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Investigation of the damping characteristics of grouted coal gangue with different particle gradations under multistage triaxial cyclic loading
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  • Published: 11 April 2026

Investigation of the damping characteristics of grouted coal gangue with different particle gradations under multistage triaxial cyclic loading

  • Yutao Wang1,2,
  • Mingming He2,
  • Ning Li2,
  • Jing Wang2,
  • Yanzhe Tian1,
  • Xuge Mao3 &
  • …
  • Xinxing Liu1 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Energy science and technology
  • Engineering
  • Materials science
  • Solid Earth sciences

Abstract

Understanding and optimizing the damping behavior of grouted coal gangue under complex cyclic stress conditions is of significant importance for guiding grouting design, improving mine safety, and enhancing the long-term durability of engineering structures. Triaxial multistage cyclic tests were conducted on artificial specimens with varying confining pressures and particle gradations to elucidate the evolution of damping in grouted coal gangue under cyclic loading. The stress and strain response, as well as the variation of dynamic shear modulus, damping ratio, and damping coefficient with the number of loading cycles, were investigated. The results indicate that the grouted coal gangue exhibits a staged loading and steady cyclic response under multistage cyclic loading, with irrecoverable deformation accumulating progressively with increasing stress levels. Confining pressure enhances the cyclic stability and dynamic stiffness of the specimens by suppressing crack opening and particle slippage, thereby improving skeleton interlocking and load-bearing continuity. Within each stress level, the dynamic shear modulus demonstrates a rapid increase followed by fluctuating evolution trend with cycle number but decreases overall with rising stress. Elastic energy density and energy dissipation density evolve in stages, exhibiting an initial rapid decline followed by gradual attenuation during mid-cycles. The dissipation energy density fluctuating more intensely under high stress levels. The damping ratio and damping coefficient generally decay and converge with increasing cycles and display a negative correlation with the dynamic shear modulus. These findings reveal the coupled effects of confining pressure and particle gradation on the damping characteristics of grouted coal gangue, providing an experimental basis for assessing the stability and fatigue damage of grouted structures under cyclic loads.

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request.

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Funding

Science and Technology Innovation Fund Project of CCTEG Ecological Environment Technology Co., Ltd (0206KGST0028) The financial support provided by this sponsor is greatly appreciated.

Author information

Authors and Affiliations

  1. CCTEG Ecological Environment Technology Co., Ltd, Beijing, 100013, China

    Yutao Wang, Yanzhe Tian & Xinxing Liu

  2. School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an, 710048, China

    Yutao Wang, Mingming He, Ning Li & Jing Wang

  3. China Coal Technology and Industry Xi’an Research Institute (Group) Co., Ltd, Xi’an, 710077, China

    Xuge Mao

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Contributions

Yutao Wang: investigation, writing—original draft preparation; Mingming He: writing—review and editing; Ning Li: conceptualization; Jing Wang: methodology; Tingzhe Tian and Xuge Mao: validation; Xinxing Liu: funding acquisition. Authors have read and agreed to the published version of the manuscript.

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Correspondence to Mingming He.

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Wang, Y., He, M., Li, N. et al. Investigation of the damping characteristics of grouted coal gangue with different particle gradations under multistage triaxial cyclic loading. Sci Rep (2026). https://doi.org/10.1038/s41598-026-48259-y

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  • Received: 26 February 2026

  • Accepted: 07 April 2026

  • Published: 11 April 2026

  • DOI: https://doi.org/10.1038/s41598-026-48259-y

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Keywords

  • Grouted coal gangue
  • Triaxial cyclic loading
  • Dynamic shear modulus
  • Damping ratio
  • Damping coefficient
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