Geomechanics and Engineering

  • 제26권2호
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  • Pages.133-146
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  • 2021
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Explicit finite element analysis of slope stability by strength reduction

  • Naeij, Morteza (Department of Civil and Environmental Engineering, Amirkabir University of Technology (Tehran Polytechnic)) ;
  • Ghasemi, Hussein (School of Civil Engineering, College of Engineering, University of Tehran) ;
  • Ghafarian, Danial (Department of Civil and Environmental Engineering, Amirkabir University of Technology (Tehran Polytechnic)) ;
  • Javanmardi, Yousef (Department of Mechanical Engineering, University College London)
  • 투고 : 2020.04.30
  • 심사 : 2021.06.27
  • 발행 : 2021.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

The construction of stable slopes and vertical cuts is an important step in many geotechnical projects. Limit equilibrium methods (LEMs) are well-accepted procedures to compute factors of safety (FoS); however, they fail to provide any information about the distribution of the field variables within the soil mass because they do not include any stress-strain relationship in their formulation. On the other hand, the iterative finite element method (FEM/I) can estimate the field variables, but in the current study, we show that, for steep slopes and vertical cuts, it underestimates the FoS compared to the LEM. To overcome the obstacles that exist in this method, this study proposes a new approach to define the initiation of instability based on an abrupt change in the kinetic energy of the system. We also suggest a procedure to calculate the minimum FoS based on the explicit finite element method (FEM/E). Comparison of the results obtained from the proposed method, LEM, and FEM/I revealed that the FoS computed by the proposed method is in good agreement with the results of the LEM for a wide range of material parameters, geometries and external loading conditions, while no assumption regarding the critical slip surface needs to be made.

키워드

참고문헌

  1. Abusharar, S.W. and Jie H. (2011), "Two-dimensional deep-seated slope stability analysis of embankments over stone columnimproved soft clay", Eng. Geol., 120(1-4), 103-110. https://doi.org/10.1016/j.enggeo.2011.04.002.
  2. Babanouri, N. and Sarfarazi, V. (2018), "Numerical analysis of a complex slope instability: Pseudo-wedge failure", Geomech. Eng., 15(1), 669-676. https://doi.org/10.1016/j.enggeo.2011.04.002.
  3. Bathe, K.J. (2014), Finite Element Procedures, Prentice-Hall, U.S.A.
  4. Brinkgreve, R.B.J., Kumarswamy, S. and Swolfs, W.M. (2016), Plaxis 2014, PLAXIS Bv, The Netherlands.
  5. Cala, M. and Flisiak, J. (2001), Slope Stability Analysis with FLAC and Limit Equilibrium Methods, in FLAC and Numerical Modeling in Geomechanics, CRC Press.
  6. Cheng, Y.M., Lansivaara, T. and Wei, W.B. (2007), "Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods", Comput. Geotech., 34(3), 137-150. https://doi.org/10.1016/j.compgeo.2006.10.011.
  7. Crisfield, M.A. (1997), Non-linear Finite Element Analysis of Solids and Structures: Advanced Topics, Vol. 2, John Wiley & Sons.
  8. Dawson, E.M., Roth, W.H. and Drescher, A. (1999), "Slope stability analysis by strength reduction", Geotechnique, 49(6), 835-840. https://doi.org/10.1680/geot.1999.49.6.835.
  9. Dawson, E., Motamed, F., Nesarajah, S. and Roth, W. (2000), Geotechnical Stability Analysis by Strength Reduction, in Slope Stability, 99-113.
  10. Duncan, J.M. and Wright, S. (1980), "The accuracy of equilibrium methods of slope stability analysis", Eng. Geol., 16 (1-2), 5-17. https://doi.org/10.1016/0013-7952(80)90003-4.
  11. Duncan, J.M. (1996), "State of the Art: Limit equilibrium and finite-element analysis of slopes", J. Geotech. Eng., 122(7), 577-596. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:7(577).
  12. Dyson, A.P. and Tolooiyan, A. (2018), "Optimisation of strength reduction finite element method codes for slope stability analysis", Innov. Infrastruct. Solut., 3(1), 38. https://doi.org/10.1007/s41062-018-0148-1.
  13. Dyson, A.P. and Tolooiyan, A. (2019), "Prediction and classification for finite element slope stability analysis by random field comparison", Comput. Geotech., 109, 117-129. https://doi.org/10.1016/j.compgeo.2019.01.026.
  14. Griffiths, D.V. and Fenton, G.A. (2004), "Probabilistic slope stability analysis by finite elements", J. Geotech. Geoenviron. Eng., 130(5), 507-518. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507).
  15. Griffiths, D.V. and Lane, P.A. (1999), "Slope stability analysis by finite elements", Geotechnique, 49(3), 387-403. https://doi.org/10.1680/geot.1999.49.3.387.
  16. Griffiths, D.V. and Marquez, R.M. (2007), "Three-dimensional slope stability analysis by elasto-plastic finite elements", Geotechnique, 57(6), 537-546. https://doi.org/10.1680/geot.2007.57.6.537.
  17. Hou, C., Zhang, T., Sun, Z., Dias, D. and Li, J. (2019), "Discretization technique for stability analysis of complex slopes", Geomech. Eng., 17(3), 227-236. https://doi.org/10.12989/gae.2019.17.3.227.
  18. Itasca, FLAC. (2000), Fast Lagrangian Analysis of Continua, Itasca Consulting Group Inc., Minneapolis, Minnesota, U.S.A.
  19. Kaveh, A., Hamze-Ziabari, S.M. and Bakhshpoori, T. (2018), "Soft computing-based slope stability assessment: A comparative study", Geomech. Eng., 14(3), 257-269. https://doi.org/10.12989/gae.2018.14.3.257.
  20. Krahn, J. (2004), Stability Modeling with SLOPE/W, in An Engineering Methodology: First Edition, Revision 1, 396.
  21. Li, X. W., Yuan, X. and Li, X.W. (2012), Analysis of Slope Instability Based on Strength Reduction Method, in Applied Mechanics and Materials, Trans Tech Publications.
  22. Liu, L.L., Cheng, Y.M. and Zhang, S.H. (2017), "Conditional random field reliability analysis of a cohesion-frictional slope", Comput. Geotech., 82, 173-186. https://doi.org/10.1016/j.compgeo.2016.10.014.
  23. Liu, Y., Zhang, W., Zhang, L., Zhu, Z., Hu, J. and Wei, H. (2018), "Probabilistic stability analyses of undrained slopes by 3D random fields and finite element methods", Geosci. Front., 9(6), 1657-1664. https://doi.org/10.1016/j.gsf.2017.09.003.
  24. Manzari, M.T. and Mohamed A.N. (2000), "Significance of soil dilatancy in slope stability analysis", J. Geotech. Geoenviron. Eng., 126(1), 75-80. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:1(75).
  25. Matsui, T. and Ka-Ching S. (1992), "Finite element slope stability analysis by shear strength reduction technique", Soils Found., 32(1), 59-70. https://doi.org/10.3208/sandf1972.32.59.
  26. Morgenstern, N.U. and Price, V.E. (1965), "The analysis of the stability of general slip surfaces", Geotechnique, 15(1), 79-93. https://doi.org/10.1680/geot.1965.15.1.79
  27. Naeij, M., Soroush, A. and Javanmardi, Y. (2019), "Numerical investigation of the effects of embedment on the reverse faultfoundation interaction", Comput. Geotech., 113, 103098. https://doi.org/10.1016/j.compgeo.2019.103098.
  28. Naeij, M. and Soroush, A. (2021), "Comprehensive 3D numerical study on interaction between structure and dip-slip faulting", Soil Dyn. Earthq. Eng., 140, 106285. https://doi.org/10.1016/j.soildyn.2020.106285.
  29. Nie, Z., Zhang, Z. and Zheng, H. (2019), "Slope stability analysis using convergent strength reduction method", Eng. Anal. Bound. Elements, 108, 402-410. https://doi.org/10.1016/j.enganabound.2019.09.003.
  30. Nordal, S. (2008), "Can we trust numerical collapse load simulations using nonassociated flow rules", Proceedings of the 12th International Association for Computer Methods and Advances in Geomechanics, Goa, India, October.
  31. Rice, J.R. (1976), "Theoretical and applied mechanics", Proceedings of the 14th IUTAM Congress, North-Holland, Amsterdam, The Netherlands.
  32. Simulia, Dassault Systemes. (2014), Abaqus 6.14 Analysis User's Guide.
  33. Tschuchnigg, F., Schweiger, H.F. and Sloan, S.W. (2015), "Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part I: Numerical studies considering non-associated plasticity", Comput. Geotech., 70, 169-177. https://doi.org/10.1016/j.compgeo.2015.06.018.
  34. Tschuchnigg, F., Schweiger, H.F. and Sloan, S.W. (2015), "Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part II: Back analyses of a case history", Comput. Geotech., 70, 178-189. https://doi.org/10.1016/j.compgeo.2015.07.019
  35. Tu, Y., Zhong, Z., Luo, W., Liu, X. and Wang, S. (2016a), "A modified shear strength reduction finite element method for soil slope under wetting-drying cycles", Geomech. Eng., 11(6), 739-756. https://doi.org/10.12989/gae.2016.11.6.739.
  36. Tu, Y., Liu, X., Zhong, Z. and Li, Y. (2016b), "New criteria for defining slope failure using the strength reduction method", Eng. Geol., 212, 63-71. https://doi.org/10.1016/j.enggeo.2016.08.002.
  37. Xu, B, and Low, B.K. (2006), "Probabilistic stability analyses of embankments based on finite-element method", J. Geotech. Geoenviron. Eng., 132(11), 1444-1454. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:11(1444).
  38. Wei, Y., Zonghong, L., Jiandong, N., Wei, W., Jiaxin, L. and Weidong, S. (2020), "Rapid calculation method for the factor of safety of a uniform slope", Int. J. Geomech., 20(7), 06020012. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001712.
  39. Zhao, L., Xia, P., Xie, R., Li, L., Zhang, Y. and Cheng, X. (2017), "Stability analysis of homogeneous slopes with benches", Geomech. Eng., 13(3), 517-533. https://doi.org/10.12989/gae.2017.13.3.517.
  40. Zhu, H., Griffiths, D.V., Fenton, G.A. and Zhang, L.M. (2015), "Undrained failure mechanisms of slopes in random soil", Eng. Geol., 191, 31-35. https://doi.org/10.1016/j.enggeo.2015.03.009.
  41. Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W. (1975), "Associated and non-associated visco-plasticity and plasticity in soil mechanics", Geotechnique, 25(4), 671-689. https://doi.org/10.1680/geot.1975.25.4.671.