TY - JOUR
T1 - Stochastic continuum approach to high-cycle fatigue
T2 - Modelling stress history as a stochastic process
AU - Frondelius, Tero
AU - Kaarakka, Terhi
AU - Kouhia, Reijo
AU - Mäkinen, Jari
AU - Orelma, Heikki
AU - Vaara, Joona
N1 - Funding Information:
We wish to express our thanks to Professor Simo S?rkk? from Aalto University for his consultations and suggestions. He also kindly gave us his forthcoming book (S?rkk? and Sulin, 2019) for our use. We would like to thank Lic.Phil. Osmo Kaleva for his comments and suggestions, Dr. Djebar Baroudi for help with the numerical computations and the anonymous reviewers for constructive comments and suggestions to amend the manuscript. In addition, 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 W?rtsil? Dnro 7734/31/2018 and ISA TAU Dnro 7204/31/2018.
Funding Information:
In addition, 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.
Publisher Copyright:
© 2021 The Authors
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - High-cycle fatigue
KW - Lifetime distribution
KW - Ornstein–Uhlenbeck process
KW - Out-of-phase loading
KW - Safety factor distribution
KW - Stochastic loading
U2 - 10.1016/j.euromechsol.2021.104454
DO - 10.1016/j.euromechsol.2021.104454
M3 - Article
AN - SCOPUS:85119092110
SN - 0997-7538
VL - 92
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
M1 - 104454
ER -