References
- Ang, A.H.-S. and Tang, W.H. (1984), Probability Concepts in Engineering Design, Vol. 2: Decision, Risk and Reliability, Wiley, New York, USA.
- Baecher, G.B. and Christian, J.T. (2003), Reliability and Statistics in Geotechnical Engineering, Wiley, Chichester, U.K.
- Bhattacharya, G., Jana, D., Ojha, S. and Chakraborty, S. (2003), "Direct search for minimum reliability index of earth slopes", Comput. Geotech., 30(6), 455-462. https://doi.org/10.1016/S0266-352X(03)00059-4
- Bucher, C.G. and Bourgund, U. (1990), "A fast and efficient response surface approach for structural reliability problems", Struct. Safety, 7(1), 57-66. https://doi.org/10.1016/0167-4730(90)90012-E
- Cheng, Y.M. and Zhu, L.J. (2005), "Unified formulation for two dimensional slope stability analysis and limitations in factor of safety determination", Soil. Found., 44(6), 121-128.
- Cho, S.E. (2009), "Probabilistic stability analyses of slopes using the ANN-based response surface", Comput. Geotech., 36(5), 787-797. https://doi.org/10.1016/j.compgeo.2009.01.003
- 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
- Elhewy, A.H., Mesbahi, E. and Pu, Y. (2006), "Reliability analysis of structures using neural network method", Probabilist. Eng. Mech., 21(1), 44-53. https://doi.org/10.1016/j.probengmech.2005.07.002
- Goh, A.T.C. and Kulhawy, F.H. (2003), "Neural network approach to model the limit state surface for reliability analysis", Can. Geotech. J., 40(6), 1235-1244. https://doi.org/10.1139/t03-056
- Griffiths, D.V. and Fenton, G.A. (2004), "Probabilistic slope stability analysis by finite elements", J. Geotech. Geoenviron. Eng., ASCE, 130(5), 507-518. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
- 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
- Haldar, A. and Mahadevan, S. (2000), Probability, Reliability and Statistical Methods in Engineering Design, Wiley, New York, USA.
- Hasofer, A.M. and Lind, N.C. (1974), "Exact and invariant second moment code format", J. Eng. Mech., ASCE, 100(EM1), 111-121.
- Hassan, A.M. and Wolff, T.F. (1999), "Search algorithm for minimum reliability index of earth slopes", J. Geotech. Geoenviron. Eng., ASCE, 125(4), 301-308. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:4(301)
- Ji, J. (2013), "Reliability analysis of earth slopes accounting for spatial variation", Ph.D. Dissertation, Nanyang Technological University, Singapore.
- Ji, J. and Low, B.K. (2012), "Stratified response surfaces for system probabilistic evaluation of slopes", J. Geotech. Geoenviron. Eng., ASCE, 138(11), 1398-1406. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000711
- Ji, J., Liao, H.J. and Low, B.K. (2012), "Modeling 2-D spatial variation in slope reliability analysis using interpolated autocorrelations", Comput. Geotech., 40, 135-146. https://doi.org/10.1016/j.compgeo.2011.11.002
- Ji, J., Liao, H.J. and Low, B.K. (2013), "Probabilistic Strength-Reduction Stability Analysis of Slopes Accounting for 2-D Spatial Variation", Key Eng. Mat., 535-536, 582-585. https://doi.org/10.4028/www.scientific.net/KEM.535-536.582
- Jiang, S.H., Li, D.Q., Zhang, L.M. and Zhou, C.B. (2014a), "Slope reliability analysis considering spatial variable shear strength parameters using a non-intrusive stochastic finite element method", Eng. Geol., 168, 120-168. https://doi.org/10.1016/j.enggeo.2013.11.006
- Jiang, S.H., Li, D.Q., Zhou, C.B. and Zhang, L.M. (2014b), "Capabilities of stochastic response surface method and response surface method in reliability analysis", Struct. Eng. Mech., Int. J., 49(1), 111-128. https://doi.org/10.12989/sem.2014.49.1.111
- Li, D., Chen, Y., Lu, W. and Zhou, C. (2011), "Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables", Comput. Geotech., 38(1), 58-68. https://doi.org/10.1016/j.compgeo.2010.10.006
- Low, B.K. and Tang, W.H. (2004), "Reliability analysis using object-oriented constrained optimization", Struct. Safety, 26(1), 69-89. https://doi.org/10.1016/S0167-4730(03)00023-7
- Low, B.K. and Tang, W.H. (2007), "Efficient spreadsheet algorithm for first-order reliability method", J. Eng. Mech., 133(12), 1378-1387. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:12(1378)
- Matsui, T. and San, K.-C. (1992), "Finite element slope stability analysis by shear strength reduction technique", Soil. Found., 32(1), 59-70. https://doi.org/10.3208/sandf1972.32.59
- Naylor, D.J. (1982), "Finite elements and slope stability", Numer. Meth. Geomech., 92, 229-244.
- Rackwitz, R. (1976), "Practical probabilistic approach to design", Comite European du Beton, Paris, France.
- Rackwitz, R. and Fiessler, B. (1978), "Structural reliability under combined random load sequences", Comput. Struct., 9(5), 484-494.
- Rajashekhar, M.R. and Ellingwood, B.R. (1993), "A new look at the response surface approach for reliability analysis", Struct. Safety, 12(3), 205-220. https://doi.org/10.1016/0167-4730(93)90003-J
- Ugai, K. (1989), "A method of calculation of total factor of safety of slopes by elasto-plastic FEM", Soil. Found., 29(2), 190-195. https://doi.org/10.3208/sandf1972.29.2_190
- Wolff, T.F. (1985), "Analysis and design of embankment dam slopes: A probabilistic approach", Ph.D. Dissertation, Purdue University, West Lafayette, IN, United States.
- 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)
- Zheng, Y.R. and Zhao, S.Y. (2004), "Application of strength reduction FEM in soil and rock slope", Chinese J. Rock Mech. Eng., 23(19), 3381-3388.
- Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W. (1975). "Associated and non-associated viscoplasticity and plasticity in soil mechanics", Geotechnique, 25(4), 671-689. https://doi.org/10.1680/geot.1975.25.4.671
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