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

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Original languageEnglish
Pages (from-to)1431-1452
Number of pages22
JournalComputational Mechanics
Volume67
Issue number5
Early online date29 Mar 2021
Publication statusPublished - May 2021

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.

Keywords

    Brittle/ductile fracture, Experimental validation, Fatigue, Paris law, Phase-field modelling, Wöhler curve

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A general phase-field model for fatigue failure in brittle and ductile solids. / Seleš, Karlo; Aldakheel, Fadi; Tonković, Zdenko et al.
In: Computational Mechanics, Vol. 67, No. 5, 05.2021, p. 1431-1452.

Research output: Contribution to journalArticleResearchpeer review

Seleš, K., Aldakheel, F., Tonković, Z., Sorić, J., & Wriggers, P. (2021). A general phase-field model for fatigue failure in brittle and ductile solids. Computational Mechanics, 67(5), 1431-1452. Advance online publication. https://doi.org/10.1007/s00466-021-01996-5
Seleš K, Aldakheel F, Tonković Z, Sorić J, Wriggers P. A general phase-field model for fatigue failure in brittle and ductile solids. Computational Mechanics. 2021 May;67(5):1431-1452. Epub 2021 Mar 29. doi: 10.1007/s00466-021-01996-5
Seleš, Karlo ; Aldakheel, Fadi ; Tonković, Zdenko et al. / A general phase-field model for fatigue failure in brittle and ductile solids. In: Computational Mechanics. 2021 ; Vol. 67, No. 5. pp. 1431-1452.
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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.",
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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.",
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N2 - 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.

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