Analysis of selected mathematical models of high-cycle S-N characteristics

Przemysław Strzelecki

Janusz Sempruch

Tomasz Tomaszewski


The paper presents two approaches of determining S-N fatigue characteristics. The first is a commonly used and well-documented approach based on the least squares method and staircase method for limited fatigue life and fatigue limit, accordingly. The other approach employs the maximum likelihood method. The analysis of the parameters obtained through both approaches exhibited minor differences. The analysis was performed for four steel construction materials, i.e. C45+C, 45, SUS630 and AISI 1045. It should be noted that the quantity of samples required in the second approach is significantly smaller than with the first approach, which translates into lower duration and costs of tests.


high-cycle fatigue, S-N curve, fatigue tests, number of specimen, steel strength

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Cited by

Strzelecki, P., Sempruch, J., & Tomaszewski, T. (2017). Analysis of selected mathematical models of high-cycle S-N characteristics. Technical Sciences, 20(3), 227–240.

Przemysław Strzelecki 

Janusz Sempruch 

Tomasz Tomaszewski