IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 65
EFFECT OF MACHINING PARAMETERS ON SURFACE ROUGHNESS
FOR 6063 AL-TIC (5 & 10 %) METAL MATRIX COMPOSITE USING RSM
P. R. Patel1
, B. B. Patel2
, V. A. Patel3
1 Department of Mechanical Engineering, L. D. College of engineering, Ahmedabad, pragneshpatel27@yahoo.com
2 Department of Mechanical Engineering Sankalchand Patel college of Engg.Visnagar, bbpatel.mech@spcevng.ac.in
3 Department of Mechanical Engineering Sankalchand Patel college of EnggVisnagar, vapatel.mech@spcevng.ac.in
Abstract
Metal matrix Composites are new class of material which offers superior Properties over alloys. Problem associated with MMCs is
that they are very difficult to machine and quality of machining specially surface finish due to the hardness and abrasive nature of
Carbide particles. Characteristics of machined surfaces are known to influence the product performance significantly since they are
directly linked to the ability of the material to withstand stresses, temperature, friction and corrosion. This paper presents an
experimental work on the analysis of machined surface quality on 6063 Al/TiC metal matrix composites with PCD insert in hard
turning leading to Response surface methodology based model to predict the surface roughness.
Index Terms: Metal matrix composite, Surface Roughness, Response surface methodology.
-----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTION
Increasing quantities of metal matrix composites (MMCs) are
being used to replace conventional materials in many
applications, especially in the automobile and recreational
industries. The most popular types of MMCs are aluminum
alloys reinforcing with ceramic particles. These low cost
composites provide higher strength, stiffness and fatigue
resistance with a minimal increase in density over the base
alloy [1]. Al–TiC belongs to the new generation of particulate
reinforced aluminium alloy based metal-matrix composites
(MMCs). Particle reinforced metal-matrix composites are
likely to find high commercial application due to their low
cost, ease of fabrication and improved properties. The
practical applications of Al–TiC metal-matrix composites are
in aerospace, automobile and structural industries [2]. A
continuing problem with MMCs is that they are difficult to
machine, due to the hardness and abrasive nature of the TiC or
other reinforcing particles. The particles used in MMCs are
harder than tungsten carbide (WC), the main constituent of
hard metal and even than most of the cutting tool materials.
Diamond is exception, for instance, which is approximately
three to four times harder than hard metal [3]. That’s why
PCD tool was used as wear resistive tool in order to achieve
desire surface finish.
Caroline J.E. Andrewes, Hsi-Yung Feng, W.M. Lau et al. [4]
were carried out to machine a DuralcanAL/SiC composite
using Kennametal's PCD and CVD diamond inserts. The
present results indicate that crater wear may not be a main
concern to the diamond inserts due to the very low coefficient
of friction and the high thermal conductivity of diamonds.
YanmingQuan, Bangyan Ye et al. [5] investigated the
hardness and residual stress of composites in the surface layer
affected by machining. The results indicate that the work
hardening and residual stress of composites in the machined
surface layer have some peculiarities. Mariam S. El-Gallab,
Mateusz P. Skladet al. [6] developed 3D thermo-mechanical
finite element model of the machined composite workpiece.
The model is used to predict the effect of the different cutting
parameters on the workpiece subsurface damage produced due
to machining. The modelpredicts high localized stresses in the
matrix material around the SiC reinforcement particles,
leading to matrix cracking. ShibenduShekhar Roy et al. [7]
design an expert system using two soft computing tools,
namely fuzzy logic and genetic algorithm, so that the surface
finish in ultra-precision diamond turning of metal matrix
composite can be modeled for set of given cutting parameters,
namely spindle speed, feed rate and depth of cut.
Ultra-precision turning tests on SiCp/2024Al and
SiCp/ZL101A composites were carried out to investigate the
surface quality using single point diamond tools (SPDT) and
polycrystalline diamond (PCD) cutters. Examined by SEM
and AFM, the machined surfaces took on many defects such
as pits, voids, micro cracks, grooves, protuberances, matrix
tearing and so on. It was found that cutting parameters, tool
material and geometries, particle reinforcement’ size and
distribution, reinforcement’ volume fraction and cooling
conditions all had a significant effect on the surface integrity
when ultra-precision turning [8]. N. Muthukrishnan, M.
Murugan& K. PrahladaRao et al. [9] presents the results of an
experimental investigation on the machinability of fabricated
aluminum metal matrix composite (A356/SiC/10p) during
continuous turning of composite rods using medium grade
polycrystalline diamond (PCD 1500) inserts. MMC’s are very
difficult to machine and PCD tools are considered by far, the
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
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Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 66
best choice for the machining of these materials. A. Pramanik,
L. C. Zhang, J. A. Arsecularatne et al. [10] investigated
experimentally the effects of reinforcement particles on the
machining of MMCs. The major findings are: (a) the surface
residual stresses on the machined MMC are compressive; (b)
the surface roughness is controlled by feed; (c) particle pull-
out influences the roughness when feed is low; (d) particles
facilitate chip breaking and affect the generation of residual
stresses; and (e) the shear and friction angles depend
significantly on feed but are almost independent of speed.
Rajesh Kumar Bhushan&Sudhir Kumar & S. Das et al. [11]
investigated the influence of cutting speed, depth of cut, and
feed rate on surface roughness during machining of 7075 Al
alloy and 10 wt.% SiC particulate metal-matrix composites.
The experiments were conducted on a CNC Turning Machine
using tungsten carbide and polycrystalline diamond (PCD)
inserts. Surface roughness of 7075Al alloy with 10 wt.%SiC
composite during machining by tungsten carbide tool was
found to be lower than PCD.
Not much work to be done in the area of machinability of
composite materials particularly Al–TiC. MMCs in general are
difficult to machine (turning, milling, drilling, threading and
shaping) due to their hardness and abrasive nature of
reinforced particles. The objective of the present work is,
therefore, to evaluate the machining behaviour of these
composites (Al–TiC).
2. EXPERIMENTAL DETAILS
2.1 Workpiece and cutting tool
Table 1 physical and Mechanical properties of 6063Al-TiC
Properties Material
Al alloy 5
% TiC
Al alloy 10
% TiC
Density (Kg/m3) 2632 2734
Hardness (BHN) 95 113
Modulas Elasticity (Gpa) 77 82
Tensile Strength yield
strength (Mpa)
103 127
Tensile Strength Ultm
strength (Mpa)
140 152
% Elongation 3 1
The work material selected for the study was 6063 Al alloy 5
% TiC MMC and 6063 Al alloy 10% TiC MMC of cylinder
bars (36 mm Diameter and 200 mm length). Table 1 show the
physical and mechanical properties of 6063 Al alloy TiC. The
chemical composition of this material kept confidential.
The cutting tool selected for machining of Al-TiC Metal
matrix composites was polycrystalline diamond insert of fine
grade (2000), because it had been found that PCD tool is best
choice for machining of MMCs due to its high wear
resistance. The cutting tool used had PCD insert: ISO coding
DCMW 11T304. The Characteristics of insert are as follows:
Average particles Size - 10μm, Volume fraction of Diamond –
89 to 93 %, Transverse Rapture strength - 2.20 GPa, Knoop
hardness at 3 Kg load - 8378.5 kg/mm2
.
2.2 Experimental procedure
The cutting inserts were clamped on a right-hand tool holder
with ISO designation PCLNR 25×25 M12. The clamping of
the insert on the tool holder resulted in -60
rake angle, -60
clearance angle, and 930
approach angle. The turning tests on
the workpiece were conducted under dry conditions on an
Engine lathe having spindle power of 2 Kw.
The surface roughness of the machined samples was measured
with a surface roughness analyzer (Mitutoyo, surftest set no:
178-923e) with a cut-off length of 0.8mm over three sampling
lengths. The average value of surface roughness (Ra) was used
to quantify the roughness achieved on machined surfaces.
2.3 Design of experiments
In order to investigate the influence of machining conditions
on surface roughness - cutting speed, feed rate and depth of
cut were selected as the input parameters. The RSM was
employed to quantify the relationship between the individual
response factors and the input machining parameters of the
following form:
Y= f (A, B, C)
Where Y is the desired response and F is the response function
or response surface.
RSM is a collection of mathematical and statistical techniques
that are useful for modeling and analysis of problems in which
the response of interest is influenced by several variables and
objective is to optimize this response [12]. In order to design
the experimental plan, full factorial method was chosen to
determine the relationship between four operating variables
namely cutting speed, feed rate and depth of cut. In order to
study the effects of the EDM parameters on the above
mentioned machining criteria, second order polynomial
response surface mathematical models can be developed. In
the general case, the response surface is described by an
equation of the form:
    

k
i
k
i
r
ji
jiijiiiii xxxxY
1 1
2
2
2
0 
Where Y is the corresponding response, ix is the input
variables, ixi
2
and ji xx are the squares and interaction terms,
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 67
respectively, of these input variables. The unknown regression
coefficients are iji  ,0 , and ii .
Table 2: Process parameters and their levels
Factors Level 1 Level 2 Level 3
Cutting Speed (m/min) 170 103 63
Feed Rate (mm/rev) 0.107 0.215 0.313
Depth of cut (mm) 0.3 0.6 0.9
3. RESULTS AND DISCUSSION
In order to design the experimental plan, full factorial design
in design of Experiment with three levels and three factors was
used. According to this 33 Design, total 27 No of experimental
run was Conducted as shown in table 3.
Table 3: Experimental Plan with Results of Surface
Roughness for 6063 Al alloy 5 % and 10 %
Exp.
run
Process Parameters
5 %
TiC
10 %
TiC
Cutting
Speed
Feed
Rate
Depth
of cut
Surface
Roughness, Ra
m/min mm/rev mm μm μm
1 170 0.107 0.9 1.556 1.628
2 170 0.215 0.9 3.102 3.421
3 170 0.313 0.9 5.014 5.213
4 170 0.107 0.6 1.356 1.582
5 170 0.215 0.6 2.918 3.196
6 170 0.313 0.6 4.818 5.134
7 170 0.107 0.3 1.098 1.168
8 170 0.215 0.3 2.645 3.201
9 170 0.313 0.3 4.627 5.162
10 103 0.107 0.9 2.456 1.943
11 103 0.215 0.9 3.842 5.628
12 103 0.313 0.9 5.703 7.316
13 103 0.107 0.6 2.110 1.617
14 103 0.215 0.6 3.713 5.219
15 103 0.313 0.6 5.543 7.137
16 103 0.107 0.3 1.846 1.537
17 103 0.215 0.3 3.281 4.618
18 103 0.313 0.3 5.172 6.943
19 63 0.107 0.9 2.843 2.617
20 63 0.215 0.9 4.431 5.813
21 63 0.313 0.9 6.826 7.631
22 63 0.107 0.6 2.546 2.273
23 63 0.215 0.6 4.343 5.774
24 63 0.313 0.6 6.512 7.218
25 63 0.107 0.3 1.914 1.905
26 63 0.215 0.3 3.214 5.267
27 63 0.313 0.3 6.327 6.751
The unknown coefficients are determined from the
experimental data as presented in Table-3. The standard errors
on estimation of the coefficients are tabulated in the column
SE coef.
Table 4: Estimated Regression Coefficients for Surface
Roughness (5 % TiC)
Term Coef SE Coef T P
Constant 0.8995 0.72489 1.241 0.232
Cutting Speed (A) -0.0116 0.00820 -1.409 0.177
Feed Rate (B) 6.1732 3.74735 1.647 0.118
Depth of cut (C) 3.4548 1.27204 2.716 0.015
A×A 0.0000 0.00003 1.138 0.271
B×B 36.124 7.94923 4.544 0.000
C×C -1.1241 0.93446 -1.203 0.245
A×B -0.0244 0.01067 -2.287 0.035
A×C -0.0066 0.00367 -1.799 0.090
B×C -1.5169 1.92380 -0.788 0.441
R-Sq = 98.99% R-Sq(pred) = 97.38% R-Sq(adj) = 98.45%
CBCA
BACCBB
CBARa



5169.10066.0
0244.01241.1124.36
4548.31732.60116.08995.0
Table 5: Estimated Regression Coefficients for Surface
Roughness (10 % TiC)
Term Coef SE Coef T P
Constant -4.0706 1.2372 -3.290 0.004
Cutting Speed (A) 0.0262 0.0140 1.874 0.078
Feed rate (B) 46.8025 6.3955 7.318 0.000
Depth of cut (C) 2.2464 2.1710 1.035 0.315
A×A -0.0001 0.0001 -1.930 0.070
B×B -39.098 13.5668 -2.882 0.010
C×C -0.3321 1.5948 -0.208 0.838
A×B -0.0641 0.0182 -3.516 0.003
A×C -0.0075 0.0063 -1.192 0.250
B×C -0.7091 3.2833 -0.216 0.832
R-Sq = 98.26% R-Sq(pred) = 95.69% R-Sq(adj) = 97.34%
CBCABA
CCBBAA
CBARa



7091.00075.00641.0
3321.00986.390001.0
2464.28025.460262.00706.4
It is important to check the adequacy of the fitted model,
because an incorrect or under-specified model can lead to
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 68
misleading conclusions. By checking the fit of the model one
can check whether the model is under specified. The model
adequacy checking includes the test for significance of the
regression model, model coefficients, and lack of fit, which is
carried out subsequently using ANOVA on the curtailed
model (Table-6, 7).
Table 6: Analysis of Variance for Surface Roughness (5 %
TiC)
Source D
F
Seq
SS
Adj
SS
Adj
MS
F P
Regression 9 70.361 70.361 7.817 184.2 0.000
Linear 3 68.983 0.5271 0.175 4.14 0.022
Square 3 0.9928 0.9927 0.330 7.80 0.002
Interaction 3 0.3857 0.3857 0.128 3.03 0.058
Residual
Error
1
7
0.7215 0.7214 0.042
Total 2
6
71.083
Table 7: Analysis of Variance for Surface Roughness (10
% TiC)
Source D
F
Seq SS Adj SS Adj
MS
F P
Regressio
n
9 118.60 118.60 13.177 106.6 0.00
Linear 3 115.39 6.8144 2.2714 18.38 0.00
Square 3 1.493 1.4926 0.4975 4.02 0.02
Interaction 3 1.710 1.7097 0.5699 4.61 0.01
Residual
Error
1
7
2.101 2.1014 0.1236
Total 2
6
120.70
Fig- 1a:Predicted vs. experimental SR for 5% TiC
Fig- 1b: Predicted vs. experimental SR for 10% TiC
SR obtained from the experiment is compared with the
predicted value calculated from the model in Fig. 1. Since all
the points on plot come close to form a straight line, it implies
that the data are normal. It can be seen that the regression
model is reasonably well fitted with the observed values.
Fig- 2a: Plot of residuals vs. fitted value for 5% TiC
Fig- 2b: Plot of residuals vs. fitted value for 10% TiC
0
2
4
6
8
0 2 4 6 8
PredictedRa(µm)
Experimental Ra(µm)
0
2
4
6
8
10
0 2 4 6 8 10
PredictedRa(µm)
Experimental Ra(µm)
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 69
In addition, the plot of the residues verse predicted SR
illustrates that there is no noticeable pattern or unusual
structure present in the data as depicted in Fig 2.
Since hard turning is sought to be used as a replacement of
grinding, the major focus of research is to find cutting
conditions for which desired surface roughness can be
achieved. Hence, the contour plots of the surface roughness in
feed rate, depth of cut and cutting speed for 5% and 10 % are
shown in Figs 3-5 and Fig. 6-8 respectively.
Fig- 3:Effect of Depth of Cut & Cutting Speed on SR
Fig. 3 shows the estimated response surface for Surface
Roughness in relation to the process parameters of depth of cut
and cutting speed while feed rate remain constant at their
middle value. It can be seen from the figure, the SR tends to
increase significantly with the increase in Depth of cut for any
value of Cutting speed. However, the SR tends to decrease
with increase in Cutting speed, especially at higher Cutting
speed.
Fig- 4: Effect of Depth of Cut & Feed Rate on SR
Fig. 4 shows the estimated response surface for Surface
Roughness in relation to the process parameters of depth of cut
and feed rate while cutting speed remains constant at their
middle value. It can be seen from the figure, the SR tends to
increase significantly with the increase in Feed rate for any
value of depth of cut.
Fig- 5:Effect of Feed Rate & Cutting Speed on SR
Fig. 5 shows the best surface roughness is achieved with the
combination of lowest feed rate and highest cutting speed, as
reported by earlier investigators. The surface roughness does
not vary much with feed rate at low cutting speed ranges, but
tends to increase almost linearly with increasing feed rate at
higher cutting speed.
The effect of workpiece hardness on surface roughness is of
statistical importance. It is clearly shown from the results that
Surface roughness decreases in 10 % TiC.
Fig- 6:Effect of Depth of Cut & Cutting Speed on SR
Figs. 6–8clearly show that a good surface finish can be
achieved for any level of cutting speed, when feed rate is low
and depth of cut is low as mentioned in 5% TiC.
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 70
Fig-7:Effect of Depth of Cut & Feed Rate on SR
Fig-8: Effect of Feed Rate & Cutting Speed on SR
CONCLUSIONS
In this paper, RSM was applied to develop mathematical
models of surface roughness in order to investigate the
influence of machining parameters during finish turning of
6063 Al/TiC metal matrix composite with a PCD insert. The
experimental study has led to the following conclusions.
 In majority of results, surface finish of workpiece
having 5 % TiC is better than workpiece having 10 %
TiC.
 Surface roughness model: the feed rate provides
primary contribution and influences most
significantly on the surface roughness. The
interaction between feed rate and depth of cut,
quadratic effect of feed rate and interaction effect of
speed and depth of cut provide secondary
contribution to the model.
 Contour plots can be used for selecting the cutting
parameters for providing the given desired surface
roughness.
 Feed rate is found the most significant effect on
surface roughness. The increase of feed rate increases
the surface roughness.
ACKNOWLEDGEMENTS
The author would like to express their deepest gratitude to
MrVivekshrivastav and MrAnirbanGiri (Ph’d, Assistant
Manager, Aditya Birla Science & Technology Company Ltd)
for providing the test material for research work.
REFERENCES
[1] R.Venkatesh, A.M.Hariharan, N.Muthukrishnan,
“Machinability Studies of Al/SiC/ (20p) MMC by Using PCD
Insert (1300 grade)”Proceedings of the World Congress on
Engineering (2009).
[2] Ram NareshRai, G.L. Datta,M. Chakraborty, A.B.
Chattopadhyay“A study on the machinability behaviour of Al–
TiC compositeprepared by in situ technique” Materials
Science and Engineering (2006) 428:34-40.
[3] J. Paulo Davim, “Diamond tool performance in machining
metal–matrix composites” Journal of Materials Processing
Technology(2002)128:100-105.
[4] Caroline J.E. Andrewesa, Hsi-Yung Fenga,, W.M. Laub
“Machining of an aluminum/SiCcomposite using diamond
inserts” Journal of Materials Processing
Technology(2000)102:25-29.
[5] YanmingQuan, Bangyan Ye, “The effect of machining on
the surface properties of SiC/Al composites” Journal of
Materials Processing Technology (2003) 138:464–467.
[6]Mariam S. El-Gallab, Mateusz P. Sklad b, “Machining of
aluminum/silicon carbideparticulate metal matrix
compositesPart IV. Residual stresses in the machined
workpiece” Journal of Materials Processing Technology
(2004) 152:23-34.
[7]ShibenduShekhar Roy “Design of genetic-fuzzy expert
system for predicting surface finish inultra-precision diamond
turning of metal matrix composite” Journal of Materials
Processing Technology (2006) 173:337-344.
[8]Y.F.Ge, J.H.Xu, H.Yang, S.B.Luo, Y.C.Fu, “Workpiece
surface quality when ultra-precision turning of SiCp/AL
Composites” Journal of material processing technology”
(2008) 203:166-175.
[9]N. Muthukrishnan,M. Murugan,K. PrahladaRao,
“Machinability issues in turning of Al-SiC (10p) metal
matrix composites” International Journal of Advance
Manufacturing Technology (2008) 39:211–218.
[10]A.Pramanik, L.C.Zhang, J.A.Arsecularatne,
“Effectofceramicparticlesonresidualstress,surfaceroughnessan
dchipformation” International
JournalofMachineTools&Manufacture(2008)48:1613–1625.
[11] Rajesh Kumar Bhushan,SudhirKumar,S. Das, “Effect of
machining parameters on surface roughnessand tool wear for
7075 Al alloy SiC composite” International Journal of
Advance Manufacturing Technology (2010) 50:459-469.
[12] D. C. Montgomery. “Design and analysis of
experiments” John willy and Sons Inc, 2001.
IJRET: International Journal of Research in Engineering and Technology ISSN: 2319-1163
__________________________________________________________________________________________
Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 71
BIOGRAPHIES:
Pragnesh R. Patel is an ad-hoc assistant
professor of the Mechanical Engineering
Department, L. D. College of Engineering,
Ahmedabad. Author has
published/presented 2
National/International papers in various
journals/conferences.
Bhargav B Patel is an assistant professor
of the Mechanical Engineering
Department, Sankalchand Patel College of
Engineering, Visnagar. Author has five
years of teaching and research experience.
Author has published/presented 7
National/International papers in various
journals/conferences and one book
published in LAP, Germany.
Vikram A Patel is an assistant professor
of the Mechanical Engineering
Department, Sankalchand Patel College of
Engineering, Visnagar. Author has
thirteen years of teaching and research
experience. Author has
published/presented 8 National and 6
International papers in various
journals/conferences. Author is Life
member of ISTE.

Effect of machining parameters on surface roughness for 6063 al tic (5 & 10 %) metal matrix composite using rsm

  • 1.
    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 65 EFFECT OF MACHINING PARAMETERS ON SURFACE ROUGHNESS FOR 6063 AL-TIC (5 & 10 %) METAL MATRIX COMPOSITE USING RSM P. R. Patel1 , B. B. Patel2 , V. A. Patel3 1 Department of Mechanical Engineering, L. D. College of engineering, Ahmedabad, pragneshpatel27@yahoo.com 2 Department of Mechanical Engineering Sankalchand Patel college of Engg.Visnagar, bbpatel.mech@spcevng.ac.in 3 Department of Mechanical Engineering Sankalchand Patel college of EnggVisnagar, vapatel.mech@spcevng.ac.in Abstract Metal matrix Composites are new class of material which offers superior Properties over alloys. Problem associated with MMCs is that they are very difficult to machine and quality of machining specially surface finish due to the hardness and abrasive nature of Carbide particles. Characteristics of machined surfaces are known to influence the product performance significantly since they are directly linked to the ability of the material to withstand stresses, temperature, friction and corrosion. This paper presents an experimental work on the analysis of machined surface quality on 6063 Al/TiC metal matrix composites with PCD insert in hard turning leading to Response surface methodology based model to predict the surface roughness. Index Terms: Metal matrix composite, Surface Roughness, Response surface methodology. -----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTION Increasing quantities of metal matrix composites (MMCs) are being used to replace conventional materials in many applications, especially in the automobile and recreational industries. The most popular types of MMCs are aluminum alloys reinforcing with ceramic particles. These low cost composites provide higher strength, stiffness and fatigue resistance with a minimal increase in density over the base alloy [1]. Al–TiC belongs to the new generation of particulate reinforced aluminium alloy based metal-matrix composites (MMCs). Particle reinforced metal-matrix composites are likely to find high commercial application due to their low cost, ease of fabrication and improved properties. The practical applications of Al–TiC metal-matrix composites are in aerospace, automobile and structural industries [2]. A continuing problem with MMCs is that they are difficult to machine, due to the hardness and abrasive nature of the TiC or other reinforcing particles. The particles used in MMCs are harder than tungsten carbide (WC), the main constituent of hard metal and even than most of the cutting tool materials. Diamond is exception, for instance, which is approximately three to four times harder than hard metal [3]. That’s why PCD tool was used as wear resistive tool in order to achieve desire surface finish. Caroline J.E. Andrewes, Hsi-Yung Feng, W.M. Lau et al. [4] were carried out to machine a DuralcanAL/SiC composite using Kennametal's PCD and CVD diamond inserts. The present results indicate that crater wear may not be a main concern to the diamond inserts due to the very low coefficient of friction and the high thermal conductivity of diamonds. YanmingQuan, Bangyan Ye et al. [5] investigated the hardness and residual stress of composites in the surface layer affected by machining. The results indicate that the work hardening and residual stress of composites in the machined surface layer have some peculiarities. Mariam S. El-Gallab, Mateusz P. Skladet al. [6] developed 3D thermo-mechanical finite element model of the machined composite workpiece. The model is used to predict the effect of the different cutting parameters on the workpiece subsurface damage produced due to machining. The modelpredicts high localized stresses in the matrix material around the SiC reinforcement particles, leading to matrix cracking. ShibenduShekhar Roy et al. [7] design an expert system using two soft computing tools, namely fuzzy logic and genetic algorithm, so that the surface finish in ultra-precision diamond turning of metal matrix composite can be modeled for set of given cutting parameters, namely spindle speed, feed rate and depth of cut. Ultra-precision turning tests on SiCp/2024Al and SiCp/ZL101A composites were carried out to investigate the surface quality using single point diamond tools (SPDT) and polycrystalline diamond (PCD) cutters. Examined by SEM and AFM, the machined surfaces took on many defects such as pits, voids, micro cracks, grooves, protuberances, matrix tearing and so on. It was found that cutting parameters, tool material and geometries, particle reinforcement’ size and distribution, reinforcement’ volume fraction and cooling conditions all had a significant effect on the surface integrity when ultra-precision turning [8]. N. Muthukrishnan, M. Murugan& K. PrahladaRao et al. [9] presents the results of an experimental investigation on the machinability of fabricated aluminum metal matrix composite (A356/SiC/10p) during continuous turning of composite rods using medium grade polycrystalline diamond (PCD 1500) inserts. MMC’s are very difficult to machine and PCD tools are considered by far, the
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 66 best choice for the machining of these materials. A. Pramanik, L. C. Zhang, J. A. Arsecularatne et al. [10] investigated experimentally the effects of reinforcement particles on the machining of MMCs. The major findings are: (a) the surface residual stresses on the machined MMC are compressive; (b) the surface roughness is controlled by feed; (c) particle pull- out influences the roughness when feed is low; (d) particles facilitate chip breaking and affect the generation of residual stresses; and (e) the shear and friction angles depend significantly on feed but are almost independent of speed. Rajesh Kumar Bhushan&Sudhir Kumar & S. Das et al. [11] investigated the influence of cutting speed, depth of cut, and feed rate on surface roughness during machining of 7075 Al alloy and 10 wt.% SiC particulate metal-matrix composites. The experiments were conducted on a CNC Turning Machine using tungsten carbide and polycrystalline diamond (PCD) inserts. Surface roughness of 7075Al alloy with 10 wt.%SiC composite during machining by tungsten carbide tool was found to be lower than PCD. Not much work to be done in the area of machinability of composite materials particularly Al–TiC. MMCs in general are difficult to machine (turning, milling, drilling, threading and shaping) due to their hardness and abrasive nature of reinforced particles. The objective of the present work is, therefore, to evaluate the machining behaviour of these composites (Al–TiC). 2. EXPERIMENTAL DETAILS 2.1 Workpiece and cutting tool Table 1 physical and Mechanical properties of 6063Al-TiC Properties Material Al alloy 5 % TiC Al alloy 10 % TiC Density (Kg/m3) 2632 2734 Hardness (BHN) 95 113 Modulas Elasticity (Gpa) 77 82 Tensile Strength yield strength (Mpa) 103 127 Tensile Strength Ultm strength (Mpa) 140 152 % Elongation 3 1 The work material selected for the study was 6063 Al alloy 5 % TiC MMC and 6063 Al alloy 10% TiC MMC of cylinder bars (36 mm Diameter and 200 mm length). Table 1 show the physical and mechanical properties of 6063 Al alloy TiC. The chemical composition of this material kept confidential. The cutting tool selected for machining of Al-TiC Metal matrix composites was polycrystalline diamond insert of fine grade (2000), because it had been found that PCD tool is best choice for machining of MMCs due to its high wear resistance. The cutting tool used had PCD insert: ISO coding DCMW 11T304. The Characteristics of insert are as follows: Average particles Size - 10μm, Volume fraction of Diamond – 89 to 93 %, Transverse Rapture strength - 2.20 GPa, Knoop hardness at 3 Kg load - 8378.5 kg/mm2 . 2.2 Experimental procedure The cutting inserts were clamped on a right-hand tool holder with ISO designation PCLNR 25×25 M12. The clamping of the insert on the tool holder resulted in -60 rake angle, -60 clearance angle, and 930 approach angle. The turning tests on the workpiece were conducted under dry conditions on an Engine lathe having spindle power of 2 Kw. The surface roughness of the machined samples was measured with a surface roughness analyzer (Mitutoyo, surftest set no: 178-923e) with a cut-off length of 0.8mm over three sampling lengths. The average value of surface roughness (Ra) was used to quantify the roughness achieved on machined surfaces. 2.3 Design of experiments In order to investigate the influence of machining conditions on surface roughness - cutting speed, feed rate and depth of cut were selected as the input parameters. The RSM was employed to quantify the relationship between the individual response factors and the input machining parameters of the following form: Y= f (A, B, C) Where Y is the desired response and F is the response function or response surface. RSM is a collection of mathematical and statistical techniques that are useful for modeling and analysis of problems in which the response of interest is influenced by several variables and objective is to optimize this response [12]. In order to design the experimental plan, full factorial method was chosen to determine the relationship between four operating variables namely cutting speed, feed rate and depth of cut. In order to study the effects of the EDM parameters on the above mentioned machining criteria, second order polynomial response surface mathematical models can be developed. In the general case, the response surface is described by an equation of the form:       k i k i r ji jiijiiiii xxxxY 1 1 2 2 2 0  Where Y is the corresponding response, ix is the input variables, ixi 2 and ji xx are the squares and interaction terms,
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 67 respectively, of these input variables. The unknown regression coefficients are iji  ,0 , and ii . Table 2: Process parameters and their levels Factors Level 1 Level 2 Level 3 Cutting Speed (m/min) 170 103 63 Feed Rate (mm/rev) 0.107 0.215 0.313 Depth of cut (mm) 0.3 0.6 0.9 3. RESULTS AND DISCUSSION In order to design the experimental plan, full factorial design in design of Experiment with three levels and three factors was used. According to this 33 Design, total 27 No of experimental run was Conducted as shown in table 3. Table 3: Experimental Plan with Results of Surface Roughness for 6063 Al alloy 5 % and 10 % Exp. run Process Parameters 5 % TiC 10 % TiC Cutting Speed Feed Rate Depth of cut Surface Roughness, Ra m/min mm/rev mm μm μm 1 170 0.107 0.9 1.556 1.628 2 170 0.215 0.9 3.102 3.421 3 170 0.313 0.9 5.014 5.213 4 170 0.107 0.6 1.356 1.582 5 170 0.215 0.6 2.918 3.196 6 170 0.313 0.6 4.818 5.134 7 170 0.107 0.3 1.098 1.168 8 170 0.215 0.3 2.645 3.201 9 170 0.313 0.3 4.627 5.162 10 103 0.107 0.9 2.456 1.943 11 103 0.215 0.9 3.842 5.628 12 103 0.313 0.9 5.703 7.316 13 103 0.107 0.6 2.110 1.617 14 103 0.215 0.6 3.713 5.219 15 103 0.313 0.6 5.543 7.137 16 103 0.107 0.3 1.846 1.537 17 103 0.215 0.3 3.281 4.618 18 103 0.313 0.3 5.172 6.943 19 63 0.107 0.9 2.843 2.617 20 63 0.215 0.9 4.431 5.813 21 63 0.313 0.9 6.826 7.631 22 63 0.107 0.6 2.546 2.273 23 63 0.215 0.6 4.343 5.774 24 63 0.313 0.6 6.512 7.218 25 63 0.107 0.3 1.914 1.905 26 63 0.215 0.3 3.214 5.267 27 63 0.313 0.3 6.327 6.751 The unknown coefficients are determined from the experimental data as presented in Table-3. The standard errors on estimation of the coefficients are tabulated in the column SE coef. Table 4: Estimated Regression Coefficients for Surface Roughness (5 % TiC) Term Coef SE Coef T P Constant 0.8995 0.72489 1.241 0.232 Cutting Speed (A) -0.0116 0.00820 -1.409 0.177 Feed Rate (B) 6.1732 3.74735 1.647 0.118 Depth of cut (C) 3.4548 1.27204 2.716 0.015 A×A 0.0000 0.00003 1.138 0.271 B×B 36.124 7.94923 4.544 0.000 C×C -1.1241 0.93446 -1.203 0.245 A×B -0.0244 0.01067 -2.287 0.035 A×C -0.0066 0.00367 -1.799 0.090 B×C -1.5169 1.92380 -0.788 0.441 R-Sq = 98.99% R-Sq(pred) = 97.38% R-Sq(adj) = 98.45% CBCA BACCBB CBARa    5169.10066.0 0244.01241.1124.36 4548.31732.60116.08995.0 Table 5: Estimated Regression Coefficients for Surface Roughness (10 % TiC) Term Coef SE Coef T P Constant -4.0706 1.2372 -3.290 0.004 Cutting Speed (A) 0.0262 0.0140 1.874 0.078 Feed rate (B) 46.8025 6.3955 7.318 0.000 Depth of cut (C) 2.2464 2.1710 1.035 0.315 A×A -0.0001 0.0001 -1.930 0.070 B×B -39.098 13.5668 -2.882 0.010 C×C -0.3321 1.5948 -0.208 0.838 A×B -0.0641 0.0182 -3.516 0.003 A×C -0.0075 0.0063 -1.192 0.250 B×C -0.7091 3.2833 -0.216 0.832 R-Sq = 98.26% R-Sq(pred) = 95.69% R-Sq(adj) = 97.34% CBCABA CCBBAA CBARa    7091.00075.00641.0 3321.00986.390001.0 2464.28025.460262.00706.4 It is important to check the adequacy of the fitted model, because an incorrect or under-specified model can lead to
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 68 misleading conclusions. By checking the fit of the model one can check whether the model is under specified. The model adequacy checking includes the test for significance of the regression model, model coefficients, and lack of fit, which is carried out subsequently using ANOVA on the curtailed model (Table-6, 7). Table 6: Analysis of Variance for Surface Roughness (5 % TiC) Source D F Seq SS Adj SS Adj MS F P Regression 9 70.361 70.361 7.817 184.2 0.000 Linear 3 68.983 0.5271 0.175 4.14 0.022 Square 3 0.9928 0.9927 0.330 7.80 0.002 Interaction 3 0.3857 0.3857 0.128 3.03 0.058 Residual Error 1 7 0.7215 0.7214 0.042 Total 2 6 71.083 Table 7: Analysis of Variance for Surface Roughness (10 % TiC) Source D F Seq SS Adj SS Adj MS F P Regressio n 9 118.60 118.60 13.177 106.6 0.00 Linear 3 115.39 6.8144 2.2714 18.38 0.00 Square 3 1.493 1.4926 0.4975 4.02 0.02 Interaction 3 1.710 1.7097 0.5699 4.61 0.01 Residual Error 1 7 2.101 2.1014 0.1236 Total 2 6 120.70 Fig- 1a:Predicted vs. experimental SR for 5% TiC Fig- 1b: Predicted vs. experimental SR for 10% TiC SR obtained from the experiment is compared with the predicted value calculated from the model in Fig. 1. Since all the points on plot come close to form a straight line, it implies that the data are normal. It can be seen that the regression model is reasonably well fitted with the observed values. Fig- 2a: Plot of residuals vs. fitted value for 5% TiC Fig- 2b: Plot of residuals vs. fitted value for 10% TiC 0 2 4 6 8 0 2 4 6 8 PredictedRa(µm) Experimental Ra(µm) 0 2 4 6 8 10 0 2 4 6 8 10 PredictedRa(µm) Experimental Ra(µm)
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 69 In addition, the plot of the residues verse predicted SR illustrates that there is no noticeable pattern or unusual structure present in the data as depicted in Fig 2. Since hard turning is sought to be used as a replacement of grinding, the major focus of research is to find cutting conditions for which desired surface roughness can be achieved. Hence, the contour plots of the surface roughness in feed rate, depth of cut and cutting speed for 5% and 10 % are shown in Figs 3-5 and Fig. 6-8 respectively. Fig- 3:Effect of Depth of Cut & Cutting Speed on SR Fig. 3 shows the estimated response surface for Surface Roughness in relation to the process parameters of depth of cut and cutting speed while feed rate remain constant at their middle value. It can be seen from the figure, the SR tends to increase significantly with the increase in Depth of cut for any value of Cutting speed. However, the SR tends to decrease with increase in Cutting speed, especially at higher Cutting speed. Fig- 4: Effect of Depth of Cut & Feed Rate on SR Fig. 4 shows the estimated response surface for Surface Roughness in relation to the process parameters of depth of cut and feed rate while cutting speed remains constant at their middle value. It can be seen from the figure, the SR tends to increase significantly with the increase in Feed rate for any value of depth of cut. Fig- 5:Effect of Feed Rate & Cutting Speed on SR Fig. 5 shows the best surface roughness is achieved with the combination of lowest feed rate and highest cutting speed, as reported by earlier investigators. The surface roughness does not vary much with feed rate at low cutting speed ranges, but tends to increase almost linearly with increasing feed rate at higher cutting speed. The effect of workpiece hardness on surface roughness is of statistical importance. It is clearly shown from the results that Surface roughness decreases in 10 % TiC. Fig- 6:Effect of Depth of Cut & Cutting Speed on SR Figs. 6–8clearly show that a good surface finish can be achieved for any level of cutting speed, when feed rate is low and depth of cut is low as mentioned in 5% TiC.
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 70 Fig-7:Effect of Depth of Cut & Feed Rate on SR Fig-8: Effect of Feed Rate & Cutting Speed on SR CONCLUSIONS In this paper, RSM was applied to develop mathematical models of surface roughness in order to investigate the influence of machining parameters during finish turning of 6063 Al/TiC metal matrix composite with a PCD insert. The experimental study has led to the following conclusions.  In majority of results, surface finish of workpiece having 5 % TiC is better than workpiece having 10 % TiC.  Surface roughness model: the feed rate provides primary contribution and influences most significantly on the surface roughness. The interaction between feed rate and depth of cut, quadratic effect of feed rate and interaction effect of speed and depth of cut provide secondary contribution to the model.  Contour plots can be used for selecting the cutting parameters for providing the given desired surface roughness.  Feed rate is found the most significant effect on surface roughness. The increase of feed rate increases the surface roughness. ACKNOWLEDGEMENTS The author would like to express their deepest gratitude to MrVivekshrivastav and MrAnirbanGiri (Ph’d, Assistant Manager, Aditya Birla Science & Technology Company Ltd) for providing the test material for research work. REFERENCES [1] R.Venkatesh, A.M.Hariharan, N.Muthukrishnan, “Machinability Studies of Al/SiC/ (20p) MMC by Using PCD Insert (1300 grade)”Proceedings of the World Congress on Engineering (2009). [2] Ram NareshRai, G.L. Datta,M. Chakraborty, A.B. Chattopadhyay“A study on the machinability behaviour of Al– TiC compositeprepared by in situ technique” Materials Science and Engineering (2006) 428:34-40. [3] J. Paulo Davim, “Diamond tool performance in machining metal–matrix composites” Journal of Materials Processing Technology(2002)128:100-105. [4] Caroline J.E. Andrewesa, Hsi-Yung Fenga,, W.M. Laub “Machining of an aluminum/SiCcomposite using diamond inserts” Journal of Materials Processing Technology(2000)102:25-29. [5] YanmingQuan, Bangyan Ye, “The effect of machining on the surface properties of SiC/Al composites” Journal of Materials Processing Technology (2003) 138:464–467. [6]Mariam S. El-Gallab, Mateusz P. Sklad b, “Machining of aluminum/silicon carbideparticulate metal matrix compositesPart IV. Residual stresses in the machined workpiece” Journal of Materials Processing Technology (2004) 152:23-34. [7]ShibenduShekhar Roy “Design of genetic-fuzzy expert system for predicting surface finish inultra-precision diamond turning of metal matrix composite” Journal of Materials Processing Technology (2006) 173:337-344. [8]Y.F.Ge, J.H.Xu, H.Yang, S.B.Luo, Y.C.Fu, “Workpiece surface quality when ultra-precision turning of SiCp/AL Composites” Journal of material processing technology” (2008) 203:166-175. [9]N. Muthukrishnan,M. Murugan,K. PrahladaRao, “Machinability issues in turning of Al-SiC (10p) metal matrix composites” International Journal of Advance Manufacturing Technology (2008) 39:211–218. [10]A.Pramanik, L.C.Zhang, J.A.Arsecularatne, “Effectofceramicparticlesonresidualstress,surfaceroughnessan dchipformation” International JournalofMachineTools&Manufacture(2008)48:1613–1625. [11] Rajesh Kumar Bhushan,SudhirKumar,S. Das, “Effect of machining parameters on surface roughnessand tool wear for 7075 Al alloy SiC composite” International Journal of Advance Manufacturing Technology (2010) 50:459-469. [12] D. C. Montgomery. “Design and analysis of experiments” John willy and Sons Inc, 2001.
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    IJRET: International Journalof Research in Engineering and Technology ISSN: 2319-1163 __________________________________________________________________________________________ Volume: 02 Issue: 01 | Jan-2013, Available @ http://www.ijret.org 71 BIOGRAPHIES: Pragnesh R. Patel is an ad-hoc assistant professor of the Mechanical Engineering Department, L. D. College of Engineering, Ahmedabad. Author has published/presented 2 National/International papers in various journals/conferences. Bhargav B Patel is an assistant professor of the Mechanical Engineering Department, Sankalchand Patel College of Engineering, Visnagar. Author has five years of teaching and research experience. Author has published/presented 7 National/International papers in various journals/conferences and one book published in LAP, Germany. Vikram A Patel is an assistant professor of the Mechanical Engineering Department, Sankalchand Patel College of Engineering, Visnagar. Author has thirteen years of teaching and research experience. Author has published/presented 8 National and 6 International papers in various journals/conferences. Author is Life member of ISTE.