Improved Vanmarcke analytical model for 3D slope reliability analysis

Zhang, Wensheng; Luo, Qiang; Jiang, Li; Wang, Tengfei; Tang, Chong; Li, Zhengtao

doi:10.1016/j.compgeo.2021.104106

Cited by 5 publications

(3 citation statements)

References 25 publications

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“…From Equation (24), c K can be solved directly without iteration. When the distribution type, mean, and variance of random variables are known, the first-order second-moment method (FOSM) can be used to solve the approximate analytical solution of the reliability index [13,31]. In addition, it can be found from the expression composition of Equation ( 24) that K c is an explicit function of soil strength parameters c and ϕ.…”

Section: Three-dimensional Slope Reliability Calculation Methodsmentioning

confidence: 99%

“…From Equation (24), K c can be solved directly without iteration. When the distribution type, mean, and variance of random variables are known, the first-order second-moment method (FOSM) can be used to solve the approximate analytical solution of the reliability index [13,31].…”

Section: Three-dimensional Slope Reliability Calculation Methodsmentioning

confidence: 99%

“…Water 2023, 15, 3139 2 of 16 In recent years, the research on 3D slope reliability analysis methods has gradually increased with the improvement of computer performance. The existing 3D slope reliability analysis methods mainly include the analytical method [12,13], stochastic finite element method (SFEM) [1,14], stochastic limit equilibrium method (SLEM) [15], and stochastic limit analysis method (SLAM) [16]. The research of these methods is carried out under the framework of combining the deterministic method of 3D slope stability and the reliability calculation method.…”

Section: Introductionmentioning

confidence: 99%

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A Simplified Method for Effective Calculation of 3D Slope Reliability

Chen,

Zhu,

Zhu

2023

Water

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Traditional 3D slope reliability analysis methods have high computational costs and are difficult to popularize in engineering practice. Under the framework of the limit equilibrium method with 3D slip surface normal stress correction, the critical horizontal acceleration coefficient Kc, which is equivalent to the safety factor Fs, is selected to characterize the slope stability. The limit state function uses the difference between Kc and the known critical value Kc0. A simplified method for calculating the reliability of 3D slope is proposed. Through two typical slope examples, the 3D reliability calculation results of six methods after coupling two limit state functions and three reliability algorithms are compared. The results show that this method is reliable and effective, and the method coupled with subset simulation (SS) is the one with good calculation accuracy and efficiency. In the case of long slopes, 2D analysis results may underestimate the probability of slope instability, and 3D reliability of the slope must be analyzed.

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Section: Three-dimensional Slope Reliability Calculation Methodsmentioning

confidence: 99%

Section: Three-dimensional Slope Reliability Calculation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Simplified Method for Effective Calculation of 3D Slope Reliability

Chen,

Zhu,

Zhu

2023

Water

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System safety assessment with efficient probabilistic stability analysis of engineered slopes along a new rail line

Wang

Luo

et al. 2022

Bull Eng Geol Environ

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System reliability evaluation of long railway subgrade slopes considering discrete instability

et al. 2022

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This paper develops a dual-indicator discrete method (DDM) for evaluating the system reliability performance of long soil subgrade slopes. First, they are segmented into many slope sections using the random finite element method, to ensure each section statistically contains one potential local instability. Then, the $$k$$ k -out-of-$$n$$ n system model is used to describe the relationship between the total number of sections $$n$$ n , the acceptable number of failure sections $$m$$ m , the reliability of sections $$R_{{{\text{sec}}}}$$ R sec , and the system reliability $$R_{{{\text{sys}}}}$$ R sys . Finally, $$m$$ m and $$R_{{{\text{sys}}}}$$ R sys are jointly used to assess the system reliability performance. For cases lacking spatial data of soil properties, a simplified DDM is provided in which long subgrade slopes are segmented by the empirical value of section length and $$R_{{{\text{sec}}}}$$ R sec is substituted by that of cross-sections taken from them. The results show that (1) DDM can provide the probability that the actual number of local instabilities does not exceed a desired threshold. (2) $$R_{{{\text{sys}}}}$$ R sys decreases with increasing $$n$$ n or decreasing $$R_{{{\text{sec}}}}$$ R sec ; that is, it is likely to encounter more local instabilities for longer or weaker subgrade slopes. $$n$$ n is negatively related to the horizontal scale of fluctuation of soil properties and positively related to the total length of subgrade slopes $$L$$ L . (3) When $$L$$ L is sufficiently large, there is a considerable opportunity to meet local instabilities even if $$R_{{{\text{sec}}}}$$ R sec is large enough.

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Improved Vanmarcke analytical model for 3D slope reliability analysis

Cited by 5 publications

References 25 publications

A Simplified Method for Effective Calculation of 3D Slope Reliability

A Simplified Method for Effective Calculation of 3D Slope Reliability

System safety assessment with efficient probabilistic stability analysis of engineered slopes along a new rail line

System reliability evaluation of long railway subgrade slopes considering discrete instability

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