“…Thus, appropriate treatment of uncertainty in fatigue design has become a significant topic with widespread interest [17]- [24]. Prior work on statistical or probabilistic aspects of fatigue includes modeling of the variability in material properties (e.g., elastic modulus, fracture toughness, yield strength) [6], [17], [25]- [27], equivalent initial flaw size (EIFS) [21], [28]- [30], microstructures as well as defects [31]- [35], stress-life data [36]- [39], and under multiaxial conditions [40]- [45]. Generally, two aspects need to be addressed for probabilistic fatigue design: a valid PoF-based fatigue model and a probabilistic framework for treating both the random material variables and the uncertainty on model parameters in the fatigue model [46], which has been reviewed in detail recently by Pineau et al [47].…”