Explicit limit equilibrium solution for slope stability

Zhu, Da; Lee, C. F.

doi:10.1002/nag.260

Cited by 45 publications

(24 citation statements)

References 12 publications

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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%

“…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. Zheng and Tham [30] used the Green formula to convert the relevant domain integral calculus to boundary integral calculus.…”

Section: Geofluidsmentioning

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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Section: Geofluidsmentioning

confidence: 99%

Section: Geofluidsmentioning

confidence: 99%

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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“…The Fellenius' slice method and Bishop formula were used to calculate the slope safety factor; the results were 1.18 and 1.19, respectively [9]. Using = 0 and 0 = 1 − sin 0 = 0.79, which were calculated using Jaky's formula, formula (10) was used to calculate the slope safety factor, which was 0.98.…”

Section: Examplementioning

confidence: 99%

“…Cheng and Yip [8] have shown that rigorous method is necessary to give a reliable estimation of stability of landslides in 3D analyses. Zhu and Lee [9] conducted study on the factor of safety based on Bell's assumption. Bell's method was improved by Zheng and Tham [10].…”

Section: Introductionmentioning

confidence: 99%

A New Calculation Method for the Soil Slope Safety Factor

Fu¹,

Zhang²,

Sun³

2017

Mathematical Problems in Engineering

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Based on the unified strength theory, a new method to calculate the plane soil slope safety factor was derived that considers the effect of intermediate principal stress 2 and at-rest lateral pressure coefficient 0 . Calculation examples from the literature were used to compare the new calculation method and the current slice method; the results showed that both provided good consistency. The new method can provide a reference for slope stability evaluation. The new method was used to calculate the soil slope safety factors for different values of intermediate principal stress parameter , double shear stress parameters , and static lateral pressure coefficient 0 . The results showed that the safety factor increased when was increased; first increased and then decreased when was increased; and increased when 0 was increased. These results show that the intermediate principal stress as well as the stress state and its changes cannot be ignored during soil slope stability analysis. The slope soil characteristics and stress state should be considered to determine the unified strength theoretical parameters and static lateral pressure coefficient, maximize the potential of slope soil strength, and effectively reduce the costs of soil slope engineering.

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“…Since the equality problem of slices in the limit equilibrium method is a statically 1124 A. G. RAZDOLSKY indeterminate problem, various static assumptions are employed to render the stability problem statically determinate [1][2][3][4]. An assessment of the slope stability by the limit equilibrium method results from a comparison of the critical value of the safety factor and the required safety factor value regulated by design manuals ('Soils and foundation design manual [5]').…”

Section: Introductionmentioning

confidence: 99%

Slope stability analysis based on the direct comparison of driving forces and resisting forces

Razdolsky

2008

Num Anal Meth Geomechanics

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SUMMARYThe paper disproves a commonly accepted concept that the slope stability problem cannot be correctly solved without invoking the auxiliary static assumptions. The given slope stability analysis is based on the direct comparison of the driving force tending to induce a movement of the slope mass and the mobilized resisting force. A problem of separating the driving forces from the resisting forces is resolved by subdividing an area of the assumed slide mass into two segments wherein the driving forces dominate over the resisting forces at the first segment and vice versa at the other. The slope stability is assessed by the stability index that is equal to a ratio between the resisting forces and driving forces. The stability problem is reduced to determining and analyzing a distribution of the interslice force along the slip line length. A system of recurrence dependencies involving the components of the interslice force and the vertical coordinates of the thrust line is derived from the complete system of the slice equilibrium equations (equilibrium of the horizontal and vertical forces and the force moment equilibrium). This system falls into two subsystems of relations one of which involves only the components of the interslice force. From this it follows that a distribution of the interslice force does not depend on the thrust line position. The slope safety factor regulated by the design manuals for mobilizing the soil shear strength along the slip line is prescribed in advance. A computer program is developed for solving the governing recurrence relations and computing the slope stability index. The applicability of the program is confirmed by solving the problem on a calculation of the critical safety factor for three shapes of the slip line (a circular arc, and a cubic and quadratic parabola) and the stability problem of the real inhomogeneous slope consisting of four layers.

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Explicit limit equilibrium solution for slope stability

Cited by 45 publications

References 12 publications

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

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

A New Calculation Method for the Soil Slope Safety Factor

Slope stability analysis based on the direct comparison of driving forces and resisting forces

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