Reliability assessment of infinite slope stability using the jointly distributed random variables method

Scientia Iranica

Volumn 19, Issue 3, 2012, Pages 423-429

  Johari, A ^a   Javadi, A A ^b  

^a SHIRAZ UNIVERSITY OF TECHNOLOGY   (Iran)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

First order second moment method; Infinite slope stability; Jointly distributed random variables method; Monte Carlo method; Point estimated method; Reliability

Indexed keywords

DIELECTRIC MATERIALS; DISTRIBUTION FUNCTIONS; METHOD OF MOMENTS; MONTE CARLO METHODS; RANDOM VARIABLES; RELIABILITY; RELIABILITY ANALYSIS; SLOPE PROTECTION; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

FIRST ORDER SECOND MOMENT METHOD; INFINITE SLOPE STABILITIES; INTERNAL FRICTION ANGLE; JOINTLY DISTRIBUTED RANDOM VARIABLES METHODS; POINT ESTIMATED METHODS; PROBABILISTIC TREATMENTS; RELIABILITY ASSESSMENTS; SLOPE STABILITY ANALYSIS;

SLOPE STABILITY;

COHESION; COMPARATIVE STUDY; GEOTECHNICAL ENGINEERING; INFINITE ELEMENT METHOD; MONTE CARLO ANALYSIS; PROBABILITY; SLOPE STABILITY; STOCHASTICITY; UNCERTAINTY ANALYSIS;

EID: 84863663796     PISSN: 10263098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.scient.2012.04.006     Document Type: Article

References (28)

1. Y.M. Cheng, and C.K. Lau Slope Stability Analysis and Stabilization 1st edn 2008 Routledge
2. N. Yagi, T. Yamagami, and J.C. Jiang Slope Stability Engineering vols. 1 and 2 1999 A.A. Balkema
3. US Army Corps of Engineers, Engineering and Design Slope Stability, Manual No. 1110-2-1902, 2003.
4. R.V. Whitman, and W.A. Bailey Use of computers for slope stability analyses J. Soil Mech. Found., Div. 93 4 1967 475 498
5. Morgenstern, N.R. "Managing risk in geotechnical engineering", In 10th Pan American Conf. on Soil Mech. and Found. Eng., vol. 4, pp. 102-126 (1995).
6. J.T Christian, C. Ladd, and G.B. Baecher Reliability applied to slope stability analysis J. Geotech. Eng. Div., ASCE 120 1994 2180 2207
7. D.V. Griffiths, and G.A. Fenton Probabilistic Methods in Geotechnical Engineering 2007 Springer Wien New York
8. R.W. Whitman Organizing and evaluating uncertainty in geotechnical engineering, in uncertainty in geologic environment: from theory to practice, Uncertainty'96 Geotech. Special Pub., ASCE 58 1 1996 1 38
9. G.F. Sowers The human factor in failures Civil Eng. - ASCE 61 3 1991 72 73
10. McMahon, B.K. "Probability of failure and expected volume of failure in high rock slope", In 2nd Australian-New Zealand Conf. on Geomech., Brisbane, 1975, pp. 308-313.
11. D.C. Tobutt, and E.A. Richards The reliability of earth slopes Int. J. Numer. Anal. Methods Geomech 3 1979 323 354
12. Marek, J.N. and Savely, J.P. "Probabilistic analysis on the plane shear failure mode", In 9th US Sym. on the Rock Mech., Nevada, USA, 1978, pp. 40-44.
13. A.H.S. Ang, and W. Tang Probability concepts in engineering planning and design Basic Principles vol. I 1984 John Wiley and Sons New York, USA
14. E. Rosenblueth Point estimates for probability moments Nat. Academy of Sci. 72 10 1975 3812 3814
15. K.S. Li, and W. White Reliability index of slope Reliability and Risk Analysis in Civil Engineering 5th Int. Conf. on Application of Statistic and Probability to Soil and Struct. Eng. vol. 2 1987 Vancouver Canada 755 762
16. HP. Hong, and G. Roh Reliability evaluation of earth slopes J. Geotech. Geoenviron. Eng. 134 12 2008 1700 1705
17. D.V. Griffiths, J. Huang, and G.A. Fenton Probabilistic infinite slope analysis Comput. Geotech. 2011 http://dx.doi.org/10.1016/j.compgeo.03.006
18. Li, K.S. "A point estimate method for calculating the reliability index of slope", In The 6th Australian-New Zealand Conf. on Geomech., Christchurch, 1992, pp. 448-451.
19. S. Thornton Probability calculation for slope stability Comput. Methods Adv. Geomech. 1994 2505 2509
20. N. Metropolis, and S. Ulam The Monte Carlo method J. Amer. Statist. Associat 44 1949 335 341
21. Chen, Q. and Chang, L.Y. "Probabilistic slope stability analysis of a 300 m high embankment dam", In Conf. Proc. Geotech. Risk Assess. Manag., GSP 224 (2011).
22. S.E. Cho Probabilistic assessment of slope stability that considers the spatial variability of soil properties J. Geotech. Geoenviron. Eng. 136 7 2010 975 985
23. Y. Wang, Z. Cao, and S.K. Au Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet Can. Geotech. J. 48 1 2011 162 172
24. D.V. Griffiths, and G.A. Fenton Probabilistic slope stability analysis by finite elements J. Geotech. Geoenviron. Eng. 130 5 2004 507 518
25. D.V. Griffiths, J. Huang, and G.A. Fenton Influence of spatial variability on slope reliability using 2-D random fields J. Geotech. Geoenviron. Eng. 135 10 2009 1367 1378
26. B. Xu, and B.K. Low Probabilistic stability analyses of embankments based on finite-element method J. Geotech. Geoenviron. Eng. 132 11 2006 1444 1454
27. P.G. Hoel, S.C. Port, and C.J. Stone Introduction to Probability Theory 1971 Houghton Mifflin Boston, MA
28. H. Tijms Understanding Probability 2nd Edn 2007 Cambridge University Press