Variable 1 Level 2 3 A 5 15 25 B 25 50 75 C 15 20 25 D 1 1.5 2 E 20 25 30 A 5 15 25 Coding Discharge current (Ip) in A Discharge Voltage in V Pulse on time (Ton)in µs Pulse off Time (Toff) in s Oil Pressure in 2 kg/cm Discharge current (Ip) in A EDM appears as an alternative to grinding and hard turning for the machining of tool steels because EDM allows the machining of any type of conducting material, regardless of its hardness. Nevertheless, other factors must be taken into accounting the selection of machining processes, especially in the case of responsibility parts. These factors are related with surface integrity: residual stresses, hardness and structural changes generated by the machining processes. In this work, the surface integrity generated in AISIO1 tool steel by wire electrodischarge machining, hard turning and production grinding is studied and compared. P. Asokan et al., 2008, Owing to the complexity of ECM, it is very difficult to determine optimal cutting parameters for improving cutting performance. Hence, optimization of operating parameters is an important step in machining, particularly for unconventional machining procedures like ECM. In this paper, current, voltage, flow rate and gap are considered as machining parameters and metal removal rate and surface roughness are the objectives by applying grey relational analysis, they calculate the grey grade for representing multi-objective.Sameh,2009, highlights the development of a comprehensive mathematical model for correlating the interactive and higher order influences of various electrical discharge machining parameters through Response Surface Methodology (RSM), utilizing relevant experimental data as obtained through experimentation. The mathematical models have been developed on the basis of RSM, utilizing the data from practical observable conditions of the electrical discharge machining of work pieces. Investigations were carried out for analysis of the control conditions needed for the control of the material removal rate, electrode wear ratio, gap size and surface roughness. Seung-Han Yanga, et al., 2009, proposes an optimization methodology for the selection of best process parameters in EDM. Regular cutting experiments are carried out on die-sinking machine under different conditions of process parameters. This system model is employed to simultaneously maximize the material removal rate as well as minimize the surface roughness using simulated annealing scheme. Muthu Kumar et at., 2010, demonstrates optimization of WEDM process parameters ofIncoloy800 super alloy with multiple performance characteristics such as Material Removal Rate (MRR), surface roughness and Kerf based on the Grey–Taguchi Method. The process parameters considered in this research work are Gap Voltage, Pulse On-time, Pulse Off-time and Wire Feed by Krishna Mohana Rao and Hanumantha Rao, 2010, work is aimed at optimizing the hardness of surface produced in die sinking EDM by considering the simultaneous affect of various input parameters. The experiments are carried out on Ti6Al4V, HE15, 15CDV6 and M-250 by varying the peak current and voltage and the corresponding values of hardness were measured. A cylindrical pure copper with a diameter of 10 mm was used as a tool electrode (of positive polarity) and work piece materials used were AISI 1020 steel square 2 plates of surface dimensions 124×94mm and of thickness 15 mm. Commercial grade EDM oil (specific gravity = 0.763, freezing point= 94˚C) was used as dielectric fluid with an electrode gap of 0.1mm. The test conditions are given in the Table 1. Response Surface Methodology Response Surface Methodology (RSM) is a collection of mathematical and statistical techniques that are useful for modeling and analysis of problems in which output or response influenced by several variables and the goal is to find the correlation between the response and the variables. It can be used for optimizing the response. It is Rajesh and Anand 145 Table 2. Planning Matrix of the Experiments with the Optimal Model Data Sl. No. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. Ip V Ton Toff Poil SR 15 25 25 25 25 5 25 15 25 25 15 15 15 5 15 5 5 5 5 15 15 5 15 15 25 5 15 15 5 25 15 15 50 75 75 75 25 25 75 50 50 25 50 50 75 75 50 50 25 25 75 50 50 75 50 50 25 25 25 50 75 25 50 50 25 25 25 15 15 15 15 20 20 25 15 20 20 15 20 20 25 15 25 20 20 15 20 20 15 25 20 20 25 25 20 20 1.5 2.0 1.0 1.0 1.0 2.0 2.0 1.5 1.5 1.0 1.5 1.0 1.5 1.0 1.5 1.5 1.0 1.0 1.0 1.5 1.5 2.0 1.5 1.5 2.0 2.0 1.5 1.5 2.0 2.0 1.5 2.0 25 30 20 30 20 20 20 25 25 30 25 25 25 20 30 25 20 30 30 25 25 30 25 25 30 30 25 20 20 20 25 25 2.75 2.73 2.70 2.96 2.90 0.81 2.60 3.10 3.49 2.90 2.70 3.30 2.95 2.20 3.06 2.45 1.38 1.22 2.50 3.10 3.10 2.60 3.09 3.10 2.96 0.98 2.41 2.97 2.60 2.90 3.10 3.20 an empirical modelization technique devoted to the evaluation of relations existing between a group of controlled experimental factors and the observed results of one or more selected criteria. A prior knowledge of the studied process is thus necessary to achieve a realistic model. We selected only five experimental factors capable of influencing the studied process yield: five factors pulse current (Ip), pulse on time (Ton), pulse off time (Toff), discharge voltage and Oil pressure. The first step of RSM is to define the limits of the experimental domain to be explored. These limits are made as wide as possible to obtain a clear response from the model. The pulse current (A), discharge voltage (B), pulse on time (C), pulse off time (D) and Oil pressure (E) are the machining variables, selected for our investigation. The different levels retained for this study are given in Table 1. In the next step, the planning to accomplish the experiments by means of response surface methodology (RSM) using a Central Composite Design (CCD) with five variables. Total numbers of experiments conducted with the combination of machining parameter are presented in Table 2. The central composite design used since it gives a comparatively accurate prediction of all response variable averages related to quantities measured during experimentation. CCD offers the advantage that certain 146 Int. Res. J. Eng. Sci. Technol. Innov. Table 3. ANOVA Table for SR Estimated Regression Coefficients Term Coefficient Constant A B C D E A*A B*B C*C D*D E*E A*B A*C A*D A*E B*C B*D B*E C*D C*E D*E -9.23635 0.17919 0.08620 0.70324 -2.29427 0.21678 -0.00114 -0.00065 -0.01438 0.66207 -0.00278 -0.00154 -0.00102 0.00050 0.00018 -0.00005 0.00460 0.00031 0.00100 -0.00425 -0.00100 SE Coefficient 0.271665 0.004446 0.002094 0.017855 0.140269 0.021811 0.000106 0.000017 0.000426 0.042582 0.000426 0.000017 0.000083 0.000835 0.000083 0.000033 0.000334 0.000033 0.001670 0.000167 0.001670 T P -33.999 40.304 41.172 39.386 -16.356 9.939 -10.754 -37.995 -33.768 15.548 -6.527 -92.517 -12.276 0.599 2.096 -1.497 13.773 9.282 0.599 -25.450 -0.599 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.561 0.060 0.163 0.000 0.000 0.561 0.000 0.561 S = 0.0166996 R-Sq = 99.98% R-Sq(adj) = 99.94% level adjustments are allowed and can be used in twostep chronological response surface methods. In these methods, there is a possibility that the experiments will stop with fairly few runs and decide that the prediction model is satisfactory. Experiments have been carried out on the EDM and the data were collected with respect to the influence of the predominant process parameters on SR. The 32 number of runs was conducted as per the conditions of run are depicted in the Table 2. The mathematical model is then developed that illustrate the relationship between the process variable and response. The behavior of the system is explained by the following empirical second-order polynomial model. k Y = β0 + k k ∑β Χ + ∑β X i i =1 i ii i =1 2 i + k ∑ ∑β X X ij i =1 i j i =1 Analysis of Variance (ANOVA) for the adequacy of the model is then performed in the subsequent step. The F ratio is calculated for 95% level of confidence. The value which are less then 0.05 are considered significant and the values greater than 0.05 are not significant and the model is adequate to represent the relationship between machining response and the machining parameters. EDM process is non-linear in nature the linear polynomial will be not able to predict the response accurately therefore the Second-order model (quadratic model) is used. It is observed from the adequacy test by ANOVA those linear terms Ip, V, Ton, Toff and Poil interaction terms Ip × V, Ip × Ton, Ip × Poil, V × Toff, V × Poil and Ton × Poil and square terms Ip2, V2, Ton2, Toff and Poil2 .The levels of significant are depicted in the Table 3.The fit summary recommended that the quadratic model is statistically significant for analysis of SR. For the appropriate fitting of SR, the no significant terms (p-value is greater than0.05) are eliminated by backward the elimination process. The ANOVA table for the curtailed quadratic model for SR is shown in Table 4, the reduced model results indicate that the model is significant (R2 and adjusted R2 are 99.97% and 99.94% respectively), and lack of fit is no significant (p-value is less than 0.05). The final response equation for SR is given as follows SR = [-9.19010 + 0.17994 A + 0.08520 B + 0.70224 C 2.29177 D + 0.21528 E - 0.00114 A*A - 0.00065 B*B 0.01438 C*C + 0.66207 D*D - 0.00278 E*E - 0.00154 A*B - 0.00102 A*C + 0.00018 A*E + 0.00460 B*D + 0.00031 B*E - 0.00425 C*E] The 32 experiments were conducted in duplicate and the average values of SR With design matrix were tabulated in Table 2. For analysis the data, the checking of Rajesh and Anand 147 Table 4. ANOVA table for SR Estimated Regression Coefficients after Backward Elimination SE T P Coefficient Constant -9.19010 0.250800 -36.643 0.000 A 0.17994 0.004168 43.176 0.000 B 0.08520 0.001938 43.951 0.000 C 0.70224 0.017194 40.842 0.000 D -2.29177 0.126101 -18.174 0.000 E 0.21528 0.021168 10.170 0.000 A*A -0.00114 0.000104 -11.008 0.000 B*B -0.00065 0.000017 -38.891 0.000 C*C -0.01438 0.000416 -34.564 0.000 D*D 0.66207 0.041601 15.915 0.000 E*E -0.00278 0.000416 -6.681 0.000 A*B -0.00154 0.000016 -94.699 0.000 A*C -0.00102 0.000082 -12.565 0.000 A*E 0.00018 0.000082 2.145 0.049 B*D 0.00460 0.000326 14.098 0.000 B*E 0.00031 0.000033 9.501 0.000 C*E -0.00425 0.000163 -26.050 0.000 S = 0.0163149 R-Sq = 99.97% R-Sq(adj) = 99.94% Term Coefficient Table 5. Analysis of Variance for SR Source DF Seq SS Adj SS Regression Linear Square Interaction 16 5 5 6 13.5 6.59 4.27 2.68 13.5 2.94 4.27 2.68 Adj MS 0.84 0.58 0.85 0.44 Residual Error 15 0.00 0.00 0.00 Lack-of-Fit Pure Error Total 10 5 31 0.00 0.00 13.5 0.00 0.00 goodness of fit of the model is very much required. The model adequacy checking includes the test for significance of the regression model, test for significance on model coefficients, and test for lack of fit. For this purpose, Analysis of Variance (ANOVA) is performed. The fit summary recommended that the quadratic model is statistically significant for analysis of SR. RESULT AND DISCUSSION The effect of the machining parameters (Ip,V, Ton, Toff and Poil) on the response variables SR have been evaluated by conducting experiments. The results are put into the F P 3183.2 2210.7 3210.5 1682.9 0.00 0.00 0.00 0.00 23.46 0.001 Minitab software for further analysis. The second-order model was proposed in find the correlation between the MRR and the process variables taken into account. The analysis of variance (ANOVA) was used to check the sufficiency of the second order model. Figure (1 to 2) shows the estimated response surface for SR in relation to the process parameters of Ip and Ton while Toff, V and Poil remain constant at their lowest values. It can be seen from the figure (1 to 2), the SR tends to increase significantly with the increase in Ip for any value of Ton. However, the SR tends to increase with increase in Ton, especially at higher Ip. Hence, minimum SR is obtained at low peak current (5A) and low pulse on time (15µs). This is due to their dominant 148 Int. Res. J. Eng. Sci. Technol. Innov. Contour Plot of SR vs Ton, Ip 25.0 SR < 1.5 – 2.0 – 2.5 – > Ton 22.5 1.5 2.0 2.5 3.0 3.0 Hold Values V 25 To ff 1 Po il 20 20.0 17.5 15.0 5 10 15 Ip 20 25 Figure 1. Effect of Surface Roughness Vs Pulse on Time and Discharge Current. Contour Plot of SR vs Toff, Ip 2.0 SR < 1.0 – 1.5 – 2.0 – > 1.8 1.0 1.5 2.0 2.5 2.5 Ho ld Valu es V 25 To n 15 Po il 20 T off 1.6 1.4 1.2 1.0 5 10 15 Ip 20 25 Figure 2. Effect of Surface Roughness Vs Pulse off Time and Discharge Current. Contour Plot of SR vs Toff, Ton 2.0 SR < 0.8 – 1.0 – 1.2 – > 1.8 0.8 1.0 1.2 1.4 1.4 Ho ld Values Ip 5 V 25 Po il 20 T off 1.6 1.4 1.2 1.0 15.0 17.5 20.0 Ton 22.5 25.0 Figure 3. Effect of Surface Roughness Vs Pulse off Time and Pulse on Time. control over the input energy, i.e. with the increase in Ip generates strong spark, which create the higher temperature and crater, hence rough surface in the work piece and low Ip creates small crater and therefore smooth surface. The effect of Ip and Toff is on the estimated response surface of SR is depicted in Figure (2), Ton, V and Poil remains constant in its lower levels. It can be noted that the SR increases when the Ip increases, the explanation is same, as stated earlier. Figure (3 to 4) represents SR as a function of Ton and Toff, whereas the Ip, V and Poil remains constant at its lower levels. It is observed that the SR values are low when Ton is low with higher Toff. Although the influence Rajesh and Anand 149 Contour Plot of SR vs Ton, V 25.0 1.2 1.5 1.8 2.1 2.4 Ton 22.5 SR < – – – – – > 1.2 1.5 1.8 2.1 2.4 2.7 2.7 Hold Values Ip 5 Toff 1 Poil 20 20.0 17.5 15.0 30 40 50 V 60 70 Figure 4. Effect of Surface Roughness Vs Pulse on Time and Discharge Voltage. Contour Plot of SR vs Toff, V 2.0 0.9 1.2 1.5 1.8 1.8 1.6 SR < – – – – > 0.9 1.2 1.5 1.8 2.1 2.1 Toff Hold Values Ip 5 Ton 15 Poil 20 1.4 1.2 1.0 30 40 50 V 60 70 Figure 5. Effect of Surface Roughness Vs Pulse off Time and Discharge Voltage. Contour Plot of SR vs V, Ip SR < 1.5 – 2.0 – 2.5 – > 70 V 60 1.5 2.0 2.5 3.0 3.0 Hold Values Ton 15 Toff 1 Poil 20 50 40 30 5 10 15 Ip 20 25 Figure 6. Effect of Surface Roughness Vs Discharge Voltage and Discharge Current. 150 Int. Res. J. Eng. Sci. Technol. Innov. Contour Plot of SR vs Poil, V 30 1.2 1.4 1.6 1.8 2.0 2.2 28 P o il 26 SR < – – – – – – > 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.4 Ho ld Values Ip 5 To n 15 To ff 1 24 22 20 30 40 50 V 60 70 Figure 7. Effect of Surface Roughness Vs Oil Pressure and Discharge Voltage. Contour Plot of SR vs Poil, Toff 30 0.8 0.9 1.0 1.1 28 26 SR < – – – – > 0.8 0.9 1.0 1.1 1.2 1.2 P oil Ho ld Values Ip 5 V 25 To n 15 24 22 20 1.0 1.2 1.4 1.6 1.8 2.0 Toff Figure 8. Effect of Surface Roughness Vs Oil Pressure and Pulse off Time. Contour Plot of SR vs Poil, Ip 30 SR < 1.5 – 2.0 – 2.5 – > 28 1.5 2.0 2.5 3.0 3.0 Hold Values V 25 Ton 15 Toff 1 Poil 26 24 22 20 5 10 15 Ip 20 25 Figure 9. Effect of Surface Roughness Vs Oil Pressure and Discharge Current. of this two parameter is very less when compared with the effect of Ip on SR. Figure (7 to 9) represents SR as a function of Ton and V, whereas the Ip, Toff and Poil remains constant at its lower levels. It is observed that the SR values are low when Ton and V are low. CONCLUSIONS The present study develops SR models for five different parameters namely peak current, discharge time, pause on time, pulse off time and oil pressure for EDM process of AISI1020 steel using response surface method. The Rajesh and Anand 151 second-order response models have been validated with analysis of variance. It is found that all the five machining parameters and some of their interactions have significant effect on SR considered in the present study. Finally, an attempt has been made to estimate the optimum machining conditions to produce the best possible SR within the experimental constraints. REFERENCES Asokan P, Ravi Kumar R, Jeyapaul R, Santhi M (2008). Development of Multi-Objective Optimization Models for Electrochemical Machining Process”, Int. J. Adv. Manufacturing Technol., 39, 55–63. Cabanesa I, Portilloa E, Marcosa M (2006). On-Line Prevention of Wire Breakage in Wire Electro-Discharge Machining”, Robotics and Computer Integrated Manufacturing, Department of Mechanical Engineering, E.T.S.I. de Bilbao (University of the Basque Country), Alameda Urquijo, s/n 48013, Bilbao, Spain. Debabrata Mandal, Surjya K. Pal, Partha Saha, “Modeling of Electrical Discharge Machining Process Using Back Propagation Neural Network and Multi-Objective Optimization Using Non-Dominating Sorting Genetic Algorithm – II”, J. Mater. Processing Technol., 186, (2007), 154–162. Gao O, Zhang QH, Su SP, Zhang JH, “Parameter Optimization Model in Electrical Discharge Machining Process”, J. Zhejiang University Sci. Ann., 9, (1) (2008) 104–108. Guu YH Hocheng H (2001). Effects of Workpiece Rotation on Machinability during Electrical Discharge machining”. Material Manufacturing Processes, 16, (1), 91–101. ( Krishna G, Mohana R, Hanumantha Rao D 2010). Hybrid Modeling and Optimization of Hardness of Surface Produced by Electric Discharge Machining Using Artificial Neural Networks and Genetic Algorithm”, ARPN J. Engin. Appl. Sci., 5, 5, ISSN 1819-6608 Lin CL, Lin JL, Ko TC (2002). Optimization of the EDM Process Based on the Orthogonal Array with Fuzzy Logic and Grey Relational Analysis Method”, Int. J. Adv. Manufacturing. Technol., 19,271–277. Mahapatra SS, Amar P (2006). Parametric Optimization of Wire Electrical Discharge Machining (WEDM) Process Using Taguchi Method”, XXVIII, 4, 4/423 to 4/429. Mandal D, Pal SK, Saha P (2007). Modelling of EDM Using BPNN and Multi-Objective Optimization Using Non Dominating Sorting Algorithm – II, J. Material Processing Technol. doi: 10.1016/ j.jmatprotec.2006.12.030. Minitab User Manual Release 15 MINITAB Inc, State College, PA, USA, (2003). nd Montgomery DC (1990). Design and Analysis of Experiments” (2 Edition), Wiley, New York. Muthu KV, Suresh BA, Venkatasamy R, Raajenthiren M (2010). Optimization of the WEDM Parameters on Machining Incoloy800 Super alloy with Multiple Quality Characteristics”, International J. Engin. Sci. Technol., 2, 6, 1538-1547. Nizar BS, Farhat G, Kas Ben A (2006). Numerical Study of Thermal Aspects of Electric Discharge Machining Process”, Int. J. Machine Tools and Manufacture, 46, 908–911 Rao GKM, Janardhana GR, Rao DR, Rao, MS “Development of Hybrid Model and Optimization of Surface Roughness in Electric Discharge Machining Using Artificial Neural Networks and Genetic Algorithm, Journal of Material Processing Technology, 209, (2009) 1512–1520. Robert LM, Richard FG, Dallas T, James LH (2003). “Statistical Design and Analysis of Experiments with Applications to Engineering and nd Science”, (2 Edition), A John Wiley and Sons Publication. Sameh SH (2009). Study of the Parameters in Electrical Discharge Machining Through Response Surface Methodology Approach”, Applied Mathematical Modelling, 33, 4397–4407 Sen M, Shan HS (2007). Electro Jet Drilling Using Hybrid NNGA Approach”, Robot and Computer Integrated Manufacturing 23, 17– 24. Seung-Han Y, J. Srinivas A, Sekar M, Dong-Mok L, Sree B (2009). Optimization of Electric Discharge Machining Using Simulated Annealing”, J. Mater. Processing Technol., 209, 4471–4475. Snoyes R, Van Dijck F (1971). Investigations of EDM Operations by Means of Thermo Mathematical Models”, Annals of CIRP, 20, (1), 35. Su JC, Kao JY, Tarng YS (2004) Optimisation of the Electrical Discharge Machining Process Using a GA-Based Neural Network”, Int. J. Adv. Manufacturing Technol., 24, 81–90. Sushant Dhar A, Rajesh Purohit A, Nishant Saini A, Akhil Sharma A, Hemath Kumarb G Mathematical Modeling of Electric Discharge Machining of Cast Al–4Cu–6Si Alloy–10 wt.% SiCP (2007).Composites”, J. Mater. Processing Technol., 194, 24–29 Wang K, Hirpa L, Gelgele Yi W, Qingfeng Y, Minglung F (2003). A Hybrid Intelligent Method for Modelling the EDM Process, International Journal of Machine Tools and Manufacture 43, 995– 999. Yan BH, Huang FY, Chow HM, Tsai JY (1999). Micro-Hole Machining of Carbide by Electric Discharge Machining”, J. Mater. Processing Technol., 87,139–145 Yanga SH, Srinivas J, Mohana S, Lee DK, Balaji S, Optimization of Electric Discharge Machining Using Simulated Annealing”, (2009), doi:10.1016/j.jmatprotec.2008.10.053 Young-Cheol A Young-Seup C (2009). Numerical Analysis of the Electro-Discharge Machining Process for Alumina-Titanium Carbide Composite II”, Unsteady State Approach, KoreanZ Chemical Engineering, 19, (4). Yusuf K (2006). An Experimental Study for Determination of the Effects of Machining Parameters on Surface Roughness in Electrical Discharge Machining (EDM)”, International Journal Advanced Manufacturing Technology, 28, 30-31.