Safety factors and the probability distribution of soil strength
01 Aug 1970-Canadian Geotechnical Journal (NRC Research Press Ottawa, Canada)-Vol. 7, Iss: 3, pp 225-242
TL;DR: In this article, the authors compared the natural variabilities of cohesive and frictional components of strength for soil in undisturbed state and as compacted in earth dams, and found that the frictional component of strength is more stable than the cohesive component.
Abstract: For soils exhibiting both cohesive and frictional components of strength, the natural variabilities of the components are compared for soil in the undisturbed state and as compacted in earth dams. ...
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TL;DR: This paper used random field theory and elasto-plastic finite element analysis to evaluate the extent to which spatial variability and cross-correlati cation is associated with spatially varying shear strengths.
Abstract: Soils with spatially varying shear strengths are modeled using random field theory and elasto-plastic finite element analysis to evaluate the extent to which spatial variability and cross-correlati...
427 citations
Cites background from "Safety factors and the probability ..."
...Cherubini (2000) quotes values of ranging from 0 24 to 0 70, as does Wolff (1985) (see also Yuceman et al., 1973, Lumb, 1970, and Cherubini, 1997)....
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TL;DR: In this article, the authors discuss some improvements on the first-order second-moment (FOSM) probabilistic approach to slope design, using the stability model by Morgenstern and Price.
Abstract: This paper discusses some improvements on the first-order second-moment (FOSM) probabilistic approach to slope design. The stability model by Morgenstern and Price is used for the formulation of th...
301 citations
TL;DR: In this paper, a non-intrusive stochastic finite element method for slope reliability analysis considering spatially variable shear strength parameters is proposed, which does not require the user to modify existing deterministic finite element codes, which provides a practical tool for analyzing slope reliability problems that require complex finite element analysis.
284 citations
Cites background from "Safety factors and the probability ..."
...The cohesion and friction angle, often used for slope reliability analysis, are considered to be negatively correlated (e.g., Lumb, 1970; Wolff, 1985; Cho, 2010; Tang et al., 2013)....
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...Several studies (Lumb, 1970; Wolff, 1985; Tang et al., 2012) reported values of ρc,ϕ....
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TL;DR: In this paper, a probabilistic slope stability analysis is presented, where two-dimensional random fields are generated based on a Karhunen-Loeve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function, and a Monte Carlo simulation is used to determine the statistical response based on the generated random fields.
Abstract: In this paper, a numerical procedure for probabilistic slope stability analysis is presented. This procedure extends the traditional limit equilibrium method of slices to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil strength parameters. In this study, two-dimensional random fields were generated based on a Karhunen-Loeve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation was then used to determine the statistical response based on the generated random fields. This approach makes no assumption about the critical failure surface. Rather, the critical failure surface corresponding to the input random fields of soil properties is searched during the process of analysis. A series of analyses was performed to verify the application potential of the proposed method and to study the effects of uncertainty due to the spatial heterogeneity on the stability of slope. The results show that the proposed method can efficiently consider the various failure mechanisms caused by the spatial variability of soil property in the probabilistic slope stability assessment.
273 citations
TL;DR: In this paper, a Monte Carlo simulation (MCS) based approach for efficient evaluation of the system failure probability P f, s of slope stability in spatially variable soils is presented.
Abstract: Monte Carlo simulation (MCS) provides a conceptually simple and robust method to evaluate the system reliability of slope stability, particularly in spatially variable soils. However, it suffers from a lack of efficiency at small probability levels, which are of great interest in geotechnical design practice. To address this problem, this paper develops a MCS-based approach for efficient evaluation of the system failure probability P f , s of slope stability in spatially variable soils. The proposed approach allows explicit modeling of the inherent spatial variability of soil properties in a system reliability analysis of slope stability. It facilitates the slope system reliability analysis using representative slip surfaces (i.e., dominating slope failure modes) and multiple stochastic response surfaces. Based on the stochastic response surfaces, the values of P f , s are efficiently calculated using MCS with negligible computational effort. For illustration, the proposed MCS-based system reliab...
253 citations
Additional excerpts
..., [20:7, 0] is used in this study (Lumb 1970; Yucemen et al. 1973; Tang et al. 2012)....
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