University of Oulu

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.

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

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Author: Frondelius, Tero1,2; Kaarakka, Terhi3; Kouhia, Reijo4;
Organizations: 1Wärtsilä Marine Solutions, R&D and Engineering, Järvikatu 2-4, 65100 Vaasa, Finland
2University of Oulu, Erkki Koiso-Kanttilan katu 1, 90014, Oulu, Finland
3Tampere University, Unit of Computing Science/Mathematics, Korkeakoulunkatu 10, 33720 Tampere, Finland
4Tampere University, Unit of Civil Engineering, Structural Mechanics, Korkeakoulunkatu 10, 33720 Tampere, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 2.3 MB)
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Language: English
Published: Elsevier, 2022
Publish Date: 2022-08-02


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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Series: European journal of mechanics. A, Solids
ISSN: 0997-7538
ISSN-E: 1873-7285
ISSN-L: 0997-7538
Volume: 92
Article number: 104454
DOI: 10.1016/j.euromechsol.2021.104454
Type of Publication: A1 Journal article – refereed
Field of Science: 216 Materials engineering
Funding: The authors would like to acknowledge the financial support of Business Finland (former Tekes) in the form of a research project WIMMA Dnro 1566/31/2015, ISA Wärtsilä Dnro 7734/31/2018 and ISA TAU Dnro 7204/31/2018.
Copyright information: © 2021 The Authors. Published by Elsevier Masson SAS. This is an open access article under the CC BY license.