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<p>Collapses of seismic slopes demonstrate the characteristics of three-dimensional (3D) shapes. Conducting a 3D analysis of seismic slope stability is more complicated than doing a simplified two-dimensional (2D) analysis. The upper-bound solutions derived from limit analysis of seismic slopes using the pseudo-static method are used to generate an approximate solution for the factor of 3D safety through regression analysis. Such a solution can degenerate to a 2D result when the slope width tends to infinity. The approximation method also can be extended for determining the permanent displacements of 3D slopes under seismic loading. The method is non-iterative and relatively accurate through comparisons with analytical results. Involving stochastic ground motions could easily be used to assess the distribution of permanent displacement that is induced in 3D slopes.</p>

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An approximate solution for seismic stability and permanent displacement of three-dimensional slopes with a rotational failure mechanism

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • Fei Zhang,
  • Yunlin Li,
  • Shuang Shu,
  • Yang Liu

摘要

Collapses of seismic slopes demonstrate the characteristics of three-dimensional (3D) shapes. Conducting a 3D analysis of seismic slope stability is more complicated than doing a simplified two-dimensional (2D) analysis. The upper-bound solutions derived from limit analysis of seismic slopes using the pseudo-static method are used to generate an approximate solution for the factor of 3D safety through regression analysis. Such a solution can degenerate to a 2D result when the slope width tends to infinity. The approximation method also can be extended for determining the permanent displacements of 3D slopes under seismic loading. The method is non-iterative and relatively accurate through comparisons with analytical results. Involving stochastic ground motions could easily be used to assess the distribution of permanent displacement that is induced in 3D slopes.