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Limit Equilibrium Conditions and Stability Analysis for Soils

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Abstract

This paper describes recent advances in geotechnical stability analysis that combine limit equilibrium analysis with finite element stress analysis to provide a factor of safety and the failure load. This method, known as the finite element limit equilibrium method, is used to propose and prove the necessary and sufficient conditions required for determining the limit equilibrium state for a slip surface of soil. Based on the limit equilibrium conditions along a slip surface, the method could be used to perform a slope stability analysis and to evaluate failure loading in rigid footings and retaining walls. After a brief outline of the methods, several representative two-dimensional examples are analyzed.

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References

  1. Terzaghi, K.: Theoretical Soil Mechanics. Wiley, New York (1943)

    Book  Google Scholar 

  2. Sokolovskii, V.V., Daniel, A.W.T.: Statics of Granular Media. Pergamon Press, Oxford (1965)

    Google Scholar 

  3. Chen, W.-F.: Limit Analysis and Soil Plasticity. Elsevier, Amsterdam (1975)

    Google Scholar 

  4. Helwany, S.: Applied Soil Mechanics with ABAQUS Applications. Wiley, Hoboken (2007)

    Book  Google Scholar 

  5. Sloan, S.W.: Geotechnical stability analysis. Géotechnique 63(7), 531–572 (2013)

    Article  Google Scholar 

  6. Shao, L., Tang, H., Han, G.: Finite element method for slope stability analysis with its applications. Chin. J. Comput. Mech. 18(1), 81–87 (2001). (in Chinese)

    Google Scholar 

  7. Liu, S., Shao, L., Li, H.: Slope stability analysis using the limit equilibrium method and two finite element methods. Comput. Geotech. 63, 291–298 (2015)

    Article  Google Scholar 

  8. HKS: ABAQUS user’s manual, version 6.9. Providence, Hibbitt, Karlsson and Sorensen, Inc. (2010)

    Google Scholar 

  9. Cheng, Y.M., Lansivaara, T., Wei, W.B.: Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. Comput. Geotech. 34(3), 137–150 (2007)

    Article  Google Scholar 

  10. Krahn, J.: Stability Modeling with SLOPE/W. Geo Slope International Ltd., Canada (2004)

    Google Scholar 

  11. Hansen, B., Christensen, N.H.: Discussion of ‘Theoretical bearing capacity of very shallow footings’. J. Soil Mech. Found. Div. ASCE 95(6), 1568–1572 (1969)

    Google Scholar 

  12. Michalowski, R.L.: An estimate of the influence of soil weight on bearing capacity using limit analysis. Soils Found. 37(4), 57–64 (1997)

    Article  Google Scholar 

  13. Frydman, S., Burd, H.: Numerical studies of bearing-capacity factor N γ . J. Geotech. Geoenviron. Eng. 123(1), 20–29 (1997)

    Article  Google Scholar 

  14. Soubra, A.H., Macuh, B.: Active and passive earth pressure coefficients by a kinematical approach. Proc. ICE-Geotech. Eng. 155(2), 119–131 (2002)

    Article  Google Scholar 

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Acknowledgements

This work is funded by the Doctoral Scientific Research Foundation of Liaoning Province (Grant No. 20170520341) and the autonomous project of the State Key Laboratory of Structural Analysis for Industrial Equipment, China (Grant No. S14208). These supports are gratefully acknowledged.

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Correspondence to Longtan Shao .

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Liu, S., Shao, L. (2018). Limit Equilibrium Conditions and Stability Analysis for Soils. In: Zhou, A., Tao, J., Gu, X., Hu, L. (eds) Proceedings of GeoShanghai 2018 International Conference: Fundamentals of Soil Behaviours. GSIC 2018. Springer, Singapore. https://doi.org/10.1007/978-981-13-0125-4_10

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