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An investigation into rail corrugation evaluation based on fractal theory and explicit finite element method
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  • Published: 24 April 2026

An investigation into rail corrugation evaluation based on fractal theory and explicit finite element method

  • Yao Qian1,2,
  • Hui Zhu1,2,
  • Taoshuo Bai1,2,
  • Kai Wang3,
  • Jian Yang1,2,
  • Jingmang Xu1,2,
  • Ping Wang1,2 &
  • …
  • Xiaochuan Ma4 

Scientific Reports (2026) Cite this article

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  • Engineering
  • Mathematics and computing

Abstract

Rail corrugation poses a persistent challenge in railway engineering, aggravating rolling contact fatigue and adversely affecting passenger comfort. However, the existing standards for rail grinding are inadequate for evaluating corrugation across multiple scales, underscoring the need for new evaluation indices. In this paper, we assess the effects of various characteristics of rail corrugation on the wheel-rail system and establish the relationship between the dynamic indices of the wheel-rail system and the fractal dimension of rail corrugation. Additionally, we derive the limit value of the fractal dimension of rail grinding based on the limit values of the dynamic indices. These findings provide a practical grinding guideline: when the sampling interval is 1 mm and the fractal dimension exceeds 1.252, rail grinding should be scheduled to mitigate dynamic overloads and extend service life.

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Funding

The National Natural Science Foundation of China (52478474, 52472458). Jiangxi Natural Science Foundation (20232ACB214010). Major Program of Sichuan Provincial Natural Science Foundation of China (2024NSFSC0003). 

Author information

Authors and Affiliations

  1. MOE Key Laboratory of High-speed Railway Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Yao Qian, Hui Zhu, Taoshuo Bai, Jian Yang, Jingmang Xu & Ping Wang

  2. School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Yao Qian, Hui Zhu, Taoshuo Bai, Jian Yang, Jingmang Xu & Ping Wang

  3. Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, 117575, Singapore

    Kai Wang

  4. State Key Laboratory of Safety and Resilience of Civil Engineering in Mountain Area, East China Jiaotong University, Nanchang, 330013, Jiangxi, China

    Xiaochuan Ma

Authors
  1. Yao Qian
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  2. Hui Zhu
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  3. Taoshuo Bai
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  4. Kai Wang
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  5. Jian Yang
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  6. Jingmang Xu
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  7. Ping Wang
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  8. Xiaochuan Ma
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Corresponding author

Correspondence to Hui Zhu.

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The authors declare no competing interests.

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Cite this article

Qian, Y., Zhu, H., Bai, T. et al. An investigation into rail corrugation evaluation based on fractal theory and explicit finite element method. Sci Rep (2026). https://doi.org/10.1038/s41598-026-47771-5

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  • Received: 08 September 2025

  • Accepted: 02 April 2026

  • Published: 24 April 2026

  • DOI: https://doi.org/10.1038/s41598-026-47771-5

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Keywords

  • Rail corrugation
  • Wheel-rail rolling contact
  • Fractal
  • Fractal dimension
  • Rail grinding
  • Finite element modeling
  • Dynamic response
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