Sarma-based key-group method for rock slope reliability analyses

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 29, Issue 10, 2005, Pages 1019-1043

  Yarahmadi Bafghi, A R ^a   Verdel, Thierry ^a  

^a CRPG CNRS   (France)

Author keywords

Key block method; Key group method; Probabilistic analysis; Rock slope; Sarma analysis

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FRACTURE; FRICTION; GEOMETRY; ITERATIVE METHODS; MATHEMATICAL MODELS; MECHANICAL PROPERTIES; PROBABILITY; RELIABILITY; SLOPE STABILITY;

KEY-BLOCK METHOD; KEY-GROUP METHOD; PROBABILISTIC ANALYSIS; RELIABILITY ANALYSES; ROCK SLOPE; SARMA ANALYSIS; STATIC STABILITY ANALYSES;

ROCK MECHANICS;

NUMERICAL METHOD; ROCK MECHANICS; SLOPE STABILITY;

EID: 23944508363     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.447     Document Type: Article

References (28)

1. Goodman RE, Shi G. Block Theory and its Application to Rock Engineering. Prentice-Hall: New Jersey, 1985.
2. Warburton PM. Vector stability analysis of an arbitrary polyhedral rock block with any number of free faces. International Journal of Rock Mechanics and Mining Sciences 1981; 18(5):415-427.
3. Lin D, Fairhurst C. Static analysis of the stability of three-dimensional blocky systems around excavations in rock. International Journal of Rock Mechanics and Mining Sciences 1988; 25(3):139-148.
4. Mauldon M, Chou KC, Wu Y. Limit analysis of 2-D tunnel key blocks. International Journal of Rock Mechanics and Mining Sciences 1997; 34(3-4):379-397.
5. Yarahmadi Bafghi AR, Verdel T. The key-group method. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27(6):495-511.
6. Yarahmadi Bafghi AR, Verdel T. The probabilistic key-group method. International Journal for Numerical and Analytical Methods in Geomechanics 2004; 28(9):899-917.
7. Sarma SK. Stability analysis of embankments and slopes. Journal of the Geotechnical Engineering Division 1979; 105(12):1511-1524.
8. Fellenius W. Calculation of the stability of earth dams, transactions. 2nd International Congress on Large Dams, International Commission on Large Dams, Washington, DC, 1936; 445-459.
9. Bishop AW. The use of the slip circle in the stability analysis of slopes. Geotechnique 1955; 5(1):7-17.
10. Morgenstern NR, Price VE. The analysis of the stability of general slip surfaces. Geotechnique 1965; 15(1):79-93.
11. Spencer E. A method of analysis of the stability of embankments assuming parallel inter-slice forces. Geotechnique 1967; 17(1):11-26.
12. Janbu N. Slope stability computations. Embankment Dam Engineering - The Casagrande Volume. Wiley: New York, 1973; 47-86.
13. Sultan H, Seed HB. Stability of sloping core earth dams. Journal of the Soil Mechanics and Foundations Division (ASCE) 1967; 93 (SM4):69-83.
14. Sarma SK. Stability analysis of embankments and slopes. Geotechnique 1974; 24(4):45-67.
15. Hoek E. General two-dimensional slope stability analysis. In Analytical Computational Method in Engineering Rock Mechanics, Brown ET (ed.). Allen & Unwin: London, 1987; 95-128.
16. Yamagami T, Jiang JC, Khan AY. Progressive failure analysis based on a method of non-vertical slices. Proceedings of the International Symposium on Slope Stability Engineering (IS-Shikoku '99), Matsuyama, vol. 1, November 1999; 277-284.
17. Giani GP. Rock Slope Stability Analysis. Balkema: Rotterdam-Brookfield, 1992.
18. Itasca Consulting Group, Inc. UDEC (Universal distinct element code), Version 2.0, U.S.A., 1993.
19. Kiliç A, du Mouza J, Arnould M. Analyse de la stabilite des talus sous sollicitation dynamique: application a la mine de lignite d'Afsin-Elbistan (Turquie). Bulletin of Engineering Geology and the Environment 1999; 57:327-336.
20. Kreyszing E. Advanced Engineering Mathematics (6th edn). Wiley: New York, 1988.
21. Hasofer AM, Lind NC. Exact and invariance second moment code format. Journal of Engineering Mechanics (ASCE) 1974; 100:111-121.
22. Rackwitz R, Fiessler B. Structural reliability under combined random load sequences. Computers and Structures 1978; 9:489-494.
23. Ayyub BM, Halder A. Practical structural reliability techniques. Journal of Structural Engineering (ASCE) 1984; 110(8):1707-1727.
24. Low BK, Tang WH. Reliability analysis of reinforced embankments on soft ground. Canadian Geotechnical Journal 1997; 34:672-685.
25. Christian JT, Baecher GB. Probabilistic slope analysis using Jamb's generalized procedure of slices. Computers and Geotechnics 1997; 22(2):121-142.
26. Rackwitz R, Fiessler B. Structural reliability under combined random load sequences. Computers and Structures 1978; 9:489-494.
27. Wolfram S. The Mathematica Book (4th edn). Wolfram Media-Cambridge University Press: Cambridge, 1999.
28. Priest SD, Brown ET. Probabilistic stability analysis of variable rock slopes. Transactions of the Institution of Mining and Metallurgy, Section A - Mining Industry 1983; 99:1-12.