Stochastic continuum approach to high-cycle fatigue: Modelling stress history as a stochastic process

In this article, the continuum-based high-cycle fatigue analysis method, introduced by Ottosen, Stenström and Ristinmaa in 2008, is extended to cases where stress history a stochastic process. The basic three-parameter Ornstein–Uhlenbeck process chosen for description. As practical example, theory applied both finite infinite life cases. A definition safety factor introduced, which reduced minimization problem of value endurance surface. case, values surface form cumulative distribution function can be constructed its maximum values.