In the authors opinion this is primarily due to the very limited experience engineers have had with the tool for slope stability analysis, and the limited published. Analysis of a nailed soil slope using limit equilibrium. Slope stability analyses in practical geotechnical engineering are predominantly performed using limit equilibrium methods, despite the inherent shortcoming that the form of the failure mechanism has to be defined a priori. However, mesh distortion of the traditional lagrangian fem. Introduction the stability and phase speed for various finite element formulations of the advection equation was discussed previously by neta and williams 1. Slope stability analysis using finite element techniques. Conclusions for the practical use of the finite element method are also given.
Finite element methods against limit equilibrium approaches for slope stability analysis h. Gradient elastic beams, finite element method, static analysis, stability analysis, exact stiffness matrices. The paper describes several examples of finite element slope stability analysis with comparison against other solution methods, including the influence of a free surface on slope and dam stability. To study the factor of safety, two different approaches applying the socalled c. Finite element methods against limit equilibrium approaches. Stability of structures by finite element methods, volume. In finite element analysis the solution of the problem is the displacement at the nodal points. The paper describes several examples of finite element slope stability analysis with comparison against other solution methods, including the influence of a free surface on slope.
Stability of slope and seepage analysis in earth dam. Geometric effect ihsuan ho 1 abstract many existing factors are found to affect the factor of safety fs for slope stability analysis due to the different analysis methods employed. Probabilistic slope stability analysis of reinforced. Lane, slope stability analysis by finite elements, geotechnique, 493. Slope stability analysis by finite elements open pdf. Toronto, 20012004 this document outlines the capabilities of the finite element method in the analysis of slope stability problems. Prev next slope stability analysis by finite elements authors. The definition of safe factor in slices method is generalized into fem. This paper utilizes finite element limit analysis methods to investigate the stability of slopes of various properties and in nature. Based on the judgment criterion of slope stability,the slopes stability of shiwu thorp was judged. Stability analysis of mountain slope based on finite. The limit equilibrium method is the most common approach for analyzing slope stability in both two and three dimensions. Probabilistic slope stability analysis using the random finite element method rfemreport of findings 5a.
Slope stability analysis under seismic load by vector sum. Apr 23, 2018 one of the modern methods for estimating the factor of safety for the stability of slopes is the strength reduction method. Shear strength reduction finite element technique finite element fe analysis is now widely accepted in routine excavation and support design and analysis. Slope stability analysis using limit equilibrium method lem vs. A slope is studied with limiting equilibrium method and finite element method comparatively. Stability analysis of souktleta earth dam, north algeria. Stability analysis of anchored soil slope based on finite. The values of safety factor, using finite element method analysis, were considered to. One of the modern methods for estimating the factor of safety for the stability of slopes is the strength reduction method. Slope stability analysis based on the finite element method fem is a powerful tool compared with the limit equilibrium lem methods.
The majority of slope stability analyses performed in practice still use. Abstract slope stability is an important factor in a design and operation of an open pit mining, quarrying, civil engineering excavation projects and other geotechnical engineering. Detailed stability analysis of slopes by finite element method. Application of the finite element method to slope stability rocscience inc. The emphasis of the journal will be the development and use of numerical. At present, there are roughly four methods for seismic stability analysis of slopes. This paper presents capabilities of a limit equilibrium methods and a finite element method for analysis of slope stability problems in mining. Detailed stability analysis of slopes by finite element method saha, s. Threedimensional slope stability model using finite element. In recent times, computer codes have utilised the strength reduction method in conjunction with finite element analysis. It is found that the results of the two methods are almost the same.
Abstractslope stability is an important factor in a design and operation of an open pit mining, quarrying, civil engineering excavation projects and other geotechnical engineering. Here, the central difference method, as an explicit time integrator, is exploited. Slope stability analysis is an important area in geotechnical. Pdf in fem based analysis, mesh size element size, number of element and element shape affect the numerical. The aim of this paper is to verify the shear strength reduction technique for the finite element slope stability analysis. This paper utilizes finiteelement limitanalysis methods to investigate the stability of slopes of various properties and in nature. Finite element analysis is a method of solving, usually approximately, certain problems in engineering and science. Using shear strength reduction method for 2d and 3d slope. It is used mainly for problems for which no exact solution, expressible in some mathematical form, is available.
A comparison of results is made for both the software. Nucifora1 1centre for built infrastructure research, school of civil and environmental engineering, the university of technology sydney uts, p. Sensitivity equation must be solved for each dv sensitivity equation uses the same stiffness matrix with the original finite element analysis consider rhs as a pseudoforce vector similar to finite element analysis with multiple load cases thus, solving sensitivity equation is very inexpensive using. Stability of structures by finite element methods, volume 40. Slope stability evaluations by limit equilibrium and finite element methods trondheim, april 2006 thesis submitted to the faculty of engineering science and technology, norwegian university of science and technology in partial fulfilments of the requirements for the degree of philosophiae doctor in civil engineering. It affects the stability of a slope essentially through hydrological and mechanical effects.
Pdf over several decades, the limit equilibrium method has dominated the usage over any other method for slope. Article information, pdf download for analysis of the stability of thawing slopes by random finite. In this paper we investigate the probability of failure of a cohesive slope using both simple and more advanced probabilistic analysis tools. Aided design the university of iowa iowa city, iowa usa th iowa asce geotech. In the present study, the combined finitediscrete element femdem numerical method is proposed as a tool to assess stability of rock slopes subjected to seismic shaking. Element type and size analysis in order to find the suitable element type and size for the slope stability analysis model, based on the geological conditions of endwall slope in an open pit coal mine table 1, an endwall slope model was built as shown in fig. The manuscript describes the constitutive laws of material behaviour such as. Keywords finite elements, semilagrangian, advectiondiffusion, stability, amplification, dis persion, group velocity, bicubic spline. During the stability design of steel structures, columns and beams are the basic elements that must be. Stability analysis of mountain slope based on finite element. Optimisation of strength reduction finite element method. Slope stability analysis by finite elements colorado school of mines. The distribution of principal stress, maximal plastic strain, plastic zone, lateral displacement, vertical settlement and incremental of displacement can be investigated by fem effectively, which make it easy to expediently choose the. Pdf slope stability analysis limit equilibrium or the.
The case history investigated is located in an alpine environment in central europe and is characterized by a very steep original terrain, indicating in situ soil with high strength. As such, it is a numerical rather than an analytical method. Slope stability analysis by finite elements geotechnique. Shear strength reduction method ssr advantages and disadvantages of lem and ssr shear strength reduction outline applications soil models mse wall slope with supports 3d effect on slope stability analysis. Analysis of a nailed soil slope using limit equilibrium and finite element methods s. Nucifora1 1centre for built infrastructure research, school of civil and environmental engineering, the university of technology sydney. Hongj rensselaer polytechnic institute, troy, new york the dynamic responseand stabilityanalysisof beams undergoinglargedeflectionsand rotations is analyzed using the finite element method in time. Slope stability evaluations by limit equilibrium and. An important orginal point in the proposed method is that the slope failure is defined according to the shear strain failure criterion. Description audience impact factor abstracting and indexing editorial board guide for authors p. This paper explores the implementation of a strength reduction finite element method with fortran and python codes in conjunction with the computer. Determination of stable cut and fill slopes assessment of overall stability of retaining walls, including global and compound.
Threedimensional slope stability model using finite. The stability analysis is of a homogeneous slope subjected to a horizontal acceleration factor. Slope stability analysis by the limit equilibrium method. Keywordsfinite elements, semilagrangian, advectiondiffusion, stability, amplification, dis persion, group velocity, bicubic spline. Most slope stability analysis computer programs are based on the limit equilibrium concept for a two or threedimensional model. Finite elements in analysis and design an international journal for innovations in computational methodology and application author information pack table of contents. Finite element limit analysis, on the other hand, provides rigorous upper and lower bounds on the factor of safety see, e. In recent year, the foundations of the stability analysis of slope were provided by the development of finite element and discrete element method. It appears that if a practical threedimensional finite element tool for. It is argued that the finite element method of slope stability analysis is a more. Determining slope stability by rigid finite element method.
Analysis of the stability of thawing slopes by random finite. Slope failure in the finite element model occurs naturally through the zones in which the shear strength of the soil is insufficient to resist the shear stresses. This approach incorporates random field theory and the shear strength reduction ssr method within a monte carlo mc simulation framework. Stability analysis for eulerian and semilagrangian finite. Introduction the stability and phase speed for various finiteelement formulations of the advection equation was discussed previously by neta and williams 1. Application of the finite element method to slope stability. Finite element method fem for stability analysis of slopes. Analysis of a nailed soil slope using limit equilibrium and. Slope stability analysis using finite element techniques colby c. It may also revolutionize routine slope stability analysis. Probabilistic slope stability analysis by finite elements d. Pdf mesh effect on the fem based stability analysis of slope. Factor of safety obtained from finite element limit analysis fela finite element formulations of the upper and lowerbound theorems of plasticity have developed markedly over the last two decades, and it is now possible to apply them to a wide variety of complex engineering problems. Slope stability refers to the condition of inclined soil or rock slopes to withstand or undergo movement.
Slope stability analysis using bayesian markov chain monte carlo. Finite element analysis of the stability of artificial. Slope stability analysis of earth dam is very important to ascertain the stability of the structure. This paper deals with a back analysis of a slope failure. A sound theoretical basis, a generalized approach that is capable of handling field conditions, and simplicity, are some of the requirements of a handy slope stability method.
Slope stability analysis by means of finite element limit. Lanethe majority of slope stability analyses performed in practice still use traditional limit. This paper presents capabilities of a limit equilibrium methods and a finite element method. The finite element method represents a powerful alternative approach for slope stability analysis which is accurate, versatile and requires fewer a priori assumptions, especially, regarding the. Geomechanics research center colorado school of mines.
Albtaineh, n slope stability analysis using 2d and 3d methods. Authors giorgia fulcheri dewolfe, bureau of reclamation, 8668311, denver co 5d. This assumption is not needed when more advanced methods, such as limit analyses or displacementbased finite element methods, are employed for calculating factors of safety. Purchase stability of structures by finite element methods, volume 40 1st edition.
The f s for slope stability analysis is usually defined as the ratio of the ultimate shear strength divided by the mobilized shear stress at incipient failure 27. Slope stability, limit analysis, plasticity, rigid finite element method, linear programming. Under the condition of the plane strain, finite element limit equilibrium method is used to study some key problems of stability analysis for anchored slope. Slope stability analysis with finite element method. Hongj rensselaer polytechnic institute, troy, new york the dynamic responseand stabilityanalysisof beams undergoinglargedeflectionsand rotations is analyzed using the finiteelement method in time. Probabilistic slope stability analysis by finite elements.
Probabilistic slope stability analysis using the random. Slope stability analyses include static and dynamic, analytical or empirical methods to evaluate the stability of earth and rockfill dams, embankments. Conventional methods of slope stability analysis can be divided into three groups. Static and stability stiffness matrices of a gradient elastic flexural bernoullieuler beam finite element are analytically constructed with the aid of the basic and governing equations of equilibrium for that element. Pdf numerical methods in analysis of slope stability.
An obvious drawback with the traditional fembased limit analysis approaches being. Sensitivity analysis of stability problems of steel. Using finite element and discrete element method, the stability analysis of three typical slopes of shiwu thorp of quzhou was carried out. The stability condition of slopes is a subject of study and research in soil mechanics, geotechnical engineering and engineering geology. Introduction the finite element method fem based on limit analysis is a conventional method in analyzing the limit state issues for various researchers. Specifically, a slope with a soft weak material band, a postquake slope, and rock slopes were investigated. Slope stability analysis by the limit equilibrium method books. Slope stability analysis by finite elements article pdf available in geotechnique 517. Fundamentals and methods presents basic principles for the safe design of constructed or natural earth slopes. Nonlinear response and stability analysis of beams using. Simulation accuracy analysis of slope stability based on. Slopestability assessments using finiteelement limit. Despite the ssr finite element techniques many benefits, it has not received widespread adoption among geotechnical engineers for routine slope stability analysis.