Abstract
One of the modern methods for estimating the factor of safety for the stability of slopes is the strength reduction method. In recent times, computer codes have utilised the strength reduction method in conjunction with finite element analysis. This paper explores the implementation of a strength reduction finite element method with FORTRAN and Python codes in conjunction with the computer-aided engineering package Abaqus, incorporating a modified strength reduction definition, allowing for a refinement of the factor of safety search space. The computational efficiency of the modified method is compared with the traditional technique, for both 2D and 3D analysis. The algorithm results are compared for contrasting FEM element types and geometries and benchmarked against proprietary geotechnical finite element solvers.
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Tschuchnigg F, Schweiger HF, Sloan SW (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(Supplement C):178–189
Bishop AW (2008) The use of the slip circle in the stability analysis of slopes. The essence of geotechnical engineering: 60 years of géotechnique. Thomas Telford Publishing, London, pp 223–233
Duncan JM (1996) State of the art: limit equilibrium and finite-element analysis of slopes. J Geotech Eng 122:577
Zienkiewicz OC, Humpheson C, Lewis RW (1975) Associated and non-associated visco-plasticity and plasticity in soil mechanics. Geotechnique 25:671–689
Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Géotechnique 49(3):387–403
Li XW, Yuan X, Li XW (2012) Analysis of slope instability based on strength reduction method. Applied mechanics and materials. Trans Tech Publ, Princeton, pp 1238–1242
Su K, Li Y (2012) Discussion of SRFEM with Mohr–Coulomb plasticity model in slope stability analysis. 2012 Asia-Pacific Power and Energy Engineering Conference. pp 1–4
Ugai K, Leshchinsky D (1995) Three-dimensional limit equilibrium and finite element analyses: a comparison of results. Soils Found 35(4):1–7
Zheng H, Tham LG, Liu D (2006) On two definitions of the factor of safety commonly used in the finite element slope stability analysis. Comput Geotech 33(3):188–195
Cheng Y, Lansivaara T, Wei W (2007) Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods. Comput Geotech 34(3):137–150
Zheng Y, Tang X, Zhao S, Deng C, Lei W (2009) Strength reduction and step-loading finite element approaches in geotechnical engineering. J Rock Mech Geotech Eng 1(1):21–30
Wei WB, Cheng YM (2009) Strength reduction analysis for slope reinforced with one row of piles. Comput Geotech 36(7):1176–1185
Krahn J (2003) The 2001 R.M. Hardy Lecture: the limits of limit equilibrium analyses. Can Geotech J 40(3):643–660
Schneider-Muntau B, Medicus G, Fellin W (2017) Strength reduction method in Barodesy. Comput Geotech 95:57–67
Hammouri NA, Malkawi AIH, Yamin MMA (2008) Stability analysis of slopes using the finite element method and limiting equilibrium approach. Bull Eng Geol Environ 67(4):471
Dawson E, Roth W, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49(6):835–840
Lane PA, Griffiths DV (2000) Assessment of stability of slopes under drawdown conditions. J Geotech Geoenviron Eng 126(5):443
Xue H, Dang F, Yin X, Ding W, Yang C (2016) Nonproportional correlative reduction finite element method for slope strength parameters. Math Probl Eng. https://doi.org/10.1155/2016/2725354
Zheng H, Sun G, Liu D (2009) A practical procedure for searching critical slip surfaces of slopes based on the strength reduction technique. Comput Geotech 36(1):1–5
Waterman D (2016) Plaxis 2D: Plaxis B.V. Delft University, Delft
Matsui T, San K-C (1992) Finite element slope stability analysis by shear strength reduction technique. Soils Found 32(1):59–70
Smith M. ABAQUS/Standard User’s Manual, Version 7.5: Simulia, 2017
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Financial support for this research has been provided by Earth Resources Regulation of the Victorian State Government Department of Economic Development, Jobs, Transport and Resources. The first author is funded by the Australian Government Research Training Program (RTP) and the GHERG scholarship programme.
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Dyson, A.P., Tolooiyan, A. Optimisation of strength reduction finite element method codes for slope stability analysis. Innov. Infrastruct. Solut. 3, 38 (2018). https://doi.org/10.1007/s41062-018-0148-1
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DOI: https://doi.org/10.1007/s41062-018-0148-1