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This paper proposes a new and improved way to determine the dependency of the parameter that characterizes the process zone size ∫ with fatigue life  N  f . Thus, unlike the classical approach, this approach has the advantage of allowing the construction of a ∫ versus  N  f  relationship, which is independent of the type of test used for calibration. In order to define the new relationship, a calibration strategy is presented considering the critical plane models based on the Fatemi-Socie and Smith-Watson-Topper. The accuracy of the method is verified by using data sets taken from the literature. A study on the effect of stress ratio (R) on the behaviour of the ∫ versus  N  f  relationship is presented and indicates that, although such relationship seems to depend on the R value used in the calibration, the life predictions obtained by these relationships are statistically similar.

Generalization of the theory of critical distance to estimate lifetime of notched components in the medium-cycle fatigue regime