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Stability analysis of slopes using the finite element method and limiting equilibrium approach

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Abstract

The limit equilibrium method is commonly used for slope stability analysis, being relatively simple compared with finite element analysis. Both methods were used to analyse homogeneous and inhomogeneous slopes, taking into account the rapid drawdown condition, the undrained clay soils and the presence of tension cracks. The analyses were carried out using PLAXIS 8.0 (finite element method) and SAS-MCT 4.0 (limit equilibrium approach). The safety factor and location of the critical slip surface obtained from the two methods are compared.

Résumé

La méthode de calcul aux équilibres limites est classiquement utilisée pour les analyses de stabilité des pentes, car relativement simple par rapport aux calculs en éléments finis. Les deux méthodes ont été utilisées pour étudier la stabilité de pentes homogènes ou hétérogènes, considérant des situations de vidange rapide, des conditions non drainées pour des sols argileux et la présence de fentes de traction. Les analyses ont été réalisées avec le logiciel PLAXIS 8.0 (méthode des éléments finis) et le logiciel SAS-MCT 4.0 (méthode des équilibres limites). Les facteurs de sécurité et les positions des surfaces de rupture critiques obtenus par les deux méthodes sont comparés.

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References

  • Bishop W (1955) The use of the slip circle in the stability analysis of slopes. Geotechnique 5(1):7–17

    Article  Google Scholar 

  • Brinkgreve R (2002) PLAXIS Version 8, finite element code for soil and rock analyses. A. A. Balkema, Netherlands

    Google Scholar 

  • Clough R, Woodward R (1967) Analysis of embankment stresses and deformations. J Soil Mech Found Div ASCE 4:529–549

    Google Scholar 

  • Duncan J (1996) State of the art: limit equilibrium and finite element analysis of slopes. J Geotech Geoenviron Eng ASCE 122(7):578–584

    Google Scholar 

  • Fellenius W (1936) Calculation of stability of earth dams. Transactions, 2nd congress large dams, Washington, DC, pp 445–462

  • Hughes R (1987) The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  • Husein Malkawi A, Hassan W (2003) SAS-MCT 3.0, stability analysis of slopes using Monte Carlo technique. A Software for 2D and 3D slope stability analysis with dynamic effect, Windows Version

  • Husein Malkawi A, Hassan W, Abdulla F (2000) Uncertainty and reliability analysis applied to slope stability. J Struct Safety 22:161–187

    Article  Google Scholar 

  • Husein Malkawi A, Hassan W, Sarma S (2001a) An efficient search method for locating circular slip surface using Monte Carlo technique. Can Geotech J 38(5):1081–1089

    Article  Google Scholar 

  • Husein Malkawi A, Hassan W, Sarma S (2001b) A global search method for locating general slip surface using Monte Carlo technique. J Geotech Geoenviron Eng ASCE 127(8):688–698

    Article  Google Scholar 

  • Morgenstern R, Price V (1965) The analysis of the stability of general slip surfaces. Geotechnique 15(1):79–93

    Google Scholar 

  • Janbu N (1973) Slope stability computations in embankment-dam engineering. Wiley, New York, pp 47–86

    Google Scholar 

  • Kim J, Salgado R, Yu H (1999) Limit analysis of soil slopes subjected to pore-water pressures. J Geotech Geoenviron Eng ASCE 125(1):49–58

    Article  Google Scholar 

  • Kim J, Salgado R, Lee J (2002) Stability analysis of complex soil slopes using limit analysis. J Geotech Geoenviron Eng ASCE 128(7):546–557

    Article  Google Scholar 

  • Lane P, Griffiths D (2000) Assessment of stability of slopes under drawdown conditions. J Geotech Geoenviron Eng ASCE 126(5):443–450

    Article  Google Scholar 

  • Rocscience Inc. (2001) Application of the finite element method to slope stability, Toronto

  • Spencer E (1967) A method of analysis of the stability of embankments assuming parallel inter-slice forces. Geotechnique 15:11–26

    Google Scholar 

  • Strang G, Fix J (1973) An analysis of the finite element method. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  • Yu H, Salgado R, Sloan W, Kim J (1998) Limit analysis versus equilibrium for slope stability. J Geotech Geoenviron Eng ASCE 124(1):1–11

    Article  Google Scholar 

  • Zaki A (1999) Slope stability analysis overview. University of Toronto

  • Zienkiewicz C, Taylor L (1989) The finite element method, 4th edn, 1. McGraw-Hill, New York

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Correspondence to Nezar Atalla Hammouri.

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Hammouri, N.A., Malkawi, A.I.H. & Yamin, M.M.A. Stability analysis of slopes using the finite element method and limiting equilibrium approach. Bull Eng Geol Environ 67, 471–478 (2008). https://doi.org/10.1007/s10064-008-0156-z

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  • DOI: https://doi.org/10.1007/s10064-008-0156-z

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