Probabilistic stability assessment of slopes using high dimensional model representation

Computers and Geotechnics

Volumn 37, Issue 7-8, 2010, Pages 876-884

  Chowdhury, Rajib ^a   Rao, B N ^b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Failure probability; High dimensional model representation; Moving least squares; Response surface; Slope stability

Indexed keywords

ANALYSIS TOOLS; COMPUTATIONAL TOOLS; COMPUTATIONALLY EFFICIENT; EFFICIENT FORMULATION; FAILURE PROBABILITY; HIGH DIMENSIONAL MODEL REPRESENTATION; HIGH-DIMENSIONAL; HIGHER ORDER; INPUT AND OUTPUTS; LIMIT STATE; MODEL VARIABLES; MONTE CARLO SIMULATION; MOVING LEAST SQUARES; NUMERICAL EXAMPLE; PHYSICAL MODEL; QUANTITATIVE MODELS; RESPONSE SURFACE; STABILITY ASSESSMENT; STATISTICAL SIMULATION; SYSTEM RESPONSE;

COMPUTER SIMULATION; MONTE CARLO METHODS; PROBABILITY; PROBABILITY DENSITY FUNCTION; RAILROAD PLANT AND STRUCTURES; SURFACE PROPERTIES; SYSTEM STABILITY;

SLOPE STABILITY;

EMBANKMENT; FAILURE ANALYSIS; MONTE CARLO ANALYSIS; NUMERICAL MODEL; PROBABILITY; QUANTITATIVE ANALYSIS; RESPONSE ANALYSIS; SLOPE STABILITY; STABILITY ANALYSIS;

EID: 78349304229     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2010.07.007     Document Type: Article

References (44)

1. Chowdhury R.N., Tang W.H., Sidi I. Reliability model of progressive slope failure. Géotechnique 1987, 37(4):467-481.
2. Li K.S., White W. Rapid evaluation of the critical slip surface in slope stability problems. Int J Numer Anal Methods Geomech 1987, 11:449-473.
3. Zhang S. Evaluation and updating of slope reliability. PhD thesis, University of Wollongong, New South Wales, Australia; 1990.
4. Oka Y., Wu T.H. System reliability of slope stability. J Geotech Eng Div ASCE 1990, 116(8):1185-1189.
5. Yücemen M.S., Al-Homoud A.S. Probabilistic three dimensional stability analysis of slopes. Struct Safety 1990, 9(1):1-20.
6. Chowdhury R.N., Xu D.W. Rational polynomial technique in slope reliability analysis. J Geotech Eng Div ASCE 1993, 119(12):1910-1928.
7. Chowdhury R.N., Xu D.W. Geotechnical system reliability of slopes. Reliab Eng Syst Safety 1995, 47(3):; 141-151.
8. Chowdhury R.N., Xu D.W. Slope system reliability with general slip surfaces. Soils Found 1994, 34(3):99-105.
9. Xu DW, Chowdhury R. Probabilistic analysis of structured rock/soil slopes-several methods compared. In: Proceedings of the international symposium on slope stability engineering, Japan; 1999. p. 1089-94.
10. Christian J.T., Ladd C.C., Baecher G.B. Reliability applied to slope stability analysis. J Geotech Eng Div ASCE 1994, 120(12):2180-2207.
11. Malkawi A.I.H., Hassan W.F., Abdulla F.A. Uncertainty and reliability analysis applied to slope stability. Struct Safety 2000, 22(2):161-187.
12. Li K.S., Lumb P. Probabilistic design of slope. Can Geotech J 1987, 24(4):520-535.
13. Hassan A.M., Wolff T.F. Search algorithm for minimum reliability index of earth slopes. J Geotech Geoenviron Eng ASCE 1999, 125(4):301-308.
14. Low B.K., Tang W.H. Efficient reliability evaluation using spreadsheet. J Eng Mech ASCE 1997, 123(7):749-752.
15. 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.
16. Bhattacharya G., Jana D., Ojha S., Chakraborty S. Direct search for minimum reliability index of earth slopes. Comput Geotech 2003, 30(6):455-462.
17. Wong F.S. Slope reliability and response surface method. J Geotech Eng ASCE 1985, 111(1):32-53.
18. Ugai K. A method of calculation of global safety factor of slopes by elasto-plastic FEM. Soils Found 1989, 29(2):190-195.
19. Matsui T., San K.C. Finite element slope stability analysis by shear strength reduction technique. Soils Found 1992, 32(1):59-70.
20. Ugai K., Leshchinsky D. Three-dimensional limit equilibrium and finite element analyses: a comparison of results. Soils Found 1995, 35(4):1-7.
21. Zou J.Z., Williams D.J., Xiong W.L. Search for critical slip surfaces based on finite element method. Can Geotech J 1995, 32(2):233-246.
22. Griffiths D.V., Lane P.A. Slope stability analysis by finite elements. Géotechnique 1999, 48(3):387-403.
23. Griffiths D.V., Fenton G.A. Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng ASCE 2004, 130(5):507-518.
24. Xu B., Low B.K. Probabilistic stability analyses of embankments based on finite-element method. J Geotech Geoenviron Eng ASCE 2006, 132(11):1444-1454.
25. Cho S.E. Probabilistic stability analyses of slopes using the ANN-based response surface. Comput Geotech 2009, 36(5):787-797.
26. Rabitz H., Alis O.F., Shorter J., Shim K. Efficient input-output model representations. Comput Phys Commun 1999, 117(1-2):11-20.
27. Rabitz H., Alis O.F. General foundations of high dimensional model representations. J Math Chem 1999, 25(2-3):197-233.
28. Alis O.F., Rabitz H. Efficient implementation of high dimensional model representations. J Math Chem 2001, 29(2):127-142.
29. Li G., Rosenthal C., Rabitz H. High dimensional model representations. J Phys Chem A 2001, 105:7765-7777.
30. Li G., Wang S.W., Rabitz H. High dimensional model representations generated from low dimensional data samples-I. mp-Cut-HDMR. J Math Chem 2001, 30(1):1-30.
31. Wang S.W., Levy H., Li G., Rabitz H. Fully equivalent operational models for atmospheric chemical kinetics within global chemistry-transport models. J Geophys Res 1999, 104(D23):30417-30426.
32. Li G., Wang S.W., Rabitz H., Wang S., Jaffé P. Global uncertainty assessments by high dimensional model representations (HDMR). Chem Eng Sci 2002, 57(21):4445-4460.
33. Sobol I.M. Theorems and examples on high dimensional model representations. Reliab Eng Syst Safety 2003, 79(2):187-193.
34. Chowdhury R., Rao B.N., Prasad A.M. High dimensional model representation for piece wise continuous function approximation. Commun Numer Methods Eng 2008, 24(12):1587-1609.
35. Rackwitz R. Reliability analysis - a review and some perspectives. Struct Safety 2001, 23(4):365-395.
36. Schuëller G.I., Pradlwarter H.W., Koutsourelakis P.S. A critical appraisal of reliability estimation procedures for high dimensions. Probabilist Eng Mech 2004, 19(4):463-474.
37. Sobol I.M. Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exp 1993, 1:407-414.
38. Liu G.R. Mesh free methods: moving beyond the finite element method 2009, CRC Press, Boca Raton.
39. Chowdhury R., Rao B.N., Prasad A.M. High dimensional model representation for structural reliability analysis. Commun Numer Methods Eng 2009, 25(4):301-337.
40. Rao B.N., Chowdhury R. Factorized high dimensional model representation for structural reliability analysis. Eng Comput 2008, 25(8):708-738.
41. Crum D.A. Discussion of search algorithm for minimum reliability index earth slopes. J Geotech Geoenviron Eng ASCE 2001, 127:194-195.
42. Rocscience Inc., Slide 2D limit equilibrium slope stability for soil and rock slopes. Verification Manual; 2006.
43. Wolff TF, Harr ME. Slope design for earth dams. In: Proceedings of the fifth international conference on applications of statistics and probability in soil and structural engineering. Vancouver, BC, Canada; 1987. p. 725-32, 1987.
44. El-Ramly H., Morgenstern N.R., Cruden D.M. Probabilistic stability analysis of a tailings dyke on presheared clay-shale. Can Geotech J 2003, 40(1):192-208.