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<p>To elucidate the evolution and loss mechanism of prestress in anchor cables within rock masses, this study investigates the coupled mechanical behavior of the anchor cable–steel strip–rock system, based on in-situ monitoring data from the Baiguangou Coal Mine roadway. Numerical simulations using FLAC<sup>3D</sup> reveal that steel strips significantly enhance the diffusion of prestress and mitigate stress concentration near the roadway. A novel constitutive model is developed by introducing fractional-order Abel dashpots and constructing a multi-component framework that couples the anchor cable, steel strip, shallow fractured rock, and deep stable rock. The model’s accuracy is validated through comparative fitting analyses with existing models and sensitivity analyses of the fractional parameters. Moreover, the optimal timing for secondary tensioning is explored. Results indicate that the proposed model accurately captures both the initial rapid decay and long-term stabilization of prestress. The fractional parameters play a key role in regulating the loss process, and performing secondary tensioning 30 days after installation significantly improves long-term prestress retention. This work provides a theoretical foundation and engineering reference for prestress control in layered rock mass support systems.</p>

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Mechanism of Prestress Loss in Anchor Cables Embedded in Two-Region Composite Rock Masses: Development and Analysis of a Coupled Model

  • 期刊论文

  • 发表日期：

    2025年11月14日

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  • Renliang Shan,
  • Haobo Bai,
  • Dong Liu,
  • Hailong Wang,
  • Mingyue Nie,
  • Yongzhen Li,
  • Peng Sun,
  • Haotian Wu,
  • Shengchao Xiao

摘要

To elucidate the evolution and loss mechanism of prestress in anchor cables within rock masses, this study investigates the coupled mechanical behavior of the anchor cable–steel strip–rock system, based on in-situ monitoring data from the Baiguangou Coal Mine roadway. Numerical simulations using FLAC3D reveal that steel strips significantly enhance the diffusion of prestress and mitigate stress concentration near the roadway. A novel constitutive model is developed by introducing fractional-order Abel dashpots and constructing a multi-component framework that couples the anchor cable, steel strip, shallow fractured rock, and deep stable rock. The model’s accuracy is validated through comparative fitting analyses with existing models and sensitivity analyses of the fractional parameters. Moreover, the optimal timing for secondary tensioning is explored. Results indicate that the proposed model accurately captures both the initial rapid decay and long-term stabilization of prestress. The fractional parameters play a key role in regulating the loss process, and performing secondary tensioning 30 days after installation significantly improves long-term prestress retention. This work provides a theoretical foundation and engineering reference for prestress control in layered rock mass support systems.