Page 270 - Biaxial Multiaxial Fatigue and Fracture
P. 270

254                              M. END0

             0.37 % carbon steel [17,23]  and nodular cast irons [23,24] previously reported, the fatigue limit
             is determined  by  the  threshold  condition  for  a  mode  I  crack  emanating  from  a  defect  and
             propagating in the direction normal to ~1
                It  has  also been  noted that holes  40 and  100 pm in diameter did not  lower the  fatigue
             strength of annealed 0.37  % carbon steels, under the  special condition of a large combined
             stress  ratio,  do. Those  hole-containing  specimens  did  not  break  as the  result  of  a crack
             emanating from the hole, but  rather from a crack which initiated from the smooth area at a
             stress level just above the fatigue limit. The critical size of a non-detrimental defect will be
             discussed below.



             Comparison of experimental and predicted results for hole-containing specimens

             Figures  9-11  show the  comparison  of the  experimental  data with  the  predictions  for hole-
             containing  specimens  for  two  steels  and  a high  strength  brass.  The  predicted  curves  were
             obtained by substituting 6 and Hvinto Eq.(3) and by inserting the value of a,  into Eq.( 1 1).
             The data points indicated by arrows in Fig. 9 are for the results of specimens containing a non-
             detrimental hole. Figure 12 presents the comparison for those three materials in a different
             manner. This figure has been normalized by dividing the values of o, and  T~ on the axes by the
             uniaxial fatigue limit, a,,  which was predicted by Eq.(3). In order to compare the predictions
             only with the experimental results controlled by a defect, in this figure, the results for the non-
             detrimental holes were not included. It is seen that the predictions for the fatigue limit of hole-
             containing specimens subjected to combined stress agree quite well with the experimental data.
             It is also emphasized that no experimental data were needed in making these predictions.




                             n          Experimental fatigue limit:
                             cd
                             I      -   0   Smooth




                                                         Prediction:   4











                                   0          100        200         300
                                      Axial stress amplitude,  a,  MPa
                       Fig. 9.  Comparison of predicted and experimental results for annealed
                        S35C steel specimens.
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