Probabilistic stability analysis of embankment slopes considering the spatial variability of soil properties and seismic randomness

Zhang, Wengang; Wu, Jiahao; Gu, Xiaoqiang; Han, Liang; Wang, Lin

doi:10.1007/s11629-021-6981-2

Cited by 16 publications

(2 citation statements)

References 51 publications

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“…In addition, reliability analysis is necessary to predict the precise seismic impact on the soil as well as the structure. Several scholars (Zhang et al, 2021(Zhang et al, , 2022 studied reliability and probabilistic stability to evaluate the behavior of sloping ground under seismic excitations and observed satisfactory responses to the slope. The seismic landslide response of the sand has been recorded by the shaking table test (Chen et al, 2019), and the maximum particle displacement was obtained at a 30 °sloping angle of sand.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear anisotropic finite element analysis of liquefiable tunnel–sand–pile interaction under seismic excitation

Haque

2023

Deep Underground Science and Engineering

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Nonlinear time‐history analysis can be used to determine the liquefiable behaviors of the tunnel–sand–pile interaction (TSPI) model with the consideration of sand anisotropy. This study presents the nonlinear response of the TSPI model with the existence of liquefaction under seismic excitation. The analysis reveals that tunnel and pile behave as isotropic elements, while sand shows isotropic, orthotropic, and anisotropic characteristics. Three constitutive models including UBC3D‐PLM (two yield surfaces associated with the hardening rule), NGI‐ADP (yielding with associated plastic potential function), and a user‐specified constitutive model are adopted to evaluate the isotropic, orthotropic, and anisotropic behaviors of sand. On this basis, two finite element‐based codes (ETABS 18.1.1 and Plaxis 3D) are used to evaluate sand behaviors and responses. Responses of the tunnel, sand, pile, and excess pore pressure ratio are recorded in the interaction zone by varying the pile diameter, tunnel diameter, and tunnel–pile clearance. Compared with the orthotropic and isotropic conditions, lower variations of results are found in the anisotropic condition, except for the case of generation of excess pore pressure. In addition, the present reanalysis results are in agreement with previous analytical and case study results, which further indicates the effectiveness of the finite element‐based numerical codes.

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Section: Introductionmentioning

confidence: 99%

Nonlinear anisotropic finite element analysis of liquefiable tunnel–sand–pile interaction under seismic excitation

Haque

2023

Deep Underground Science and Engineering

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“…A slope is generally constituted by rock and soil materials with different strength characteristics (Zhang et al, 2021). Zhang et al (2022) studied the influence of spatial variability of soil properties on embankment slope stability, and the research results show that it has more significant effects on the slope failure probability. Furthermore, the non‐circular slip surface of the slope has been previously considered as a logarithmic spiral slip surface based on variational principle and supremum principle.…”

Section: Introductionmentioning

confidence: 99%

One simplified method for seismic stability analysis of an unsaturated slope considering seismic amplification effect

Huang¹,

Tao

Wang

2023

Geological Journal

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Seismic amplification effect in soil slope is not considered by traditional Newmark method; therefore, there will be some deviation in soil slope seismic stability analysis. In order to determine the effect of seismic amplification effect, a simplified method for unsaturated slope stability evaluation is proposed by coupling the Sweden slice method and Newmark method. Research results show that the seismic amplification effect has a great influence on yield acceleration of the slope while it exerts a little influence on critical slip surface shape; if the seismic amplification effect is not considered, permanent displacement of the slope will be underestimated, and there is potential danger in seismic design of slope engineering. Finally, an unsaturated slope model with 1:20 scale is designed through derivation of similarity law, and progressive failure process of the slope under seismic action is simulated. The results of our proposed method are in good agreement with experimental results, which proves the feasibility of our proposed method. This study can provide a simple and reliable method for evaluating the seismic stability of an unsaturated slope.

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Bootstrap method for characterizing statistical uncertainty in bivariate shear strength parameters and its application to reliability‐based design of slopes

Tang,

Hu,

Zang

et al. 2023

Geological Journal

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This study characterizes the statistical uncertainties in the bivariate distribution of friction angle and cohesion of soils using bootstrap method and explores its application to the reliability‐based design of slopes. First, the bivariate distribution of friction angle and cohesion is modelled using the copula approach based on limited test data. Then, the statistical uncertainties in the derived bivariate distribution of friction angle and cohesion are characterized by the bootstrap method. Finally, an infinite slope is employed to investigate the impact of the statistical uncertainties in friction angle and cohesion on slope reliability. The reliability‐based designs of slopes based on the point and interval estimate of reliability index are compared. The results indicate that the bivariate distribution of friction angle and cohesion derived from limited test data exhibits large statistical uncertainties. The reliability index of the infinite slope shows visible variation because of the large statistical uncertainties in friction angle and cohesion. The reliability index of slopes considering the statistical uncertainties in friction angle and cohesion is presented as a confidence interval. The interval estimate of reliability index gives a more comprehensive description of slope reliability than the point estimate of reliability index. Furthermore, the reliability‐based design of slopes based on the interval estimate of reliability index can reflect the effect of the amount of test data on the design and link the site investigation efforts and investments on shear tests to final design savings.

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Probabilistic stability analysis of embankment slopes considering the spatial variability of soil properties and seismic randomness

Cited by 16 publications

References 51 publications

Nonlinear anisotropic finite element analysis of liquefiable tunnel–sand–pile interaction under seismic excitation

Nonlinear anisotropic finite element analysis of liquefiable tunnel–sand–pile interaction under seismic excitation

One simplified method for seismic stability analysis of an unsaturated slope considering seismic amplification effect

Bootstrap method for characterizing statistical uncertainty in bivariate shear strength parameters and its application to reliability‐based design of slopes

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