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Geometry Variation and Lije Estimates of Biaxial Fatigue Specimens   487

           used to modify the fatigue strength reduction factor, Kf. An attempt was made [ 113 to use a
           similar approach for high strain situations by calculating a ‘critical volume’ and using a strain
           energy based argument to modify the elastic strength reduction factor, Kf. However, this was
           not supported by physical explanation. Moreover, it was argued previously [20] that total strain
           energy density could not be used in the case of combined loading.
             Further work was carried out [12] predominantly in the elastic field, using a similar local
           damage zone approach to modify the Dang-Van parameter [13]. This was, to some extent, the
           application of the Shatil and Smith gradient approach [6] to re-examine earlier work carried out
           by papadopolos et al [9].


                             Table 1.  Summary of subsurface fatigue models


                  Subsurface model         Criterion Used        Fatigue Regime


                Flavenot and Skalli [SI                              HCF


                Munday  and  Mitchell                                HCF
                r71


                Shatil and Smith [6]                             LCF and HCF


                Papadopoulos and
                Panoskaltsis [9, IO]                              Endurance


                Qilafku et al. [SI           .  Xef                  HCF




                Bentachfine et al. [ 111                         LCF and HCF
                                      kf




                Qilafku et al. [ 121
                                                                    HCF
   498   499   500   501   502   503   504   505   506   507   508