A Proposed Modeling Method in Finite Element Slope Stability Analysis

Document Type : Research

Authors

1 Assistant Professor, Civil Engineering Faculty, Semnan University, Semnan, Iran.

2 MSc Geotechnical Engineering, University of Hormozgan, Bandar Abbas, Iran.

Abstract

Limit-equilibrium method (LEM) and finite element method (FEM) with strength reduction method (SRM) techniques are the most widely used analysis tools in slope stability assessment. Recently, researchers have reported that both factor of safety (FOS) values and failure surfaces obtained from LEM and FEM are generally in good agreement, except in some particular cases. In this paper, the FOS and the location of critical failure surfaces procured by FE-SRM with various modeling types are compared. Eventually, the outcomes of FE-SRM with high mesh density are assumed as reference. The results of this study demonstrated that in FEM, determining the shear band zone by primary analysis of slopes with coarse meshes and consequently modifying the mesh configuration by imposing the program to locate the nodes in that zone can provide accurate and low-cost results. In addition, the comparison between the results of the proposed method and Bishop’s simplified approach as a limit equilibrium method (LEM) represented good agreement and it was evident that better results can be achieved with less cost and time.

Keywords


1. Zhang J, Zhang L, Tang W (2011) Slope reliability analysis considering site-specific performance information. J Geotech Geoenviron Eng 137(3):227-238. [DOI:10.1061/(ASCE)GT.1943-5606.0000422]
2. Hong H, Roh G (2008) Reliability evaluation of earth slopes. J Geotech Geoenviron Eng 134(12):1700-1705. [DOI:10.1061/(ASCE)1090-0241(2008)134:12(1700)]
3. Taylor DW. 1948. Fundamentals of soil mechanics. New York: John Wiley & Sons, Inc.
4. Bishop AW. 1955. The use of slip circle in stability analysis of slopes. Geotechnique, 5(1):7-17. [DOI:10.1680/geot.1955.5.1.7]
5. Morgenstern N. 1963. Stability charts for earth slopes during rapid drawdown. Geotechnique; 13:121-31. [DOI:10.1680/geot.1963.13.2.121]
6. Griffiths DV, Lane PA. 1999. Slope stability analysis by finite elements. Geotechnique; 49(3):387-403. [DOI:10.1680/geot.1999.49.3.387]
7. Xie M, Esaki T, Zhou G, Mitani Y. 2003. Geographic information systems-based threedimensional critical slope stability analysis ana landslide hazard assessment. J. Geotech. Geoenviron. Eng. ASCE; 129(12):1109-18. [DOI:10.1061/(ASCE)1090-0241(2003)129:12(1109)]
8. Zheng H, Tham LG, Liu DF. 2006. On two definitions of the factor of safety commonly used in the finite element slope stability analysis. Comput. Geotech.; 33: 188-95. [DOI:10.1016/j.compgeo.2006.03.007]
9. Ortiz M, Leroy Y, Needleman A. 1987. A finite element method for localized failure analysis. Comput Meth Appl Mech Eng; 61:189-214. [DOI:10.1016/0045-7825(87)90004-1]
10. Zienkiewicz OC, Taylor RL. 1991. The finite element method. vol. 2. New York: McGraw-Hill.
11. Griffiths DV, Kidger DJ. 1995. Enhanced visualization of failure mechanism in finite elements. Comput Struct; 56(2):265-9. [DOI:10.1016/0045-7949(94)00440-E]
12. Fellenius W. 1936. Calculation of the stability of earth dams. Transactions, 2nd international congress on large dams. Int Commiss Large Dams: 445-9.
13. Nadi, B., Askari, F., Farzaneh, O. (2014). Seismic performance of slopes in pseudo-static designs with different safety factors. Iranian Journal of Science and Technology. Transactions of Civil Engineering, 38(C2), 465.
14. Nadi, B., Askari, F., Farzaneh, O., Fatolahzadeh, S., Mehdizadeh, R. (2019). Reliability Evaluation of Regression Model for Estimating Co-seismic Landslide Displacement. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 1-9. [DOI:10.1007/s40996-019-00247-1]
15. Jiang YS. 1990. Slope analysis using boundary elements. New York: Springer-Verlag Publishers.
16. Matsui T, San KC. 1992. Finite element slope stability analysis by shear strength reduction technique. Soils Foundations; 32(1):59-70. [DOI:10.3208/sandf1972.32.59]
17. Jaritngam S, Chuchom S, Limsakul C, Jaritngam R. 2001. Slope stability analysis using neural networks. In: The 6th mining, metallurgical and petroleum engineering conference on resources exploration and utilization for sustainable environment (REUSE); p. 24-6.
18. Janbu N. 1954. Application of composite slip surface for stability analysis. In: Proceedings of European conference on stability of earth slopes. Stockholm, Sweden, p. 43-9.
19. Janbu N. 1973. Slope stability computations. In: Hirschfield E, Poulos S, editors. Embankment dam engineering (Casagrande memorial volume). New York: John Wiley; p: 47-86.
20. Taylor DW. 1937. Stability of earth slopes. J Boston Soc. Civil Engineers; 24:197-247. Reprinted in contributions to soil mechanics 1925-1940, Boston Society of Civil Engineers; p: 337-86.
21. Spencer EE. 1967. A method of analysis of the stability of embankments assuming parallel interslice forces. Geotechnique; 17:11-26. [DOI:10.1680/geot.1967.17.1.11]
22. Spencer EE. 1973. The thrust line criterion in embankment stability analysis. Geotechnique.; 23:85-100. [DOI:10.1680/geot.1973.23.1.85]
23. Sarma SK. 1973. Stability analysis of embankments and slopes. Geotechnique; 23:423-33. [DOI:10.1680/geot.1973.23.3.423]
24. Sarma SK. 1979. Stability analysis of embankments and slopes. J Geotech. Eng. Div.; 105:1511-24. [DOI:10.1061/AJGEB6.0000903]
25. Duncan JM. 1996. State of the art: limit equilibrium and finite element analysis of slopes. J Geotech Eng; 122:577-96. [DOI:10.1061/(ASCE)0733-9410(1996)122:7(577)]
26. Verruijt A. 1995. Computational geotechnics. Kluwer academic publishers; 204-218. [DOI:10.1007/978-94-017-1112-8_12]
27. Swan CC, Seo Y. 1999. Limit state analysis of earthen slopes using dual continuum/FEM approaches. Int. J Numer. Anal Methods Geomech.; 23:1359-71. https://doi.org/10.1002/(SICI)1096-9853(199910)23:12<1359::AID-NAG39>3.0.CO;2-Y [DOI:10.1002/(SICI)1096-9853(199910)23:123.0.CO;2-Y]
28. Farias MM, Naylor DJ. 1998. Safety analysis using finite element. Comput Geotech; 22(2):165-81. [DOI:10.1016/S0266-352X(98)00005-6]
29. Wang CH. 1999. Salient aspects in numerical analysis of rainfall induced slope instability. In: Proceedings of the international symposium on slope stability engineering, Rotterdam, Holland; p. 435-40.
30. Yamagami T, Ueta Y. 1998. Search for critical slip line in finite element stress fields by dynamic programming. In: Proceedings of 6th international conference on numerical methods in Geomechanics, Rotterdam, Holland; p. 1334-39.
31. Zou JZ, Williams DJ. 1995. Search for critical slip surface based on finite element method. Canad Geotech J; 32(2):233-46. [DOI:10.1139/t95-026]
32. Brinkgreve RBJ, Vermeer PA. 2001. Plaxis 3D tunnel. Tokyo: Balkema Publishers.
33. Dawson EM, Roth WH, Drescher A. 1999. Slope stability analysis by strength reduction. Geotechnique; 49(6):835-40. [DOI:10.1680/geot.1999.49.6.835]
34. Zheng H, S GA, Liu DF. 2009. A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique. Comput. Geotech.; 36: 1-5. [DOI:10.1016/j.compgeo.2008.06.002]
35. Cheng Y.M, Lansivaara T, Wei W B. 2007. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. J. Computers and Geotechnics, 34(3): 137-150 [DOI:10.1016/j.compgeo.2006.10.011]