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<p>Stability charts are a robust tool for rapidly assessing the seismic stability of rock slopes subjected to Hoek–Brown (HB) criterion. However, a notable shortcoming of published charts and their sole focus on slip-shear failure using pseudo-static (PS) seismic approximations, largely neglecting the tension-induced toppling failure and the dynamic aspects of seismic motion. To address that, this paper introduces an innovative stability chart for width-restricted rock slopes, developed using upper bound limit analysis (UBLA). To incorporate the rock's tensile strength, an equivalent linearization of the HB criterion with a tension cutoff is proposed. This linearized criterion is incorporated within a UBLA mechanism featuring two segments accommodating both tensile and shear failure. Dynamic seismic effects are captured using a pseudo-dynamic (PS) approach. It considers dynamic parameters, such as wave velocity, period, and amplification factor, within the framework of sinusoidal wave. Charts are plotted using safety factors given by UBLA. Furthermore, two correction factors are introduced to account for the impacts of phase changes and acceleration amplification, enabling the conversion of published PS chart into more accurate PD outcomes.</p>

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Seismic Stability Chart for 3D Hoek–Brown Rock Slope: A Novel Approach Integrated Tension Cutoff and Dynamic Seismic Effect

  • 期刊论文

  • 发表日期：

    2025年10月23日

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  • Zhibin Sun,
  • Chenglong Lou,
  • Can Jin,
  • Jingshu Xu,
  • Daniel Dias

摘要

Stability charts are a robust tool for rapidly assessing the seismic stability of rock slopes subjected to Hoek–Brown (HB) criterion. However, a notable shortcoming of published charts and their sole focus on slip-shear failure using pseudo-static (PS) seismic approximations, largely neglecting the tension-induced toppling failure and the dynamic aspects of seismic motion. To address that, this paper introduces an innovative stability chart for width-restricted rock slopes, developed using upper bound limit analysis (UBLA). To incorporate the rock's tensile strength, an equivalent linearization of the HB criterion with a tension cutoff is proposed. This linearized criterion is incorporated within a UBLA mechanism featuring two segments accommodating both tensile and shear failure. Dynamic seismic effects are captured using a pseudo-dynamic (PS) approach. It considers dynamic parameters, such as wave velocity, period, and amplification factor, within the framework of sinusoidal wave. Charts are plotted using safety factors given by UBLA. Furthermore, two correction factors are introduced to account for the impacts of phase changes and acceleration amplification, enabling the conversion of published PS chart into more accurate PD outcomes.