A general phase-field model for fatigue failure in brittle and ductile solids

authored by: Karlo Seleš, Fadi Aldakheel, Zdenko Tonković, Jurica Sorić, Peter Wriggers
Abstract: In this work, the phase-field approach to fracture is extended to model fatigue failure in high- and low-cycle regime. The fracture energy degradation due to the repeated externally applied loads is introduced as a function of a local energy accumulation variable, which takes the structural loading history into account. To this end, a novel definition of the energy accumulation variable is proposed, allowing the fracture analysis at monotonic loading without the interference of the fatigue extension, thus making the framework generalised. Moreover, this definition includes the mean load influence of implicitly. The elastoplastic material model with the combined nonlinear isotropic and nonlinear kinematic hardening is introduced to account for cyclic plasticity. The ability of the proposed phenomenological approach to naturally recover main features of fatigue, including Paris law and Wöhler curve under different load ratios is presented through numerical examples and compared with experimental data from the author’s previous work. Physical interpretation of additional fatigue material parameter is explored through the parametric study.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Zagreb
Type: Article
Journal: Computational Mechanics
Volume: 67
Pages: 1431-1452
No. of pages: 22
ISSN: 0178-7675
Publication date: 05.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-021-01996-5 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{f70bc930174e49d583e6ed1a233e43d7,
title = "A general phase-field model for fatigue failure in brittle and ductile solids",
abstract = "In this work, the phase-field approach to fracture is extended to model fatigue failure in high- and low-cycle regime. The fracture energy degradation due to the repeated externally applied loads is introduced as a function of a local energy accumulation variable, which takes the structural loading history into account. To this end, a novel definition of the energy accumulation variable is proposed, allowing the fracture analysis at monotonic loading without the interference of the fatigue extension, thus making the framework generalised. Moreover, this definition includes the mean load influence of implicitly. The elastoplastic material model with the combined nonlinear isotropic and nonlinear kinematic hardening is introduced to account for cyclic plasticity. The ability of the proposed phenomenological approach to naturally recover main features of fatigue, including Paris law and W{\"o}hler curve under different load ratios is presented through numerical examples and compared with experimental data from the author{\textquoteright}s previous work. Physical interpretation of additional fatigue material parameter is explored through the parametric study.",
keywords = "Brittle/ductile fracture, Experimental validation, Fatigue, Paris law, Phase-field modelling, W{\"o}hler curve",
author = "Karlo Sele{\v s} and Fadi Aldakheel and Zdenko Tonkovi{\'c} and Jurica Sori{\'c} and Peter Wriggers",
note = "The authors are thankful to Dr. Predrag {\v C}an{\v z}ar for providing the experimental data used in this manuscript. The authors F. Aldakheel and P. Wriggers gratefully acknowledge support for this research by the “German Research Foundation” (DFG) in (1) the COLLABORATIVE RESEARCH CENTER CRC 1153 and (2) the PRIORITY PROGRAM SPP 2020 within their second funding phases. This work has also been supported by the Croatian Science Foundation under the project {"}Multiscale Numerical Modelling and Experimental Investigation of Aging Processes in Sintered Structural Components” (MultiSintAge, PZS-2019-02-4177). F. Aldakheel and K. Sele{\v s} would like to thank Dr. Marreddy Ambati for his helpful suggestions. Open Access funding enabled and organized by Projekt DEAL.",
year = "2021",
month = may,
doi = "10.1007/s00466-021-01996-5",
language = "English",
volume = "67",
pages = "1431--1452",
journal = "Computational Mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "5",
}