Efficient system reliability analysis illustrated for a retaining wall and a soil slope

Computers and Geotechnics

Volumn 38, Issue 2, 2011, Pages 196-204

  Low, B K ^a   Zhang, J ^b   Tang, Wilson H ^c  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b Tongji University   (China)

^c HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Multiple failure modes; Probability; Retaining wall; Slope; System reliability

Indexed keywords

EFFICIENT SYSTEMS; EXCEL SPREADSHEETS; FAILURE PROBABILITY; FAILURE PROBABILITY ESTIMATION; FIRST ORDER RELIABILITY METHODS; GRAVITY RETAINING WALLS; LIMIT STATE; MULTIPLE FAILURE MODES; NATURAL EXTENSION; PROGRAM CODE; RELIABILITY INDEX; SLOPE; SOIL SLOPES; SYSTEM FAILURE PROBABILITY; SYSTEM RELIABILITY;

FAILURE MODES; PROBABILITY; RELIABILITY ANALYSIS; RELIABILITY THEORY; RETAINING WALLS; ROBUSTNESS (CONTROL SYSTEMS); SPREADSHEETS;

QUALITY ASSURANCE;

FAILURE ANALYSIS; NUMERICAL METHOD; RELIABILITY ANALYSIS; RETAINING WALL; SLOPE STABILITY; SOFTWARE;

EID: 79551519603     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2010.11.005     Document Type: Article

References (39)

1. Ang H.S., Tang W.H. Probability concepts in engineering planning and design. Decision, risk, and reliability 1984, vol. 2. John Wiley, New York.
2. Melchers R.E. Structural reliability analysis and prediction 1999, John Wiley, New York. 2nd ed.
3. Zhao G.F., Jin W.L., Gong J.X. Structural reliability theory 2000, China Architecture & Beijing Building Press, [in Chinese].
4. Ramachandran K. System reliability bounds: a new look with improvements. Civ Eng Environ Syst 2004, 21(4):265-278.
5. Ditlevsen O, Madsen HO. Structural reliability methods. Internet edition 2.2.5; 2005. http://www.mek.dtu.dk/staff/od/books.htm.
6. Tung Y.K., Yen B.C., Melching C.S. Hydrosystems engineering reliability assessment and risk analysis 2006, McGraw-Hill, New York.
7. Cornell C.A. Bounds on the reliability of structural systems. J Struct Div, ASCE 1966, 93(1):171-200.
8. Ditlevsen O. Narrow reliability bounds for structural systems. J Struct Mech 1979, 7(4):453-472.
9. Moses F. System reliability developments in structural engineering. Struct Saf 1982, 1(1):3-13.
10. Zhang Y.C. High-order reliability bounds for series systems and application to structural systems. Comput Struct 1993, 46(2):381-386.
11. Song J., Der Kiureghian A. Bounds on systems reliability by linear programming. J Eng Mech 2003, 129(6):627-636.
12. Zhao Y.G., Zhong W.Q., Ang H.S. Estimating joint failure probability of series structural systems. J Eng Mech 2007, 133(5):588-596.
13. Song J., Kang W.H. System reliability and sensitivity under statistical dependence by matrix-based system reliability method. Struct Saf 2009, 31(2):148-156.
14. Low B.K., Tang W.H. Efficient spreadsheet algorithm for first-order reliability method. J Eng Mech ASCE 2007, 133(12):1378-1387.
15. Low B.K., Tang W.H. Reliability analysis using object-oriented constrained optimization. Struct Saf 2004, 26(1):69-89.
16. Der Kiureghian A., Liu P.L. Structural reliability under incomplete probability information. J Eng Mech ASCE 1986, 112(1):85-104.
17. Anton H., Rorres C. Elementary linear algebra: applications version 2005, Wiley, New York. 9th ed.
18. Madsen H.O., Krenk S., Lind N.C. Methods of structural safety 1986, Prentice Hall, Englewood Cliffs, New Jersey.
19. Haldar A., Mahadevan S. Probability, reliability and statistical methods in engineering design 1999, John Wiley, New York.
20. Kounias E.G. Bounds for the probability of a union with applications. Ann Math Stat 1968, 39(6):2154-2158.
21. Hunter D. An upper bound for the probability of a union. J Appl Probab 1976, 3(3):597-603.
22. Rosenblueth E. Point estimates for probability moments. Proc Natl Acad Sci 1975, 72(10):3812-3814.
23. Hasofer A.M., Lind N.C. Exact and invariant second-moment code format. J Eng Mech ASCE 1974, 100(1):111-121.
24. Rackwitz R., Fiessler B. Structural reliability under combined random load sequences. Comput Struct 1978, 9:484-494.
25. Low B.K. Reliability-based design applied to retaining walls. Geotechnique 2005, 55(1):63-75.
26. Low BK. Practical probabilistic slope stability analysis. In: Proceedings, soil and rock America, vol. 2, MIT, Massachusetts, June 2003, Verlag Glückauf GmbH Essen; 2003. p. 2777-84.
27. Wu T.H., Kraft L.M. Safety analysis of slopes. J Soil Mech Found Div ASCE 1970, 96(2):609-630.
28. Vanmarcke E.H. Reliability of earth slopes. J Geotech Eng ASCE 1977, 103(11):1247-1266.
29. Vanmarcke E.H. Probabilistic stability analysis of earth slopes. Eng Geol 1980, 16:29-50.
30. Chen Z.Y., Morgenstern N.R. Extensions to the generalized method of slices for stability analysis. Can Geotech J 1983, 20(1):104-119.
31. Li K.S., Lumb P. Probabilistic design of slopes. Can Geotech J 1987, 24(4):520-535.
32. Christian J.T., Ladd C.C., Baecher G.B. Reliability applied to slope stability analysis. J Geotech Eng ASCE 1994, 120(12):2180-2207.
33. Morgenstern N.R. Toward landslide risk assessment in practice. Proceedings of the international workshop on landslide risk assessment 1997, vol. 15-24. Balkema, Rotterdam.
34. Low B.K., Tang W.H. Probabilistic slope analysis using Janbu's generalized procedure of slices. Comput Geotech 1997, vol. 21. Elsevier, U.K., (2): 121-142.
35. Low B.K., Gilbert R.B., Wright S.G. Slope reliability analysis using generalized method of slices. J Geotech Geoenviron Eng ASCE 1998, 124(4):350-362.
36. Au S.K., Beck J.L. Estimation of small failure probabilities in high dimensions by subset simulation. Probab Eng Mech 2001, 16(4):263-277.
37. Nadim F, Einstein HH, Roberds W. State of the art paper 3 - probabilistic stability analysis for individual slopes in soil and rock. In: International conference on landslide risk management, Vancouver, Canada; 31 May-2 June, 2005. p. 63-98.
38. Low B.K., Lacasse S., Nadim F. Slope reliability analysis accounting for spatial variation. Georisk: assessment and management of risk for engineered systems and geohazards 2007, vol. 1, no. 4. Taylor & Francis, London, p. 177-89.
39. Ching J.Y., Phoon K.K., Hu Y.G. Efficient evaluation of reliability for slopes with circular slip surfaces using importance sampling. J Geotech Geoenviron Eng, ASCE 2009, 135(6):768-777.