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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 550
STUDY ON THE EFFECTS OF CERAMIC PARTICULATES (SIC, AL2O3
AND CENOSPHERE) ON SLIDING WEAR BEHAVIOUR OF
ALUMINIUM MATRIX COMPOSITES USING TAGUCHI DESIGN AND
NEURAL NETWORK
Kiran Kumar Ekka1
, S. R. Chauhan2
, Varun3
1, 2, 3
Department of Mechanical Engineering, National Institute of Technology, Hamirpur, HP, India-177005
kiran2803@gmail.com
Abstract
This paper investigates the sliding wear behaviour of three different composites. Three different reinforcements are under taken for
this study namely SiC, Al2O3 and Cenosphere. Along with it percentage reinforcement is also varied from 8wt% to 16wt.%. Other
factors applied normal load and sliding speed are also considered. Taguchi design of experimental technique is employed for the
study of sliding wear. It is observed that SiC reinforced composites show better wear resistance than Al2O3 and Cenosphere
reinforced composites. Regression and artificial neural network (ANN) is used to develop a model to predict the wear loss. It is
observed that artificial neural network is more efficient than regression.
Keywords: A. Metal-matrix composites (MMCs); B.Wear; C.Taguchi D. Nueral Network
----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTION
Aluminium matrix composites (AMC) have been an area of
research since past decades due to its novel properties. These
AMCs have better wear resistance than its base alloy. Hence
these AMCs which are light in weight compared to steels and
cast iron have found applications in cylinder blocks, cylinder
liners, brake drum, connecting rods etc. where wear resistance
is a matter of great concern [1,2]. Several attempts were made
to study the wear behaviour of aluminium and AMCs [3-5]. In
general, AMCs showed better wear resistance than aluminium
alloys. Various soft and hard reinforcements are added to
increase the wear resistance of aluminium alloys. Some
reinforcement used are SiC, Al2O3, TiO2, glass, WC, flyash
etc [6, 7]. Many researchers have stated that the increase in the
wear resistance of AMCs is attributed to the presence of hard
particles [8] and the formation of mechanical mixed layer [9-
12] which prevents the direct contact of the matrix alloy and
the counter face.
Various factors which affect the wear rate are applied normal
load, sliding speed, sliding distance, particle size etc. Various
researchers have stated the influence of these factors on wear
rate. Sahin [13] conducted an abrasive wear test on AMC with
5-10wt.% SiCp content with 32-64µm reinforcement size.
Factorial design of experiments was used to determine the
contribution of applied normal load, sliding distance and
abrasive size. It was concluded that wear rate of the
composites increased with increasing abrasive size, applied
normal load and sliding distance when SiC emery paper was
used. When Al2O3 emery paper was used the wear rate
increased with increasing abrasive size and applied normal
load but decreased with increasing sliding distance. Mondal et
al. [14] studied the two body abrasive wear behaviour of AMC
with 10wt.% Al2O3 at different loads(1N-7N) and abrasive
sizes (30-80 µm). They concluded that the dominating factor
was applied normal load controlling the wear behaviour of
composite. Basavarajapa et al. [15] studied the dry sliding
wear behaviour of AMC reinforced with SiC and graphite
particles using Taguchi technique. The wear parameters
chosen for the experiment were sliding speed, applied normal
load and sliding distance. They concluded that sliding distance
and applied normal load are major factors determining wear.
In the above studies either factorial design or Taguchi design
was used. The number of test runs needed for a full factorial
design increases exponentially that consumes much time and
cost. Fractional design can substantially reduce the time
needed to investigate the wear behaviour of composites.
Taguchi design of experiments simplifies the fractional
factorial design by the use of orthogonal array. Hence Taguchi
method provides an efficient and systematic approach to
optimize designs for quality cost and performance. For this
reason Taguchi method has been used for wide range of
industrial applications globally[16,17].
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 551
For the prediction of wear many models based on statistical
regression techniques have been developed. The use of
artificial neural network represents a new methodology apart
from statistical regression technique. ANN was used
extensively by many researchers to predict the mechanical,
tribological and physical properties of metal matrix
composites[18,19]. Altinkok and Koker [20] predicted the
tensile strength and density of AMCs reinforced with SiC and
Al2O3. The results shows that the properties of AMCs have
been predicted with an acceptable accuracy by the use of
neural network. Ganesan et al. [21] have demonstrated the
application of neural network for obtaining the processing
map for AMCs reinforced with 15 vol.% SiC in hot working
process. The performance of neural network was found to be
satisfactory as the flow stress were predicted with an accuracy
of ±8%. Genel et al. [22] confirmed that the prediction
through neural network could be feasible as there was a good
correlation with experimental results. The degree of accuracy
of prediction of specific wear rate and coefficient of friction
were 94.2% and 99.4% respectively. In view of the above
discussion it can be concluded that ANN is an excellent tool
which could save considerably cost and time.
In this study, an attempt has been made to investigate the
effects of different reinforcements (SiC, Al2O3 and
Cenosphere), percentage reinforcement, applied normal load
and sliding speed on the dry sliding wear behaviour of
different composites using Taguchi design of experimental
technique. The analysis of variance was employed to find out
the percentage contribution of each factor and its interaction
on dry sliding wear of composites. ANN was used to develop
a model for the prediction of wear rate and was compared with
regression models.
2. EXPERIMENTAL DETAILS
2.1 Experimental Method
Aluminium alloy 7075 composites with different
reinforcement were fabricated using stir casting technique. In
this technique the aluminium alloy was melted in the open
mouth electric resistance furnace at a temperature between
800˚C- 850˚C. The mixing of the particle was attained by
adding particles in the vortex formed in the melt by the help of
mechanical stirrer. Stirring was done before and after mixing
of particles to ensure uniform mixing throughout the melt. The
particles were preheated in a muffle furnace upto 800˚C for
2hrs before adding it to the melt. After the mixing process the
melt was cast into metal dies of dimensions Ø15x 150mm.
The average size of reinforcement was 60 µm. Optical
micrograph of 12wt.% SiC, Al2O3 and Cenosphere is shown in
figure 1.
2.2 Sliding Wear Test
To study the dry sliding wear behaviour of aluminium alloy
composites at room temperature, a pin-on-disc wear testing
machine of Ducom was used. The wear tests were carried out
as per ASTM G99-05 standard. The wear specimens of the
composite were machined to dimensions of Ø8 x 50mm. The
wear tests were carried out at applied normal load in the range
of 35N to 75N in steps of 20N. The sliding speed was varied
from 1.5m/s to 3m/s in the steps of 0.75m/s. The sliding
distance was kept constant at 2500m. After each test the worn
surfaces of the specimen were removed by facing operation to
a depth of 0.5mm. The disc surface and the specimen were
polished with 400,600, 800, and 1200 grit emery paper in
sequence so as to expose a fresh surface for each test. This is
to ensure uniformity for all test conditions. Before and after
each test the specimens were weighed using an electronic
balance of ±0.01mg accuracy. The wear rate was calculated in
terms of volume.
3. DESIGN OF EXPERIMENT
For design of experiment Taguchi method has been employed
as it is a powerful tool for design of high quality systems[23-
25]. Taguchi's approach of optimum design is determined by
using design of experiment principles which mainly has three
phases: planning phase, designing experiments and analyzing
results. Out of these planning phase is the most important
phase. In this firsthand knowledge of the project is discussed
and factors to be included in the study is carefully analyzed.
The number of repetitions and factor levels are also decided in
this phase. For conducting experiments Taguchi uses standard
orthogonal arrays. The criterion for selecting an orthogonal
array is that the degree of freedom of orthogonal array should
be equal to or more than the sum of the degree of freedoms of
factors and their interactions considered [26-28].
For this study four factors namely reinforcement(A),
percentage reinforcement(B), applied normal load(C) and
sliding speed(D) are being considered. Along with it three
interactions viz (AxB), (AxC) and (BxC) are also being
considered. For four factors and three degree of freedom the
appropriate orthogonal array is L27 which has 26 degree of
freedom and 13 columns. The factors and their levels are
shown in table1. The linear graph for L27 array is shown in
figure 2 . The plan of experiment is as follows: The first
column was designated to reinforcement(A), the second
column to percentage reinforcement(B), fifth column to
load(C) and ninth column to sliding speed (D). For the study
of interaction between reinforcement(A) and percentage
reinforcement(B), third and fourth column was designated to
(AxB)1 and (AxB)2 respectively. For the study of interaction
between reinforcement(A) and applied normal load(C), sixth
and seventh column was designated to (AxC)1 and (AxC)2
respectively. For the study of interaction between percentage
reinforcement(B) and applied normal load(C), eighth and tenth
column were designated to (BxC)1 and (BxC)2 respectively.
The remaining columns were assigned to error columns. The
L27 array has 27 runs compared to 81 runs in full factorial
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 552
method. This brings out the efficiency of Taguchi method. The
experimental layout using L27 array is shown in Table 2.
4. RESULTS OF TAGUCHI METHOD
Table 3 shows the experimental results of wear loss. Table 4
shows the response table for S/N ratio of wear. It is observed
that the factor reinforcement (A) has the highest influence on
the wear followed by applied normal load(C) and percentage
reinforcement (B). The factor sliding speed(D) has the least
influence on wear. Figure 3 shows the main effect plot for S/N
ratio for wear. From the figure it can be concluded that factor
combination A1B1C1D2 gives lowest wear rate. Figures 4, 5
and 6 show the interaction graph of AxB, AxC and BxC. The
interaction AxC is the most influential as the S/N ratio is
higher compared to other interactions. Table 5 shows the
analysis of variance. It is observed that factor reinforcement
(A) has the most influence on wear with percentage
contribution of 53.64% followed by factor applied normal
load(C) with percentage contribution of 21.85%. Factor
percentage reinforcement(B) and sliding speed(D) has no
significant effect as their percentage contribution is
comparatively less. The interaction can be neglected as the
percentage contribution is less than the residual error.
5. CONFIRMATION TEST OF TAGUCHI
METHOD
The confirmation test is the final step in the Taguchi analysis.
The purpose of this test is to validate the conclusions inferred
from the analysis. The predictive equation is computed taking
into consideration the interactions and ANOVA analysis.
Based on the above discussions estimated optimal S/N ratio
for wear considering factors can be computed as:
w = + 1 + 1 + 2-3 w (1)
Where w is the overall mean S/N ratio of the wear, , 1, 1,
and 2 are average S/N values with parameters at optimal
level. The S/N ratio value is found out to be -10.34 dB. Table
6 shows the experimental and the predicted values.
The confidence interval (C.I), for the predicted S/N ratio at
optimum condition can be calculated using the following
equation:
C.I.= (2)
F(1,fe) = the F ratio at 95% confidence level at DOF 1 and
error DOF fe
Ve= Variance of error term
Ne
=
Using values Ve =6.72 (from the ANOVA table 5), fe=6, Ne=3
and F0.05(1,6)=5.9874(from F-table) the C.I. was calculated.
The confidence interval C.I. = 1.21. The predicted optimal
S/N ratio for wear is -10.34dB. Therefore the optimum wear is
-10.34 ±1.21 at 95% confidence level. This confirms that the
predicted experimental value is within acceptable range.
6. REGRESSION ANALYSIS
Equations 3 4 and 5 show the regression equations for wear
for SiC, Al2O3 and Cenosphere reinforced composites
respectively. Where KS, KA and Kc are wear for for SiC, Al2O3
and Cenosphere reinforced composite respectively. The values
of wear were normalized and a regression equations for the
normalized values were developed. The R- value of the
regression equation was 0.81. The regression equation had to
be developed separately for each reinforcement as R-value for
a common regression equation had a lower R-value. Following
are the regression equations:
KS= -0.189164 + 0.0146642*percentage reinforcement +
0.00666506*Load - 0.0277332*sliding speed (3)
KA= -0.176652 + 0.0146642*percentage reinforcement +
0.00666506*Load - 0.0277332*sliding speed (4)
Kc= 0.222931 + 0.0146642*percentage reinforcement +
0.00666506*Load - 0.0277332*sliding speed (5)
7. MODELLING OF BACK PROPAGATION
NEURAL NETWORK
In this paper multilayer feed forward network with back
propagation learning algorithm is used.. The input layer
consists of 4 neural cells, corresponding to material,
percentage reinforcement, applied normal load and sliding
speed. The output layer consisted of one neural cell
corresponding to weight loss. The program code was
generated using MATLAB software. The number of neurons
in the hidden layer was chosen to be 10. The number of
samples used for training validation and testing were taken to
be 80%, 10% and 10% respectively. Figure 7 shows the mean
squared error (MSE) of training, test and validation samples.
Figure 8 shows regression plot for MSE of training, validation
and test samples. Generally the R-value will be higher for the
samples used for training, it is the R-value of test samples
which determines whether the network is acceptable. The R-
value is always desired to be closer to 1. The R-value for test
samples was 0.93 and overall R-value for all samples was
0.94. This shows a good correlation between the experimental
value and network response. Hence this trained network was
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 553
used to predict the weight loss of the entire network. Figure 9
shows the regression plot for the same. It is seen that the R
value is equal to 0.95 which is acceptable. It is suggested that
the trained network could be used for the prediction of mass
loss for dry sliding wear for the given parameters range.
Graphs for the predicted normalized values of wear using both
regression and artificial neural network was developed.
Figure10 and Figure 11shows the predicted and experimental
values for regression and ANN respectively. It is observed that
ANN is more efficient in predicting the experimental value
more efficiently.
CONCLUSIONS
The Taguchi method was applied to investigate the effects of
different reinforcements (SiC, Al2O3 and Cenosphere),
percentage reinforcement, applied normal load and sliding
speed. ANOVA analysis was also employed of to find out
percentage contribution of each factor considered. A model
was also developed for the prediction of wear using ANN and
compared with a model based on regression. From the above
study following can be concluded:
i) The use of orthogonal array in Taguchi method is
suitable to statistically analyze the wear behaviour of
composites with various reinforcements namely SiC,
Al2O3 and Cenosphere.
ii) SiC reinforced composite is the most efficient
compared to Al2O3 and Cenosphere reinforced
composite with regard to sliding wear.
iii) The optimal setting for minimum wear was found out
using Taguchi Method. The factor combination for
minimum wear are: SiC particles as reinforcement,
with 8wt.% reinforcement, at 35N applied normal
load and at 2.25m/s sliding speed.
iv) The deviations between actual and predicted S/N
ratios for minimum wear lies within the confidence
interval at 95% confidence level.
v) ANOVA analysis showed that the factor
reinforcement and applied normal load were the most
influential on wear with percentage contribution of
53.64% and 21.85% respectively.
vi) Both regression and ANN models were developed for
the prediction of wear. It was observed that ANN
model was more efficient than regression model.
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List of Tables:
Table: 1 Factors and their levels
Table: 2 Experimental Layout of L27 orthogonal array
Table: 3 Experimental results for wear loss
Table:4 Response table for signal to noise ratio for wear
Table: 5 Analysis of Variance for S/N ratio
Table:6 Predicted and experimental results for S/N ratio for wear
Table 1 Factors and their levels
Table 2 Experimental Layout of L27 orthogonal array
Factor Unit Symbol Level 1 Level 2 Level 3
Reinforcement - A SiC Al2O3 CEN
Percentage
reinforcement
% B 8 12 16
Load N C 35 55 75
Sliding Speed m/sec D 1.5 2.25 3.00
A B (AxB)1 (AxB)2 C (AxC)1 (AxC)2 (BxC)1 D (BxC)2 - - -
Exp.No 1 2 3 4 5 6 7 8 9 10 11 12 13
1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 1 1 1 2 2 2 2 2 2 2 2 2
3 1 1 1 1 3 3 3 3 3 3 3 3 3
4 1 2 2 2 1 1 1 2 2 2 3 3 3
5 1 2 2 2 2 2 2 3 3 3 1 1 1
6 1 2 2 2 3 3 3 1 1 1 2 2 2
7 1 3 3 3 1 1 1 3 3 3 2 2 2
8 1 3 3 3 2 2 2 1 1 1 3 3 3
9 1 3 3 3 3 3 3 2 2 2 1 1 1
10 2 1 2 3 1 2 3 1 2 3 1 2 3
11 2 1 2 3 2 3 1 2 3 1 2 3 1
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 555
Table 3 Experimental results for wear loss
12 2 1 2 3 3 1 2 3 1 2 3 1 2
13 2 2 3 1 1 2 3 2 3 1 3 1 2
14 2 2 3 1 2 3 1 3 1 2 1 2 3
15 2 2 3 1 3 1 2 1 2 3 2 3 1
16 2 3 1 2 1 2 3 3 1 2 2 3 1
17 2 3 1 2 2 3 1 1 2 3 3 1 2
18 2 3 1 2 3 1 2 2 3 1 1 2 3
19 3 1 3 2 1 3 2 1 3 2 1 3 2
20 3 1 3 2 2 1 3 2 1 3 2 1 3
21 3 1 3 2 3 2 1 3 2 1 3 2 1
22 3 2 1 3 1 3 2 2 1 3 3 2 1
23 3 2 1 3 2 1 3 3 2 1 1 3 2
24 3 2 1 3 3 2 1 1 3 2 2 1 3
25 3 3 2 1 1 3 2 3 2 1 2 1 3
26 3 3 2 1 2 1 3 1 3 2 3 2 1
27 3 3 2 1 3 2 1 2 1 3 1 3 2
Sl. No A B C D Wear (mm3
)
S/N
Ratio(dB)
1 SiC 8 35 2.25 2.87 -9.15
2 SiC 8 55 1.5 6.27 -15.94
3 SiC 8 75 3 4.11 -12.28
4 SiC 12 35 1.5 5.70 -15.12
5 SiC 12 55 3 5.54 -14.87
6 SiC 12 75 2.25 7.89 -17.94
7 SiC 16 35 3 6.35 -16.05
8 SiC 16 55 2.25 4.03 -12.10
9 SiC 16 75 1.5 11.66 -21.34
10 Al2O3 8 35 1.5 3.30 -10.36
11 Al2O3 8 55 3 7.49 -17.49
12 Al2O3 8 75 2.25 9.29 -19.36
13 Al2O3 12 35 3 4.07 -12.20
14 Al2O3 12 55 2.25 7.42 -17.41
15 Al2O3 12 75 1.5 6.26 -15.93
16 Al2O3 16 35 2.25 4.50 -13.06
17 Al2O3 16 55 1.5 5.59 -14.94
18 Al2O3 16 75 3 8.84 -18.93
19 CEN 8 35 3 5.76 -15.21
20 CEN 8 55 2.25 11.87 -21.49
21 CEN 8 75 1.5 20.78 -26.35
22 CEN 12 35 2.25 9.00 -19.09
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 556
Table 4 Response table for signal to noise ratio for wear
Level A B C D
1 -14.98 -16.40 -14.88 -18.40
2 -15.52 -17.78 -17.94 -17.24
3 -22.68 -19.00 -20.36 -17.54
Delta 7.70 2.60 5.48 1.16
Rank 1 3 2 4
Table 5 Analysis of Variance for S/N ratio
Source DF Seq SS Adj SS Adj MS F P
A 2 332.874 332.874 166.437 24.77 53.65
B 2 30.345 30.345 15.173 2.26 4.89
C 2 135.596 135.596 67.798 10.09 21.85
D 2 6.496 6.496 3.248 0.48 1.05
A*B 4 22.414 22.414 5.603 0.83 3.61
A*C 4 13.842 13.842 3.461 0.51 2.23
B*C 4 38.571 38.571 9.643 1.43 6.22
Residual
Error
6 40.319 40.319 6.720 6.50
Total 26 620.457
Table 6 Predicted and experimental results for S/N ratio for wear
Optimal Control parameters
Predicted Experimental % error
Level A1B1C1D2 A1B1C1D2
S/N ratio for
wear
-10.34 -9.85 4.97
List of Figures:
Figure1: Optical micrograph of composite specimen (a) 12wt.% SiC (b)12wt.% AL2O3 (c) 12wt% Cenosphere
Figure 2 Linear Graph for L27 array
Figure 3 Main effect plot for S/N ratio for wear
Figure 4 Interaction graph (AxB)
Figure 5 Interaction graph (AxC)
Figure 6 Interaction graph (BxC)
Figure 7 The variation of mean squared error (MSE)
Figure 8 Overall Regression plot for trained network with number of epochs.
Figure 9 Overall Regression plot for simulated network
Figure 10 Comparison of experimental results with ANN predicted values
Figure 11 Comparison of experimental results with regression predicted values
23 CEN 12 55 1.5 12.42 -21.88
24 CEN 12 75 3 18.95 -25.55
25 CEN 16 35 1.5 15.33 -23.71
26 CEN 16 55 3 18.42 -25.30
27 CEN 16 75 2.25 18.96 -25.56
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
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Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 557
Fig.1 Optical micrograph of composite specimen (a) 12wt.% SiC (b)12wt.% Al2O3 (c) 12wt% Cenosphere
Fig 2 Linear Graph for L27 array
CENAl2O3SiC
-14
-16
-18
-20
-22
16128
755535
-14
-16
-18
-20
-22
3.002.251.50
A
MeanofS/Nratios
B
C D
Main Effects Plot for S/N ratios
Data Means
Signal-to-noise: Smaller is better
CENAl2O3SiC
-12
-14
-16
-18
-20
-22
-24
-26
A
S/Nratios
8
12
16
B
Interaction Plot for SN ratios
Data Means
Signal-to-noise: Smaller is better
Fig.3 Main effect plot for S/N ratio for wear Fig.4 Interaction graph (AxB)
CENAl2O3SiC
-10
-12
-14
-16
-18
-20
-22
-24
-26
A
S/Nratios
35
55
75
C
Interaction Plot for SN ratios
Data Means
Signal-to-noise: Smaller is better
16128
-12
-14
-16
-18
-20
-22
B
S/Nratios
35
55
75
C
Interaction Plot for S/N ratios
Data Means
Signal-to-noise: Smaller is better
Fig.5 Interaction graph (AxC) Fig.6 Interaction graph (BxC)
A(1)
B(2) C(5)
(3, 4) (6, 7)
(8, 10)
(13)D(9) (12)(11)
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 558
Fig.7 The variation of mean squared error (MSE) with number of epochs. Fig.8 Overall Regression plot for trained network
Fig.9 Overall Regression plot for simulated network
Fig.10 Comparison of experimental results with ANN predicted values
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 559
Fig.11 Comparison of experimental results with regression predicted values

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Effect of Ceramic Particles on Wear of Aluminium Matrix Composites

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 550 STUDY ON THE EFFECTS OF CERAMIC PARTICULATES (SIC, AL2O3 AND CENOSPHERE) ON SLIDING WEAR BEHAVIOUR OF ALUMINIUM MATRIX COMPOSITES USING TAGUCHI DESIGN AND NEURAL NETWORK Kiran Kumar Ekka1 , S. R. Chauhan2 , Varun3 1, 2, 3 Department of Mechanical Engineering, National Institute of Technology, Hamirpur, HP, India-177005 kiran2803@gmail.com Abstract This paper investigates the sliding wear behaviour of three different composites. Three different reinforcements are under taken for this study namely SiC, Al2O3 and Cenosphere. Along with it percentage reinforcement is also varied from 8wt% to 16wt.%. Other factors applied normal load and sliding speed are also considered. Taguchi design of experimental technique is employed for the study of sliding wear. It is observed that SiC reinforced composites show better wear resistance than Al2O3 and Cenosphere reinforced composites. Regression and artificial neural network (ANN) is used to develop a model to predict the wear loss. It is observed that artificial neural network is more efficient than regression. Keywords: A. Metal-matrix composites (MMCs); B.Wear; C.Taguchi D. Nueral Network ----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTION Aluminium matrix composites (AMC) have been an area of research since past decades due to its novel properties. These AMCs have better wear resistance than its base alloy. Hence these AMCs which are light in weight compared to steels and cast iron have found applications in cylinder blocks, cylinder liners, brake drum, connecting rods etc. where wear resistance is a matter of great concern [1,2]. Several attempts were made to study the wear behaviour of aluminium and AMCs [3-5]. In general, AMCs showed better wear resistance than aluminium alloys. Various soft and hard reinforcements are added to increase the wear resistance of aluminium alloys. Some reinforcement used are SiC, Al2O3, TiO2, glass, WC, flyash etc [6, 7]. Many researchers have stated that the increase in the wear resistance of AMCs is attributed to the presence of hard particles [8] and the formation of mechanical mixed layer [9- 12] which prevents the direct contact of the matrix alloy and the counter face. Various factors which affect the wear rate are applied normal load, sliding speed, sliding distance, particle size etc. Various researchers have stated the influence of these factors on wear rate. Sahin [13] conducted an abrasive wear test on AMC with 5-10wt.% SiCp content with 32-64µm reinforcement size. Factorial design of experiments was used to determine the contribution of applied normal load, sliding distance and abrasive size. It was concluded that wear rate of the composites increased with increasing abrasive size, applied normal load and sliding distance when SiC emery paper was used. When Al2O3 emery paper was used the wear rate increased with increasing abrasive size and applied normal load but decreased with increasing sliding distance. Mondal et al. [14] studied the two body abrasive wear behaviour of AMC with 10wt.% Al2O3 at different loads(1N-7N) and abrasive sizes (30-80 µm). They concluded that the dominating factor was applied normal load controlling the wear behaviour of composite. Basavarajapa et al. [15] studied the dry sliding wear behaviour of AMC reinforced with SiC and graphite particles using Taguchi technique. The wear parameters chosen for the experiment were sliding speed, applied normal load and sliding distance. They concluded that sliding distance and applied normal load are major factors determining wear. In the above studies either factorial design or Taguchi design was used. The number of test runs needed for a full factorial design increases exponentially that consumes much time and cost. Fractional design can substantially reduce the time needed to investigate the wear behaviour of composites. Taguchi design of experiments simplifies the fractional factorial design by the use of orthogonal array. Hence Taguchi method provides an efficient and systematic approach to optimize designs for quality cost and performance. For this reason Taguchi method has been used for wide range of industrial applications globally[16,17].
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 551 For the prediction of wear many models based on statistical regression techniques have been developed. The use of artificial neural network represents a new methodology apart from statistical regression technique. ANN was used extensively by many researchers to predict the mechanical, tribological and physical properties of metal matrix composites[18,19]. Altinkok and Koker [20] predicted the tensile strength and density of AMCs reinforced with SiC and Al2O3. The results shows that the properties of AMCs have been predicted with an acceptable accuracy by the use of neural network. Ganesan et al. [21] have demonstrated the application of neural network for obtaining the processing map for AMCs reinforced with 15 vol.% SiC in hot working process. The performance of neural network was found to be satisfactory as the flow stress were predicted with an accuracy of ±8%. Genel et al. [22] confirmed that the prediction through neural network could be feasible as there was a good correlation with experimental results. The degree of accuracy of prediction of specific wear rate and coefficient of friction were 94.2% and 99.4% respectively. In view of the above discussion it can be concluded that ANN is an excellent tool which could save considerably cost and time. In this study, an attempt has been made to investigate the effects of different reinforcements (SiC, Al2O3 and Cenosphere), percentage reinforcement, applied normal load and sliding speed on the dry sliding wear behaviour of different composites using Taguchi design of experimental technique. The analysis of variance was employed to find out the percentage contribution of each factor and its interaction on dry sliding wear of composites. ANN was used to develop a model for the prediction of wear rate and was compared with regression models. 2. EXPERIMENTAL DETAILS 2.1 Experimental Method Aluminium alloy 7075 composites with different reinforcement were fabricated using stir casting technique. In this technique the aluminium alloy was melted in the open mouth electric resistance furnace at a temperature between 800˚C- 850˚C. The mixing of the particle was attained by adding particles in the vortex formed in the melt by the help of mechanical stirrer. Stirring was done before and after mixing of particles to ensure uniform mixing throughout the melt. The particles were preheated in a muffle furnace upto 800˚C for 2hrs before adding it to the melt. After the mixing process the melt was cast into metal dies of dimensions Ø15x 150mm. The average size of reinforcement was 60 µm. Optical micrograph of 12wt.% SiC, Al2O3 and Cenosphere is shown in figure 1. 2.2 Sliding Wear Test To study the dry sliding wear behaviour of aluminium alloy composites at room temperature, a pin-on-disc wear testing machine of Ducom was used. The wear tests were carried out as per ASTM G99-05 standard. The wear specimens of the composite were machined to dimensions of Ø8 x 50mm. The wear tests were carried out at applied normal load in the range of 35N to 75N in steps of 20N. The sliding speed was varied from 1.5m/s to 3m/s in the steps of 0.75m/s. The sliding distance was kept constant at 2500m. After each test the worn surfaces of the specimen were removed by facing operation to a depth of 0.5mm. The disc surface and the specimen were polished with 400,600, 800, and 1200 grit emery paper in sequence so as to expose a fresh surface for each test. This is to ensure uniformity for all test conditions. Before and after each test the specimens were weighed using an electronic balance of ±0.01mg accuracy. The wear rate was calculated in terms of volume. 3. DESIGN OF EXPERIMENT For design of experiment Taguchi method has been employed as it is a powerful tool for design of high quality systems[23- 25]. Taguchi's approach of optimum design is determined by using design of experiment principles which mainly has three phases: planning phase, designing experiments and analyzing results. Out of these planning phase is the most important phase. In this firsthand knowledge of the project is discussed and factors to be included in the study is carefully analyzed. The number of repetitions and factor levels are also decided in this phase. For conducting experiments Taguchi uses standard orthogonal arrays. The criterion for selecting an orthogonal array is that the degree of freedom of orthogonal array should be equal to or more than the sum of the degree of freedoms of factors and their interactions considered [26-28]. For this study four factors namely reinforcement(A), percentage reinforcement(B), applied normal load(C) and sliding speed(D) are being considered. Along with it three interactions viz (AxB), (AxC) and (BxC) are also being considered. For four factors and three degree of freedom the appropriate orthogonal array is L27 which has 26 degree of freedom and 13 columns. The factors and their levels are shown in table1. The linear graph for L27 array is shown in figure 2 . The plan of experiment is as follows: The first column was designated to reinforcement(A), the second column to percentage reinforcement(B), fifth column to load(C) and ninth column to sliding speed (D). For the study of interaction between reinforcement(A) and percentage reinforcement(B), third and fourth column was designated to (AxB)1 and (AxB)2 respectively. For the study of interaction between reinforcement(A) and applied normal load(C), sixth and seventh column was designated to (AxC)1 and (AxC)2 respectively. For the study of interaction between percentage reinforcement(B) and applied normal load(C), eighth and tenth column were designated to (BxC)1 and (BxC)2 respectively. The remaining columns were assigned to error columns. The L27 array has 27 runs compared to 81 runs in full factorial
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 552 method. This brings out the efficiency of Taguchi method. The experimental layout using L27 array is shown in Table 2. 4. RESULTS OF TAGUCHI METHOD Table 3 shows the experimental results of wear loss. Table 4 shows the response table for S/N ratio of wear. It is observed that the factor reinforcement (A) has the highest influence on the wear followed by applied normal load(C) and percentage reinforcement (B). The factor sliding speed(D) has the least influence on wear. Figure 3 shows the main effect plot for S/N ratio for wear. From the figure it can be concluded that factor combination A1B1C1D2 gives lowest wear rate. Figures 4, 5 and 6 show the interaction graph of AxB, AxC and BxC. The interaction AxC is the most influential as the S/N ratio is higher compared to other interactions. Table 5 shows the analysis of variance. It is observed that factor reinforcement (A) has the most influence on wear with percentage contribution of 53.64% followed by factor applied normal load(C) with percentage contribution of 21.85%. Factor percentage reinforcement(B) and sliding speed(D) has no significant effect as their percentage contribution is comparatively less. The interaction can be neglected as the percentage contribution is less than the residual error. 5. CONFIRMATION TEST OF TAGUCHI METHOD The confirmation test is the final step in the Taguchi analysis. The purpose of this test is to validate the conclusions inferred from the analysis. The predictive equation is computed taking into consideration the interactions and ANOVA analysis. Based on the above discussions estimated optimal S/N ratio for wear considering factors can be computed as: w = + 1 + 1 + 2-3 w (1) Where w is the overall mean S/N ratio of the wear, , 1, 1, and 2 are average S/N values with parameters at optimal level. The S/N ratio value is found out to be -10.34 dB. Table 6 shows the experimental and the predicted values. The confidence interval (C.I), for the predicted S/N ratio at optimum condition can be calculated using the following equation: C.I.= (2) F(1,fe) = the F ratio at 95% confidence level at DOF 1 and error DOF fe Ve= Variance of error term Ne = Using values Ve =6.72 (from the ANOVA table 5), fe=6, Ne=3 and F0.05(1,6)=5.9874(from F-table) the C.I. was calculated. The confidence interval C.I. = 1.21. The predicted optimal S/N ratio for wear is -10.34dB. Therefore the optimum wear is -10.34 ±1.21 at 95% confidence level. This confirms that the predicted experimental value is within acceptable range. 6. REGRESSION ANALYSIS Equations 3 4 and 5 show the regression equations for wear for SiC, Al2O3 and Cenosphere reinforced composites respectively. Where KS, KA and Kc are wear for for SiC, Al2O3 and Cenosphere reinforced composite respectively. The values of wear were normalized and a regression equations for the normalized values were developed. The R- value of the regression equation was 0.81. The regression equation had to be developed separately for each reinforcement as R-value for a common regression equation had a lower R-value. Following are the regression equations: KS= -0.189164 + 0.0146642*percentage reinforcement + 0.00666506*Load - 0.0277332*sliding speed (3) KA= -0.176652 + 0.0146642*percentage reinforcement + 0.00666506*Load - 0.0277332*sliding speed (4) Kc= 0.222931 + 0.0146642*percentage reinforcement + 0.00666506*Load - 0.0277332*sliding speed (5) 7. MODELLING OF BACK PROPAGATION NEURAL NETWORK In this paper multilayer feed forward network with back propagation learning algorithm is used.. The input layer consists of 4 neural cells, corresponding to material, percentage reinforcement, applied normal load and sliding speed. The output layer consisted of one neural cell corresponding to weight loss. The program code was generated using MATLAB software. The number of neurons in the hidden layer was chosen to be 10. The number of samples used for training validation and testing were taken to be 80%, 10% and 10% respectively. Figure 7 shows the mean squared error (MSE) of training, test and validation samples. Figure 8 shows regression plot for MSE of training, validation and test samples. Generally the R-value will be higher for the samples used for training, it is the R-value of test samples which determines whether the network is acceptable. The R- value is always desired to be closer to 1. The R-value for test samples was 0.93 and overall R-value for all samples was 0.94. This shows a good correlation between the experimental value and network response. Hence this trained network was
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 553 used to predict the weight loss of the entire network. Figure 9 shows the regression plot for the same. It is seen that the R value is equal to 0.95 which is acceptable. It is suggested that the trained network could be used for the prediction of mass loss for dry sliding wear for the given parameters range. Graphs for the predicted normalized values of wear using both regression and artificial neural network was developed. Figure10 and Figure 11shows the predicted and experimental values for regression and ANN respectively. It is observed that ANN is more efficient in predicting the experimental value more efficiently. CONCLUSIONS The Taguchi method was applied to investigate the effects of different reinforcements (SiC, Al2O3 and Cenosphere), percentage reinforcement, applied normal load and sliding speed. ANOVA analysis was also employed of to find out percentage contribution of each factor considered. A model was also developed for the prediction of wear using ANN and compared with a model based on regression. From the above study following can be concluded: i) The use of orthogonal array in Taguchi method is suitable to statistically analyze the wear behaviour of composites with various reinforcements namely SiC, Al2O3 and Cenosphere. ii) SiC reinforced composite is the most efficient compared to Al2O3 and Cenosphere reinforced composite with regard to sliding wear. iii) The optimal setting for minimum wear was found out using Taguchi Method. The factor combination for minimum wear are: SiC particles as reinforcement, with 8wt.% reinforcement, at 35N applied normal load and at 2.25m/s sliding speed. iv) The deviations between actual and predicted S/N ratios for minimum wear lies within the confidence interval at 95% confidence level. v) ANOVA analysis showed that the factor reinforcement and applied normal load were the most influential on wear with percentage contribution of 53.64% and 21.85% respectively. vi) Both regression and ANN models were developed for the prediction of wear. It was observed that ANN model was more efficient than regression model. REFERENCES [1]. P.K. Rohatgi, “Metal Matrix Composites,” J. Defence Sci.1993;43:323-349. [2]. J.W. Kaczmar, K. Pietrzak, W. Włosin´ ski, The production and application of metal matrix composite materials, J. Mater. Process. Technol. 2000;106: 58–67. [3]. A.T. Alpas, J. 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Straffelini G., Experimental observations of subsurface damage and oxidative wear in Al-based metal-matrix composites, Wear 2000; 245 :216–222. [10.] Venkataraman B., Sundararajan G., The sliding wear behavior of Al–SiC particulate composites. II. The characerization of subsurface deformation and correlation with behaviour, Acta Mater. 1996;44 (2): 461–473. [11]. Sraffelini G., Bonollo F., Molinari A., Tiziani A., Influence of matrix hardness on the dry sliding behavior of 20 vol.% Al2O3- particulate-reinforced 6061 Al metal matrix composite, Wear 1997; 211: 192–197. [12]. How HC., Baker TN., Characterisation of sliding friction-induced subsurface deformation of saffil-reinforced AA6061 composites, Wear 1999;232: 106–115. [13]. Sahin Y., Wear behavior of aluminium alloy and its composites reinforced by SiC particles using statistical analysis. Mat.and Des. 2003;24:95–103. [14]. Mondal DP., Das S, Jha AK, Yegneswaran AH. Abrasive wear of Al alloy–Al2O3 particle composite: a study on the combined effect of load and size of abrasive. Wear 1998;223:131–138. [15]. Basavarajappa S., Chandramohan G., Davim JP. Application of Taguchi techniques to study dry sliding wear behaviour of metal matrix composites Mat. and Des. 2007;28: 1393–1398 [16]. Nalbant M, Gokkaya H, Sur G. Application of Taguchi method in the optimization of cutting parameters for surface roughness in turning. Mater Des 2007;28 : 1379–1385. [17]. Ross PJ. Taguchi techniques for quality engineering: loss function, orthogonal experiments, parameter and tolerance design. 2nd ed. McGraw-Hill: Springer; 1989 [ISBN: 0-07- 053866-2]. [18]. Bhadeshia HKDH., Neural networks in materials science. ISIJ Int; 1999;39(10): 966–79.
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 554 [19]. Aleksendric D., Duboka C., Fade performance prediction of automotive friction materials by means of artificial neural networks, Wear 2007; 262: 778–790. [20]. Altinkok N, Koker R. Modelling of the prediction of tensile and density properties in particle reinforced metal matrix composites by using neural networks. Mater Des 2005;11: 1005–1011. [21]. Ganesan G, Raghukandan K, Karthikeyan R, Pai BC. Development of processing map for 6061 Al/15%SiCp through neural networks. J. Mater Process Technol 2005;8: 525–31. [22]. Genel K, Kurnaz SC, Durman M. Modeling of tribological properties of alumina fiber reinforced zinc– aluminium composites using artificial neural network. Mater Sci Eng A 2003;363: 203–210. [23]. Taguchi G, Konishi S. Taguchi methods, orthogonal arrays and linear graphs, tools for quality engineering. Dearborn, MI: American Supplier Institute (1987) 35–38. [24]. Taguchi G. Taguchi on robust technology development methods. New York, NY: ASME Press (1993) 1–40. [25]. Ross Phillip J. Taguchi technique for quality engineering. New York: McGraw-Hill; 1988. [26]. Roy Ranjit K. A primer on Taguchi method. New York: Van Nostrad Reinhold; 1990. [27]. Paulo Davim J. An experimental study of tribological behaviour of the brass/steel pair. J Mater Process Technol 2000;100:273–279. [28]. Paulo Davim J. Design optimization of cutting parameters for turning metal matrix composites based on the orthogonal arrays. J Mater Process Technol 2003;132:340– 344. List of Tables: Table: 1 Factors and their levels Table: 2 Experimental Layout of L27 orthogonal array Table: 3 Experimental results for wear loss Table:4 Response table for signal to noise ratio for wear Table: 5 Analysis of Variance for S/N ratio Table:6 Predicted and experimental results for S/N ratio for wear Table 1 Factors and their levels Table 2 Experimental Layout of L27 orthogonal array Factor Unit Symbol Level 1 Level 2 Level 3 Reinforcement - A SiC Al2O3 CEN Percentage reinforcement % B 8 12 16 Load N C 35 55 75 Sliding Speed m/sec D 1.5 2.25 3.00 A B (AxB)1 (AxB)2 C (AxC)1 (AxC)2 (BxC)1 D (BxC)2 - - - Exp.No 1 2 3 4 5 6 7 8 9 10 11 12 13 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 3 3 3 3 3 3 3 3 4 1 2 2 2 1 1 1 2 2 2 3 3 3 5 1 2 2 2 2 2 2 3 3 3 1 1 1 6 1 2 2 2 3 3 3 1 1 1 2 2 2 7 1 3 3 3 1 1 1 3 3 3 2 2 2 8 1 3 3 3 2 2 2 1 1 1 3 3 3 9 1 3 3 3 3 3 3 2 2 2 1 1 1 10 2 1 2 3 1 2 3 1 2 3 1 2 3 11 2 1 2 3 2 3 1 2 3 1 2 3 1
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 555 Table 3 Experimental results for wear loss 12 2 1 2 3 3 1 2 3 1 2 3 1 2 13 2 2 3 1 1 2 3 2 3 1 3 1 2 14 2 2 3 1 2 3 1 3 1 2 1 2 3 15 2 2 3 1 3 1 2 1 2 3 2 3 1 16 2 3 1 2 1 2 3 3 1 2 2 3 1 17 2 3 1 2 2 3 1 1 2 3 3 1 2 18 2 3 1 2 3 1 2 2 3 1 1 2 3 19 3 1 3 2 1 3 2 1 3 2 1 3 2 20 3 1 3 2 2 1 3 2 1 3 2 1 3 21 3 1 3 2 3 2 1 3 2 1 3 2 1 22 3 2 1 3 1 3 2 2 1 3 3 2 1 23 3 2 1 3 2 1 3 3 2 1 1 3 2 24 3 2 1 3 3 2 1 1 3 2 2 1 3 25 3 3 2 1 1 3 2 3 2 1 2 1 3 26 3 3 2 1 2 1 3 1 3 2 3 2 1 27 3 3 2 1 3 2 1 2 1 3 1 3 2 Sl. No A B C D Wear (mm3 ) S/N Ratio(dB) 1 SiC 8 35 2.25 2.87 -9.15 2 SiC 8 55 1.5 6.27 -15.94 3 SiC 8 75 3 4.11 -12.28 4 SiC 12 35 1.5 5.70 -15.12 5 SiC 12 55 3 5.54 -14.87 6 SiC 12 75 2.25 7.89 -17.94 7 SiC 16 35 3 6.35 -16.05 8 SiC 16 55 2.25 4.03 -12.10 9 SiC 16 75 1.5 11.66 -21.34 10 Al2O3 8 35 1.5 3.30 -10.36 11 Al2O3 8 55 3 7.49 -17.49 12 Al2O3 8 75 2.25 9.29 -19.36 13 Al2O3 12 35 3 4.07 -12.20 14 Al2O3 12 55 2.25 7.42 -17.41 15 Al2O3 12 75 1.5 6.26 -15.93 16 Al2O3 16 35 2.25 4.50 -13.06 17 Al2O3 16 55 1.5 5.59 -14.94 18 Al2O3 16 75 3 8.84 -18.93 19 CEN 8 35 3 5.76 -15.21 20 CEN 8 55 2.25 11.87 -21.49 21 CEN 8 75 1.5 20.78 -26.35 22 CEN 12 35 2.25 9.00 -19.09
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 556 Table 4 Response table for signal to noise ratio for wear Level A B C D 1 -14.98 -16.40 -14.88 -18.40 2 -15.52 -17.78 -17.94 -17.24 3 -22.68 -19.00 -20.36 -17.54 Delta 7.70 2.60 5.48 1.16 Rank 1 3 2 4 Table 5 Analysis of Variance for S/N ratio Source DF Seq SS Adj SS Adj MS F P A 2 332.874 332.874 166.437 24.77 53.65 B 2 30.345 30.345 15.173 2.26 4.89 C 2 135.596 135.596 67.798 10.09 21.85 D 2 6.496 6.496 3.248 0.48 1.05 A*B 4 22.414 22.414 5.603 0.83 3.61 A*C 4 13.842 13.842 3.461 0.51 2.23 B*C 4 38.571 38.571 9.643 1.43 6.22 Residual Error 6 40.319 40.319 6.720 6.50 Total 26 620.457 Table 6 Predicted and experimental results for S/N ratio for wear Optimal Control parameters Predicted Experimental % error Level A1B1C1D2 A1B1C1D2 S/N ratio for wear -10.34 -9.85 4.97 List of Figures: Figure1: Optical micrograph of composite specimen (a) 12wt.% SiC (b)12wt.% AL2O3 (c) 12wt% Cenosphere Figure 2 Linear Graph for L27 array Figure 3 Main effect plot for S/N ratio for wear Figure 4 Interaction graph (AxB) Figure 5 Interaction graph (AxC) Figure 6 Interaction graph (BxC) Figure 7 The variation of mean squared error (MSE) Figure 8 Overall Regression plot for trained network with number of epochs. Figure 9 Overall Regression plot for simulated network Figure 10 Comparison of experimental results with ANN predicted values Figure 11 Comparison of experimental results with regression predicted values 23 CEN 12 55 1.5 12.42 -21.88 24 CEN 12 75 3 18.95 -25.55 25 CEN 16 35 1.5 15.33 -23.71 26 CEN 16 55 3 18.42 -25.30 27 CEN 16 75 2.25 18.96 -25.56
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 557 Fig.1 Optical micrograph of composite specimen (a) 12wt.% SiC (b)12wt.% Al2O3 (c) 12wt% Cenosphere Fig 2 Linear Graph for L27 array CENAl2O3SiC -14 -16 -18 -20 -22 16128 755535 -14 -16 -18 -20 -22 3.002.251.50 A MeanofS/Nratios B C D Main Effects Plot for S/N ratios Data Means Signal-to-noise: Smaller is better CENAl2O3SiC -12 -14 -16 -18 -20 -22 -24 -26 A S/Nratios 8 12 16 B Interaction Plot for SN ratios Data Means Signal-to-noise: Smaller is better Fig.3 Main effect plot for S/N ratio for wear Fig.4 Interaction graph (AxB) CENAl2O3SiC -10 -12 -14 -16 -18 -20 -22 -24 -26 A S/Nratios 35 55 75 C Interaction Plot for SN ratios Data Means Signal-to-noise: Smaller is better 16128 -12 -14 -16 -18 -20 -22 B S/Nratios 35 55 75 C Interaction Plot for S/N ratios Data Means Signal-to-noise: Smaller is better Fig.5 Interaction graph (AxC) Fig.6 Interaction graph (BxC) A(1) B(2) C(5) (3, 4) (6, 7) (8, 10) (13)D(9) (12)(11)
  • 9. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 558 Fig.7 The variation of mean squared error (MSE) with number of epochs. Fig.8 Overall Regression plot for trained network Fig.9 Overall Regression plot for simulated network Fig.10 Comparison of experimental results with ANN predicted values
  • 10. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 559 Fig.11 Comparison of experimental results with regression predicted values