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Optimization of Tungsten Inert Gas Welding Process Parameters of Al6063/15%Sicp Metal Matrix Composites

DOI : 10.17577/IJERTV3IS111319

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Optimization of Tungsten Inert Gas Welding Process Parameters of Al6063/15%Sicp Metal Matrix Composites

Dr. Brajesh Varshney

Professor, Mechanical Engineering Kanpur Institute of Technology Kanpur ,India

Er. Sanmita Srivastava

Research Scholar, Mechanical Engineering Kanpur Institute of Technology

Kanpur, India

Abstract Aluminium metal matrix composites (AMMCs) are becoming more popular as structural materials and joining them is therefore of paramount importance. Joining of advanced materials plays an increasingly important role in modern manufacturing industries. AMMCs have a unique combination of mechanical and physical properties, such as high specific strength, specific modulus of elasticity, low thermal expansion coefficient and good wear resistance, these are being widely used in aerospace engineering, automotive industry, electronic packaging, medical appliances, heat exchanger fins and other related industries. As these new materials become available it is necessary to define and optimize joining techniques, and a thorough understanding of process. The present work first deals with the fabrication of SiCp reinforced AMMCs (Al6063/15percent SiCp) with Liquid Processing Technique, i.e. Stir casting method and later to seek for possibilities of successful joining with TIG process, for possible structural applications.The present study deals with an experimental study carried out in order to optimize the process parameters namely Frequency (Hz), Current (A), Shielding gas flow rate (l/m), Percentage time electrode positive (µs). The performance measures evaluated are namely Micro- hardness,(VHN) and Impact strength, (Joule), for TIG welding of Al6063/15%SiCp. The results have been analysed using Taguchis methodology.

Keywords Metal matrix composites (MMCs), Tungsten inert gas (TIG) joining, Design of experiments (DOE), Taguchis methodology, Optimal parametric settings, Micro-hardness.

  1. INTRODUCTION

      1. CompositeA composite is a structural material that consists of two or more combined constituents that are combined at a microscopic level and are not soluble in each other having superior properties than those depicted by any of its individual composites. One constituents is called the reinforcing phase and one which it is embedded is called the

        matrix, the reinforcing phase material may be in the form of particles fibres or flakes the matrix materials are generally continuous phase, Aluminium based Metal Matrix Composites (MMCs) reinforced with ceramic particles (Al2O3, SiCp, Graphite etc.) have developed considerable interests in modern industry due to light weight of aluminium and its expensive as compared with other metals such as Titanium & Magnesium. [1]. Favorable properties of AMMCs are high strength, high stiffness, high temperature stability, improved wear resistant, corrosion resistant, adjustable coefficient of thermal expansion etc. SiCp reinforced aluminium metal matrix composites (SiCp/Al MMCs) have a unique combination of mechanical and physical properties, such as high specific strength and specific modulus of elasticity, low thermal expansion coefficient and good wear resistance, [2].

      2. Processing Of Aluminium Matrix Composites (Amcs) Using Liquid State Fabrication

        Liquid state fabrication of Metal Matrix Composites involves incorporation of dispersed phase into a molten matrix metal, followed by its Solidification. In order to provide high level of mechanical properties of the composite [3], good interfacial bonding (wetting) between the dispersed phase and the liquid matrix should be obtained. Wetting improvement may be achieved by coating the dispersed phase particles (fibres). Proper coating not only reduces interfacial energy, but also prevents chemical interaction between the dispersed phase and the matrix [4].

      3. STIR CASTING METHOD OF FABRICATION OF

    Mmcs

    Stir casting is a liquid state method of composite materials fabrication, in which a dispersed phase (ceramic particles, short fibres) is mixed with a molten matrix metal by means of mechanical stirring [5]. The liquid composite material is then cast by conventional casting methods and may also be processed by conventional metal forming technologies.

    Alloy Type

    Composition wt%

    6063

    Si

    M

    n

    Mg

    F

    e

    C

    u

    Ni

    Z

    n

    S

    n

    Ti

    Cr

    A

    l

    0.4

    2

    0

    . 0

    3

    0.9

    0

    0.

    5

    4

    0.

    0

    5

    0.0

    1

    0.

    0

    2

    0.

    0

    2

    0.00

    0.0

    1

    B

    al a n ce

    The matrix material used in the investigation is AA6063. Chemical Composition of Aluminium Alloy 6063 are given in (Table 1) and mechanical properties are given in (Table 2).

    Table 1: Mechanical properties of AA6063 Matrix Material

  2. DESIGN OF EXPERIMENTS

    Design of Experiment (DoE) is a useful method in identifying the significant parameters and in studying the possible effect of the variables during the runs [6]. This method can also developed experiment between a ranges from uncontrollable factors (noise factor), which will be introduced randomly to carefully controlled parameters. The factors must be either quantitative or qualitative. The range of values for quantitative factors must be decided on how they are going to be measured and the level at which they will be controlled during the trials. Meanwhile, the qualitative factors are parameters that will be determined discretely [7].

    2.1 Taguchi orthogonal array

    Orthogonal arrays are two dimensional arrays of numbers which possess the interesting quality that by choosing any two columns in the array you receive an even distribution of all the pair wise combination of values in the array. Taguchi orthogonal array are experimental design that usually require only a fraction of the full factorial combination. The arrays are design to handle as many factors as possible in a certain number of runs. Create Taguchi design by assigning some or all of the array columns to the factors in your experiment. The columns of the arrays are balanced and orthogonal. This means that in each pair of columns, all factor combinations occurs the same number of times. Orthogonal designs allow estimating the effect of each factor on the response or performance measures independently of all other factors [8]. For our experimentation, we use L18 orthogonal array.

  3. Experimental Procedures

    The objective of the experimentation is to optimization of tungsten inert gas (TIG) welding process parameter during welding of Al6063/15%SiCp metal matrix composites. A L18 (21×33) orthogonal array was employed to study the effect of Frequency, Current, Shielding gas flow rate, Percentage time electrode positive. The performance measures considered were Micro Hardness and Impact Strength The Experimentations were carried out in two steps first is processing of MMCs and then secondly is joining of MMCs by TIG process.

      1. Matrix material

        Table 2: Mechanical properties of AA6063 Matrix Material

        Density

        2700 Kg/m3

        Shear Strength

        70 MPa

        Modulus of Elasticity

        69.5 GPa

        Tensile Strength

        105 MPa

        Elongation (%)

        27

        Hardness Vickers

        25 HV

      2. Factors and levels of TIG welding machine

        Joining of aluminium based metal matrix composites is done using TIG welding machine. The welded specimen of AMMCs is shown in (Figure 1).

        Figure 1: Welded specimens

        6

        HF

        95

        14

        70

        7

        HF

        105

        10

        65

        8

        HF

        105

        12

        70

        9

        HF

        105

        14

        60

        10

        LF

        85

        10

        70

        11

        LF

        85

        12

        60

        12

        LF

        85

        14

        65

        13

        LF

        95

        10

        65

        14

        LF

        95

        12

        70

        15

        LF

        95

        14

        60

        16

        LF

        105

        10

        70

        17

        LF

        105

        12

        60

        18

        LF

        105

        14

        65

        1. Noise factor: Frequency (Hz)

          Level=2 (Low frequency, LF and High frequency, HF)

          DOF=1

        2. Control factors: Current (A), Shielding gas flow rate (l/m), Percentage time electrode positive (µs)

        Level=3 and DOF=2

        In the present experimentation study frequency, current, shielding gas flow rate and duration of electrode positive have been considered as process parameters. Thus each process parameters were assigned three levels except frequency based upon the preliminary experiments. The process parameters along with their levels considered for the present study is listened in (Table-3).

        Table 3: Process parameters considered and their levels

        Factors

        Unit

        Levels

        1

        2

        3

        Frequency

        Hz

        HF

        LF

        Current

        A

        85

        95

        105

        Shielding gas flow rate

        l/m

        10

        12

        14

        Percentage time electrode positive

        µs

        60

        65

        70

      3. Design of Taguchis Orthogonal Array

    In the present study, L18 (21×33) orthogonal array has been used. Accordingly 18 experiments were carried out to study the effect of process parameters. Each experimental runs were repeated twice in order to reduce experimental errors. Lay out of orthogonal array is shown in (Table 4).

    Table 4: Experimental lay out using L18 (21×33) orthogonal array

    Runs

    Noise

    factor

    Control factor

    Frequency

    (Hz)

    Current

    (A)

    S.G.F.R

    (l/m)

    %Time electrode +

    (µs)

    1

    HF

    85

    10

    60

    2

    HF

    85

    12

    65

    3

    HF

    85

    14

    70

    4

    HF

    95

    10

    60

    5

    HF

    95

    12

    65

    3.4. Performance measures

    The various performance measures or the responses that were studied in the TIG welding of Al6063/15%SiCp metal matrix composite are:

    1. Micro- hardness (VHN) hardness is the ability of a metal to resist penetration to resist abrasive wear, or to resist the absorption of energy under impact load; according these can be thought of as penetration hardness, wear hardness, and rebound hardness [9]. Vickers hardness test uses a square based diamond pyramid so it has higher accuracy because the diagonals of a square can be measured more accurately than the diameter of a circle and hardness is present in VHN number [10].

    2. Impact strength (Charpy test) the resistance of the material to fracture under impact loading, i.e., under quickly dynamic loads, the quantitative value measured in joules [11].

      1. Testing Of Work Specimens

        Testing is considered as the necessary to the satisfactory performance of the welded joints in service for this purpose the specimen dimensions and welding conditions are set and to make the material samples for testing. Following are the different tests that are carried out in the present study.

        1. Micro hardness testing (Vickers Hardness)

          For micro-hardness testing the specimens were prepared using standard procedure like belt grinding, polishing using successively fine grades of emery up to 2500 grit size. This is help-full in removing coarse and fine oxide layer as well as scratches on the surface that were to be metalographically analysed.

          Micro-hardness tester was used to measure micro-hardness at different weld-ments. A load of 100 gf and dwell time 10 second were used for these studies. Micro-hardness testing was extensively carried out on each weld-ment surface in the longitudinal direction each consecutive indent was made at a distance of 1mm, the indenter used in Vicker micro- Hardness test a square-based diamond pyramid, containing 1360 angle between opposite faces it assures a higher accuracy. It is because the diagonals of a square can be measured more

          accurately than the diameter of a circle. Therefore, the results obtained are more accurate. Another advantage of this test is that plastic deformation is caused even by lighter loads.

          Dwell time-20sec and at load -500g testing is done as shown in (Figure 2).

          Figure 2: Testing of micro-hardness.

        2. Impact testing

    Charpy impact specimen were prepared in accordance with ASTM E-23 standards which is charpy V notch testing of metallic materials. V- notch was prepared in the weld metal so as to make an assessment of the weldmetal toughness. Since the area affected by using different process parameter so it was important to study how the weldmetal impact strength changed due to change in process parameter during welding of joints the charpy V- notch values indicating the impact energy absorption by each of the welded specimen were recorded.

    Micro-hardness and Impact strength of tested work specimen is shown in (Table 4)

    Table 4: Micro-hardness and Impact strength.

    Freque-ncy (HZ)

    Curr- ent (A)

    S.G.F.R

    (l/m)

    % Time electrode

    +

    (µs)

    Mean Micro Hardness

    (VHN)

    Mean Impact Strength

    (joules)

    HF

    85

    10

    60

    69.82

    6

    HF

    85

    12

    65

    71.04

    6

    HF

    /td>

    85

    14

    70

    73.2

    5

    HF

    95

    10

    60

    79.5

    4

    HF

    95

    12

    65

    81.86

    4

    HF

    95

    14

    70

    83.32

    4

    HF

    105

    10

    65

    89.0

    3

    HF

    105

    12

    70

    89.5

    3

    HF

    105

    14

    60

    101.4

    2

    LF

    85

    10

    70

    57.56

    7

    LF

    85

    12

    60

    69.0

    6

    LF

    85

    14

    65

    69.54

    6

    LF

    95

    10

    65

    76.32

    5

    LF

    95

    12

    70

    76.48

    5

    LF

    95

    14

    60

    83.9

    4

    LF

    105

    10

    70

    86.6

    4

    LF

    105

    12

    60

    87.04

    3

    LF

    105

    14

    65

    88.86

    3

  4. RESULT AND DISCUSSION

      1. Experimental results- The results obtained after performing welding and testing of AMMCs (Al6063/15%SiCp) metal matrix composite, work specimens is listed in (Table 5).

        Fre que

        ncy (H

        Z)

        Cur rent (A)

        S.G. F.R

        (l/m)

        PTE P %

        Time electr ode +

        Mea n Micr o Hard ness (VH

        N)

        Mean Impac t Streng th (joules

        )

        S/N ratio Mea n Micr o- hard

        ness

        S/N ratio Mean Impac t Streng th

        HF

        85

        10

        60

        69.82

        6

        36.87

        96

        15.563

        0

        HF

        85

        12

        65

        71.04

        6

        37.03

        01

        15.563

        0

        HF

        85

        14

        70

        73.2

        5

        37.29

        02

        13.979

        4

        HF

        95

        10

        60

        79.5

        4

        38.00

        73

        12.041

        2

        HF

        95

        12

        65

        81.86

        4

        38.26

        14

        12.041

        2

        HF

        95

        14

        70

        83.32

        4

        38.41

        50

        12.041

        2

        HF

        105

        10

        65

        89.0

        3

        38.98

        78

        9.5424

        HF

        105

        12

        70

        89.5

        3

        39.03

        65

        9.5424

        HF

        105

        14

        60

        101.4

        2

        40.12

        08

        6.0206

        LF

        85

        10

        70

        57.56

        7

        35.20

        24

        16.902

        0

        LF

        85

        12

        60

        69.0

        6

        36.77

        70

        15.563

        0

        LF

        85

        14

        65

        69.54

        6

        36.84

        47

        15.563

        0

        LF

        95

        10

        65

        76.32

        5

        37.65

        28

        13.979

        4

        LF

        95

        12

        70

        76.48

        5

        37.67

        10

        13.979

        4

        LF

        95

        14

        60

        83.9

        4

        38.47

        52

        12.041

        2

        LF

        105

        10

        70

        86.6

        4

        38.75

        04

        12.041

        2

        LF

        105

        12

        60

        87.04

        3

        38.79

        44

        9.5424

        LF

        105

        14

        65

        88.86

        3

        38.97

        41

        9.5424

        Table 5: Experimental Results

      2. ANALYSIS OF MICRO-HARDNESS (VHN)

        Dependable variable is micro-hardness and there are four factors namely frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs). It constructs various tests and graphs to determine which factors have a statistically significant effect on micro-hardness in following (Table-6).

        Table 6: Analysis of variance for S/N ratios

        Parameter s

        Degree of Freedom

        (DF)

        Sum of Squares

        (SS)

        Mean Squares

        (MS)

        F-

        Valu e

        P-Value

        Frequency

        1

        1.3267

        1.3268

        13.5

        1

        0.006

        Current(A

        )

        2

        18.0047

        9.00234

        91.6

        9

        0.000

        SGFR

        (l/m)

        2

        1.7998

        0.89990

        9.17

        0.009

        PTEP (µs)

        2

        0.6027

        0.30135

        3.07

        0.102

        Frequency

        *Current( A)

        2

        0.1853

        0.09263

        0.94

        0.429

        Residual

        Error

        8

        0.7854

        0.09818

        Total

        17

        22.7046

        Since the P-value in the Table 6 is less than 0.05, there is a statistically significant relationship between the variables at the 95.0% confidence level The dependable variable micro- hardness (VHN) and four independable variables namely frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs) are studied to test the significance and to develop the model.

        4.2.1 Main Effects Plot for S/N ratios

        The main effect plots for S/N ratios are shown in Figure 3. These show the variation of micro-hardness (VHN) with the four parameters i.e. frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs) separately. In the plots, the x-axis indicates the value of each process parameter at two levels for frequency and

        three levels for other three factors, y-axis the response value. Horizontal line indicates the mean value of the response. The main effects plots are used to determine the optimal design conditions to obtain the optimum micro-hardness (VHN). Main effects plot for micro-hardness (VHN) are plotted between:

        1. Micro-hardness (VHN) Vs Frequency (Hz)

        2. Micro-hardness (VHN) Vs Current (A)

        3. Micro-hardness (VHN) Vs Shielding gas flow rate (l/m)

        4. Micro-hardness (VHN) Vs Percentage time electrode positive (µs)

        There are two levels for frequency and three levels of each other three factors thus effect of each factor is plotted by the lines of graph. Figure 3 shows the main effects plot for S/N ratios which shows that the current (A) has more significant effect on the micro-hardness. Micro -hardness increases linearly with the increase in frequency. The main effects plot between micro-hardness (VHN) and current (A) shows that micro-hardness increases with increase in current. The plot between micro-hardness (VHN) and shielding gas flow rate (l/m) shows that micro-hardness increases, with increase in shielding gas flow rate. The main effects plot between micro-hardness (VHN) and percentage time electrode positive (µs) shows that the micro-hardness decreases linearly with increase in percentage time electrode positive.

        Figure 3: Main Effects Plot for S/N ratios

        The optimal parameters of micro-hardness are A1B3C3D1(Frequency 60 (Hz), current 105A, shielding gas flow rate 14 l/m, percentage electrode positive 60 µs). According to the present study, it can be inferred that the parameter current (A) have the most significant effect on micro-hardness (VHN).

        Interaction Plot for SN ratios

        The term interaction, expressed by inserting x mark between the two interacting factors, is used to explain a condition in which the influence of one factor upon the result, is dependent on the condition of the other. Two factors A and B are said to

        interact written as (A x B) when the effect of changes in the level of A, determines the influence of B and vice versa [12].

        Figure 4: Interaction Plot for S/N ratios

        Figure 5: Interaction Plot for Mean Micro-hardness (VHN)

        Figure 4 and 5 shows the interaction plot for S/N ratios and mean micro-hardness. Interaction plots are graphic representation of interaction information in the experiment. If there is absolutely no interaction, these lines would be parallel. The stronger the interaction, the more different the shapes of the lines would be. In the present study interactions are studied among frequency and current, since lines are nearly parallel, hence no interaction.

      3. Analysis Of Impact Strength (J)

        Dependable variable is impact strength and there are four factors namely frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs). It constructs various tests and graphs to determine which factors have a statistically significant effect on impact strength in following Table 7 Since the P-value in the Table 7 is less than 0.05, there is a statistically significant relationship between the variables at the 95.0% confidence level The dependable variable impact strength (Joule) and four undependable variables namely frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs) are studied to test the significance and to develop the model.

        Table 7: Analysis of variance for S/N ratios

        Paramet- ers

        Degree of Freedom (DF)

        Sum of Squares (SS)

        Mean Squares (MS)

        F-

        Value

        P-Value

        Frequency

        1

        9.130

        9.1301

        30.36

        0.001

        Current(A)

        2

        113.710

        56.8552

        189.05

        0.000

        SGFR

        (l/m)

        2

        10.153

        5.0763

        16.88

        0.001

        PTEP (µs)

        2

        5.244

        2.6222

        8.72

        0.001

        Frequency

        *Current( A)

        2

        0.839

        0.4196

        1.40

        0.302

        Residual Error

        8

        2.406

        0.3007

        Total

        17

        141.482

        4.3.1 Main Effects Plot for S/N ratios

        The main effect plots for S/N ratios are shown in Figure 6. These show the variation of impact strength (Joules) with the four parameters i.e. frequency (Hz), current (A), shielding gas flow rate (l/m) and percentage time electrode positive (µs) separately. In the plots, the x-axis indicates the value of each process parameter at two levels for frequency and three levels for other three factors, y-axis the response value. Horizontal line indicates the mean value of the response. The main effects plots are used to determine the optimal design conditions to obtain the optimum impact strength (Joules). Main effects plot for of impact strength (Joules) are plotted between

        1. impact strength (Joules) Vs Frequency (Hz)

        2. impact strength (Joules) Vs Current (A)

        3. impact strength (Joules) Vs Shielding gas flow rate (l/m)

        4. impact strength (Joules) Vs Percentage time electrode positive (µs)

    Figure 6: Main Effects Plot for S/N ratios

    There are two levels for frequency and three levels of each other three factors thus effect of each factor is plotted by the lines of graph. Figure 5.10 shows the main effects plot for S/N ratios which shows that the current (A) has more significant effect on the impact strength. Impact strength increases linearly with the decrease in frequency. The main effects plot between impact strength and current (A) shows that impact strength decreases with increase in current.

    The main effects plot between impact strength and shielding gas flow rate (l/m) shows that impact strength increases, with decrease in shielding gas flow rate. The main effects plot between impact strength and percentage time electrode positive (µs) shows that the impact strength increases with increase in percentage time electrode positive.

    The optimal parameters of impact strength are A2B1C1D3.

    (Frequency 2 or LF as 50 (Hz), current 85A, shielding gas flow rate 10 l/m, percentage electrode positive 70 µs). According to the present study, it can be inferred that the parameter current (A) have the most significant effect on impact strength.

    Interaction Plot for S/N ratios

    Figure 7 and 8 shows the interaction plot for S/N ratios and mean impact strength. In the present study interactions are studied among frequency and current, since lines are nearly parallel, hence no interaction.

    Figure 7: Interaction Plot for S/N ratios

    Figure: 8: Interaction Plot for Mean Impact strength (joule)

  5. CONCLUSIONS

The analysis of result obtained from Optimization of TIG Welding Process Parameters Al6063/15%SiCp Metal Matrix Composite may be concluded as follows:

  • Micro-hardness increases linearly from LF, 50 Hz to HF, 80 Hz

  • Micro-hardness increases linearly from current 85 to 105 Amp. with slight fluctuation of linearity at 95 Amp.

  • Micro-hardness increases linearly from shielding gas flow rate (SGFR) 10 to 14 Liter/min.

  • Micro-hardness decreases linearly from percentage time electrode positive (PTEP) 60 to 70 µs

  • The optimal parameters of micro-hardness are A1B3C3D1

    (Frequency 80 Hz, current 105 A, SGFR 14 l/m, PTEP 60 µs)

  • Impact strength incrases linearly from HF, 80 Hz to LF, 50 Hz

  • Impact strength increases linearly from current 105 to

    85 Amp. with slight fluctuation of linearity at 95 Amp.

  • Impact strength increases linearly from shielding gas flow rate (SGFR) 14 to10 Liter/min. with slight fluctuation of linearity at 12 Liter/min.

  • Impact strength decreases linearly from percentage time electrode positive (PTEP) 70 to 60 µs with slight fluctuation of linearity at 65 µs

  • The optimal parameters of impact strength

A2B1C1D3

(Frequency 50 Hz, current 85 A, SGFR 10 l/m, PTEP 70 µs)

ACKNOWLEDGMENT

The authors are thankful to Asst. Prof. A.S. Verma, H.O.D.; and all members of Faculty of Mechanical Engineering Department, K.I.T., Kanpur, for providing necessary facilities for the preparation of the paper.

REFERENCES

  1. Meyers, M.A. & Chawla, K.K., Mechanical behavior of materials, 1998, Practice hall, Englewood Ellifs, N.J.

  2. Huang jihua, Dong yueling, Wan yun, Joining of SiCp/Al composites by insert powder layers, Transactions of Nonferrous Metals Society China 2005 vol.15 no.5

  3. P.P. Lean, L.Gil, A. Urena, Dissimilar joints between unreinforced AA6082 and AA6092/SiC/25p composite by pulsed MIG arc welding using unreinforced filler alloys(Al-5Mg and Al-5Si), Journal of material processing technology 2003, pp.846-850.

  4. Padmanaban,G. and Balasubramanian,V. Influences of Pulsed Current Parameters on Mechanical and Metallurgical Properties of Gas Tungsten Arc Welded AZ31B Magnesium Alloys, Metals and Materials International, 2011 Vol.17 pp. 831-839

  5. Garcia, R. Lopez, V. H. and Bedola, E. a comparative study of the MIG welding of AI/TiC Composites using direct and indirect electric arc processes, Journal of Materials Science, 2003 Vol.38 pp.2771 2779

  6. Xi-he. Wang, Ji-tai, Niu. Shao-kang, Guan. Le-jun, Wang. Dong-feng, Cheng. Investigation on TIG welding of SiCp- reinforced aluminiummatrix composite using mixed shielding gas and AlSi filler, Materials Science and Engineering A, (Elsevier) 2009 Vol.499 pp.106110

  7. Montgomery, D.C. and Runger, G.C. (2004) Introduction to Linear Regression Analysis, USA: John Wiley & Sons, INC.

  8. Manoj singla, D. Deepak dwivedi, Lakhvir singh and Vikas chawla, Development of aluminium based silicon carbide particle Metal Matrix Composites, Journal of Minerals & Materials Characterization & Engineering, 2009, Vol. 8, No.6, pp 455-467

  9. Singh, S., Maheshwari, S. and Pandey, P.C., Optimization of multiperformance characteristics in electric discharge machining of aluminium matrix composites (AMCs) using Taguchi DoE methodology, International Journal of manufacturing research. Inderscience, 2007, 2(2), 138-161.

  10. Parmar, R.S. welding engineering and technology Khanna publishers second edition 2010 pp.488

  11. Raghuwanshi, B.S. workshop technology vol.1 Dhanpat Rai & Co. 2011 pp. 114

  12. Roy, R.K., 1990, A Primer on Taguchi Method, Van Nostrand Reinhold, New York.

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