Reliability analysis of circular tunnel under hydrostatic stress field

Computers and Geotechnics

Volumn 37, Issue 1-2, 2010, Pages 50-58

  Li, Hang Zhou ^a,b   Low, Bak Kong ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Correlation; Probability; Reliability; Reliability based design; Tunnel

Indexed keywords

CIRCULAR TUNNELS; CORRELATION; FIRST ORDER RELIABILITY METHODS; FRICTION ANGLES; HYDROSTATIC STRESS FIELDS; MONTE CARLO SIMULATION; NEGATIVE CORRELATION; NON-NORMAL DISTRIBUTION; RELIABILITY BASED DESIGN; RELIABILITY INDEX; STRENGTH PARAMETERS; TUNNEL SUPPORT;

COMPUTER SIMULATION; HYDRAULICS; HYDRODYNAMICS; MONTE CARLO METHODS; MOORING; NORMAL DISTRIBUTION; PROBABILITY DENSITY FUNCTION; PUMPS; QUALITY ASSURANCE; RANDOM PROCESSES; RANDOM VARIABLES; STEEL STRUCTURES; STRESSES; TUNNELS; WIND TUNNELS;

RELIABILITY ANALYSIS;

COHESION; COMPUTER SIMULATION; CORRELATION; FRICTION; HYDROSTATICS; MONTE CARLO ANALYSIS; PROBABILITY DENSITY FUNCTION; RELIABILITY ANALYSIS; STRENGTH; STRESS FIELD; SUPPORT STRUCTURE; TUNNEL DESIGN;

EID: 70649088924     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2009.07.005     Document Type: Article

References (41)

1. Brown E.T., Bray J.W., Ladanyi B., and Hoek E. Ground response curves for rock tunnels. J Geotech Eng ASCE 109 1 (1983) 15-39
2. Duncan Fama M.E. Numerical modelling of yield zones in weak rocks. In: Hudson J.A. (Ed). Comprehensive rock engineering vol. 2 (1993), Pergamon, Oxford 49-75
3. Wang Y. Ground response of circular tunnel in poorly consolidated rock. J Geotech Eng ASCE 122 9 (1996) 703-708
4. Sharan S.K. Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media. Int J Rock Mech Min Sci 40 (2003) 817-824
5. Sharan S.K. Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock. Int J Rock Mech Min Sci 45 (2008) 78-85
6. Carranza-Torres C., and Fairhurst C. The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion. Int J Rock Mech Min Sci 36 (1999) 777-809
7. Park K.H., Tontavanich B., and Lee J.G. A simple procedure for ground response curve of circular tunnel in elastic-strain softening rock masses. Tunn Undergr Space Technol 23 (2008) 151-159
8. Ogawa T., and Lo K.Y. Effects of dilatancy and yield criteria on displacements around tunnels. Can Geotech J 24 (1987) 100-113
9. Hoek E. Reliability of Hoek-Brown estimates of rock mass properties and their impact on design. Int J Rock Mech Min Sci 35 1 (1998) 63-68
10. Hoek E. Practical Rock Engineering; 2007. .
11. Hoek E, Marinos P. Predicting tunnel squeezing problems in weak heterogeneous rock masses. Tunnels and tunnelling international; 2000. Part 1 - November 2000, Part 2 - December 2000.
12. Hasofer A.M., and Lind N.C. Exact and invariant second moment code format. J Eng Mech 100 1 (1974) 111-121
13. Ditlevsen O. Uncertainty modeling: with applications to multidimensional civil engineering systems (1981), McGraw-Hill, New York
14. Shinozuka M. Basic analysis of structural safety. J Struct Eng 109 3 (1983) 721-740
15. Ang H.S., and Tang W.H. Probability concepts in engineering planning and design. Decision, risk, and reliability vol. 2 (1984), Wiley, New York
16. Baecher G.B., and Christian J.T. Reliability and statistics in geotechnical engineering (2003), Wiley, Hoboken (NJ)
17. Low B.K., and Tang W.H. Efficient reliability evaluation using spreadsheet. J Eng Mech, ASCE 123 7 (1997) 749-752
18. Rackwitz R., and Fiessler B. Structural reliability under combined random load sequences. Comput Struct 9 (1978) 484-494
19. Low B.K., and Tang W.H. Reliability analysis using object-oriented constrained optimization. Struct Safe 26 1 (2004) 69-89
20. Low B.K., and Tang W.H. Efficient spreadsheet algorithm for first-order reliability method. J Eng Mech, ASCE 133 12 (2007) 1378-1387
21. Veneziano D. Contributions to second moment reliability. Research Report. No. R74-33. Department of Civil Engineering, MIT, Cambridge, Mass; 1974.
22. Low B.K., and Tang W.H. Reliability analysis of reinforced embankments on soft ground. Can Geotech J 34 5 (1997) 672-685
23. Martin C.D. The effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34 (1997) 698-725
24. Kaiser PK, Diederichs MS, Martin CD, Sharp J, Steiner W. Underground works in hard rock tunneling and mining. In: GeoEng2000. Technomic Publication Corporation; 2000. p. 841-926.
25. Hajiabdolmajid V., Kaiser P.K., and Martin C.D. Modeling brittle failure of rock. Int J Rock Mech Min Sci 39 (2002) 731-741
26. Low B.K. Reliability analysis of rock slopes involving correlated nonnormals. Int J Rock Mech Min Sci 44 6 (2007) 922-935
27. Low B.K. Practical reliability approach using spreadsheet. In: Phoon K.K. (Ed). Reliability-based design in geotechnical engineering: computations and applications (2008), Taylor & Francis 134-168 [chapter 3]
28. Evans M., Hastings N., and Peacock B. Statistical distributions. 2nd ed. (1983), Wadsworth, Belmont (CA)
29. Kreyszig E. Advanced engineering mathematics. 7th ed. (1993), John Willey & Sons, New York
30. Sakurai W. Displacement measurements associated with the design of underground openings. In: International symposium on field measurements in geomechanics, Zurich, vol. 2; 1983. pp. 1163-78.
31. Hoek E. Big tunnels in bad rock, Terzaghi lecture. J Geotech Geoenviron Eng ASCE 127 9 (2001) 726-740
32. Low B.K. Efficient probabilistic algorithm illustrated for a rock slope. Rock Mech Rock Eng 41 5 (2008) 715-734
33. Colmenares L.B., and Zoback M.D. A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks. Int J Rock Mech Min Sci 39 (2002) 695-729
34. Mogi K. Effect of intermediate principal stress on rock failure. J Geophys Res 72 (1967) 5117-5131
35. Mogi K. Fracture and flow of rocks under high triaxial compression. J Geophys Res 76 5 (1971) 1255-1269
36. Lade P.V. Elasto-plastic stress-strain theory for chesionless soil with curved yield surfaces. Int J Solids Struct 13 (1977) 1019-1035
37. Amadei B. Strength of a regularly jointed rock mass under biaxial and axisymmetric loading. Intl J Rock Mech Mine Sci Geomech Abstr 25 1 (1988) 3-13
38. Singh B., Goel R.K., Mehrotra V.K., Garg S.K., and Allu M.R. Effect of intermediate principal stress on strength of anisotropic rock mass. Tunn Undergr Space Technol 13 (1998) 71-79
39. Brace W.F. Brittle fracture of rocks. In: Judd W.R. (Ed). State of stress in the earth's crust (1964), Elsevier, New York 11-174
40. Yu M.H., and He L.N. A new model and theory on yield and failure of materials under the complex stress state. In: Jono M., and Inoue T. (Eds). Mechanical behaviour of materials - VI, (ICM-6) (1991), Pergamon, Oxford 841-846
41. Yu M.H. Unified strength theory and applications (2004), Springer, Berlin