The outline of the method for determining the fatigue limit of an element of aeronautical construction with the use of the density function of time of the limit state exceedance

TL;DRAbstract

The paper [3] presents the outline of a probabilistic method for determining the fatigue limit of an element of construction with the use of the Paris formula for m = 2 and the density function of time of the limit state exceedance. This article presents also the method for determining the fatigue limit of an element of construction for the density function of time of the time limit exceedance and the Paris formula for m ≠ 2. The Fokker-Planc equation and difference equations were used to model the fatigue crack. The solution of the Fokker-Planc equation is the unknown density function of the crack length, which was later used to find the density function of time of the limit state exceedance of the crack. The latter density function was used to estimate the fatigue limit.

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