Mechanics of a discontinuity in a geomaterial

Computers and Geotechnics

Volumn 32, Issue 2, 2005, Pages 92-106

  Selvadurai, A Patrick S ^a   Yu, Q ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Contact mechanics; Geomaterial discontinuity; Hydraulic conductivity of fractures; Incompatible movements; Material plasticity; Mechanics of joint

Indexed keywords

COMPUTATIONAL METHODS; DEFORMATION; FRICTION; MATHEMATICAL MODELS; PROBLEM SOLVING; ROCKS; SURFACE PROPERTIES; TWO DIMENSIONAL;

GEOMATERIALS; GEOMECHANICS; SHEAR MOVEMENT; SHEARING TESTS;

GEOTECHNICAL ENGINEERING;

DISCONTINUITY; GEOMECHANICS; INTERFACE; SHEAR;

EID: 14644419569     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2004.11.007     Document Type: Article

References (109)

1. C.A. Coulomb Théorie des machines simples Mémoire de mathématique et Physique de l'Académie Royale 10 1785 161-342
2. F.P. Bowden D. Tabor The friction and lubrication of solids 1986 Clarendon Press Oxford
3. K.L. Johnson Contact mechanics 1985 Cambridge University Press Cambridge
4. Patton FD. Multiple modes of shear failure in rock. In: Proceedings of the 1st congress of ISRM, vol. 1. Laboratório nacional de engenharia civil, Lisboa; 1996. p. 509-13
5. Ladanyi B, Archambault G. Shear strength and deformability of filled indented joints. InT International symposium: The geotechnics of structurally complex formations, Capri; 1977. p. 371-26
6. Barton NR. A relationship between joint roughness and joint shear strength. In: Rock fracture: Proceedings of the international symposium on rock mechanics, Nancy, France; 1971. p. 1-8
7. N.R. Barton V. Choubey The shear strength of rock joints in theory and practice Rock Mech 10 1977 1-54
8. International Society for Rock Mechanics. Commission on Standardization of Laboratory and Field Tests, Suggested methods for the quantitative description of discontinuities in rock masses. Int Rock Mech Min Sci Geomech Abstr 1978;15:319-68
9. R. Tse D.M. Cruden Estimating joint roughness coefficients Int Rock Mech Min Sci Geomech Abstr 16 1979 303-307
10. M.J. Reeves Rock surface roughness and frictional strength Int Rock Mech Min Sci Geomech Abstr 22 1985 429-442
11. Y.H. Lee J.R. Carr D.J. Barr C.J. Haas The fractal dimension as a measure of the roughness of rock discontinuity profile Int Rock Mech Min Sci Geomech Abstr 27 1990 453-464
12. H. Xie J.A. Wang W.H. Xie Fractal effects of surfaces roughness on the mechanical behavior of rock joints Chaos Soliton Fract 8 1997 221-252
13. Huang TH, Doong YS. Anisotropic shear strength of rock joints. In: Rock joints: Proceedings of the international symposium on rock joints, Loen, Norway; 1990. p. 211-8
14. L. Jing E. Nordlund O. Stephansson An experimental study on the anisotropy and stress-dependency of the strength and deformability of rock joints Int J Rock Mech Min Sci Geomech Abstr 29 1992 535-542
15. Seidel JP, Haberfield CM. The use of fractal geometry in a joint shear model. In: Mechanics of jointed and faulted rock: Proceedings of the 2nd international conference on mechanics of jointed and faulted rock, MJFR-2, Vienna, Austria; 1995. p. 529-34
16. G. Grasselli P. Egger 3D. Surface characterization for the prediction of the shear strength of rough joints Eurock 2000, Aachen 2000 281-286
17. S.R. Brown C.I.I. Scholz Broad band width study of the topography of natural rock surfaces J Geophys Res 90 1985 12575-12582
18. Turk N, Grieg MJ, Dearman WR, Amin FF. Characteriztion of rock joint surfaces by fractal dimension. In: Rock mechanics: Proceedings of the 28th US symposium; 1987. p. 1223-36
19. Carr JR. Rock mass classification using fractal dimension. In: Proceedings of the 28th US Symposium on rock mechanics, Tucson; 1987. p. 73-80
20. Wakabayashi N, Fukushige I. Experimental study on the relation between fractal dimension and shear strength. In: Mechanics of jointed and faulted rock, Proceedings of the 2nd international conference, MJFR-2, Vienna; 1995. p. 119-24
21. H. Xie W.G. Pariseau Fractal estimation of joint roughness coefficients Science in China (Series B) 34 1994 1516-1524
22. S. Gentier J. Riss G. Archambault R. Flamand D. Hopkins Influence of fracture geometry on shear behavior Int Rock Mech Min Sci 37 2000 161-174
23. R.O. Davis G. Salt Strength of undulating shear surfaces in rock Geotechnique 36 1986 503-509
24. J.K. Kodikara I.W. Johnston Shear behaviour of irregular triangular rock-concrete joints Int J Rock Mech Min Sci Geomech Abstr 31 1994 313-322
25. Armand G, Boulon MJ, Papadopoulos C, Basanou ME, Vardoulakis IP. Mechanical behaviour of Dionysos marble smooth joints: I. Experiments. In: Mechanics of jointed and faulted rock: Proceedings of the 3rd international conference, MJFR-3, Vienna; 1998. p. 159-64
26. Armand G, Boulon MJ, Hoteit N, Cannic S. Mechanical behaviour of natural joints of granodiorite under high normal stress. In: Mechanics of jointed and faulted rock. Proceedings of the third international conference, MJFR-3, Vienna; 1998. p. 217-22
27. Z.Y. Yang D.Y. Chiang An experimental study on the progressive shear behaviour of rock joints with tooth-shaped asperities Int Rock Mech Min Sci Geomech Abstr 37 2000 1247-1259
28. T.L. Brekke On the measurement of the relative potential swellability of hydrothermal montmorillonite clay from joints and faults in the Pre-Cambrian and Paleozoic rocks in Norway Int Rock Mech Min Sci Geomech Abst 2 1965 155-165
29. T.L. Brekke R. Selmer-Olsen Stability problems in underground constructions caused by montmorillonite-carrying joints and faults Eng Geol 1 1965 3-19
30. J. Bernaix Etude géotechnique de la roche de Malpasset 1967 Dunod Paris
31. S.V. Romero In situ direct shear on irregular-surface joints filled with clayey material ISRM Rock Mech Symp, Madrid 1 1968 189-194
32. Schnitter NJ, Schneider TR. Abutment stability investigations for Emossen arch dam In: Proceedings of the 10th international congress on large dams, Montreal, vol. 2; 1970. p. 69-87
33. R.E. Goodman The deformability of joints ASTM: Special Tech Publ 1970 174-196
34. Tulinov R, Molokov L. Role of joint filling material in shear strength of rocks. In: Proceedings of the ISRM symposium, Nancy, France; 1971. Paper II-24
35. R.E. Goodman R.L. Taylor T.L. Brekke A model for the mechanics of jointed rock J Soil Mech Found Div Proc ASCE 94 1968 637-659
36. Zienkiewicz O.C. Best B. Dullage C. Stagg K.G. Analysis of nonlinear problems in rock mechanics with particular reference to jointed rock systems In: Proceedings of the 2nd Congress of International Society for Rock Mechanics Beograd, vol. 2 1970. p. 501-9
37. Mahtab MA, Goodman RE. Three-dimensional finite element analysis of jointed rock slopes. In: Proceedings of the 2nd Congress, ISRM, Beograd, vol. 3; 1970. p. 7-22
38. G. Fredriksson Finite element simulation of surface non-linearities in structural mechanics Comput Struct 6 1976 281-290
39. J. Ghaboussi E.L. Wilson J. Isenberg Finite elements for rock joints and interfaces J Soil Mech Fdn Div Proc ASCE 99 1973 833-848
40. L.R. Herrmann Finite element analysis of contact problems J Eng Mech Div Proc ASCE 104 1978 1042-1057
41. G.N. Pande K.G. Sharma On joint/interface elements and associated problems of numerically ill-conditioning Int J Num Anal Meth Geomech 3 1979 293-302
42. M.G. Katona A simple contact-friction interface element with applications to buried culverts Int J Num Anal Meth Geomech 7 1983 371-384
43. Selvadurai APS, Faruque MO. The influence of interface frictionon the performance of cable jacking tests of rock masses. In: Implementation of computer procedures and stress-strain laws in geotechnical engineering. Proc Symp, Chicago, vol. 1; 1981. p. 169-83
44. Desai CS. Behaviour of interfaces between structural and geologic media. In: Proceedings of the international conference on recent advances in geotech. Earthquake Engineering and Soil Dynamics, St. Louis, MO 1981. p. 619-38
45. C.S. Desai M.M. Zaman J.G. Lightner H.J. Siriwardane Thin-layer element for interfaces and joints Int J Num Anal Meth Geomech 1984 19-43
46. C.S. Desai B.K. Nagaraj Modelling of normal and shear behaviour at contacts and interfaces J Eng Mech Div Proc ASCE 114 1988 1042-1057
47. R.E. Goodman J. Dubois Duplication of dilatancy in analysis of jointed rocks J Soil Mech Fdn Div Proc ASCE 98 1972 399-422
48. F.E. Heuze T.G. Barbour New models for rock joints and interfaces J Geotech Eng Div Proc ASCE 108 1982 757-776
49. W. Leichnitz Mechanical properties of rock joints Int J Rock Mech Min Sci Geomech Abstr 22 1985 313-321
50. Carol I, Gens A and Alonso EE. A three-dimensional elasto-plastic joint element. In: Proceedings of the international symposium on fundamentals of rock joints, 1985. p. 441-51
51. A. Gens I. Carol E.E. Alonso Rock joints: FEM implementation and applications Mechanics of geomaterial interfaces 1995 Elsevier New York 395-420
52. M.J. Boulon R. Nova Modelling of soil-structure interface behaviour, a comparison between elastoplastic and rate-type law Comput Geotech 9 1990 21-46
53. D. Aubry A. Modaressi A constitutive model for cyclic behaviour of interfaces with variable dilatancy Comput Geotech 9 1990 47-58
54. J.-M. Hohberg Concrete joints In: Mechanics of geomaterial interfaces 1995 Elsevier New York 421-446
55. M.E. Plesha Constitutive models for rock discontinuities with dilatancy and surface degradation Int J Numer Anal Meth Geomech 11 1987 345-362
56. R.W. Hutson C.H. Dowding Joint asperity degradation during cyclic shear Int J Rock Mech Min Sci Geomech Abstr 27 1990 109-119
57. M.E. Plesha R. Ballarini A. Parulekar Constitutive model and finite element procedure for dilatant contact problems J Engng Mech Div Proc ASCE 115 1989 2649-2668
58. X. Qiu M.E. Plesha B.C. Haimson X. Huang An investigation of the mechanics of rock joints Int J Rock Mech Min Sci Geomech Abstr 30 1993 271-287
59. T.S. Nguyen A.P.S. Selvadurai A model for coupled mechanical and hydraulic behavior of a rock joint Int J Numer Anal Meth Geomech 22 1998 29-48
60. B. Indraratne A. Haque Shear behaviour of rock joints 2000 A.A. Balkema Rotterdam
61. Andersson T. The boundary element method applied to two-dimensional contact problems with friction. In: Boundary element methods, Proceedings of the 3rd international seminar, Irvine, CA; 1981
62. J.M. Crotty L.J. Wardle Boundary element analysis of piecewise homogeneous media with structural discontinuities Int J Rock Mech Min Sci Geomech Abstr 22 1985 419-427
63. A.P.S. Selvadurai M.C. Au Boundary element modelling of interface phenomena In: Topics in boundary element research 1987 Springer Verlag Berlin 112-126 [Chapter 5]
64. Selvadurai APS. The role of geomaterial interface degradation on the mechanics of a fracture. In: Mechanics of jointed and faulted rock: Proceedings of the 2nd international conference on mechanics of jointed and faulted rock, MJFR-2, Vienna; 1995. p. 1031-38
65. G. Beer B.A. Poulsen Rock joints-BEM computations In: Mechanics of geomaterial interfaces 1995 Elsevier New York 343-373
66. Snow DT. A parallel plate model of fractured permeable media. PhD thesis, University of California, Berkeley; 1965
67. W.F. Brace Note on permeability changes in geologic material due to stress Pure Appl Geophys 116 1978 627-633
68. R.L. Kranz A.D. Frankel T. Engelder C.H. Scholz The permeability of whole and jointed barre granite Int Rock Mech Min Sci Geomech Abstr 16 1979 225-234
69. K.G. Raven J.E. Gale Water flow in a natural rock fracture as a function of the stress and sample size Int Rock Mech Min Sci Geomech Abstr 22 1985 251-261
70. J.B. Walsh Effect of pore pressure and confining pressure on fracture permeability Int Rock Mech Min Sci Geomech Abstr 18 1981 429-435
71. T. Engelder C.H. Scholz Fluid flow along a very smooth joints at effective pressure up to 200 megapascals In: Mechanical Behavior of Crustal Rocks 1981 Amer Geophys Union Monograph Washtington, DC
72. J.E. Gale Assessing the permeability characteristics of fractured rock Geol Soc Am, Special Paper 189 1982 163-180
73. B.C. Haimson T.W. Doe State of stress, permeability and fractures in the precambrian granite of Northern Illinois J Geophys Res 88 1983 7355-7371
74. Bandis SC, Makurat A, Vik G. Predicted and measured hydraulic conductivity of rock joints. In: Proceedings of the international symposium on fundamentals of rock joints, Bjorkliden; 1985. p. 269-80
75. Pyrak-Nolte LJ, Myer LR, Cook NGW, Witherspoon PA. Hydraulic and mechanical properties of natural joints in low permeability rock. In: Proceedings of the 6th international congress on rock mechanics, Montreal; 1987. p. 225-31
76. Teufel LW. Permeability changes during shear deformation of fractured rock. In: Proceedings of the 28th US symposium on rock mechanics, Tucson; 1987. p. 473-80
77. Billaux D, Gentier S. Numerical and laboratory studies of flow in a fracture. In: Rock joints: Proceedings of the international symposium on rock joints, Loen, Norway; 1990. p. 369-73
78. Makurat A, Barton N, Rad NS, Bandis S. Joint conductivity due to normal and shear deformation. In: Rock joints: Proceedings of the international symposium on rock joints, Loen, Norway; 1990. p. 535-40
79. C.-F. Tsang Coupled thermo-mechanical hydro-chemical processes in rock fractures Rev Geophys 29 1991 537-551
80. M.J. Boulon A.P.S. Selvadurai H. Benjelloun B. Feuga Influence of rock joint degradation on hydraulic conductivity Int Rock Mech Min Sci Geomech Abstr 30 1993 1311-1317
81. L. Wei J.A. Hudson A coupled discrete-continuum approach for modelling of water flow in jointed rocks Geotechnique 43 1993 21-36
82. O. Stephansson Proceedings of the international symposium on fundamentals of rock joints, Björkliden, 15-20 September 1985 1985 Centek Lulea (Sweden)
83. B. Indraratna P.G. Ranjith Hydromechanical aspects of and unsaturated flow in jointed rock 2001 AA Balkema Leiden
84. D.L. Hopkins The implications of joint deformation in analysing the properties and behaviour of fractured rock masses, underground excavations and faults Int Rock Mech Min Sci Geomech Abstr 37 2000 175-202
85. A.P.S. Selvadurai G.Z. Voyiadjis Mechanics of material interfaces 1986 Elsevier New York
86. Barton N, Stephansson O, editors. Rock joints. Proceedings of the international symposium on rock joints, Loen, Norway; 1990
87. G.I. Barenblatt V.M. Entov V.M. Ryzhik Theory of fluid flows through natural rocks 1990 Kluwer Academic Dordrecht
88. Evans B, Wong T.-f., editors. Fault mechanics and transport properties of rocks. A Festschrift in Honour of W.F. Brace. San Diego: Academic Press; 1992
89. J.A. Hudson Comprehensive rock engineering vols. 1-5 1993 Pergamon Press New York
90. A.P.S. Selvadurai M.J. Boulon editors. Mechanics of geomaterial interfaces 1995 Elsevier New York
91. H.-.P. Rossmanith Proceedings of the First International Conference on Damage and Failure of Interfaces, DFI-1, Vienna, Austria, 22-24 September, 1997 1997 Balkema Rotterdam (Brookfield, VT, USA)
92. S.C. Bandis A.C. Lumsden N.R. Barton Fundamentals of rock joint deformation Int J Rock Mech Min Sci Geomech Abstr 20 1983 249-268
93. E. Drumm K. Fishman M. Zaman Modelling of interfaces and joints In: Modelling in geomechanics 2000 Wiley New York 389-426
94. W.-F. Chen Plasticity in reinforced concrete 1981 McGraw-Hill New York
95. W.-F. Chen A.F. Saleeb Constitutive equations for engineering materials vol. 1 1982 John Wiley New York
96. C.S. Desai H.J. Siriwardane Constitutive laws for engineering materials with emphasis on geologic materials 1984 Prentice-Hall Englewood Cliffs (NJ)
97. G.N. Pande G. Beer J.R. Williams Numerical methods in rock mechanics 1992 Wiley New York
98. F. Darve Geomaterials: Constitutive equations and modelling 1990 Elsevier London
99. Pietruszczak S, Pande GN, editors. NUMOG VI, Proceedings of the 7th symposium on numerical models in geomechanics, Montreal; 1997
100. R.O. Davis A.P.S. Selvadurai Plasticity and geomechanics 2002 Cambridge University Press Cambridge
101. R.O. Davis A.P.S. Selvadurai Elasticity and geomechanics 1995 Cambridge University Press Cambridge
102. ABAQUS/Standard Version 6.4. ABAQUS Theory Manual. ABAQUS, Inc.; 2004
103. K.J. Bathe Finite element procedures 1996 Prentice Hall Englewood Cliffs (NJ)
104. Zienkiewicz OC. The finite element method, 5th ed., vol. 2. Oxford; 2000
105. N. El-Abbasi K.J. Bathe Stability and patch test performance of contact discretizations and a new solution algorithm Comp Struct 79 2001 1473-1486
106. P. Wriggers W. Wagner editors. Computational mechanics: State of the art 2000 Springer-Verlag Berlin
107. K. Willner Kontinuums- und kontaktmechanik: Synthetische und analytische darstellung 2003 Springer-Verlag Berlin
108. Jaeger N.G.W. Cook Fundamentals of rock mechanics 2nd ed. 1976 Wiley New York
109. A.P.S. Selvadurai Partial differential equations in mechanics The biharmonic equation, Poisson's equation vol. 2 2000 Springer-Verlag Berlin