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An accelerated phase-field model for high-cycle fatigue behaviour in quasi-brittle materials

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Zhihua Xiong
  • Xuyao Liu
  • Jiaqi Li
  • Abedulgader Baktheer

External Research Organisations

  • Northwest Agriculture and Forestry University
  • RWTH Aachen University

Details

Original languageEnglish
Article number105003
Number of pages23
JournalTheoretical and Applied Fracture Mechanics
Volume139
Early online date16 May 2025
Publication statusE-pub ahead of print - 16 May 2025

Abstract

This paper presents an accelerated phase-field method combining an adaptive cycle increment adjustment algorithm and Phase-Field Cohesive Zone Model (PF-CZM) to simulate High-Cycle Fatigue (HCF) of quasi-brittle materials. Based on an asymptotic fatigue degradation function extended to fatigue behaviour, the analogy between accumulated history variables and damage variables is used. Acceleration is achieved by deeming the accumulated history variable in the fatigue degradation function as a damage variable. The cycle increment is associated with the increment of the accumulated history variable based on experimental data. In order to improve computational efficiency, the entire fatigue simulation process is divided into three stages, and different cycle increments are applied to each stage. In order to demonstrate the effectiveness of the proposed accelerated phase-field scheme, comprehensive verification is conducted with experimental results and previous cycle-by-cycle numerical results, including mode I crack propagation and mixed mode I + II crack propagation, highlighting the efficiency and robustness of the proposed method. In addition, the influence of phase-field length scale on the crack pattern of concrete is studied. The fatigue behaviour of both 2D and 3D structures are showcased by applying the proposed model.

Keywords

    Acceleration algorithms, Concrete, Fatigue, Fracture, Phase-field model

ASJC Scopus subject areas

Cite this

An accelerated phase-field model for high-cycle fatigue behaviour in quasi-brittle materials. / Xiong, Zhihua; Liu, Xuyao; Li, Jiaqi et al.
In: Theoretical and Applied Fracture Mechanics, Vol. 139, 105003, 10.2025.

Research output: Contribution to journalArticleResearchpeer review

Xiong, Z., Liu, X., Li, J., Baktheer, A., Wolters, K., & Feldmann, M. (2025). An accelerated phase-field model for high-cycle fatigue behaviour in quasi-brittle materials. Theoretical and Applied Fracture Mechanics, 139, Article 105003. Advance online publication. https://doi.org/10.1016/j.tafmec.2025.105003
Xiong Z, Liu X, Li J, Baktheer A, Wolters K, Feldmann M. An accelerated phase-field model for high-cycle fatigue behaviour in quasi-brittle materials. Theoretical and Applied Fracture Mechanics. 2025 Oct;139:105003. Epub 2025 May 16. doi: 10.1016/j.tafmec.2025.105003
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AU - Li, Jiaqi

AU - Baktheer, Abedulgader

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AU - Feldmann, Markus

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