11 Dec 2023
 | 11 Dec 2023

Limit analysis of earthquake-induced landslides considering two strength envelopes

Di Wu, Yuke Wang, and Xin Chen

Abstract. Stability analysis of soil slopes undergoing earthquake remains an important research aspect. The earthquake may have some different effects on slope stabilities associated with nonlinear and linear criteria, which need to be further investigated. For homogeneous soil slopes undergoing earthquake, this paper established the three-dimensional (3D) failure mechanisms with the Power-Law strength envelope. The quasi-static method was employed to derive the work rate done by the earthquake in limit analysis theory. The critical heights and critical slip surfaces associated with nonlinear and linear criteria were obtained for four slope examples undergoing different seismic loads. Comparisons of the nonlinear and linear results illustrated that two critical inclinations (resulted from the overlap of nonlinear and linear results) both decrease as the seismic force increases, but their difference is almost constant. For steep slopes, the use of linear strength envelope can lead to the non-negligible overestimation of slope critical height. This overestimation will become significant with the increase of seismic force, especially for the steeper slope with a narrow width. Since the seismic force has positive influence on equivalent internal friction angle, the critical slip surface for the slope obeying nonlinear envelope tends to be slightly deeper as the earthquake becomes stronger. For steep soil slopes undergoing earthquake, the development of 3D stability analysis with nonlinear yield criterion is necessity and significant. These findings can provide some references for risk assessment and landslide disaster reduction of soil slopes.

Di Wu, Yuke Wang, and Xin Chen

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2023-2318', Anonymous Referee #1, 28 Dec 2023
    • AC1: 'Reply on RC1', Di Wu, 21 Feb 2024
  • RC2: 'Comment on egusphere-2023-2318', Anonymous Referee #2, 04 Jan 2024
    • AC2: 'Reply on RC2', Di Wu, 21 Feb 2024
Di Wu, Yuke Wang, and Xin Chen
Di Wu, Yuke Wang, and Xin Chen


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Short summary
This paper proposed 3D limit analysis for seismic stability of soil slopes to address the influence of earthquake on slope stabilities with nonlinear and linear criteria. Comparison results illustrated that the use of linear envelope leads to the non-negligible overestimation of steep slope stability and this overestimation will be significant with the increasing earthquake. Earthquake has a smaller influence on slope slip surface with nonlinear envelope than that with linear envelope.