Reliability Analysis of Seismic Slope Stability with Uncertain Probability Distributions

Xu, Zhaoxia; Zhou, Xiaoping; Qi, Qian

doi:10.1061/(asce)gm.1943-5622.0002010

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…The transformed variable is then used in FORM to estimate the P f and further related statistics. For more details and basic information on FMNT readers may refer to Xu et al [2]. A detailed procedure illustrating the steps to use FMNT for the probabilistic analysis of a RSW is also given in the form of a flowchart in Fig.…”

Section: Probabilistic Analysis Using Fmntmentioning

confidence: 99%

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Probabilistic Assessment of Reinforced Soil Walls Using Fourth Moment Normal Transformation

Agarwal¹,

Pain²,

Zhou³

2023

Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)

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Fourth Moment Normal Transformation (FMNT) is an efficient method to probabilistically scrutinize the stability of reinforced soil walls (RSW). The methodology doesn't require the assumption of the distribution of involved random variables to estimate the probability of failure (P f ) and subsequently the safety of RSW. Rather, the P f is calculated using the first four moments (mean, standard deviation, skewness, and kurtosis) associated with the random variables. The present study is focused on assessing the stability of RWS using FMNT. The internal friction angle (φ), soil unit weight (γ ), and the allowable reinforcement strength (T ult ) are chosen as random variables. A detailed and straightforward procedure for using FMNT is presented besides comparing its accuracy with the results obtained using the first-order reliability method (FORM). Further, a clear comparison of the efficiency of FMNT is showcased by comparing the obtained results with those calculated using the Monte Carlo simulation (MCS). The results depict that the proposed concept can be smoothly used by researchers and practicing engineers in the field to obtain the probability distributions and consequently the P f associated with RSW.

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Section: Probabilistic Analysis Using Fmntmentioning

confidence: 99%

“…It can be used in various fields of engineering to obtain different distributions and even design when the distribution data is unavailable. Recently, Xu et al [2] used it to design unreinforced slopes. However, still there is a scarcity of literature on the use of FMNT for both, unreinforced and reinforced walls, and slopes.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Reinforced Soil Walls Using Fourth Moment Normal Transformation

Agarwal¹,

Pain²,

Zhou³

2023

Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)

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Nonlinear energy consumption analysis of multi-stage slope stability subjected to seismic effect and surcharge

LUO,

LU,

et al. 2024

Sci. Sin.-Tech.

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Reliability assessment of reinforced slopes with unknown probability distribution

Agarwal

Pain

2023

Geosynthetics International

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In the proposed study, reliability assessment of the reinforced slope (RFS) is carried out using an efficient and accurate technique of Fourth Moment Normal Transformation (FMNT). The probabilistic analysis is performed using both analytical and numerical methods. FMNT can estimate the probability of failure (Pf) of a RFS with unknown marginal distribution of input random variables. Only the first four moments of any random variable with unknown distribution is required to estimate the Pf of RFS. The use of FMNT with commercially available numerical software packages is precisely explained. The accuracy of the proposed technique, when used with different distributions of random variables is also illustrated. The present results show considerable efficiency of FMNT in estimating the Pf when used in analytical domain as well as with a numerical software. A detailed comparison in terms of the efficiency of the proposed formulation is also made with similar literature. FMNT is very useful for the designers to perform the reliability-based analysis of RFS. The present analytical method is also capable of incorporating the pseudo-static seismic forces into calculation.

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Reliability Analysis of Seismic Slope Stability with Uncertain Probability Distributions

Cited by 3 publications

References 30 publications

Probabilistic Assessment of Reinforced Soil Walls Using Fourth Moment Normal Transformation

Probabilistic Assessment of Reinforced Soil Walls Using Fourth Moment Normal Transformation

Nonlinear energy consumption analysis of multi-stage slope stability subjected to seismic effect and surcharge

Reliability assessment of reinforced slopes with unknown probability distribution

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