An Analytical Solution for Block Toppling Failure of Rock Slopes during an Earthquake

Guo, Songfeng; Qi, Shengwen; Yang, Guoxiang; Zhang, Shishu; Saroglou, Charalampos

doi:10.3390/app7101008

Cited by 25 publications

(8 citation statements)

References 23 publications

(28 reference statements)

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“…At present, the research methods of rock slope stability and dynamic response under earthquakes mainly include slope failure mechanism research based on earthquake damage experience (Guoxinag, 2012) (Guo et al, 2017), physical model test based on the shaking table test (Runqiu et al, 2013;Fan et al, 2016;, and dynamic response research based on numerical analysis (Liu et al, 2012). At first, the research on slope stability from the perspective of actual seismic damage investigation mainly focused on the description and introduction of seismic damage .…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Response of Rock Slope With Inverse Non-Persistent Joints Under Earthquake

Guo

Ren

et al. 2022

Front. Earth Sci.

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Based on the two-dimensional discrete element software UDEC, this article studied the dynamic response laws of rock slopes with inverse nonpersistent joints by the combination of different dip angles and spacing of joint and length of rock bridge under earthquake. The results showed that the existence of the joint surface had a significant impact on the dynamic response of the slope. When the dip angle of inverse nonpersistent joint increases or the joint spacing decreases, the PGA amplification factor of each monitoring point on the slope surface increases, and the influence range is mainly concentrated in the middle of the slope surface to the slope shoulder. Along the horizontal direction of the slope, closer to the shoulder of the slope, the PGA amplification factor increases with the increase of the joint dip angle and the decrease of rock bridge length and joint spacing; along the vertical direction, the PGA amplification coefficient curve increases first, then decreases, and then increases with the change of elevation, and the dynamic response of slope reacts the most violent where the joints are densely developed.

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Section: Introductionmentioning

confidence: 99%

Study on Dynamic Response of Rock Slope With Inverse Non-Persistent Joints Under Earthquake

Guo

Ren

et al. 2022

Front. Earth Sci.

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“…From the view of theoretical solution, Liu and Chen (2010) adopted the concept of the transfer coefficient, and derived an analytical approach for assessing the block toppling failure of rock slopes due to earthquake, based on Goodman and Bray (Goodman and Bray, 1976). Guo et al (2017) also proposed an analytical solution for the block toppling failure of rock slopes during an earthquake based on the limit equilibrium method. Zheng et al (2014) presented explicit expressions for the condition that block slenderness is relatively large.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Flexural Toppling Failure of Anti-Dip Rock Slopes Due to Earthquakes

Zhang

Huang

et al. 2022

Front. Earth Sci.

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Flexural toppling is one of the failure modes of anti-dip rocks, is often triggered by seismic load, occurs haphazardly under an earthquake scenario, and is characterized by high speed and extreme energy, leading to catastrophic disaster consequences and huge losses. However, there is limited literature that reveals its failure mechanisms and describes the failure surface due to earthquakes. Therefore, based on the limit equilibrium analysis method, the horizontal pseudo-static load was applied to improve the geological mechanical model under gravity only, and the stability analysis process was derived. The failure surface and failure mode of the slope under different seismic loads were analyzed. The results indicated that, with the increasing seismic load, an increase in the number of rock layers with sliding failure increased the number of rock layers with cantilever toppling failure; in contrast, the number of rock layers with overlapping toppling failure decreased. The slope toe was more prone to sliding and the slope top was more prone to cantilever toppling under an earthquake, which decreased the stability of the anti-dip rock slope.

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“…Some researchers also noted that discontinuities in rock masses affected the seismic response of the slope and control failure mechanism under earthquakes (Fan et al, 2016;Song et al, 2018a;Song et al, 2018b;Yang et al, 2018b;He et al, 2021). Physical modeling results was also applied to verify the analytical stability solution for rock slope under earthquake (Guo et al, 2017). However, the frequency of the loads involved in these studies only covered a limited range which were often smaller than intrinsic vibration frequency of the slope.…”

Section: Shaking Table Test; Resonance Effect 1 Introductionmentioning

confidence: 99%

Investigation into a Homogenous Rock Slope Response Under Wide Frequency Seismic Loads Using a Large-Scale Shaking Table

Zhan

et al. 2021

Preprint

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The main objective of this study was to investigate the effect of input earthquake characteristics on the seismic response of a homogenous step-like rock slope. A sequence of shaking table tests was performed in a large-scale physical model with a size of 3.50 m, 0.68 m and 1.20 m in length, width and height, respectively. Results showed that the absolute peak ground acceleration motion amplification factor in horizontal direction (AAF-X) of upper part of the slope was amplified comparison with that at the slope toe while the absolute peak ground acceleration motion amplification factor (AAF-Z) acquired maximum value at the lower position of the slope. With the increasing of the excitation frequencies, the AAF-X around the slope crest increased firstly and then deceased, while the AAF-Z increased continuously. Seismic response of the slope showed strongest amplification when the normalized height of the slope H/λ (ratio of slope height to wavelength) was around 0.2 and AAF-X exhibited a decrease trend when H/λ was larger than 0.2. The AAF showed nonlinear tendency with the increases of the input amplitudes, especially near the shoulder of the slope. This phenomenon can be revealed by the relationship between the calculated resonance frequency or damping ratio of the slope and the amplitude of the input motion. The excitation amplitude has a “double-effect” on the seismic response of a step-like homogeneous rock slope. That is on the one hand, the larger the excitation amplitude, the stronger the acceleration intensity, the greater deterioration of rock slope structure or material and the larger damping ratio of the slope; on the other hand, more energy will be dissipated due to plastic deformation or particle friction of high damping ratio and weaker slope structure. These results could attribute to reveal the dynamic instability mechanism of the homogeneous slope.

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An Analytical Solution for Block Toppling Failure of Rock Slopes during an Earthquake

Cited by 25 publications

References 23 publications

Study on Dynamic Response of Rock Slope With Inverse Non-Persistent Joints Under Earthquake

Study on Dynamic Response of Rock Slope With Inverse Non-Persistent Joints Under Earthquake

Analysis of Flexural Toppling Failure of Anti-Dip Rock Slopes Due to Earthquakes

Investigation into a Homogenous Rock Slope Response Under Wide Frequency Seismic Loads Using a Large-Scale Shaking Table

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