A global procedure for stability analysis of slopes based on the Morgenstern-Price assumption and its applications

Sun, Guanhua; Cheng, Shengguo; Jiang, Wei; Zheng, Hong

doi:10.1016/j.compgeo.2016.06.014

Cited by 60 publications

(16 citation statements)

References 30 publications

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“…However, obtaining the FOS of a given slip surface is a statically indeterminate problem, and some assumptions without theoretical bases must be employed in the traditional LEM to render the problem determinate. The LEM can be divided into two main categories: slices and global analysis methods . In slices methods, the indeterminacy is placed on the interslice forces, which is defined differently by various methods including the Bishop simplified method, the Morgenstern‐Price (MP) method, the Spencer method, and the Janbu simplified method .…”

Section: Introductionmentioning

confidence: 99%

Improved finite element–based limit equilibrium method for slope stability analysis by considering nonlinear strength criteria and its application in assessing the anchoring effect

Shi

Wang

Bai

et al. 2018

Num Anal Meth Geomechanics

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Summary The shear strength envelope of most geotechnical materials is nonlinear. In this study, the finite element–based limit equilibrium method (FELE) is improved to assess the stability of a prescribed slip surface that obeys a nonlinear failure criterion. Two nonlinear failure criteria, namely, the Barton criterion and the generalized Hoek‐Brown (GHB) criterion, are implemented. A power curve model that can perfectly fit the envelope of the GHB criterion is proposed to explicitly express the shear strength from the normal stress. The algorithm of the improved FELE, which includes a nonlinear criterion, is explained in detail, and the fast convergence of the method is checked by evaluating examples. The numerical examples show that, for a smooth slip surface, FELE can calculate a greater factor of safety (FOS) than that calculated using the Morgenstern‐Price (MP) method when the strength criterion of slip surface is nonlinear. In addition, FELE can determine the bell‐shaped distribution of the increase in normal stress caused by anchoring measures, which cannot be considered in the MP method.

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Section: Introductionmentioning

confidence: 99%

Improved finite element–based limit equilibrium method for slope stability analysis by considering nonlinear strength criteria and its application in assessing the anchoring effect

Shi

Wang

Bai

et al. 2018

Num Anal Meth Geomechanics

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“…However, this method has not received sufficient attention, even in the summary provided by Duncan [27]. Until 2002, researchers in many studies [4,[28][29][30] have used similar methods. For example, in Bell's derivation process, Zhu et al [29] and Zhu and Lee [28] used quadratic interpolation to solve the slip surface normal stress distribution and derive one variable cubic equation with an unknown safety factor.…”

Section: Geofluidsmentioning

confidence: 99%

“…By applying the Laplace transform to (4), solving the equations, and applying the inverse transform [31,32], the (9)). …”

Section: Models Used In This Study As Shown Inmentioning

confidence: 99%

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A Simplified Solution for Calculating the Phreatic Line and Slope Stability during a Sudden Drawdown of the Reservoir Water Level

et al. 2018

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On the basis of the Boussinesq unsteady seepage differential equation, a new simplified formula for the phreatic line of slopes under the condition of decreasing reservoir water level is derived by means of the Laplacian matrix and its inverse transform. In this context, the expression of normal stress on the slip surface under seepage forces is deduced, and a procedure for obtaining the safety factors under hydrodynamic forces is proposed. A case study of the Three Gorges Reservoir is used to analyze the influences of the water level, decreasing velocity and the permeability coefficient on slope stability.

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“…Zheng et al [25] proposed a probabilistic block theory analysis code (PBTAC) according to the variability of the discontinuity orientation and shear strength for a part of open pit mine in the USA, and the numerical results using PBTAC closely conform to those reported by the mining company. Carranza-Torres et al [26] employed analytical models and numerical finite-difference method to analyze the geomechanical stability of shallow cavities for compressed air energy storage (CAES).When handling general movable blocks with multiple structural planes, Sun et al [27,28] reported an optimization model for solving the safety factor of blocks based on KBT. This optimization model considered the safety factor and the normal stress on the slip surface as two independent variables.…”

Section: Introductionmentioning

confidence: 99%

Jointed Surrounding Rock Mass Stability Analysis on an Underground Cavern in a Hydropower Station Based on the Extended Key Block Theory

Jia

Lian

et al. 2017

Energies

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Abstract:The jointed surrounding rock mass stability is of utmost importance to integral stability during the construction and long-term safety operation of the underground caverns in hydropower stations. The key blocks play a significant role in the integral stability of the jointed surrounding rock mass, therefore it is critical to determine the location, size, and failure mode of random key blocks. This paper proposes an improved method combining the traditional key block theory (KBT) and the force transfer algorithm to accurately calculate the safety factors of probabilistic key blocks in the surrounding rock mass. The force transfer algorithm can consider the interactions between the internal blocks. After the probabilistic characteristics of the joint fissures are obtained, the stereographic projection method is employed to determine the locations of dangerous joints. Then the vector analysis method is used to search the random blocks, determine the sliding directions of random blocks, and calculate the block sizes and safety factors near the free surface of the underground cavern, which can be used to comprehensively evaluate the surrounding rock mass stability. The above numerical results have provided powerful guidance for developing a reinforcement system for the surrounding rock mass.

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A global procedure for stability analysis of slopes based on the Morgenstern-Price assumption and its applications

Cited by 60 publications

References 30 publications

Improved finite element–based limit equilibrium method for slope stability analysis by considering nonlinear strength criteria and its application in assessing the anchoring effect

Improved finite element–based limit equilibrium method for slope stability analysis by considering nonlinear strength criteria and its application in assessing the anchoring effect

A Simplified Solution for Calculating the Phreatic Line and Slope Stability during a Sudden Drawdown of the Reservoir Water Level

Jointed Surrounding Rock Mass Stability Analysis on an Underground Cavern in a Hydropower Station Based on the Extended Key Block Theory

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