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    TENSILE TEST

    Objective(s):

    To ascertain and compare the following mechanical properties between three materials (i.e.

    aluminum, mild steel and brass): strength, ductility, and stiffness.

    Strength: to calculate yield strength and tensile / ultimate strength (UTS) via the stress-

    strain curve.

    Ductility: to determine % elongation and % reduction of area.

    Stiffness: to determine the modulus of elasticity ().

    Theory:

    The tensile test also known as tension test, is carried out by pulling on something to ascertain

    how the material reacts to forces being applied in tension. As the material is pulled, one can

    determine the materials tensile strength and by how much it will elongate. During testing,

    tensile strength is the stress at which a material breaks or permanently deforms (i.e. load is

    applied gradually and is increased until the material fails). This test is therefore a destructive test.

    The type of equipment that will be used in the laboratory to conduct this test, is a hydraulic

    machine which is the tensile test machine. An extensometer will also be used to measure the

    change in length in each specimen when the load is applied. From this test the following will be

    determined: yield strength, ultimate strength, ductility and stiffness.

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    Equipment and materials:

    Three samples: Mild Steele, Aluminum and Brass

    Extensometer

    Gauge Mark Punch

    Tensile Test Machine (Tinius Olsen:400000 pound capacity)

    http://www.google.tt/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=VkqTDpc0pGD3EM&tbnid=yqZDhDcGBcy66M:&ved=0CAUQjRw&url=http://www.substech.com/dokuwiki/doku.php?id=tensile_test_and_stress-strain_diagram&ei=8_h5UsHBLs3NkQfAiYDYCw&bvm=bv.55980276,d.eW0&psig=AFQjCNGpr2KjBhwMuXNXqZrGRbiUrIp4uQ&ust=1383811684421851http://www.google.tt/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=tU-q3PO8woAvrM&tbnid=avLUNbqKhGeBKM:&ved=0CAUQjRw&url=http://www.lboro.ac.uk/microsites/mechman/research/mechanics-adv-materials/equipment/machines/hounsfield.html&ei=k_h5Uuz9Msr6kQean4DoCw&bvm=bv.55980276,d.eW0&psig=AFQjCNFK6vk8cWTZ1triOgY8wc-PduRFaQ&ust=1383811581697007http://www.google.tt/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=VkqTDpc0pGD3EM&tbnid=yqZDhDcGBcy66M:&ved=0CAUQjRw&url=http://www.substech.com/dokuwiki/doku.php?id=tensile_test_and_stress-strain_diagram&ei=8_h5UsHBLs3NkQfAiYDYCw&bvm=bv.55980276,d.eW0&psig=AFQjCNGpr2KjBhwMuXNXqZrGRbiUrIp4uQ&ust=1383811684421851http://www.google.tt/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=tU-q3PO8woAvrM&tbnid=avLUNbqKhGeBKM:&ved=0CAUQjRw&url=http://www.lboro.ac.uk/microsites/mechman/research/mechanics-adv-materials/equipment/machines/hounsfield.html&ei=k_h5Uuz9Msr6kQean4DoCw&bvm=bv.55980276,d.eW0&psig=AFQjCNFK6vk8cWTZ1triOgY8wc-PduRFaQ&ust=1383811581697007
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    Procedure:

    The vernier caliper was used to measure the gauge length of each sample between punch

    marks and measurements were recorded. The thickness and width of the samples were also

    measured and recorded. The sample was then placed in the testing machine ensuring that the

    axis of the specimen was in alignment with the direction of the pull. The values of gauge

    length, thickness and width were then entered into the computer software. The tensile

    machine was then zeroed and the test was started using the computer software. The sample

    was pulled until it fractured. A force vs. elongation graph was then obtained for each

    specimen and this was used for calculations. The broken sample was removed and placed

    together and the new distance was measured between the gauge marks. The thickness and

    width around the fracture point were also measured.

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    Results and calculations:

    Table 1 showing measured and calculated readings

    Mild Steele (mm) Aluminum (mm) Brass (mm)

    Gauge length 90.24 91.16 91.2

    Thickness 2.92 3.12 3.19

    Width 7.89 7.33 8.16

    Final Length 110.98 97.66 105.11

    Final Thickness 2.24 2.92 2.59

    Final width 6.24 6.499 7.15

    Initial Cross Sectional Area

    (mm2)

    2.92*7.89

    = 23.0388

    3.13*7.33

    = 22.9429

    3.19*8.16

    =26.0304

    Final Cross Sectional Area (mm ) 2.24*6.24

    =13.98

    2.92*6.499

    =18.98

    2.59*7.15

    =18.52

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    Table 2 showing comparison of results

    Mild Steel Aluminum Brass

    Ultimate Tensile Stress (MPa) 342.22 229.56 352.16

    Yield Strength (MPa) 253.18 205.87 290.27

    % Elongation (%) 23.0 7.13 15.25

    % Reduction in Area (%) 39.2 17.27 28.9

    Modulus of Elasticity () 3238.13mm 1353mm 3873.24mm

    Sample calculations:

    Tensile Strength/Ultimate tensile strength (UTS):

    Maximum load/Original Area = Maximum Load/ (width * thickness of specimen)

    Mild Steel: 8000/ (2.92*7.89) = 347.22

    Yield Strength:

    Yield Load/Original area or Yield Load (0.2% offset)/Original area

    Mild Steel: 5833/23.04 = 253.18

    % Elongation:

    Increase in length * 100

    Initial Length

    Mild Steel: (20.74/90.24)* 100

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    % Reduction of Area = (Decrease in Area/ Initial Area) * 100:

    Mild steel = (9.0588/23.0388)*100

    Modulus of Elasticity ()

    Stress/Strain = y/x

    Mild steel: 5833.40-166.68/1.75-0 = 3.24N/mm

    Discussion:

    Table 2 shows measurements of mechanical properties obtained through tensile testing which

    includes yield strength, tensile strength, ductility and modulus of elasticity. According to table 2,

    brass showed the highest value for both ultimate tensile strength and yield strength. These values

    were 352.16 and 253.18 MPa respectively, followed by mild steel and aluminum. From the

    results generated, it was observed that brass was the strongest and aluminum was the weakest of

    the three specimens being tested (i.e. order of strength was: brass > mild steel> aluminum).

    According to Calister (2007), the stress level at which plastic deformation begins is the point of

    yielding. For metals that experience this elastic-plastic transition, the point of yielding was

    determined by the initial departure from the linearity of the stress-strain curve. This was the

    proportional limit and it was established by the construction of a straight line parallel to the

    elastic portion of the stress-strain curve; on the strain axis, 0.02% was offsetted by the

    constructed line. The stress corresponding to the intersection of this line and the stress-strain

    curve as it bends over to the plastic region was the yield strength and this was determined from

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    both aluminum and brass (4708.35 N and 7555.60 N) strength test graphs respectively. The

    magnitude of the yield strength for a metal was a measure of its resistance to plastic deformation.

    Theoretically, yield strength ranges from 35MPa for aluminum to over 1400 MPa for high-

    strength steels. This range generally corresponded to the results obtained from the experiment

    which was 253.18, 205.87 and 290.27 MPa for mild steel, aluminum and brass respectively.

    Tensile strength however, was the stress at maximum on the stress-strain curve. This

    corresponded to the maximum stress that could be sustained by a structure in tension; all

    deformation up to this point was confined at the neck. This phenomenon is called necking and

    fracture occurs at that point. Tensile stress vary from approximately 50 MPa for aluminum to as

    high as 3000 MPa for high-strength steels. This range also corresponded relatively to the results

    obtained from the experiment conducted which was 342.22, 229.56 and 352.16 MPa for mild

    steel aluminum and brass respectively. The deviation between experimental and theoretical

    results could be attributed to the difference in sample size taken. Since the theoretical results

    obtained was for a sample of 55 mm in length, whereas the gauge length used in this experiment

    was 91.20 mm, 91.16 mm, and 90.24 mm for brass, aluminum and mild steel respectively.

    Consequently, results obtained from this experiment would be higher than the theoretical results,

    because dimensions from the samples given were different from the theoretical sample.

    Another mechanical property tested was ductility, for the three samples given. Ductility, was a

    measure of the degree of plastic deformation that has been sustained at fracture (Calister, 2007).

    A material that showed negligible or no plastic deformation upon fracture is termed brittle. In

    this experiment ductility was expressed quantitatively as percent elongation and percent

    reduction in area. Table 2 showed mild steel was relatively most ductile, whereas brass was

    relatively the least amongst specimens given. This was expected, because materials that were

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    increasing in strength exhibit decreasing ductility. Furthermore, ductility could be attributed to

    the presence of metallic bonds. In metallic boning, valence shell electrons are delocalized and

    shared between many atoms; these delocalized electrons allow metal atoms to slide past one

    another without being subjected to strong repulsive forces from one another. This is made

    possible by the presence of slip systems. As a result, the more slip systems a metal has the more

    ductile is the material. From table 2 it was inferred that mild steel has the most slip systems

    relative to aluminum and brass which accounted for its high ductility. Also, the degree of

    impurities present was another factor that affected ductility for the samples given. The more

    concentration of impurities a metal has the more brittle and harder the metal becomes and

    therefore it was inferred that mild steel had least amount of impurities in comparison to

    aluminum and brass.

    Lastly, mild steel showed the highest percentage in reduction in area relative to aluminum and

    brass. This demonstrated why mild steel was the most ductile in comparison to aluminum and

    brass, since materials with high ductility also showed high values of reduction in area and

    percentage elongation.

    Modulus of resilience or Youngs modulus was the strain energy per unit volume required to

    stress a material from unloaded state up to the point of yielding. Resilient materials were

    identified by having high yield strengths and low moduli of elasticity (i.e. aluminum and mild

    steel). Thus, the higher the modulus of resilience value of the material the stiffer the material and

    the less deflection would occur when load was applied (for example brass).

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    Conclusion

    Tensile test was conducted to deduce and specify the physical and mechanical properties of

    materials given. Tensile test data was used to construct a stress-strain curve for each test

    specimen. The results represent the action of the material in service (Horath 2001). Two main

    points that arise from the stress-strain curve were the yield point and ultimate tensile stress of the

    material. These values provided information on the load-bearing capabilities of each sample

    material. Percentage elongation and reduction in area gave an indication of the deformation of

    material under experimental conditions. The amount of deformation a material exhibits before

    failure, was used to determine whether the specimen was brittle or ductile. Young modulus

    showed the resilience or elastic stiffness of the material. It was determined by finding the

    gradient within the elastic limit of the stress-strain curve.

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    References:

    Callister.William.D. Jr.,2007.Material Science and Engineering.7th

    edition.John Wiley &

    Sons:York PA.

    Horath.Larry.,2001.Fundamentals of Materials Science for Technologist.2nd

    Edition.Prince Hall

    Inc: New Jersey.

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    CHARPY TEST

    Objective(s):

    1. To determine whether the material samples given experienced ductile to brittle transition

    at 280

    C using the Charpy energy impact test.

    Theory:

    The Charpy test is a technique that is designed to measure the impact energy which is also

    known as notch toughness. The principle of operation is that a pendulum is allowed to fall from a

    fixed height and in doing so, develops kinetic energy. Part of this energy is absorbed in

    fracturing the specimen so that the pendulum rises to a reduce height after it has broken the

    specimen (as shown in figure 1 below). The energy absorbed by specimen is indicated on the

    machine.

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    Figure 1 showing impact testing apparatus along with specimen used (Calister, 2007)

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    Experiment and Materials:

    Three sample materials i.e. mild steel, aluminum and brass

    Charpy Impact tester

    Procedure:

    The impact testing scale was tested for possible error and the error was calibrated and recorded

    as 0.5 oat. The hammer was then lifted and set into the start position. A v-notched square

    material sample was placed in the line of impact of hammer of the machine. The hammer was

    released and struck the sample and the impact on the sample was recorded. This procedure was

    repeated for brass, aluminum and mild steel samples.

    Results:

    Table 1 showing original results obtained

    Sample Energy absorbed % cleavage

    Aluminum 10.0 J 9 mm

    Brass 8 J 9 mm

    Mild steel 19 J 9 mm

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    Table 2 showing results after 0.5 J deducted due to friction

    Sample Energy absorbed

    Aluminum 9.5

    Brass 7.5

    Steel 19

    Table 3 showing class results (group 2)

    Sample Energy absorbed %cleavage

    Aluminum 10-.05 J = 9.5 J 9

    Brass 7.5-.05 J = 7.0 J 9

    Steel 39.5 -0.5 J = 39 J 9

    Discussion:

    The Charpy impact test determines the amount of energy sustained by a material upon impact.

    The energy absorbed by the material was recorded as material toughness in Joules. Toughness

    mainly depended on ductility and strength of a material. Amongst the samples being tested, it

    was found that mild steel was relatively tougher than aluminum and brass. This was an indication

    how well a material could withstand shock loading due to ductility and strength of that material.

    One of the main objective of the Charpy test was to determine the ductiletobrittle transition

    of the material at a given temperature. According to Calister (2007), the ductile to brittle

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    transition was related to the temperature dependence of the measured impact energy absorption.

    At higher temperatures Charpy v-notch energy would be relatively large in correlation with a

    ductile mode of fracture. When temperatures decreased, the impact energy drops abruptly over a

    narrow temperature range, below which the energy has a constant but small value; that is, the

    mode of fracture is brittle. From results obtained (including class results), impact energy for mild

    steel was relatively the highest at 280C, this showed a ductile mode of fracture. In addition,

    appearance of the failure surface of a material was also an indication of the nature of the fracture.

    For mild steel, the fracture appeared fibrous or dull and this was indicative of ductile fracture. In

    contrast to brass and aluminum, the fractured surface appeared shinny in texture and this was

    indicative of a brittle fracture.

    Conclusion:

    The Charpy test was an energy impact test which determined the behavior of materials under

    sudden sharp blows. In this test the, a pendulum of known weight was suspended at a known

    angle above the sample. The pendulum was then released and swings through an arc through the

    specimen. The angle through which the pendulum breaks the specimen gave the energy absorbed

    by the specimen tester. For this experiment it was found that mild steel absorbed more energy

    upon impact than aluminum and brass and therefore its fracture was ductile in nature relative to

    aluminum and brass.

    References:

    Callister.William.D. Jr.,2007.Material Science and Engineering.7th

    edition.John Wiley &

    Sons:York PA.

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    Hardness Test

    Objective:

    To determine the hardness of aluminum, brass and mild steel using Brinnel and Rockwell

    testing methods.

    To estimate the ultimate tensile stress for each sample.

    To determine each materials ability withstand compressive loading and abrasion.

    To determine if the samples meet the requirements of a nationally recognized standard

    for hardness and/or ultimate tensile strength.

    Theory:

    Hardness is usually referred to as a materials property that indicates resistance to surface

    penetration. In this experiment the Brinnel and Rockwell test methods were utilized to

    determine the samples mechanical property, namely hardness. The Brinnel test is a static

    hardness test that involves pressing a hardened steel ball into a test sample. Usually, a 10-cm

    case-hardened steel or tungsten carbide ball under a 3000-kg load for hard metals, a 1500-kg

    load for metal of intermediate hardness and a 500-kg or lower for soft materials. The Rockwell

    test is similar to the Brinnel test in that the hardness number found is the degree of indentation of

    the test piece caused by an indenter under a given static load. However, the Rockwell test differ

    from the Brinnel test in principle in that it is conducted with a choice of three different loads and

    three different indenters. It differs from the Brinnel test in that the indenters and the loads are

    smaller, and the indentation made by the load is smaller and shallower. The Rockwell test is

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    applicable to testing of materials beyond the limitations of the Brinnel test, and it is faster due to

    random direct readings (Horath, 2001).

    Experiment and Materials:

    Samples of steel, aluminum alloys and brass.

    Rockwell Hardness tester.

    Brinnel Hardness tester.

    File.

    Samples were flat and free of burrs, dirt or scale which may crush during testing (giving low

    readings) or may damage the indentor. A suitable load and indentor for each tester was selected.

    The center of all test locations must be at least 2 diameters from the edge of the specimen or

    the edge of other test locations.

    Brinnel Hardness Tester

    Each sample was raised on the table until it touches the 10 mm ball indentor. The hydraulic valve

    was then closed and pressure was applied until weights raise approximately inch. Full test load

    was then applied for ten to fifteen seconds. The hydraulic release valve was then opened and

    sample was removed. The hand microscope was used to measure the indentation diameter twice,

    each at 90 degrees to each other (0.05 mm accuracy). The results were then averaged and

    converted to a Brinnel hardness number using the chart or by calculation.

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    Rockwell Hardness Tester

    The sample was raised on the table until large needle rotates three times and was nearly vertical.

    The small needle was on the dot then the mirror load was applied. The outside ring was rotated

    on the dial so that the large needle was set on zero. The loading lever was released clockwise

    turn and the major load was then applied. When the large needle stops moving (approximately

    six seconds), the loading lever was returned to its original position. The hardness number from

    scale was then read (Black scale for Brale indentor and Red for steel ball indentor).

    File

    Each sample was stroked with a file and resulting marks were compared.

    Results:

    Table 1 showing result from Brinnel test

    Properties Mild steel Aluminum Brass

    d 4.5mm 2.4mm 3.4mm

    D 10 mm 10 mm 10 mm

    Pre-load kgf 10 10 10

    Major load kgf 3000 500 1000

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    Table 1a showing results from Brinnel test (for group 1)

    Properties Mild steel Aluminum Brass

    d 4.55 mm 2.4 mm 3.5 mm

    D 10 mm 10 mm 10 mm

    Pre-load kgf 10 10 10

    Major load kgf 3000 500 1000

    Table 1b showing results from Brinnel test (for group 2)

    Properties Mild steel Aluminum Brass

    d 3.5 mm 2.3 mm 4.4mm

    D 10 mm 10 mm 10 mm

    Pre-load kgf 10 10 10

    Major load kgf 3000 500 1000

    Table 2 showing results from Rockwell test

    Materials 1stReading 2

    nReading 3

    rReading Avg Reading

    Mild steel B68 B74 B71 B71

    Aluminum B56 B58 B57 B57

    Brass B67 B67 B68 B67

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    Table 2.a showing results from Rockwell test (for group 2)

    Materials 1stReading 2

    nReading 3

    rReading Avg Reading

    Mild steel B71 B70 B72 B71

    Aluminum B54 B58 B57 B56

    Brass B67 B67 B68 B67

    Table 2.b showing results from Rockwell test (for group 1)

    Materials 1stReading 2

    nReading 3

    rReading Avg Reading

    Mild steel B66 B69 B69 B68

    Aluminum B61 B62 B62.5 B61.8

    Brass B66 B69 B69 B68

    Table 3 showing calculated results from Brinnel test

    Sample material HB h

    Aluminum 109.8 kgmm-

    0.15 mm

    Brass 106 kgmm-

    0.300 mm

    Mild steel 179 kgmm-

    0.53 mm

    Key:

    HB = Brinnel Hardness, h = depth of indentation in milliliters

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    Sample calculations

    HB = 2F/ [.D (D(D2 - d

    2)1/2

    )] , h = F/(.D * HD)

    Where

    F is the major load, = 3.14, D = diameter of ball in milliliters, d = mean diameter of indentation

    in milliliters and h = depth of indentation in milliliters.

    Aluminum:

    HB = 2(500)/ [(3.14*10(10-(102- 2.4

    2)

    1/2)] = 109.8 km/mm

    2

    h = 500/ (3.14*10*5.23) = 0.15 mm

    Discussion:

    The mechanical property hardness, usually measures the material ability to resist localized

    plastic deformation (i.e. scratch or dent). Early hardness tests were based on natural minerals

    with a scale constructed solely on the ability of one mineral to scratch another that was softer

    (Calister, 2007). Two methods used for measuring hardness of a material were the Brinnel and

    Rockwell test. The Brinnel hardness numbers usually falls within a range of 90 to 630, with

    higher numbers indicating greater hardness. Brinnel hardness number was the pressure per unit

    area, in kilograms per square milliliter of the indentation that remained after the load was

    removed. The deeper the penetration, the larger the diameter of the indentation and the lower the

    hardness number. The Results from table 3 indicated, that mild steel had the highest Brinnel

    number which was 179.0 kg/mm2which showed greater hardness relative to aluminum and brass

    which was 109.8 and 106 kg/mm2respectively. This general trend also corresponded to the class

    results for the other groups. However, there were limitations associated with the Brinnel test.

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    Firstly, since the Brinnel test was a destructive test, indentation to the material was permanent

    and this rendered the sample unfit for further use. Thus, it was not well adapted for very hard

    materials as well as very thin pieces, where indentation may be much greater than the thickness

    of the material. This phenomenon could attributed to the deviation in results generated for mild

    steel and brass between all three groups as shown in tables 1, 1a and 1b respectively.

    The Rockwell test was another test employed in measuring hardness of sample materials given

    for the experiment. With this system, a hardness number was determined by the difference in

    depth penetration resulting from the application of an initial minor load followed by a major

    load. The use of the minor load was to enhance test accuracy. The minor and major load was

    10kg, and 100kg respectively. This method uses many scales and each scale was represented by

    a letter of the alphabet; this corresponded with the indenter and load used. The dial on the

    machine has two sets of figures one red and one black which differ by 30 hardness numbers. This

    dial was designated to standardize the B and C scales. The red scale was used for readings

    obtained through the use of ball indenters.

    For the purpose of this experiment, the B-scale was used, because the B-scale usually test

    materials of medium hardness between the ranges of 0 to 100. In a similar vein to the Brinnel

    test, the Rockwell test results from tables 2 and 2.a, showed that mild steel was found to have

    greater hardness than aluminum and brass.

    Limitations to the Rockwell test were as follows: for each scale, hardness may range up to 130;

    however, as hardness values rose above 100 or drop below 20 on any scale, they become

    inaccurate and because the scales have some overlap, in such situation it may be necessary to

    choose a another suitable scale (Calister, 2007). Secondly, inaccuracies could result, if sample

    material was too thin, and indentation was too close to upon one another. Thus indentation

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    diameter measurements would have been inaccurate and as a result group 1 results for mild steel

    and brass differs from groups two and three.

    Conclusion:

    In this experiment two methods were used to measure hardness of sample materials, these were

    the Brinnel and Rockwell test. From both test it was determined that mild steel was much harder

    in comparison to brass and aluminum. Though both test methods yielded relatively the same

    result, the scale by which they use were different in measuring indentation resistance.

    Reference:

    Callister.William.D. Jr.,2007.Material Science and Engineering.7th

    edition.John Wiley &

    Sons:York PA.

    Horath.Larry.,2001.Fundamentals of Materials Science for Technologist.2nd

    Edition.Prince Hall

    Inc: New Jersey.