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A study on the size effect of the concrete matrix specimen and the radial mechanical behavior in bolt pullout tests
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  • Published: 19 May 2026

A study on the size effect of the concrete matrix specimen and the radial mechanical behavior in bolt pullout tests

  • Minglu Xing1,2,
  • Longfei Li1,
  • Tongbin Zhao1,2,
  • Charlie C. Li3,
  • Shiwei Chen4,
  • Yubao Zhang1,2,
  • Jiawen Cai1,
  • Xuebin Wang1 &
  • …
  • Yaning Gong1 

Scientific Reports (2026) Cite this article

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Subjects

  • Engineering
  • Materials science

Abstract

Pullout tests are usually used to test the anchoring capacity of rockbolts and to study their anchoring mechanisms. In this study, the influence of the diameter of the concrete matrix specimen to the ultimate pull force of the bolt was investigated through pullout tests in the laboratory. The bolt was grouted in the center of the concrete specimen in the test. The radial mechanical behavior of the bolt and the splitting failure of the concrete specimen under the pull force of the bolt were numerically studied. The pullout tests showed that splitting of the concrete specimen would reduce the ultimate pull force of the bolt. The pull force quickly dropped to zero without noticeable residual force after the splitting failure. The ultimate pull force increased with an increase in the diameter of the concrete specimen until the diameter reached 300 mm in which the concrete specimen did not split. The theoretically derived minimum diameter of the concrete specimen to prevent it from splitting is consistent with the results obtained in the laboratory tests and also in the numerical modelling. The results of this study provide a scientific basis for standardization of bolt pullout tests and for optimization of rockbolting design parameters. They are of great significance for the development of rockbolt mechanics.

Funding

This study was supported by the National Natural Science Foundation of China (Grant No. 52374097) and the Project of Taishan Scholar in Shandong Province (Grant No. tstp20221126).

Author information

Authors and Affiliations

  1. College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China

    Minglu Xing, Longfei Li, Tongbin Zhao, Yubao Zhang, Jiawen Cai, Xuebin Wang & Yaning Gong

  2. Shandong Key Laboratory of Intelligent Prevention and Control of Dynamic Disaster in Deep Mines, Qingdao, 266590, Shandong, China

    Minglu Xing, Tongbin Zhao & Yubao Zhang

  3. Department of Geosciences, Norwegian University of Science and Technology(NTNU), Tiondheim, 7491, Norway

    Charlie C. Li

  4. Yanfeng Automotive Technology Chongqing Co., Ltd, Liangjiang New District, Chongqing, 213376, China

    Shiwei Chen

Authors
  1. Minglu Xing
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  2. Longfei Li
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  3. Tongbin Zhao
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  4. Charlie C. Li
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  5. Shiwei Chen
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  6. Yubao Zhang
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  7. Jiawen Cai
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  8. Xuebin Wang
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  9. Yaning Gong
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Corresponding author

Correspondence to Longfei Li.

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The authors declare no competing interests.

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Cite this article

Xing, M., Li, L., Zhao, T. et al. A study on the size effect of the concrete matrix specimen and the radial mechanical behavior in bolt pullout tests. Sci Rep (2026). https://doi.org/10.1038/s41598-026-53791-y

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  • Received: 10 April 2026

  • Accepted: 14 May 2026

  • Published: 19 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-53791-y

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Keywords

  • Bolt pullout test
  • Size effect
  • Numerical simulation
  • Radial mechanics
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