A simple method for analysis of point anchored rockbolts in circular tunnels in elastic ground

Rock Mechanics and Rock Engineering

Volumn 39, Issue 4, 2006, Pages 315-338

  Bobet, A ^a,b  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Analytical solution; Elastic; Point anchored rockbolts; Tunnel

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STRAIN; TUNNELS;

ANALYTICAL SOLUTION; ELASTIC; POINT ANCHORED ROCKBOLTS;

BOLTS;

ANALYTICAL METHOD; FINITE ELEMENT METHOD; GEOMETRY; NUMERICAL MODEL; ROCK BLOCK; STIFFNESS; STRAIN;

EID: 33748331247     PISSN: 07232632     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00603-005-0066-3     Document Type: Article

References (49)

1. Abramento, M., Whittle, A. J. (1993): Shear-lag analysis of a planar soil reinforcement in plane strain compression. J. Engng. Mech. ASCE 119(2), 270-291.
2. Abramento, M., Whittle, A. J. (1995a): Analysis of pullout tests for planar reinforcements in soil. J. Geotechn. Engng. ASCE 121(6), 476-485.
3. Abramento, M., Whittle, A. J. (1995b): Experimental evaluation of pullout analyses for planar reinforcements. J. Geotechn. Engng. ASCE 121(6), 486-492.
4. Alonso, E., Alejano, L. R., Varas, F., Fdez-Manín, G., Carranza-Torres, C. (2003): Ground response curves for rock masses exhibiting strain-softening behaviour. Int. J. Numer. Anal. Methods Geomech. 27, 1153-1185.
5. Aristorenas, G. (1992): Time dependent behavior of tunnels excavated in shale. Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, UA.
6. Augarde, C. E., Burd, H. J. (2001): Three-dimensional finite element analysis of lined tunnels. Int. J. Numer. Anal. Methods Geomech. 25, 243-262.
7. Bobet, A. (2001): Analytical solutions for shallow tunnels in saturated ground. ASCE J. Engng. Mech. 127(12), 1258-1266.
8. Bobet, A. (2002): Mechanically anchored rockbolts in tunnels in saturated ground. Proc. North American Rock Mechanics Symposium: NARMS-TAC 2002, 797-804.
9. Bobet, A. (2003): Effect of pore water pressure on tunnel support during static and seismic loading. Tunnel. Underground Space Technol. 18, 377-393.
10. Bobet, A., Aristorenas, G., Einstein, H. H. (1998): Feasibility analysis for a radioactive waste repository tunnel. Tunnel. Underground Space Technol. 13(4), 409-426.
11. Cai, Y., Esaki, T., Jiang, Y. (2004a): A rock bolt and rock mass interaction model. Int. J. Rock Mech. Min. Sci. 41, 1055-1067.
12. Cai, Y., Esaki, T., Jiang, Y. (2004b): An analytical model to predict axial load in grouted rock bolt for soft rock tunneling. Tunnel. Underground Space Technol. 19(6), 607-618.
13. Carranza, C., Fairhurst, C. (2000): Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion. Tunnel. Underground Space Technol. 15(2), 187-213.
14. Chen, S.-H., Qiang, S., Chen, S.-F., Egger, P. (2004): Composite element model of the fully grouted rock bolt. Rock Mech. Rock Engng. 37(3), 193-212.
15. Eberhardt, E. (2001): Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face. Int. J. Rock Mech. Min. Sci. 38, 499-518.
16. Einstein, H. H., Schwartz, C. W. (1979): Simplified analysis for tunnel supports. J. Geotechn. Engng. Div. ASCE 105(GT4), 499-518.
17. Einstein, H. H., Bobet, A. (1997): Mechanized tunnelling in squeezing ground - from basic thoughts to continuous tunnelling. Proc. World Tunnel Congress '97. Vienna, Austria, 619-632.
18. Farmer, I. W. (1975): Stress distribution along resin grouted rock anchor. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 12, 347-351.
19. Gioda, G., Swoboda, G. (1999): Developments and applications of the numerical analysis of tunnels in continuous media. Int. J. Numer. Anal. Methods Geomech. 23, 1393-1405.
20. Grasselli, G. (2005): 3D Behaviour of bolted rock joints: experimental and numerical study. Int. J. Rock Mech. Min. Sci. 42, 13-24.
21. Hibbit, Karlson & Sorensen, Inc. (2002): ABAQUS/Standard User's Manual, Version 6-3.5, 1080 Main Street, Pawtucket, RI, USA.
22. Hoek, E., Brown, E. T. (1982): Underground excavations in rock. The Institution of Mining and Metallurgy, London.
23. Hsueh, C. H. (1988): Elastic load transfer from partially embedded axially loaded fibre to matrix. J. Mater. Sci. Lett. 7, 497-500.
24. Hsueh, C. H. (1990a): Interfacial debonding and fiber pull-out stresses of fiber-reinforced composites. Mater. Sci. Engng. A123, 1-11.
25. Hsueh, C. H. (1990b): Effects of interfacial bonding on sliding phenomena during compressive loading of an embedded fibre. J. Mater. Sci. 25, 4080-4086.
26. Kasper, T., Meschke, G. (2004): A 3D finite element simulation model for TBM tunnelling in soft ground. Int. J. Numer. Anal. Methods Geomech. 28, 1441-1460.
27. Kawamoto, T., Aydan, Ö. (1999): Areview of numerical analysis of tunnels in discontinuous rock masses. Int. J. Numer. Anal. Methods Geomech. 23, 1377-1391.
28. Labiouse, V. (1996): Ground response curves for rock excavations supported by ungrouted tensioned rockbolts. Rock Mech. Rock Engng. 29(1), 19-38.
29. Lee, I., Nam, S. (2004): Effect of tunnel advance rate on seepage forces acting on the underwater tunnel face. Tunnel. Underground Space Technol. 19, 273-281.
30. Li, C. (2000): Analytical study of the behavior of rock bolts. In: Girard, J., Liebman, H., Breeds, C., Doe, T. (eds.), Proc., Pacific Rocks 2000. Balkema, Rotterdam.
31. Li, C., Stillborg, B. (1999): Analytical models for rock bolts. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 36, 1013-1029.
32. Liu, B., Yue, Z. Q., Tham, L. G. (2005): Analytical design method for a truss-bolt system for reinforcement of fractured coal mine roofs - illustrated with a case study. Int. J. Rock Mech. Min. Sci. 42, 195-218.
33. Muniz de Fanas, M., Henrique, A., Pacheco, A. (2004): Displacement control in tunnels excavated by the NATM: 3-D numerical simulations. Tunnel. Underground Space Technol. 19, 283-293.
34. Nairn, J. A. (1997): On the use of shear-lag methods for analysis of stress transfer in unidirectional composites. Mech. Mater. 26, 63-80.
35. Nairn, J. A., Mendels, D. A. (2001): On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites. Mech. Mater. 33, 335-362.
36. Ochiai, S., Hojo, M., Inoue, T. (1999): Shear-lag simulation of the progress of interfacial debonding in unidirectional composites. Composites Sci. Technol. 59, 77-88.
37. Oreste, P. P., Peila, D. (1996): Radial passive rockbolting in tunnelling design with a new onvergence-confinement model. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33(5), 443-454.
38. Potyondy, D. O., Cundall, P. A. (2004): A bonded-particle model for rock. Int. J. Rock Mech. Min. Sci. 41, 1329-1364.
39. Serrano, A., Olalla, C. (1999): Tensile resistance of rock anchors. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 36, 449-474.
40. Shalabi, F. I. (2005): FE analysis of time-dependent behavior of tunneling in squeezing ground using two different creep models. Tunnell. Underground Space Technol. 20, 271-279.
41. Sharma, K. G., Pande, G. N. (1988): Stability of rock masses reinforced by passive, fully-grouted rock bolts. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 25(5), 273-285.
42. Sinha, R. S. (1989): Design methods. In: Sinha, R. S. (ed.), Underground structures: design and instrumentation, Elsevier Science Publishers, Amsterdam, pp 33-83.
43. Soutas-Little, R. V. (1999): Elasticity. Dover Publications, Inc, N.Y.
44. Stille, H., Holmberg, M., Nord, G. (1989): Support of weak Rock with grouted bolts and shotcrete. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 26(1), 99-113.
45. Suwansawat, V. (1998): Using the Relative Stiffness Method (Tunnelliner) and the Finite-Element Method (PLAXIS) for tunnel design. MIT Internal Report, Cambridge.
46. Tannant, D. D., Brummer, R. K., Yi, X. (1995): Rockbolt behaviour under dynamic loading: field tests and modelling. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 32(6), 537-550.
47. Timoshenko, S. P., Goodier, J. N. (1970): Theory of elasticity. 3rd edn., McGraw, New York.
48. Windsor, C. R. (1997): Rock reinforcement systems. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 34(6), 919-951.
49. Zhu, W., Li, S., Li, S., Chen, W., Lee, C. F. (2003): Systematic numerical simulation of rock tunnel stability considering different rock conditions and construction effects. Tunnell. Underground Space Technol. 18, 531-536.