Abstract

The slip surface is an important control structure surface existing in the landslide. It not only directly affects the stability of the slope through the strength, but also affects the stress field by affecting the propagation of the stress wave. Many research results have been made on the influence of non-continuous stress wave propagation in rock and soil mass and the dynamic response to seismic slopes. However, the effect of the continuity of the slip surface on the slope dynamic stability needs further researches. Therefore, in this paper, the effect of slip surface on the slope’s instantaneous safety factor is analyzed by the theoretical method with the infinite slope model. Firstly, three types of slip surface model were established, to realize the change of sliding surface continuity in the infinite slope. Then, based on wave field analysis, the instantaneous safety factor was used to analyze the effect of continuity of slip surface. The results show that with the decreasing of slip surface continuity, the safety factor does not simply increase or decrease, and is related to slope features, incident wave and continuity of slip surface. The safety factor does not decrease monotonically with the increasing of slope angle and thickness of slope body. Moreover, the reflection of slope surface has a great influence on the instantaneous safety factor of the slope. Research results in this paper can provide some references to evaluate the stability of seismic slope, and have an initial understanding of the influence of structural surface continuity on seismic slope engineering.

Highlights

  • Earthquake is one of important factors that may lead to landslides or collapses; as a typical secondary disaster of earthquake, the seismic slope disaster has attracted much attention.The mechanical properties of slip surface controls the stability of slope, and the effect of slipping surface’s discontinuity on slope stability will be studied in this paper.In soil or rock mass, there are a large number of discontinuous interfaces, which have a variety of forms of existence and mechanical properties

  • For some discontinuous interfaces, which can be considered as a medium interface, the displacement field, stress field, is continuous on the discontinuous interface, but the wave impedance is significantly different on both sides of Mathematics 2019, 7, 58; doi:10.3390/math7010058

  • Yang et al [20] studied the dynamic behavior of double-sided high slope by the shaking table experiment; the slip surface was regarded as the displacement discontinuous interface, based on stress wave field analysis, and the instantaneous safety factor can be calculated under the action of actual seismic wave by the Hilbert-Huang transform (HHT) method

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Summary

Introduction

Earthquake is one of important factors that may lead to landslides or collapses; as a typical secondary disaster of earthquake, the seismic slope disaster has attracted much attention. Yang et al [20] studied the dynamic behavior of double-sided high slope by the shaking table experiment; the slip surface was regarded as the displacement discontinuous interface, based on stress wave field analysis, and the instantaneous safety factor can be calculated under the action of actual seismic wave by the Hilbert-Huang transform (HHT) method. Based on this method, Fan et al [21]. The effects of slip surfaces’ continuity on the slope’s instantaneous safety factor are discussed by the parameter analysis, and the features of slope, incident wave and the deformation stiffness coefficients of slip surface are studied

Modeling and Solutions
Dynamic Response of Instantaneous Safety Factor
Effect of Slope Features
Effect of Incident
Effect
Discussion
10. Continuity
11. Comparison
Conclusions
Full Text
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