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Probabilistic stability analysis of geosynthetic-reinforced slopes under pseudo-static and modified pseudo-dynamic conditions
Abstract An efficient and accurate reliability-based design of the geosynthetic-reinforced slopes (GRS) using the pseudo-static and modified pseudo-dynamic framework is proposed in the present study. Deterministic formulation used in the present study is made robust with the help of nonlinear constrained optimization. The collocation based stochastic response surface method (CSRSM) is used to probabilistically analyze the GRS. The critical modes of failure pertaining to the internal and external stability of the GRS are considered in the formation of the performance functions. The horizontal seismic acceleration coefficient (k h), internal friction angle of soil (φ), soil unit weight (γ), shear wave velocity (V s), and friction angle at the interface between soil and reinforcement (φ b) are chosen as the random variables, owing to their high influence on the stability of the GRS. The influence of correlation on the stability of the reinforced slope is illustrated considering the internal and external stability. System reliability analysis considering the internal and external modes of failure is also performed. An illustrative example is presented showing the steps to design a GRS using the proposed formulation. The results confirm the necessity of performing the system reliability analysis to estimate an accurate value of probability of failure of GRS.
Highlights Deterministic model uses (5N-1) formulation of HSM with non-linear constrained optimization for internal stability. A third order multidimensional PCE is used to construct the Stochastic Response Surface for the probabilistic analysis. The effect of correlation on the stability of the geosynthetic reinforced slope (GRS) is presented. A comparative analysis of the CSRSM with conventional MCS is conducted. kh, Vs, f, ϕb, and γ are chosen as random variables. A system reliability analysis of the GRS is performed.
Probabilistic stability analysis of geosynthetic-reinforced slopes under pseudo-static and modified pseudo-dynamic conditions
Abstract An efficient and accurate reliability-based design of the geosynthetic-reinforced slopes (GRS) using the pseudo-static and modified pseudo-dynamic framework is proposed in the present study. Deterministic formulation used in the present study is made robust with the help of nonlinear constrained optimization. The collocation based stochastic response surface method (CSRSM) is used to probabilistically analyze the GRS. The critical modes of failure pertaining to the internal and external stability of the GRS are considered in the formation of the performance functions. The horizontal seismic acceleration coefficient (k h), internal friction angle of soil (φ), soil unit weight (γ), shear wave velocity (V s), and friction angle at the interface between soil and reinforcement (φ b) are chosen as the random variables, owing to their high influence on the stability of the GRS. The influence of correlation on the stability of the reinforced slope is illustrated considering the internal and external stability. System reliability analysis considering the internal and external modes of failure is also performed. An illustrative example is presented showing the steps to design a GRS using the proposed formulation. The results confirm the necessity of performing the system reliability analysis to estimate an accurate value of probability of failure of GRS.
Highlights Deterministic model uses (5N-1) formulation of HSM with non-linear constrained optimization for internal stability. A third order multidimensional PCE is used to construct the Stochastic Response Surface for the probabilistic analysis. The effect of correlation on the stability of the geosynthetic reinforced slope (GRS) is presented. A comparative analysis of the CSRSM with conventional MCS is conducted. kh, Vs, f, ϕb, and γ are chosen as random variables. A system reliability analysis of the GRS is performed.
Probabilistic stability analysis of geosynthetic-reinforced slopes under pseudo-static and modified pseudo-dynamic conditions
Agarwal, E. (author) / Pain, A. (author)
Geotextiles and Geomembranes ; 49 ; 1565-1584
2021-07-21
20 pages
Article (Journal)
Electronic Resource
English
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