Finite element limit analysis, on the other hand, provides rigorous upper and lower bounds on the factor of safety see, e. Pdf mesh effect on the fem based stability analysis of slope. Finite element analysis of the stability of artificial. This paper deals with a back analysis of a slope failure. Probabilistic slope stability analysis by finite elements d. Using finite element and discrete element method, the stability analysis of three typical slopes of shiwu thorp of quzhou was carried out. Stability analysis of mountain slope based on finite element. Nonlinear response and stability analysis of beams using. Analysis of a nailed soil slope using limit equilibrium. Probabilistic slope stability analysis using the random finite element method rfemreport of findings 5a. Introduction the stability and phase speed for various finite element formulations of the advection equation was discussed previously by neta and williams 1. Sep 03, 2017 this video will help the user understand the workflow in gts nx and plaxis for a simple 2d slope stability analysis.
It is found that the results of the two methods are almost the same. Specifically, a slope with a soft weak material band, a postquake slope, and rock slopes were investigated. 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. Stability analysis for eulerian and semilagrangian finite. Nonlinear response and stability analysis of beams using finite elements in time o. Combined finitediscrete element analysis of rock slope. This paper presents capabilities of a limit equilibrium methods and a finite element method for analysis of slope stability problems in mining. The stability condition of slopes is a subject of study and research in soil mechanics, geotechnical engineering and engineering geology. Gradient elastic beams, finite element method, static analysis, stability analysis, exact stiffness matrices. This approach incorporates random field theory and the shear strength reduction ssr method within a monte carlo mc simulation framework. Finite element methods against limit equilibrium approaches. Determination of stable cut and fill slopes assessment of overall stability of retaining walls, including global and compound.
It may also revolutionize routine slope stability analysis. Slope stability analysis by finite elements article pdf available in geotechnique 517. Threedimensional slope stability model using finite. It is used mainly for problems for which no exact solution, expressible in some mathematical form, is available. 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. Conventional methods of slope stability analysis can be divided into three groups.
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 analysis by finite elements colorado school of mines. 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. During the stability design of steel structures, columns and beams are the basic elements that must be. Slope stability analysis with finite element method. An obvious drawback with the traditional fembased limit analysis approaches being. 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. Slope stability analysis by the limit equilibrium method books. 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. Slope stability evaluations by limit equilibrium and. Slope stability analysis by finite elements open pdf. Stochastic finite element slope stability analysis a thesis submitted to the university of manchester for the degree of doctor of philosophy in the faculty of engineering and physical sciences 2011 siamak bakhtiari school of mechanical, aerospace and civil engineering. The aim of this paper is to verify the shear strength reduction technique for the finite element slope stability analysis. 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.
Finite element method fem for stability analysis of slopes. Despite the ssr finite element techniques many benefits, it has not received widespread adoption among geotechnical engineers for routine slope stability analysis. Probabilistic slope stability analysis of reinforced. An important orginal point in the proposed method is that the slope failure is defined according to the shear strain failure criterion. Aided design the university of iowa iowa city, iowa usa th iowa asce geotech. Application of the finite element method to slope stability. Finite element analysis is a method of solving, usually approximately, certain problems in engineering and science. Slope stability analysis using limit equilibrium method lem vs.
Optimisation of strength reduction finite element method. Probabilistic slope stability analysis by finite elements. Shear strength reduction finite element technique finite element fe analysis is now widely accepted in routine excavation and support design and analysis. 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. However, mesh distortion of the traditional lagrangian fem. This video will help the user understand the workflow in gts nx and plaxis for a simple 2d slope stability analysis. 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. To study the factor of safety, two different approaches applying the socalled c. Nucifora1 1centre for built infrastructure research, school of civil and environmental engineering, the university of technology sydney uts, p.
It is argued that the finite element method of slope stability analysis is a more. The limit equilibrium method is the most common approach for analyzing slope stability in both two and three dimensions. Authors giorgia fulcheri dewolfe, bureau of reclamation, 8668311, denver co 5d. Simulation accuracy analysis of slope stability based on. Lane, slope stability analysis by finite elements, geotechnique, 493. This paper presents capabilities of a limit equilibrium methods and a finite element method. Stability analysis of anchored soil slope based on finite. Application of the finite element method to slope stability rocscience inc. Pdf slope stability analysis limit equilibrium or the. Slope stability analysis by means of finite element limit.
Stability analysis of mountain slope based on finite. 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. Detailed stability analysis of slopes by finite element method. Here, the central difference method, as an explicit time integrator, is exploited. Purchase stability of structures by finite element methods, volume 40 1st edition.
Most slope stability analysis computer programs are based on the limit equilibrium concept for a two or threedimensional model. 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. Analysis of the stability of thawing slopes by random finite. Article information, pdf download for analysis of the stability of thawing slopes by random finite. Stability of structures by finite element methods, volume 40.
The manuscript describes the constitutive laws of material behaviour such as. 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. The definition of safe factor in slices method is generalized into fem. As such, it is a numerical rather than an analytical method. Pdf in fem based analysis, mesh size element size, number of element and element shape affect the numerical. Probabilistic slope stability analysis using the random. In finite element analysis the solution of the problem is the displacement at the nodal points. 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. Stability of slope and seepage analysis in earth dam. Keywords finite elements, semilagrangian, advectiondiffusion, stability, amplification, dis persion, group velocity, bicubic spline.
Geomechanics research center colorado school of mines. Based on the judgment criterion of slope stability,the. Slope stability analysis is an important area in geotechnical. Slope stability analysis using finite element techniques colby c. Determining slope stability by rigid finite element method. Nucifora1 1centre for built infrastructure research, school of civil and environmental engineering, the university of technology sydney.
Description audience impact factor abstracting and indexing editorial board guide for authors p. 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. The values of safety factor, using finite element method analysis, were considered to. 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. Keywordsfinite elements, semilagrangian, advectiondiffusion, stability, amplification, dis persion, group velocity, bicubic spline. Slope stability analysis of earth dam is very important to ascertain the stability of the structure. Conclusions for the practical use of the finite element method are also given.
In recent times, computer codes have utilised the strength reduction method in conjunction with finite element analysis. Finite elements in analysis and design an international journal for innovations in computational methodology and application author information pack table of contents. Slope stability analyses include static and dynamic, analytical or empirical methods to evaluate the stability of earth and rockfill dams, embankments. The stability analysis is of a homogeneous slope subjected to a horizontal acceleration factor.
This paper explores the implementation of a strength reduction finite element method with fortran and python codes in conjunction with the computer. Analysis of a nailed soil slope using limit equilibrium and. Lanethe majority of slope stability analyses performed in practice still use traditional limit. Finite element methods against limit equilibrium approaches for slope stability analysis h. This paper utilizes finite element limit analysis methods to investigate the stability of slopes of various properties and in nature. It affects the stability of a slope essentially through hydrological and mechanical effects. The emphasis of the journal will be the development and use of numerical. One of the modern methods for estimating the factor of safety for the stability of slopes is the strength reduction method. The majority of slope stability analyses performed in practice still use. Slope stability analysis by the limit equilibrium method.
Prev next slope stability analysis by finite elements authors. 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. 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. Fundamentals and methods presents basic principles for the safe design of constructed or natural earth slopes. Threedimensional slope stability model using finite element. In recent year, the foundations of the stability analysis of slope were provided by the development of finite element and discrete element method.
Slope stability analysis based on the finite element method fem is a powerful tool compared with the limit equilibrium lem methods. Slopestability assessments using finiteelement limit. Detailed stability analysis of slopes by finite element method saha, s. Slope stability analysis under seismic load by vector sum.
Based on the judgment criterion of slope stability,the slopes stability of shiwu thorp was judged. 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. 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. Slope stability, limit analysis, plasticity, rigid finite element method, linear programming. Introduction the finite element method fem based on limit analysis is a conventional method in analyzing the limit state issues for various researchers.
A slope is studied with limiting equilibrium method and finite element method comparatively. This paper utilizes finiteelement limitanalysis methods to investigate the stability of slopes of various properties and in nature. In this paper we investigate the probability of failure of a cohesive slope using both simple and more advanced probabilistic analysis tools. 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. 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. At present, there are roughly four methods for seismic stability analysis of slopes. Introduction the stability and phase speed for various finiteelement formulations of the advection equation was discussed previously by neta and williams 1. Apr 23, 2018 one of the modern methods for estimating the factor of safety for the stability of slopes is the strength reduction method. A comparison of results is made for both the software. Sensitivity analysis of stability problems of steel. Pdf numerical methods in analysis of slope stability. Albtaineh, n slope stability analysis using 2d and 3d methods. 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 using finite element techniques.
It appears that if a practical threedimensional finite element tool for. Stability analysis of souktleta earth dam, north algeria. Slope stability analysis using bayesian markov chain monte carlo. Pdf over several decades, the limit equilibrium method has dominated the usage over any other method for slope. Hongj rensselaer polytechnic institute, troy, new york the dynamic responseand stabilityanalysisof beams undergoinglargedeflectionsand rotations is analyzed using the finiteelement method in time. Toronto, 20012004 this document outlines the capabilities of the finite element method in the analysis of slope stability problems. Analysis of a nailed soil slope using limit equilibrium and finite element methods s. Slope stability refers to the condition of inclined soil or rock slopes to withstand or undergo movement. Using shear strength reduction method for 2d and 3d slope. Stability of structures by finite element methods, volume. 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.
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