Constitutive model for rock fractures: Revisiting Barton's empirical model

Engineering Geology

Volumn 113, Issue 1-4, 2010, Pages 11-32

  Asadollahi, Pooyan ^a   Tonon, Fulvio ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Barton's empirical model; Constitutive model; Dilatancy; Rock fractures; Shear stiffness; Shear strength

Indexed keywords

BARTON'S EMPIRICAL MODEL; BASE EQUATIONS; DIRECT SHEAR TEST; EMPIRICAL EQUATIONS; EMPIRICAL MODEL; JOINT ROUGHNESS COEFFICIENTS; MODIFIED MODEL; NORMAL STRESS; ORIGINAL MODEL; POST-PEAK; ROCK DISCONTINUITY; ROCK FRACTURES; SHEAR DISPLACEMENT; SHEAR STIFFNESS;

CONSTITUTIVE MODELS; DIELECTRIC PROPERTIES; FRACTURE; ROCKS; STIFFNESS;

SHEAR STRENGTH;

CONSTITUTIVE EQUATION; DILATANCY; DISPLACEMENT; FRACTURE; NUMERICAL MODEL; ROCK MECHANICS; SHEAR STRENGTH; STIFFNESS;

EID: 77952287497     PISSN: 00137952     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enggeo.2010.01.007     Document Type: Article

References (78)

1. Addotto, S., 2009, Study of the influence of geomechanical parameters on the stability of keyblocks at the boundary of rock tunnels. MSc Thesis, Politecnico di Torino.
2. Amadei B., Saeb S. Constitutive models of rock joints. International Symposium on Rock Joints 1990, A.A. Balkema, Leon, Norway.
3. Asadollahi, P., 2004. Modeling rockbolts and shotcrete in tunnels excavated through jointed rock and comparison with an empirical method, MSc Thesis, University of Tehran, Tehran.
4. Asadollahi, P., 2009. Stability analysis of a single three dimensional rock block: effect of dilatancy and high-velocity water jet impact, PhD Dissertation, University of Texas at Austin.
5. Aydan O., Ichikawa Y., Ebisu S., Komura S., Watanabe A. Studies on interfaces and discontinuities and an incremental elasto-plastic constitutive law. International Symposium on Rock Joints 1990, A.A. Balkema, Leon, Norway.
6. Bandis, S.C., 1980. Experimental studies of scale effects on shear strength and deformation of rock joints, PhD thesis, University of Leeds, 385 p.
7. Bandis S.C. Mechanical properties of rock joints. International Symposium on Rock Joints 1990, A.A. Balkema, Leon, Norway.
8. Bandis, S.C., Lumsden, A.C. and Barton, N., 1981. Experimental studies of scale effects on the shear behaviour of rock joints. 18: 1-21.
9. Bandis S.C., Lumsden A.C., Barton N.R. Fundamentals of rock joint deformation. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1983, 20(6):249-268.
10. Barton N. Estimation of in situ shear strength from back analysis of failed rock slopes. Int. Symp. Rock Mech. Rock Fracture. Paper II-27, Nancy 1971.
11. Barton N. A model study of rock joint deformation. Int. J. Rock Mech. Min. Sci. 1972, 9:570-602.
12. Barton N. Review of a new shear strength criterion for rock joints. Eng. Geol. 1973, 7:287-332.
13. Barton N. Rock mechanics review: the shear strength of rock and rock joints. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1976, 13:255-279.
14. Barton N. Modelling Rock Joint Behavior from In Situ Block Tests: Implications for Nuclear Waste Repository Design, Office of Nuclear Waste Isolation, Columbus, OH, 96p., ONWI-308, September 1982 1982.
15. Barton N., Bakhtar K. Rock Joint Description and Modelling for the Hydrothermomechanical Design of Nuclear Waste Repositories 1983, Terra Tek Engineering.
16. Barton N., Choubey V. The shear strength of rock joints in theory and practice. Rock Mech. 1977, 10:1-54.
17. Barton N., Bandis S.C., Bakhtar K. Strength, deformation and conductivity coupling of rock joints. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1985, 22(3):121-140.
18. Brown E.T. Rock characterization, testing and monitoring. ISRM Suggested Methods 1981, Pergamon Press, Oxford.
19. Byerlee J.D. The fracture strength and frictional strength of Weber sandstone. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1975, 12:1-4.
20. Coulson J.H. Shear strength of flat surfaces in rock. 13th Symp. on Rock Mech 1972, 77-105. Urbana, IL. E.J. Cording (Ed.).
21. Desai C.S., Fishman K.L. Constitutive models for rocks and discontinuities (joints). 28th US Symp. on Rock Mechanics, Tuscon 1987, 609-619.
22. Desai C.S., Fishman K.L. Plasticity-based constitutive model with associated testing for joints. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1991, 28(1):15-26.
23. Fox D.J., Kana D.D., Hsiung S.M. Influence of interface roughness on dynamic shear behavior in jointed rock. Int. J. Rock. Mech. Min. Sci. 1998, 35(7):923-940.
24. Gens A., Carol I., Alonso E.E. A constitutive model for rock joints, formulation and numerical implementation. Comput. Geotech. 1990, 9:3-20.
25. Goodman R.E. The mechanical properties of joints. Proc. 3rd Congr. ISRM, Vol. 1A, p. 127-140, Denver 1974, 127-140.
26. Goodman R.E. Methods of Geological Engineering in Discontinuous Rock 1976, West, New York.
27. Grasselli G., Egger P. Constitutive law for the shear strength of rock joints based on three-dimensional parameters. Int. J. Rock Mech. Min. Sci. 2003, 40:25-40.
28. Heuze F.E., Barbour T.G. Models for jointed rock structures. 1st Int. Conf. on Computing in Civil Engng, NY, ASCE 1981, 811-824.
29. Homand F., Lefevre F., Belem T., Souley M. Rock joints behaviour under cyclic direct shear tests. Rock Mechanics for Industry 1999, 399-406. Balkema, Rotterdam. K. Amadei, S. Smealie (Eds.).
30. Homand F., Belem T., Souley M. Friction and degradation of rock joint surfaces under shear loads. Int. J. Numer. Anal. Methods Geomech. 2001, 25:973-999.
31. Hsu-Sun K. Non-linear analysis of the mechanical properties of joints and weak intercalations in rock. 3rd Int. Conf. on Numerical Methods in Geomechanics, Aachen 1979, 523-532.
32. Huang X., Haimson B.C., Plesha M.E., OIU X. An investigation of the mechanics of rock joints-part I: laboratory investigation. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1993, 30(3):257-269.
33. Huang T.H., Chang C.S., Chao C.Y. Experimental and mathematical modeling for fracture of rock joint with regular asperities. Eng. Fract. Mech. 2002, 69:1977-1996.
34. Hutchinson, J.N., 1972. Field and laboratory studies of a fall in Upper Chalk cliffs at Joss Bay, Isle of Thanet. Stress-strain behaviour of soils. In: P. R.H.G. (Editor), Roscoe Mem. Symp. p. 692-706. G.T.Foulis, Henley-on-Thames, Cambridge University.
35. Hutson R.W. Preparation of Duplicate Rock Joints and Their Changing Dilatancy Under Cyclic Shear 1987, Northwestern University, Evanston, Illinois.
36. Hutson R.W., Dowding C.H. Joint asperity degradation during cyclic shear. Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 1990, 27(2):109-119.
37. Invernizzi, M., 2009, Application of a modified Barton's model for the stability analysis of keyblocks in rock tunnels. MSc Thesis, Politecnico di Torino.
38. Suggested methods for the quantitative description of discontinuities in rock masses. Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 1978, 15:319-368. ISRM.
39. Jacobsson L. Oskarshamn Site Investigation - Boreholes KLX02 and KLX04A - Uniaxial Compression Test of Intact Rock and Normal Loading and Shear Tests on Joints 2004, Svensk Kärnbränslehantering AB.
40. Jacobsson L. Fotsmark Site Investigation - Borehole KFM05A, KFM06A, KFM08A, KFM07A - Triaxial Compression Test of Intact Rock, Uniaxial Compression Test of Intact Rock, and Normal Loading and Shear Tests of Joints 2005, Svensk Kärnbränslehantering AB (SKB).
41. Jacobsson L. Oskarshamn Site Investigation - Borehole KLX06A and KLX03A - Triaxial Compression Test of Intact Rock and Normal Loading and Shear Tests of Joints 2005, Svensk Kärnbränslehantering AB (SKB).
42. Jacobsson L. Forsmark Site Investigation - Borehole KFM09A - Triaxial Compression Test of Intact Rock 2006, Svensk Kärnbränslehantering AB (SKB).
43. Jacobsson L. Oskarshamn Site Investigation - Borehole KLX10 and KLX12A - Triaxial Compression Test of Intact Rock 2006, Svensk Kärnbränslehantering AB.
44. Jacobsson L., Flansbjer M. Forsmark Site Investigation - Borehole KFM06A, KFM05A, KFM08A, and KFM07A - Normal Loading and Shear Tests on Joints 2005, Svensk Kärnbränslehantering AB (SKB).
45. Jacobsson L., Flansbjer M. Oskarshamn Site Investigation - Borehole KLX06A and KLX03A - Normal Loading and Shear Tests on Joints 2005, Svensk Kärnbränslehantering AB (SKB).
46. Jacobsson L., Flansbjer M. Forsmark Site Investigation - Borehole KFM09A - Normal Loading and Shear Tests on Joints 2006, Svensk Kärnbränslehantering AB (SKB).
47. Jacobsson L., Flansbjer M. Oskarshamn Site Investigation - Borehole KLX10 and KLX12A- Normal Loading and Shear Tests on Joints 2006, Svensk Kärnbränslehantering AB.
48. Jaeger J.C. The frictional properties of joints in rock. Geofis. Pura Appl., Milano 1959, 43:148-158.
49. Jaeger J.C. Friction of rocks and stability of rock slopes. Geotechnique 1971, 21:97-134.
50. Jing L. Numerical modeling of jointed rock masses by distinct element method for two and three-dimensional problems 1990, Lulea University of Technology, Lulea, Sweden.
51. Jing L., Stephansson O., Nordlund E. Study of rock joints under cyclic loading conditions. Rock Mech. Rock Engng. 1993, 26(3):215-232.
52. Kana D.D., Fox D.J., Hsiung S.M. Interlock/friction model for dynamic shear response in natural jointed rock. Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 1996, 33(4):371-386.
53. Kane F.W., Drumm E.C. A modified 'cap' model for rock joints. 28th US Symp. on Rock Mechanics, Tuscon 1987, 699-705.
54. Krsmanovic D. Initial and residual shear strength of hard rocks. Geotechnique 1967, 17:145-160.
55. Krsmanovic D., Langof Z. Large scale laboratory tests of the shear strength of rocky material. Rock Mech. Eng. Geol., Suppl. 1964, 1:20-30.
56. Ladanyi B., Archambault G. Simulation of the shear behaviour of a jointed rock mass. The 11th Symposium on Rock Mechanics, Berkeley 1969, 105-125.
57. Lane K.S., Heck W.J. Triaxial testing for strength of rock joints. 6th Symp. Rock Mech, Rolla, MI 1964, 98-108. E.M. Spokes, C. C.R. (Eds.).
58. Lee H.S., Park Y.J., Cho T.F., You K.H. Influence of asperity degradation on the mechanical behavior of rough rock joints under cyclic shear loading. Int. J. Rock Mech. Min. Sci. 2001, 38:967-980.
59. Leichnitz W. Mechanical properties of rock joints. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1985, 22(5):313-321.
60. Muralha J. Evaluation of mechanical characteristic of rock joints under shear loads. International Symposium on Rock Joints 1990, A.A. Balkema, Leon, Norway.
61. Olsson R., Barton N. An improved model for hydromechanical coupling during shearing of rock joints. Int. J. Rock Mech. Min. Sci. 2001, 38:317-329.
62. Pande G.N. A constitutive model of rock joints. Int. Symp. on Fundamentals of Rock Joints, Bjorkliden, Sweden 1985, 429-439.
63. Patton F.D. Multiple modes of shear failure in rock. The 1st Congress of the International Society of Rock Mechanics, Lisbon 1966, 509-513.
64. Patton, F.D., 1966b. Multiple modes of shear failure in rock and related materials, Thesis, University of Illinois.
65. Plesha M.E. Constitutive models for rock discontinuities with dilatancy and surface degradation. Int. J. Numer. Anal. Methods Geomech. 1987, 11:345-362.
66. Qiu X., Plesha M.E., Huang X., Haimson B.C. An investigation of the mechanics of rock joints-part II: analytical investigation int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 1993, 30(3):271-287.
67. Ripley C.F., Lee K.L. Sliding friction tests on sedimentary rock specimens. Proc. 7th Congr. Large Dams, Rome, Vol. 4 1962, 657-671.
68. Saeb S. A variance on Ladanyi and Archambault's shear strength criterion. Rock Joints 1990, 701-705. Balkema, Rotterdam. S. Barton (Ed.).
69. Samadhiya N.K., Viladkar M.N., Al-Obaydi M.A. Three-dimensional joint/interface element for rough undulating major discontinuities in rock masses. Int. J. Geomech. 2008, 8(6):327-335.
70. Swan G. Tribbology and the characterization of rock joints. 22nd US Symp. on Rock Mechanics Boston 1981, 402-407.
71. Szirtes T. Applied Dimensional Analysis and Modeling 1997, McGraw-Hill.
72. Van Sint Jan M.L. Shear tests of model rock joints under stiff normal loading. International Symposium on Rock Joints 1990, A.A. Balkema, Leon, Norway.
73. Wallace, G.B., Slebir, E.J., Anderson, F.A., 1970. Foundation testing for Auburn Dam. Proc. 11th Symp. Rock Mech, Berkeley, pp. 461-498.
74. Wang J.G., Ichikawa Y., Leung C.F. A constitutive model for rock interfaces and joints. Int. J. Rock Mech. Min. Sci. 2003, 40:41-53.
75. Wibowo J. Effect of Boundary Conditions and Surface Damage on the Shear Behavior of Rock Joints: Tests and Analytical Predictions 1994, University of Colorado at Boulder, Boulder, CO, 200pp.
76. Wibowo J., Amadei B., Sture S., Price R.H. Effect of Boundary Conditions on the Strength and Deformability of Replicas of Natural Fractures in Welded Tuff: Data Report 1993, Sandia National Laboratories, Albuquerque, New Mexico.
77. Yoshinaka R., Yamabe T. Joint stiffness and the deformation behaviour of discontinuous rock. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 1986, 23(1):19-28.
78. Zubelewicz A., O'Connor K., Dowding C.H., Belytschko T., Plesha M.E. A constitutive mpdel for cyclic behavior of dilatant rock joints. The Second International Conference on Constitutive laws for Engineering Materials 1987, 1137-1144.