Page 161 - Mechanical Behavior of Materials
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162                          Chapter 4  Mechanical Testing: Tension Test and Other Basic Tests

                                 2500                               300

                               σ   , Ultimate Strength, MPa  1500  Brinell  Vickers  200  σ   , ksi  u
                                 2000





                                 1000
                                                                   100
                                u
                                  500
                                   0                               0
                                    0   100  200  300  400  500  600  700
                                         HB  or HV, Hardness, kg/mm 2


            Figure 4.33 Approximate relationship between ultimate tensile strength and Brinell and
            Vickers hardness of carbon and alloy steels. (Data from [Boyer 85] p. 1.61.)

               Another hardness test that is somewhat similar to the Vickers test is the Knoop test. It differs
            in that the pyramidal indenter has a diamond-shaped base and in the use of the projected area to
            calculate hardness.

            4.7.3 Rockwell Hardness Test

            In the Rockwell test, a diamond point or a steel ball is employed as the indenter. The diamond point,
                                                               ◦
            called a Brale indenter, is a cone with an included angle of 120 and a slightly rounded end. Balls
            of sizes ranging between 1.6 mm and 12.7 mm are also used. Various combinations of indenter and
            force are applied in the regular Rockwell test to accommodate a wide range of materials, as listed
            in Table 4.8. In addition, there is a superficial Rockwell hardness test that uses smaller forces and
            causes smaller indentations.
               Rockwell tests differ from other hardness tests in that the depth of the indentation is measured,
            rather than the size. A small initial force called the minor load is first applied to establish a reference
            position for the depth measurement and to penetrate through any surface scale or foreign particles.
            A minor load of 10 kg is used for the regular test. The major load is then applied, and the additional
            penetration due to the major load is measured. This is illustrated by the difference between h 2 and
            h 1 in Fig. 4.34.
               Each Rockwell hardness scale has a maximum useful value around 100. An increase of one unit
            of regular Rockwell hardness represents a decrease in penetration of 0.002 mm. Hence, the hardness
            number is
                                                         h
                                           HRX = M −                                  (4.31)
                                                       0.002
            where  h = h 2 − h 1 is in millimeters and M is the upper limit of the scale. For regular Rockwell
            hardness, M = 100 for all scales using the diamond point (A, C, and D scales), and M = 130 for all
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