Stochastic continuum approach to high-cycle fatigue : modelling stress history as a stochastic process
Frondelius, Tero; Kaarakka, Terhi; Kouhia, Reijo; Mäkinen, Jari; Orelma, Heikki; Vaara, Joona (2021-11-06)
Frondelius, T., Kaarakka, T., Kouhia, R., Mäkinen, J., Orelma, H., & Vaara, J. (2022). Stochastic continuum approach to high-cycle fatigue: Modelling stress history as a stochastic process. European Journal of Mechanics - A/Solids, 92, 104454. https://doi.org/10.1016/j.euromechsol.2021.104454
© 2021 The Authors. Published by Elsevier Masson SAS. This is an open access article under the CC BY license.
https://creativecommons.org/licenses/by/4.0/
https://urn.fi/URN:NBN:fi-fe2022042931591
Tiivistelmä
Abstract
In this article, the continuum-based high-cycle fatigue analysis method, introduced by Ottosen, Stenström and Ristinmaa in 2008, is extended to cases where the stress history is a stochastic process. The basic three-parameter Ornstein–Uhlenbeck process is chosen for stress description. As a practical example, the theory is applied in both finite and infinite life cases. A definition for the safety factor is introduced, which is reduced to a minimization problem of the value for the endurance surface. In the stochastic case, the values of the endurance surface form a stochastic process and the cumulative distribution function can be constructed for its maximum values.
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