Three-dimensional reinforced slopes: Evaluation of required reinforcement strength and embedment length using limit analysis

Gao, Yufeng; Yang, Shangchuan; Zhang, Fei; Leshchinsky, Ben

doi:10.1016/j.geotexmem.2015.07.007

Cited by 60 publications

(7 citation statements)

References 24 publications

(37 reference statements)

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“…This failure mechanism was further adopted for analyzing the static stability of slopes with reinforcement (Gao et al [20]; Zhang et al [21]; Yang et al [22]). Different from the rotational failure mechanism for homogeneous slopes, the slip surface passes along the weak thin layer when a weak layer exists (Griffiths and Marquez [3]; Ho [4]) because the weak layer governs the failure mechanism.…”

Section: Upper-bound Theoremmentioning

confidence: 99%

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Zheng

Yang

Zhou

et al. 2017

Mathematical Problems in Engineering

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The presence of a weak layer has an adverse influence on the seismic performance of slopes. The upper-bound solution serves as a rigorous method in the stability analysis of geotechnical problems. In this study, a multi-rigid-block solution based on the category of the upper-bound theorem of limit analysis is presented to examine the seismic performance of nonhomogeneous slopes with a weak thin layer. Comparison of the static factors of safety is conducted with various solutions (i.e., limit analysis with a different failure mechanism, limit equilibrium solution, and numerical method), and the results exhibit reasonable consistency. An analytical solution in estimating the critical yield acceleration coefficient is derived, and the influence of slope angle, slope height, and soil strength on the critical yield acceleration coefficient and failure mechanism is analyzed. Subsequently, Newmark's analytical procedure is employed to evaluate cumulative displacement with various real earthquake acceleration records as input motion. Results show that the strength and geometric parameters have a remarkable influence on the critical yield acceleration coefficient, and the cumulative displacement increases with the increasing slope angle.

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Section: Upper-bound Theoremmentioning

confidence: 99%

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Zheng

Yang

Zhou

et al. 2017

Mathematical Problems in Engineering

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“…In limit analysis theory, soil is assumed to deform plastically according to the normality rule associated with the Mohr-Coulomb yield criterion (e.g., Lu et al [17]). For homogeneous slopes, the rotational log-spiral failure mechanism has been found to be the most adverse for the stability of slopes (e.g., Chen [3]; Chang et al [7]; Li et al [8]; Gao et al [18]; Gao et al [19]). When a weak layer exists (the strength of a layer is relatively weak) in a slope, the slip surface of the soil slides along the weak layer (Griffiths and Marquez [14]; Huang et al [16]).…”

Section: Critical Yield Acceleration Coefficient For Pile-reinforced mentioning

confidence: 99%

“…Additionally, the geometry of the slope and soil properties are contained in coefficient , which is involved in the optimization of the collapse mechanism. The double integral in (19) is dependent on the earthquake acceleration record and the critical yield acceleration coefficient of the pile-reinforced slope.…”

Section: Assessment Of Cumulative Displacement Of Pile-reinforced Slomentioning

confidence: 99%

Displacement of Pile-Reinforced Slopes with a Weak Layer Subjected to Seismic Loads

Zhou¹,

Zheng²,

Yang³

et al. 2016

Mathematical Problems in Engineering

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The presence of a weak layer in a slope requires special attention because it has a negative impact on slope stability. However, limited insight into the seismic stability of slopes with a weak layer exists. In this study, the seismic stability of a pile-reinforced slope with a weak thin layer is investigated. Based on the limit analysis theory, a translational failure mechanism for an earth slope is developed. The rotational rigid blocks in the previous rotational-translational failure mechanism are replaced by continuous deformation regions, which consist of a sequence ofnrigid triangles. The predicted static factor of safety and collapse mechanism in two typical examples of slopes with a weak layer compare well with the results obtained from the available literature and by using the Discontinuity Layout Optimization (DLO) technique. The lateral forces provided by the stabilizing piles are evaluated using the theory of plastic deformation. An analytical solution for estimating the critical yield acceleration coefficient for the pile-reinforced slopes is derived. Based on the proposed translational failure mechanism and the corresponding critical yield acceleration coefficient, Newmark’s analytical procedure is employed to evaluate the cumulative displacement. Considering different real earthquake acceleration records as input motion, the effect of stabilizing piles and varying the spacing of piles on the cumulative displacement of slopes with a weak layer is investigated.

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“…In general, geotextile reinforcement is assumed as an equivalent force on the slope. Limit equilibrium and limit analysis methods have been employed to examine the stability of slopes reinforced with geotextiles [ 16 , 17 ]. In addition, other numerical methods, as well as the finite element approach, have been chosen to assist in evaluating the final stability of reinforced slopes against total forces [ 18 , 19 , 20 ].…”

Section: Introductionmentioning

confidence: 99%

Reliability Estimation of Reinforced Slopes to Prioritize Maintenance Actions

BahooToroody

Khalaj

Leoni

et al. 2021

IJERPH

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Geosynthetics are extensively utilized to improve the stability of geotechnical structures and slopes in urban areas. Among all existing geosynthetics, geotextiles are widely used to reinforce unstable slopes due to their capabilities in facilitating reinforcement and drainage. To reduce settlement and increase the bearing capacity and slope stability, the classical use of geotextiles in embankments has been suggested. However, several catastrophic events have been reported, including failures in slopes in the absence of geotextiles. Many researchers have studied the stability of geotextile-reinforced slopes (GRSs) by employing different methods (analytical models, numerical simulation, etc.). The presence of source-to-source uncertainty in the gathered data increases the complexity of evaluating the failure risk in GRSs since the uncertainty varies among them. Consequently, developing a sound methodology is necessary to alleviate the risk complexity. Our study sought to develop an advanced risk-based maintenance (RBM) methodology for prioritizing maintenance operations by addressing fluctuations that accompany event data. For this purpose, a hierarchical Bayesian approach (HBA) was applied to estimate the failure probabilities of GRSs. Using Markov chain Monte Carlo simulations of likelihood function and prior distribution, the HBA can incorporate the aforementioned uncertainties. The proposed method can be exploited by urban designers, asset managers, and policymakers to predict the mean time to failures, thus directly avoiding unnecessary maintenance and safety consequences. To demonstrate the application of the proposed methodology, the performance of nine reinforced slopes was considered. The results indicate that the average failure probability of the system in an hour is 2.8×10−5 during its lifespan, which shows that the proposed evaluation method is more realistic than the traditional methods.

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Three-dimensional reinforced slopes: Evaluation of required reinforcement strength and embedment length using limit analysis

Cited by 60 publications

References 24 publications

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Displacement of Pile-Reinforced Slopes with a Weak Layer Subjected to Seismic Loads

Reliability Estimation of Reinforced Slopes to Prioritize Maintenance Actions

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