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<p>Residual strength of rock is a crucial parameter in engineering projects such as tunnel excavation, mining operations, and slope stabilization. Accurately calculating the residual strength of rock holds significant importance for engineering excavation and design. Based on the energy evolution law during the rock failure process, the concept of the energy reduction ratio was introduced to quantitatively characterize strength drop and propose a residual strength determination method that considers the entire rock failure process. To validate the validity of this method, triaxial unloading tests were conducted using slate rock from the Zhaxue landslide. The test results indicated a clear negative correlation between the energy reduction ratio and confining pressure, with a good computational accuracy of the residual strength of rock, yielding an <i>R</i><sup>2</sup> value of 0.972 for the comparison of actual and calculated values. To further verify the method’s applicability, 27 datasets from 15 different rock types were collected and computed. The results were compared with two existing methods, the Mohr–Coulomb (M-C) criterion and PJ methods (proposed by Peng Jun et al.), showing that the proposed method’s computational accuracy surpasses that of the M-C criterion. Based on the morphological characteristics of the energy reduction ratio curves for the 27 datasets, the curves were categorized into two classes based on the trend of slope changes with confining pressure. Among these, the slope of Type I curves for 21 datasets exhibited increasing trend with confining pressure, indicating a slower rate of brittle–ductile transition. On the other hand, the slope of Type II curves for six datasets decreasing with increasing confining pressure, suggesting a faster rate of brittle–ductile transition. By revealing the association between the energy reduction ratio and the rock’s brittle–ductile transition characteristics and failure modes through these two curve types, it was concluded that the energy reduction ratio essentially serves as a brittleness index. The research findings have significant reference value for the evaluation of rock mass engineering stability.</p>

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Energy Evolution-Based Method for Determining Residual Strength of Rock

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Dexin Huang,
  • Tao Wen,
  • Ningsheng Chen,
  • Yunpeng Yang

摘要

Residual strength of rock is a crucial parameter in engineering projects such as tunnel excavation, mining operations, and slope stabilization. Accurately calculating the residual strength of rock holds significant importance for engineering excavation and design. Based on the energy evolution law during the rock failure process, the concept of the energy reduction ratio was introduced to quantitatively characterize strength drop and propose a residual strength determination method that considers the entire rock failure process. To validate the validity of this method, triaxial unloading tests were conducted using slate rock from the Zhaxue landslide. The test results indicated a clear negative correlation between the energy reduction ratio and confining pressure, with a good computational accuracy of the residual strength of rock, yielding an R2 value of 0.972 for the comparison of actual and calculated values. To further verify the method’s applicability, 27 datasets from 15 different rock types were collected and computed. The results were compared with two existing methods, the Mohr–Coulomb (M-C) criterion and PJ methods (proposed by Peng Jun et al.), showing that the proposed method’s computational accuracy surpasses that of the M-C criterion. Based on the morphological characteristics of the energy reduction ratio curves for the 27 datasets, the curves were categorized into two classes based on the trend of slope changes with confining pressure. Among these, the slope of Type I curves for 21 datasets exhibited increasing trend with confining pressure, indicating a slower rate of brittle–ductile transition. On the other hand, the slope of Type II curves for six datasets decreasing with increasing confining pressure, suggesting a faster rate of brittle–ductile transition. By revealing the association between the energy reduction ratio and the rock’s brittle–ductile transition characteristics and failure modes through these two curve types, it was concluded that the energy reduction ratio essentially serves as a brittleness index. The research findings have significant reference value for the evaluation of rock mass engineering stability.