Generalized Limit Equilibrium Method for Slope Stability Analysis

2012 ◽  
Vol 170-173 ◽  
pp. 557-568 ◽  
Author(s):  
Chuan Zhi Huang ◽  
Yong Hua Cao ◽  
Wan He Sun
Keyword(s):  
Slope Stability ◽  
Safety Factor ◽  
Limit Analysis ◽  
Limit Equilibrium ◽  
Soil Mass ◽  
Limit Equilibrium Method ◽  
Sliding Surface ◽  
Analysis Method ◽  
Equilibrium Method ◽  
Genuine Solution

On the basis of the limit equilibrium method and the physical significance of Coulomb’s yield criteria, extremum conditions of yield functions is established, which will be the fundamental equations for the limit analysis of soil mass. Once the stress equation along a sliding surface is available, the normal stress on the sliding surface can be obtained, a new limit analysis method, generalized limit equilibrium method (GLEM), can be established. With the generalized limit equilibrium method, an analysis method to solve the problem of slope stability can be obtained without introducing any other assumptions or simplified conditions but the sliding surface. With this algorithm, any discretionally possible sliding surface can be trial calculated and the least value of the calculated results of different sliding surfaces is taken as the safety factor. As long as a selected sliding surface is close to the true sliding surface, the derived safety factor will be approximate to the genuine solution to a problem of slope stability.

Slope Stability Analysis of Elastic Limit Equilibrium Method

2013 ◽  
Vol 275-277 ◽  
pp. 1423-1426
Author(s):  
Lin Kuang ◽  
Ai Zhong Lv ◽  
Yu Zhou
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Slope Stability Analysis ◽  
Sliding Surface ◽  
Tangential Stresses ◽  
Equilibrium Method

Based on finite element analysis software ANSYS, slope stability analysis is carried out by Elastic limiting equilibrium method proposed in this paper. A series of sliding surface of the slope can be assumed firstly, and then stress field along the sliding surface is analyzed as the slope is in elastic state. The normal and tangential stresses along each sliding surface can be obtained, respectively. Then the safety factor for each slip surface can be calculated, the slip surface which the safety factor is smallest is the most dangerous sliding surface. This method is different from the previous limit equilibrium method. For the previous limit equilibrium method, the normal and tangential stresses along the sliding surface are calculated based on many assumptions. While, the limit equilibrium method proposed in this paper has fewer assumptions and clear physical meaning.

Reliability Analysis Based on Multi Sliding Surface Method

2013 ◽  
Vol 405-408 ◽  
pp. 576-579
Author(s):  
Yong Hua Cao ◽  
Chuan Zhi Huang
Keyword(s):  
Reliability Analysis ◽  
Safety Factor ◽  
Reliability Index ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Sliding Surface ◽  
Random Field Theory ◽  
Surface Method ◽  
Equilibrium Method ◽  
The Stability

The reliability theory based analysis is more advanced and reasonable compared with the traditional methods for slope stability analysis. Limit equilibrium method is usually used to evaluate the stability of a slope. In this paper, a new reliability analysis method is obtained based on JC method and multi sliding surface method which a new limit equilibrium method developed by Huang. Then, this new method is applied for a wharf slope. The sliding surface get from the safety factor is not the same as that from reliability index though they are close to each other. The safety factor or reliability index get from Fellenius method is smaller than that from other method. The safety factor or reliability index get from multi sliding surface method is close to that from Bishops method. The reliability index can be more reasonable after the standard deviation of the soil property index is deduced with random field theory.

scholarly journals Relation of Limit Equilibrium Method to Limit Analysis Method

1991 ◽  
Vol 31 (4) ◽  
pp. 37-47 ◽  
Author(s):  
Meiketsu Enoki ◽  
Norio Yagi ◽  
Ryuichi Yatabe ◽  
Elzaburo Ichimoto
Keyword(s):  
Limit Analysis ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Analysis Method ◽  
Equilibrium Method ◽  
Limit Analysis Method

scholarly journals Slope Stability Analysis Using Limit Equilibrium Method in Nonlinear Criterion

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hang Lin ◽  
Wenwen Zhong ◽  
Wei Xiong ◽  
Wenyu Tang
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Limit Equilibrium ◽  
Friction Angle ◽  
Limit Equilibrium Method ◽  
Slope Stability Analysis ◽  
Cohesive Strength ◽  
Equilibrium Method ◽  
Coulomb Criterion

In slope stability analysis, the limit equilibrium method is usually used to calculate the safety factor of slope based on Mohr-Coulomb criterion. However, Mohr-Coulomb criterion is restricted to the description of rock mass. To overcome its shortcomings, this paper combined Hoek-Brown criterion and limit equilibrium method and proposed an equation for calculating the safety factor of slope with limit equilibrium method in Hoek-Brown criterion through equivalent cohesive strength and the friction angle. Moreover, this paper investigates the impact of Hoek-Brown parameters on the safety factor of slope, which reveals that there is linear relation between equivalent cohesive strength and weakening factorD. However, there are nonlinear relations between equivalent cohesive strength and Geological Strength Index (GSI), the uniaxial compressive strength of intact rockσci, and the parameter of intact rockmi. There is nonlinear relation between the friction angle and all Hoek-Brown parameters. With the increase ofD, the safety factor of slopeFdecreases linearly; with the increase of GSI,Fincreases nonlinearly; whenσciis relatively small, the relation betweenFandσciis nonlinear, but whenσciis relatively large, the relation is linear; with the increase ofmi,Fdecreases first and then increases.

Some difficulties associated with the limit equilibrium method of slices

1983 ◽  
Vol 20 (4) ◽  
pp. 661-672 ◽  
Author(s):  
R. K. H. Ching ◽  
D. G. Fredlund
Keyword(s):  
Slope Stability ◽  
Factor Of Safety ◽  
Limit Equilibrium ◽  
Stability Limit ◽  
Limit Equilibrium Method ◽  
Soil Conditions ◽  
Side Force ◽  
Limit Equilibrium Methods ◽  
Equilibrium Method ◽  
The Stability

Several commonly encountered problems associated with the limit equilibrium methods of slices are discussed. These problems are primarily related to the assumptions used to render the inherently indeterminate analysis determinate. When these problems occur in the stability computations, unreasonable solutions are often obtained. It appears that problems occur mainly in situations where the assumption to render the analysis determinate seriously departs from realistic soil conditions. These problems should not, in general, discourage the use of the method of slices. Example problems are presented to illustrate these difficulties and suggestions are proposed to resolve these problems. Keywords: slope stability, limit equilibrium, method of slices, factor of safety, side force function.

The Block Spring Model for Slope Stability Analysis (BSM)

2013 ◽  
Vol 671-674 ◽  
pp. 311-314
Author(s):  
Jing Ma ◽  
Wen Sheng Chen ◽  
Zhen Li
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Limit Equilibrium ◽  
Limit Equilibrium Method ◽  
Slope Stability Analysis ◽  
Spring Model ◽  
Equilibrium Method ◽  
Proposed Model ◽  
Reasonable Result ◽  
Reasonable Model

Many methods have been used for slope stability analysis in recent years. Limit equilibrium method is more popular than others, but its model is very simple. This paper gives a more reasonable model and develops a program by VC++ . A reasonable result is obtained with the proposed model.

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