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<p>The core of the excavation compensation method lies in utilizing Negative Poisson’s ratio cable to achieve high prestress compensation support for surrounding rock. To deepen the understanding of the support principles and mechanical behavior of Negative Poisson’s ratio cable support, this paper derives the full-process theoretical solution of Negative Poisson’s ratio cable anchored rock system. Based on the mechanical states of the surrounding rock and Negative Poisson’s ratio cable support, Negative Poisson’s ratio cable anchored rock system is classified into four states: EE (both surrounding rock and Negative Poisson’s ratio cable are elastic), EC (surrounding rock is elastic, Negative Poisson’s ratio cable is constant resistance), PC (surrounding rock is plastic, Negative Poisson’s ratio cable is constant resistance), and PE (surrounding rock is plastic, Negative Poisson’s ratio cable is elastic). Considering factors such as the spacing of Negative Poisson’s ratio cable arrangements, the length of Negative Poisson’s ratio cable, timing of support, prestress values, and lateral pressure coefficients of the surrounding rock, theoretical solutions for each state are derived using elastoplastic mechanics, and a semi-analytical method is proposed. To verify the accuracy of the theoretical solutions, a comparative analysis was conducted between theoretical results and finite element numerical simulations. A parametric study was performed to explore the impact of Negative Poisson’s ratio cable spacing, Negative Poisson’s ratio cable length, prestress values, and timing of support on tunnel wall displacement, the plastic zone of surrounding rock, deformation rate of surrounding rock, and anchor extension. Finally, combined with the case of the Min County tunnel from existing literature, the calculated results showed a high degree of consistency with actual monitoring data, further validating the applicability of the theoretical solution in practical engineering. Overall, the analytical method proposed in this paper provides a reliable theoretical basis for the design optimization and application of the excavation compensation method.</p>

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Semi-Analytical Solution for Excavation Compensation Method of Rock Mass Anchored by High Prestressed Negative Poisson’s Ratio Cable

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Yubing Gao,
  • Cheng Jiang,
  • Manchao He

摘要

The core of the excavation compensation method lies in utilizing Negative Poisson’s ratio cable to achieve high prestress compensation support for surrounding rock. To deepen the understanding of the support principles and mechanical behavior of Negative Poisson’s ratio cable support, this paper derives the full-process theoretical solution of Negative Poisson’s ratio cable anchored rock system. Based on the mechanical states of the surrounding rock and Negative Poisson’s ratio cable support, Negative Poisson’s ratio cable anchored rock system is classified into four states: EE (both surrounding rock and Negative Poisson’s ratio cable are elastic), EC (surrounding rock is elastic, Negative Poisson’s ratio cable is constant resistance), PC (surrounding rock is plastic, Negative Poisson’s ratio cable is constant resistance), and PE (surrounding rock is plastic, Negative Poisson’s ratio cable is elastic). Considering factors such as the spacing of Negative Poisson’s ratio cable arrangements, the length of Negative Poisson’s ratio cable, timing of support, prestress values, and lateral pressure coefficients of the surrounding rock, theoretical solutions for each state are derived using elastoplastic mechanics, and a semi-analytical method is proposed. To verify the accuracy of the theoretical solutions, a comparative analysis was conducted between theoretical results and finite element numerical simulations. A parametric study was performed to explore the impact of Negative Poisson’s ratio cable spacing, Negative Poisson’s ratio cable length, prestress values, and timing of support on tunnel wall displacement, the plastic zone of surrounding rock, deformation rate of surrounding rock, and anchor extension. Finally, combined with the case of the Min County tunnel from existing literature, the calculated results showed a high degree of consistency with actual monitoring data, further validating the applicability of the theoretical solution in practical engineering. Overall, the analytical method proposed in this paper provides a reliable theoretical basis for the design optimization and application of the excavation compensation method.