Modeling of the Probabilistic Fatigue S-N Curves Using the Two Parameter Weibull Distribution

Abstract

Abstract： Modeling and construction method of the probabilistic fatigue S-N curves are developed using the two parameter Weibull distribution for describing random rolling contact fatigue stress amplitude-life relations. Except for the statistical distributed regularities of the random relations, a least norm life confidence bound assessment is incorporated into the modeling for considering risk effect related to limited sampling size. The scale and shape parameters of the distribution, the statistical parameter for the confidence assessment, and the exponents of the S-N curves are all determined by the test data set. Applicability of the present method has been well verified by treating the rolling contact fatigue test S-N data of G20CrNi2Mo bearing steel. In addition, a skew statistical model is proved to be suitable for characterizing the statistical distributed regularities of the rolling contact fatigue life data.

Effect of Quenching Temperature on Microstructure and Rolling Contact Fatigue Behavior of 17Cr2Ni2MoVNb Steel

“…The Weibull distribution is widely used to assess the statistical behavior of the fatigue life [21,22]. In this work, two-parameter weibull distribution is used to characterize the RCF life of 17Cr2Ni2MoVNb steel.…”

Fatigue Failure Analysis on Precracked 304 Stainless Steel Components Repaired by Laser with Addition of Nanocomposites

“…As a scientific method of structural fatigue life assessment, the fatigue reliability analysis based on probability S-N curve is widely used in engineering. This analysis method is mainly based on random concepts and statistical methods to study the distribution law of fatigue life under a specific survival probability [11][12][13]. The probabilistic stress-life curve is constructed base on the qualitative S-N relation model such as Basquin equation, three parameter equation and Langer equation.…”