A variational framework for the efficient simulation of fatigue

verfasst von
Hüray Ilayda Kök, Philipp Junker
Abstract

High computational requirements often limit the feasibility of fatigue simulations for complex structures or predictions over long lifetimes. This paper introduces an innovative and efficient methodology for modeling fatigue without the excessive processing times typically required for cycle-by-cycle simulations. By introducing a coordinate transformation from the parameter of time to the cycle number, a significant reduction in computational costs is achieved. Furthermore, this strategy enables the efficient construction of force-displacement hysteresis loops and facilitates the investigation of low-cycle fatigue, high-cycle fatigue, and the endurance limit. The model is based on an extended Hamilton principle of stationary action and is implemented using the Neighbored Element Method. The properties of this strategy are demonstrated through various boundary value problems, demonstrating its robustness and effectiveness.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Artikel
Journal
Computational mechanics
Band
76
Seiten
1161–1181
Anzahl der Seiten
21
ISSN
0178-7675
Publikationsdatum
10.2025
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1007/s00466-025-02644-y (Zugang: Offen)
 

Details im Forschungsportal „Research@Leibniz University“