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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 68 
EXPERIMENTAL STUDY ON HARDNESS FOR SINTERED SiCP REINFORCED AMMCS USING THE RESPONSE SURFACE METHOD Sujit Das1, P.K.Bardhan2, R.Behera3, S. Patra4, G. Majumdar5, B .Oraon6, G. Sutradhar7 1Research Scholar, Jadavpur University, Kolkata, West Bengal, India 2Professor, Dept. of Mechanical Engineering, JIS College of Engineering, Kalyani, West Bengal, India 3Professor, Dept. of Mechanical Engineering, Seemanta Engineering College, Mayurbhanj, Odisha, India 4Cwiss, IIT Kharagpur, West Bengal, India, 5Professor, Jadavpur University, Kolkata, West Bengal, India 6Professor, Jadavpur University, Kolkata, West Bengal, India 7Professor, Jadavpur University, Kolkata, West Bengal, India Abstract Limited efforts are being made so far to synthesize Al-SiC particle composite using powder metallurgy route and characterize the composites in terms of microstructure, mechanical properties e.g. hardness. The composite shows uniform distribution of SiC particles and good interface bonding between SiC particles and the metallic matrix. The variation of hardness with respect to the variation of process parameters viz. compacting pressure, sintering temperature and sintering time has been observed. To achieve optimum hardness of PMMCs, the percentage of reinforcement materials, compacting pressure, sintering time are considered as the controllable process parameters and related response variable is hardness. A 23 full factorial design of experiments (DOE) was used to collect experimental data to statistically analyze the effect of the process parameters on the hardness of the sintered Al-SiCp composites. It is observed that the weight percentage of SiCp, compacting pressure (Ton), sintering time (minute) strongly influence the response variables, hardness. A second order responses surface model (RSM) has been used to develop a predicting equation of hardness based on the data collected by a statistical design of experiments known as central composite design (CCD). The analysis of variance (ANOVA) shows that the observed data fits well into the assumed second order RSM model. Keywords: Composite, Powder metallurgy, Sintered components, Hardness, Response surface method, Central composite design. 
--------------------------------------------------------------------***------------------------------------------------------------------ 1. INTRODUCTION 
The Development of Technology in automotive manufacturing process has required new solutions adapted for invention of lightweight, non-pollutant materials with a low cost production. The materials which accomplish in many parts are the light weight composites, discontinuous reinforced with ceramic particles, like aluminium based composites [1]. These composites combine the characteristics of aluminium and aluminium alloys matrix (low density in comparison with ferrous materials, good corrosion resistance and machinability) with the characteristics of ceramic particles (e.g. SiCp , TiCp, B4Cp, Al2O3, SiO2, etc.) which improve in special mechanical, tribological and thermal expansion characteristics [1]- [3]. Powder metallurgy (P/M) is one of the best manufacturing process in this regards. Powder metallurgy components are increasingly utilized for soft magnetic materials, automotive and structural applications [4]. Aluminium metal matrix composites (Al-SiCp) MMCs reinforced with hard ceramic particles have emerged as a potential material especially for wear-resistant and weight critical applications such as cylinder blocks, cylinder liners, pistons, brake drums, connecting rods, and so on [5]. It is also observed that the green density and sintered density is a function of powder type and compaction pressure [6]. Investigations also revealed that porosity and densification of P/M product highly influence the hardness and other mechanical properties [7]. Several theoretical & experimental studies reported that response variables of these components depend upon the process parameter viz, compacting pressure, sintering temperature and sintering time. Some other literature demonstrated that the hardness of a component could be modified by varying the alloy elements, particle size and so forth [8-11]. There is also some effect of sintering temperature and sintering time on the hardness of the P/M products which may be due to change of metallic phase and variation in grain size respectively. Present study examines the variation of hardness due to changes in process parameters of sintered aluminium metal matrix composites. The samples were produced by variation of process parameters as per the design of experiment and the response surface method was used to study the variation of hardness. A 23 full factorial design of experiments was used to collect experimental data for statistical analysis of the effect of process parameter on the hardness of the sintered aluminium metal matrix components. A second order responses surface model has been used to develop a predicting equation of
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 69 
hardness based on the data collected by a statistical design of experiments known as central composite design [12-14]. 2. EXPERIMENTAL PROCEDURES 2.1 Production of Metal Matrix Composite 
In this experiment, air atomized aluminium powder (average particle size of 400 mesh) reinforced with SiC particles (average size of 400 mesh) (Figure 1) was used as the test material and. composites of have been fabricated using powder metallurgy technique (Figure 2) are shown. Al powder and SiC powder were blended on a pot mill (diameter 40 mm, height 35 mm) at a constant speed of 1500 rpm for 1.5 hour to produce a homogeneous powder mixture. The powder blending parameters are listed in Table 1. The homogeneous powder Al-SiCp blend was compacted in a closed cylindrical die using 120 Ton hydraulic press (Make: Lawrence & Mayo) for green stage product. The die was lubricated with Zn-stearate. The total experiment is performed according to the design of experiment (DOE). The grain refinement of metal matrix-based composites reinforced by tough particles can interprete by the increased effective extrusion ratio with increasing volume fraction of incompressible reinforcements and the available data have been analyzed by response surface method using Minitab software (version 14). 
Table 1: Powder blending parameters 
Fig 1: Various steps involved in synthesis of Al- SiCp composites in P/M technique Fig 2: Tubular Vacuum Furnace To avoid the oxidation of aluminium powder at high temperature, the degassing and sintering procedures of the green compacts were incorporated together in tubular vacuum furnace (diameter of hot zone 75 mm, length of hot zone 150 mm and maximum temperature 1450°C) using argon as an inert atmosphere (Fig. 2). The stepped heating procedures of the degassing and sintering have introduced into the experiment. 2.2 Microstructural Examination 
The P/M samples sintered at a fixed temperature of 530°C for fixed sintering time of 40 minutes under different compacting pressures, have been prepared and the microstructures (Figure 3) were examined under microscope 
Mixture 
Filling of mixer (vol.%) 
Operation 
R.P.M 
Time (min) 
400mesh pure Al,400mesh SiC and Binder (Zinc Stearate) 
50 
Blending 
1500 
20 
75 
Blending 
1500 
20 
100 
Blending 
1500 
20 
Rest 
10 
Blending 
1500 
20
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 70 
(Olympus, CK40M). The brighter regions of the figure indicate aluminium matrix, while the darker portions indicate SiCp in the specimen. 
Fig 3 Microstructure of Al-SiCp P/M composite specimen at different pressure (a) Compacting pressure 93.63586Ton, Sintering temperature 530°C Sintering time 40 mins; (b) Compacting pressure 80Ton, Sintering temperature 530°C, Sintering time 40 mins; (c) Compacting pressure 60Ton, Sintering temperature 530°C, Sintering time 40 mins; (d) Compacting pressure 40Ton, Sintering temperature 530°C, Sintering time 40 mins. (e) Compacting pressure 26.36414Ton,Sintering temperature 530°C and Sintering time 40 mins. 
3. RESULTS AND DISCUSSION 
In this experiment Al-SiCp powder mixtures of different composition are compacted, sintered at an inert atmosphere, at a fixed temperature for different time duration. The samples are compacted under different pressure range (40- 93.63586 Tons). The results obtained through the experiments are given in Tables 2 and 3. It should be mentioned in all the cases the hold values are mean value of the range of variation corresponding to each variable. Average values are preferred because of the inherent nature of the RSM model. 
Table 2 Symbols, levels and values of process parameters 
Process parameters (Independent variables) 
Symbols Levels 
Actual Coded Actual Coded 
weight percentage of SiCp 
Z1 
X1 
2 
5 
8 
-1 
0 
+1 
Compacting pressure(Ton) 
Z2 
X2 
40 
60 
80 
-1 
0 
+1 
Sintering time (Mins) 
Z3 
X3 
30 
40 
50 
-1 
0 
+1 
Table 3 Observed Hardness values for different settings of process parameters based on 23 full factorial design 
Std Order 
Run Order 
Pt Type 
Blocks 
Wt.% SiCp 
Comp. Pr. (Ton) 
Sint Time (Mins) 
Result 
Hardness(VHN) 
1 
55 
1 
1 
2 
40 
30 
2.712 
85.144 
2 
59 
1 
1 
8 
40 
30 
2.892 
94.216 
3 
1 
1 
1 
2 
80 
30 
2.702 
85.4 
4 
3 
1 
1 
8 
80 
30 
3.02 
110.6 
5 
35 
1 
1 
2 
40 
50 
2.7144 
85.1728
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 71 
6 
9 
1 
1 
8 
40 
50 
2.9304 
96.0592 
7 
4 
1 
1 
2 
80 
50 
2.724 
85.48 
8 
19 
1 
1 
8 
80 
50 
3.084 
115.72 
9 
27 
-1 
1 
-0.04538 
60 
40 
2.70027 
85.00054 
10 
44 
-1 
1 
10.04538 
60 
40 
3.132 
119.56 
11 
13 
-1 
1 
5 
26.36414 
40 
2.7405 
85.6075 
12 
2 
-1 
1 
5 
93.63586 
40 
2.862 
94.72 
13 
32 
-1 
1 
5 
60 
23.18207 
2.76 
87.4 
14 
52 
-1 
1 
5 
60 
56.81793 
2.834 
90.36 
15 
15 
0 
1 
5 
60 
40 
2.808 
89.31 
16 
54 
0 
1 
5 
60 
40 
2.809 
89.36 
17 
58 
0 
1 
5 
60 
40 
2.807 
89.32 
18 
29 
0 
1 
5 
60 
40 
2.808 
89.34 
19 
47 
0 
1 
5 
60 
40 
2.808 
89.35 
20 
21 
0 
1 
5 
60 
40 
2.809 
89.38 
21 
14 
1 
1 
2 
40 
30 
2.713 
85.134 
22 
38 
1 
1 
8 
40 
30 
2.893 
94.216 
23 
25 
1 
1 
2 
80 
30 
2.71 
85.44 
24 
10 
1 
1 
8 
80 
30 
3.01 
110.62 
25 
41 
1 
1 
2 
40 
50 
2.7145 
85.1738 
26 
17 
1 
1 
8 
40 
50 
2.9303 
96.1592 
27 
18 
1 
1 
2 
80 
50 
2.724 
85.58 
28 
45 
1 
1 
8 
80 
50 
3.086 
115.74 
29 
37 
-1 
1 
-0.04538 
60 
40 
2.70026 
85.0154 
30 
23 
-1 
1 
10.04538 
60 
40 
3.131 
119.66 
31 
49 
-1 
1 
5 
26.36414 
40 
2.74054 
85.6175 
32 
42 
-1 
1 
5 
93.63586 
40 
2.863 
94.72 
33 
48 
-1 
1 
5 
60 
23.18207 
2.75 
87.34 
34 
6 
-1 
1 
5 
60 
56.81793 
2.833 
90.46 
35 
50 
0 
1 
5 
60 
40 
2.807 
89.51 
36 
36 
0 
1 
5 
60 
40 
2.809 
89.56 
37 
20 
0 
1 
5 
60 
40 
2.808 
89.35 
38 
39 
0 
1 
5 
60 
40 
2.809 
89.38 
39 
22 
0 
1 
5 
60 
40 
2.809 
89.34 
40 
46 
0 
1 
5 
60 
40 
2.806 
89.4 
41 
33 
1 
1 
2 
40 
30 
2.714 
85.154 
42 
31 
1 
1 
8 
40 
30 
2.8921 
94.216 
43 
12 
1 
1 
2 
80 
30 
2.73 
85.34 
44 
16 
1 
1 
8 
80 
30 
3.04 
111.6 
45 
40 
1 
1 
2 
40 
50 
2.7115 
85.1728 
46 
26 
1 
1 
8 
40 
50 
2.9306 
96.0592 
47 
5 
1 
1 
2 
80 
50 
2.7245 
85.48 
48 
7 
1 
1 
8 
80 
50 
3.0845 
116.72 
49 
8 
-1 
1 
-0.04538 
60 
40 
2.70025 
85.12354 
50 
43 
-1 
1 
10.04538 
60 
40 
3.132 
120.56
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 72 
51 11 -1 1 5 26.36414 40 2.7405 85.6275 
52 28 -1 1 5 93.63586 40 2.863 94.92 
53 56 -1 1 5 60 23.18207 2.77 87.35 
54 53 -1 1 5 60 56.81793 2.834 90.46 
55 34 0 1 5 60 40 2.809 89.35 
56 30 0 1 5 60 40 2.808 89.46 
57 57 0 1 5 60 40 2.807 89.29 
58 24 0 1 5 60 40 2.807 89.41 
59 51 0 1 5 60 40 2.806 89.45 
60 60 0 1 5 60 40 2.808 89.48 
4. MATHEMATICAL MODELING 
From the results of ANOVA a mathematical model has been 
proposed for the evaluation of hardness HCCD of the powder 
metallurgy components. The proposed model is expressed as 
HCCD (Hardness) = 89.3690 + 16.5935x1 + 6.4900x2 
+ 1.5144x3 + 13.5038x12 +1.2193x22 - -0.0878x32 + 
12.7640x1x2 +2.4209 x1x3 +1.1789x2x3 
Where HCCD: response, i.e., hardness in central composite 
design. 
80 
80 60 
100 
120 
0 40 
140 
5 20 
10 
Hardness(VHN) 
Com.Pr , 
Wt.% SiCp 
Sint.Time(Min) 40 
Hold Values 
Surface Plot of Hardness(VHN) vs Com.Pr,, Wt.% SiCp 
Fig 4: Surface Plot of hardness (R1) vs. compacting pressure (x2) and wt% of SiCp (x1) for a fixed value of sintering time (x3).
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 73 
50 
40 
90 
100 
110 
0 
120 
30 
5 20 
10 
Hardness(VHN) 
Sint.T ime(Min) 
Wt.% SiCp 
Com.Pr, 60 
Hold Values 
Surface Plot of Hardness(VHN) vs Sint.Time(Min), Wt.% SiCp 
Fig 5: Surface Plot of hardness (R1) vs. sintering time (x3) and wt% of SiCp (x1) for a fixed value of compacting pressure (x2). 
50 
85 
40 
90 
95 
20 30 
100 
40 
60 80 20 
Hardness(VHN) 
Sint.T ime(Min) 
Com.Pr , 
Wt.% SiCp 5 
Hold Values 
Surface Plot of Hardness(VHN) vs Sint.Time(Min), Com.Pr, 
Fig 6: Surface Plot of hardness (R1) vs. sintering time (x3) and compacting pressure (x2) for a fixed value of percentage weight of 
SiCp (x1). 
Hardness of SiCp (x1) was observed to increase due 
increase in the percentage weight and compacting pressure 
(40- 93.63586 Tons) at a fixed sintering time of 40 minutes 
(Figure 4). Identical nature of variation is noted in 
simultaneous increase of sintering time (x3) and weight 
percentage of SiCp (x1) for a fixed value of compacting 
pressure (x2) (Figure 5). Hardness (R1) shows linear 
increase with sintering time (x3) and compacting pressure 
(x2) for a fixed value of weight percentage of SiCp (x1) 
(Fig. 6). In this case, the range of variation of the parameters 
is similar to that of previous two cases.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 74 
-3 -2 -1 0 1 2 3 
99.9 
99 
95 
90 
80 
70 
60 
50 
40 
30 
20 
10 
5 
1 
0.1 
Residual 
Percent 
Normal Probability Plot 
(response is Hardness(VHN)) 
Fig 7: Plot between observed hardness data and predicted hardness for RSM model. 
This is also evident from the findings that co-efficient of 
determination (R-Square) value is 99.12 %. Hence, it may 
be concluded that the prediction made by this developed 
model corroborates well with the experimental observations. 
5. CONCLUSIONS 
Hardness of Silicon carbide particle reinforced aluminium 
metal matrix composites (Al-SiCp) are influenced by 
sintering temperature, SiCp percentage weight and 
compacting pressure. A mathematical model has been used 
to predict the hardness variations by response surface 
method (RSM) using the experimental data. The model 
shows increase in density due to change in percentage 
weight of SiCp (x1) and sintering time for a fixed value of 
compacting pressure (x2). The response variable, density 
(R1) shows linear increase when it is plotted against 
sintering time (x3) and compacting pressure (x2) for a fixed 
value of wt% of SiCp (x1). The prediction of hardness 
variation from the mathematical model developed in this 
study matches closely with the observed data (R2 = 99.12%) 
which represents a highly reliable design of experiments. 
ACKNOWLEDGEMENTS 
Authors thankfully acknowledge the financial support 
provided by U.G.C, New Delhi under Major Research 
Project Grant [F.No.–32-88/2006 (SR) dated 09.03.2007. 
REFERENCES: 
[1]. Z. S. Joel, Introduction to Powder Metallurgy , 
American P.M.Institute,Princeton, 1976 
[2]. T. Navrátil , I. Šestáková, “Application of Modern 
Electrochemical Techniques and Electrode Materials in 
Determination of Trace Elements in Environment”, 5th 
WSEAS Int. Conf. on Environment, Ecosystems and 
Development, Tenerife, Spain, December 14-16, 2007, pp. 
169-174. 
[3]. V. Holcman., K Liedermann., “New mixing rule of 
polymer composite systems”, WSEAS TRANSACTIONS on 
Electronics, Issue 9, Volume 4,September 2007, pp.181-185 
[4]. R.M.German, Powder metallurgy of iron and steel. John 
Willy & Sons. N.Y. 1998. 
[5]. Nitsham, A. E. New application for Al based MMC, 
1997, vol. 54 (Light Metal Age, USA). 
[6]. W.-F. Wang, “Effect of Powder Type and Compaction 
Pressure on the Density, Hardness and Oxidation Resis-tance 
of Sintered and Steam Treated Steels,” Journal of 
Materials Engineering Performance, Vol. 16, No. 5, 2007, 
pp. 533-538. 
[7]. D.Chatterjee, B.oram, G,Sutradhar,P.K.Bose.” 
Prediction of hardness for sintered HSS Components using 
response surface method ,J.M,PT ,Vol.190, 2007, pp.123- 
129. 
[8]. A.T.Mamedov and V.A. Mamedov,”Properties of 
highly dense iron –base powder metallurgy materials 
pressed without Zinc-Stearate.” Powder metallurgy and 
metal ceramics. Vol. 42 Nos.5-6 (431), 2003, pp 32-36. 
[9]. H.G.Rutz,F.G.Hanejko and G. W. Ellis,Hoganaes 
Corporation. Riverton,USA.“The manufacture of 
Electromagnetic components by powder metallurgy
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 
_______________________________________________________________________________________ 
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 75 
process”.International Conference on powder metallurgy and particulate materials. June 29-July2,1997 Chicago USA. [10]. Howard Ferguson ” Heat treatment of Ferrous powder metallurgy parts „ASM Handbook Vol. 7,Powder metal Technologies and application,1990, pp.645-655. 
[11]. M.J. Koczac and P. Aggarwal, The effect of particle size and density on the properties of iron and iron- phosphorous alloys, National Powder Metallurgy Conference Proceedings, Prog. Powder Metall. 34 and 35 (1978–1979), pp. 113–132. [12]. D. Chatterjee,, B.Oraon, , G.Sutradhar , and P. K. Bose,, “Prediction of Hardness for Sintered HSS Components Using Response Surface Method,” Journal of Materials Processing Technology, Vol. 190, No. 1-3, pp. 123- 129,2007. [13]. G. E. P. Boxes, and N. R.Draper, “Emperical Model Building and Response Surfaces,” Wiley, New York, 1987. [14]. D. C.Montgomery, “Design and Analysis of Experiments,” John Wiley & Sons, New York, 1991.

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Experimental study on hardness for sintered si cp reinforced ammcs using the response surface method

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 68 EXPERIMENTAL STUDY ON HARDNESS FOR SINTERED SiCP REINFORCED AMMCS USING THE RESPONSE SURFACE METHOD Sujit Das1, P.K.Bardhan2, R.Behera3, S. Patra4, G. Majumdar5, B .Oraon6, G. Sutradhar7 1Research Scholar, Jadavpur University, Kolkata, West Bengal, India 2Professor, Dept. of Mechanical Engineering, JIS College of Engineering, Kalyani, West Bengal, India 3Professor, Dept. of Mechanical Engineering, Seemanta Engineering College, Mayurbhanj, Odisha, India 4Cwiss, IIT Kharagpur, West Bengal, India, 5Professor, Jadavpur University, Kolkata, West Bengal, India 6Professor, Jadavpur University, Kolkata, West Bengal, India 7Professor, Jadavpur University, Kolkata, West Bengal, India Abstract Limited efforts are being made so far to synthesize Al-SiC particle composite using powder metallurgy route and characterize the composites in terms of microstructure, mechanical properties e.g. hardness. The composite shows uniform distribution of SiC particles and good interface bonding between SiC particles and the metallic matrix. The variation of hardness with respect to the variation of process parameters viz. compacting pressure, sintering temperature and sintering time has been observed. To achieve optimum hardness of PMMCs, the percentage of reinforcement materials, compacting pressure, sintering time are considered as the controllable process parameters and related response variable is hardness. A 23 full factorial design of experiments (DOE) was used to collect experimental data to statistically analyze the effect of the process parameters on the hardness of the sintered Al-SiCp composites. It is observed that the weight percentage of SiCp, compacting pressure (Ton), sintering time (minute) strongly influence the response variables, hardness. A second order responses surface model (RSM) has been used to develop a predicting equation of hardness based on the data collected by a statistical design of experiments known as central composite design (CCD). The analysis of variance (ANOVA) shows that the observed data fits well into the assumed second order RSM model. Keywords: Composite, Powder metallurgy, Sintered components, Hardness, Response surface method, Central composite design. --------------------------------------------------------------------***------------------------------------------------------------------ 1. INTRODUCTION The Development of Technology in automotive manufacturing process has required new solutions adapted for invention of lightweight, non-pollutant materials with a low cost production. The materials which accomplish in many parts are the light weight composites, discontinuous reinforced with ceramic particles, like aluminium based composites [1]. These composites combine the characteristics of aluminium and aluminium alloys matrix (low density in comparison with ferrous materials, good corrosion resistance and machinability) with the characteristics of ceramic particles (e.g. SiCp , TiCp, B4Cp, Al2O3, SiO2, etc.) which improve in special mechanical, tribological and thermal expansion characteristics [1]- [3]. Powder metallurgy (P/M) is one of the best manufacturing process in this regards. Powder metallurgy components are increasingly utilized for soft magnetic materials, automotive and structural applications [4]. Aluminium metal matrix composites (Al-SiCp) MMCs reinforced with hard ceramic particles have emerged as a potential material especially for wear-resistant and weight critical applications such as cylinder blocks, cylinder liners, pistons, brake drums, connecting rods, and so on [5]. It is also observed that the green density and sintered density is a function of powder type and compaction pressure [6]. Investigations also revealed that porosity and densification of P/M product highly influence the hardness and other mechanical properties [7]. Several theoretical & experimental studies reported that response variables of these components depend upon the process parameter viz, compacting pressure, sintering temperature and sintering time. Some other literature demonstrated that the hardness of a component could be modified by varying the alloy elements, particle size and so forth [8-11]. There is also some effect of sintering temperature and sintering time on the hardness of the P/M products which may be due to change of metallic phase and variation in grain size respectively. Present study examines the variation of hardness due to changes in process parameters of sintered aluminium metal matrix composites. The samples were produced by variation of process parameters as per the design of experiment and the response surface method was used to study the variation of hardness. A 23 full factorial design of experiments was used to collect experimental data for statistical analysis of the effect of process parameter on the hardness of the sintered aluminium metal matrix components. A second order responses surface model has been used to develop a predicting equation of
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 69 hardness based on the data collected by a statistical design of experiments known as central composite design [12-14]. 2. EXPERIMENTAL PROCEDURES 2.1 Production of Metal Matrix Composite In this experiment, air atomized aluminium powder (average particle size of 400 mesh) reinforced with SiC particles (average size of 400 mesh) (Figure 1) was used as the test material and. composites of have been fabricated using powder metallurgy technique (Figure 2) are shown. Al powder and SiC powder were blended on a pot mill (diameter 40 mm, height 35 mm) at a constant speed of 1500 rpm for 1.5 hour to produce a homogeneous powder mixture. The powder blending parameters are listed in Table 1. The homogeneous powder Al-SiCp blend was compacted in a closed cylindrical die using 120 Ton hydraulic press (Make: Lawrence & Mayo) for green stage product. The die was lubricated with Zn-stearate. The total experiment is performed according to the design of experiment (DOE). The grain refinement of metal matrix-based composites reinforced by tough particles can interprete by the increased effective extrusion ratio with increasing volume fraction of incompressible reinforcements and the available data have been analyzed by response surface method using Minitab software (version 14). Table 1: Powder blending parameters Fig 1: Various steps involved in synthesis of Al- SiCp composites in P/M technique Fig 2: Tubular Vacuum Furnace To avoid the oxidation of aluminium powder at high temperature, the degassing and sintering procedures of the green compacts were incorporated together in tubular vacuum furnace (diameter of hot zone 75 mm, length of hot zone 150 mm and maximum temperature 1450°C) using argon as an inert atmosphere (Fig. 2). The stepped heating procedures of the degassing and sintering have introduced into the experiment. 2.2 Microstructural Examination The P/M samples sintered at a fixed temperature of 530°C for fixed sintering time of 40 minutes under different compacting pressures, have been prepared and the microstructures (Figure 3) were examined under microscope Mixture Filling of mixer (vol.%) Operation R.P.M Time (min) 400mesh pure Al,400mesh SiC and Binder (Zinc Stearate) 50 Blending 1500 20 75 Blending 1500 20 100 Blending 1500 20 Rest 10 Blending 1500 20
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 70 (Olympus, CK40M). The brighter regions of the figure indicate aluminium matrix, while the darker portions indicate SiCp in the specimen. Fig 3 Microstructure of Al-SiCp P/M composite specimen at different pressure (a) Compacting pressure 93.63586Ton, Sintering temperature 530°C Sintering time 40 mins; (b) Compacting pressure 80Ton, Sintering temperature 530°C, Sintering time 40 mins; (c) Compacting pressure 60Ton, Sintering temperature 530°C, Sintering time 40 mins; (d) Compacting pressure 40Ton, Sintering temperature 530°C, Sintering time 40 mins. (e) Compacting pressure 26.36414Ton,Sintering temperature 530°C and Sintering time 40 mins. 3. RESULTS AND DISCUSSION In this experiment Al-SiCp powder mixtures of different composition are compacted, sintered at an inert atmosphere, at a fixed temperature for different time duration. The samples are compacted under different pressure range (40- 93.63586 Tons). The results obtained through the experiments are given in Tables 2 and 3. It should be mentioned in all the cases the hold values are mean value of the range of variation corresponding to each variable. Average values are preferred because of the inherent nature of the RSM model. Table 2 Symbols, levels and values of process parameters Process parameters (Independent variables) Symbols Levels Actual Coded Actual Coded weight percentage of SiCp Z1 X1 2 5 8 -1 0 +1 Compacting pressure(Ton) Z2 X2 40 60 80 -1 0 +1 Sintering time (Mins) Z3 X3 30 40 50 -1 0 +1 Table 3 Observed Hardness values for different settings of process parameters based on 23 full factorial design Std Order Run Order Pt Type Blocks Wt.% SiCp Comp. Pr. (Ton) Sint Time (Mins) Result Hardness(VHN) 1 55 1 1 2 40 30 2.712 85.144 2 59 1 1 8 40 30 2.892 94.216 3 1 1 1 2 80 30 2.702 85.4 4 3 1 1 8 80 30 3.02 110.6 5 35 1 1 2 40 50 2.7144 85.1728
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 71 6 9 1 1 8 40 50 2.9304 96.0592 7 4 1 1 2 80 50 2.724 85.48 8 19 1 1 8 80 50 3.084 115.72 9 27 -1 1 -0.04538 60 40 2.70027 85.00054 10 44 -1 1 10.04538 60 40 3.132 119.56 11 13 -1 1 5 26.36414 40 2.7405 85.6075 12 2 -1 1 5 93.63586 40 2.862 94.72 13 32 -1 1 5 60 23.18207 2.76 87.4 14 52 -1 1 5 60 56.81793 2.834 90.36 15 15 0 1 5 60 40 2.808 89.31 16 54 0 1 5 60 40 2.809 89.36 17 58 0 1 5 60 40 2.807 89.32 18 29 0 1 5 60 40 2.808 89.34 19 47 0 1 5 60 40 2.808 89.35 20 21 0 1 5 60 40 2.809 89.38 21 14 1 1 2 40 30 2.713 85.134 22 38 1 1 8 40 30 2.893 94.216 23 25 1 1 2 80 30 2.71 85.44 24 10 1 1 8 80 30 3.01 110.62 25 41 1 1 2 40 50 2.7145 85.1738 26 17 1 1 8 40 50 2.9303 96.1592 27 18 1 1 2 80 50 2.724 85.58 28 45 1 1 8 80 50 3.086 115.74 29 37 -1 1 -0.04538 60 40 2.70026 85.0154 30 23 -1 1 10.04538 60 40 3.131 119.66 31 49 -1 1 5 26.36414 40 2.74054 85.6175 32 42 -1 1 5 93.63586 40 2.863 94.72 33 48 -1 1 5 60 23.18207 2.75 87.34 34 6 -1 1 5 60 56.81793 2.833 90.46 35 50 0 1 5 60 40 2.807 89.51 36 36 0 1 5 60 40 2.809 89.56 37 20 0 1 5 60 40 2.808 89.35 38 39 0 1 5 60 40 2.809 89.38 39 22 0 1 5 60 40 2.809 89.34 40 46 0 1 5 60 40 2.806 89.4 41 33 1 1 2 40 30 2.714 85.154 42 31 1 1 8 40 30 2.8921 94.216 43 12 1 1 2 80 30 2.73 85.34 44 16 1 1 8 80 30 3.04 111.6 45 40 1 1 2 40 50 2.7115 85.1728 46 26 1 1 8 40 50 2.9306 96.0592 47 5 1 1 2 80 50 2.7245 85.48 48 7 1 1 8 80 50 3.0845 116.72 49 8 -1 1 -0.04538 60 40 2.70025 85.12354 50 43 -1 1 10.04538 60 40 3.132 120.56
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 72 51 11 -1 1 5 26.36414 40 2.7405 85.6275 52 28 -1 1 5 93.63586 40 2.863 94.92 53 56 -1 1 5 60 23.18207 2.77 87.35 54 53 -1 1 5 60 56.81793 2.834 90.46 55 34 0 1 5 60 40 2.809 89.35 56 30 0 1 5 60 40 2.808 89.46 57 57 0 1 5 60 40 2.807 89.29 58 24 0 1 5 60 40 2.807 89.41 59 51 0 1 5 60 40 2.806 89.45 60 60 0 1 5 60 40 2.808 89.48 4. MATHEMATICAL MODELING From the results of ANOVA a mathematical model has been proposed for the evaluation of hardness HCCD of the powder metallurgy components. The proposed model is expressed as HCCD (Hardness) = 89.3690 + 16.5935x1 + 6.4900x2 + 1.5144x3 + 13.5038x12 +1.2193x22 - -0.0878x32 + 12.7640x1x2 +2.4209 x1x3 +1.1789x2x3 Where HCCD: response, i.e., hardness in central composite design. 80 80 60 100 120 0 40 140 5 20 10 Hardness(VHN) Com.Pr , Wt.% SiCp Sint.Time(Min) 40 Hold Values Surface Plot of Hardness(VHN) vs Com.Pr,, Wt.% SiCp Fig 4: Surface Plot of hardness (R1) vs. compacting pressure (x2) and wt% of SiCp (x1) for a fixed value of sintering time (x3).
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 73 50 40 90 100 110 0 120 30 5 20 10 Hardness(VHN) Sint.T ime(Min) Wt.% SiCp Com.Pr, 60 Hold Values Surface Plot of Hardness(VHN) vs Sint.Time(Min), Wt.% SiCp Fig 5: Surface Plot of hardness (R1) vs. sintering time (x3) and wt% of SiCp (x1) for a fixed value of compacting pressure (x2). 50 85 40 90 95 20 30 100 40 60 80 20 Hardness(VHN) Sint.T ime(Min) Com.Pr , Wt.% SiCp 5 Hold Values Surface Plot of Hardness(VHN) vs Sint.Time(Min), Com.Pr, Fig 6: Surface Plot of hardness (R1) vs. sintering time (x3) and compacting pressure (x2) for a fixed value of percentage weight of SiCp (x1). Hardness of SiCp (x1) was observed to increase due increase in the percentage weight and compacting pressure (40- 93.63586 Tons) at a fixed sintering time of 40 minutes (Figure 4). Identical nature of variation is noted in simultaneous increase of sintering time (x3) and weight percentage of SiCp (x1) for a fixed value of compacting pressure (x2) (Figure 5). Hardness (R1) shows linear increase with sintering time (x3) and compacting pressure (x2) for a fixed value of weight percentage of SiCp (x1) (Fig. 6). In this case, the range of variation of the parameters is similar to that of previous two cases.
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 74 -3 -2 -1 0 1 2 3 99.9 99 95 90 80 70 60 50 40 30 20 10 5 1 0.1 Residual Percent Normal Probability Plot (response is Hardness(VHN)) Fig 7: Plot between observed hardness data and predicted hardness for RSM model. This is also evident from the findings that co-efficient of determination (R-Square) value is 99.12 %. Hence, it may be concluded that the prediction made by this developed model corroborates well with the experimental observations. 5. CONCLUSIONS Hardness of Silicon carbide particle reinforced aluminium metal matrix composites (Al-SiCp) are influenced by sintering temperature, SiCp percentage weight and compacting pressure. A mathematical model has been used to predict the hardness variations by response surface method (RSM) using the experimental data. The model shows increase in density due to change in percentage weight of SiCp (x1) and sintering time for a fixed value of compacting pressure (x2). The response variable, density (R1) shows linear increase when it is plotted against sintering time (x3) and compacting pressure (x2) for a fixed value of wt% of SiCp (x1). The prediction of hardness variation from the mathematical model developed in this study matches closely with the observed data (R2 = 99.12%) which represents a highly reliable design of experiments. ACKNOWLEDGEMENTS Authors thankfully acknowledge the financial support provided by U.G.C, New Delhi under Major Research Project Grant [F.No.–32-88/2006 (SR) dated 09.03.2007. REFERENCES: [1]. Z. S. Joel, Introduction to Powder Metallurgy , American P.M.Institute,Princeton, 1976 [2]. T. Navrátil , I. Šestáková, “Application of Modern Electrochemical Techniques and Electrode Materials in Determination of Trace Elements in Environment”, 5th WSEAS Int. Conf. on Environment, Ecosystems and Development, Tenerife, Spain, December 14-16, 2007, pp. 169-174. [3]. V. Holcman., K Liedermann., “New mixing rule of polymer composite systems”, WSEAS TRANSACTIONS on Electronics, Issue 9, Volume 4,September 2007, pp.181-185 [4]. R.M.German, Powder metallurgy of iron and steel. John Willy & Sons. N.Y. 1998. [5]. Nitsham, A. E. New application for Al based MMC, 1997, vol. 54 (Light Metal Age, USA). [6]. W.-F. Wang, “Effect of Powder Type and Compaction Pressure on the Density, Hardness and Oxidation Resis-tance of Sintered and Steam Treated Steels,” Journal of Materials Engineering Performance, Vol. 16, No. 5, 2007, pp. 533-538. [7]. D.Chatterjee, B.oram, G,Sutradhar,P.K.Bose.” Prediction of hardness for sintered HSS Components using response surface method ,J.M,PT ,Vol.190, 2007, pp.123- 129. [8]. A.T.Mamedov and V.A. Mamedov,”Properties of highly dense iron –base powder metallurgy materials pressed without Zinc-Stearate.” Powder metallurgy and metal ceramics. Vol. 42 Nos.5-6 (431), 2003, pp 32-36. [9]. H.G.Rutz,F.G.Hanejko and G. W. Ellis,Hoganaes Corporation. Riverton,USA.“The manufacture of Electromagnetic components by powder metallurgy
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 75 process”.International Conference on powder metallurgy and particulate materials. June 29-July2,1997 Chicago USA. [10]. Howard Ferguson ” Heat treatment of Ferrous powder metallurgy parts „ASM Handbook Vol. 7,Powder metal Technologies and application,1990, pp.645-655. [11]. M.J. Koczac and P. Aggarwal, The effect of particle size and density on the properties of iron and iron- phosphorous alloys, National Powder Metallurgy Conference Proceedings, Prog. Powder Metall. 34 and 35 (1978–1979), pp. 113–132. [12]. D. Chatterjee,, B.Oraon, , G.Sutradhar , and P. K. Bose,, “Prediction of Hardness for Sintered HSS Components Using Response Surface Method,” Journal of Materials Processing Technology, Vol. 190, No. 1-3, pp. 123- 129,2007. [13]. G. E. P. Boxes, and N. R.Draper, “Emperical Model Building and Response Surfaces,” Wiley, New York, 1987. [14]. D. C.Montgomery, “Design and Analysis of Experiments,” John Wiley & Sons, New York, 1991.