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The Multiaxial Fatigue Strength of Specimens Containing Small Defects   249


           be predicted using Eq.(3) without the need for a fatigue test. In addition, the value of 4 can be
           estimated by stress analysis, as verified by Beretta and Muakami [21,22]. If the average value
           4 calculated by Beretta and Murakami is used, ie., 0.85, &.(lo)  becomes:
                        1.38(rJaW)’  + 0.176(aJq$  + 0.824(aJow) = 1            (1 1)

           This expression is considered to be applicable to specimens containing a round defect on or
           near the surface where plane stress condition is satisfied. The use of this expression will be
           demonstrated in the following.


           MATERIALS AND EXPERIMENTAL PROCEDURE

           The materials investigated in this study are: steels, nodular cast irons and a high strength brass.
           Although experimental data for an annealed steel and the cast irons have previously reported
           elsewhere  [23,24],  they  will  be  included below  for  purposes of  discussion. The  chemical
           compositions of the various metals are listed in Table 1. The 0.37 YO carbon steel (JIS S35C)
           was  annealed  at  860°C  for  1 hour.  The  Cr-Mo  steel  (JIS  SCM435) was  heat-treated by
           quenching from 860°C  followed by  tempering at  550°C.  The two  nodular cast  irons (JIS
           FCD400 and FCD700) have different matrix structures; ferritic for FCD4OO and almost pearlitic
           for FCD700. The cast irons and the brass were used in the as-received  condition. Mechanical
           properties are given in Table 2, and microstructures  are shown in Fig. 4.



           Table 1.  Chemical composition (wt.%)

                               C    Si   Mn    P     S    Cu   Ni   Cr   Mo   Mg
             S35C steel       0.37  0.21  0.65  0.019  0.017  0.13  0.06  0.14   -
             SCM435 steel     0.36  0.30  0.77  0.027  0.015  0.02  0.02  1.06  0.18   -
             FCD400castiron   3.72  2.14  0.32  0.008  0.018  0.04  -    -   0.038
             FCD700 cast iron   3.77  2.99  0.44  0.023  0.11   0.47  -   -   0.058
                                cu       Pb       Fe      Zn      Mn        A1
             High strength brass   59.1   0.0030   0.0032   bal.   0.02 1   0.0047


           Table 2.  Mechanical properties

                                          Tensile     Elongation %   Vickers hardness
                                          strength    (Gage length:   HV
                                          MPa         80 mm)        ( kgf/mm2)
             Annealed S35C steel          586         25            160
             Quenchedkempered SCM435 steel   1030     14            380
             FCD400 cast iron             418         25            190 (femte)
             FCD700 cast iron             734         8.0           330 (pearlite)
             High strength brass          467         42            110
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