Numerical methods in rock mechanics

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420 L. Jing, J.A. Hudson / International Journal of Rock Mechanics & Mining Sciences 39 (2002) 409–427 [34] Ohnishi Y, editor. Proceedings of the Second International Conferences of Discontinuous Deformation (ICADD-II), Kyoto, 1997**. [35] Amadei B, editor. Proceedings of the Third International Conferences of Discontinuous Deformation (ICADD-III), Vail, Colorado, 1999**. [36] Belytchko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Comput Methods Appl Mech Eng 1996;139:3–47 *. [37] Zhang X, Lu M, Wegner JL. A 2-D meshless model for jointed rock structures. Int J Numer Methods Eng 2000;47: 1649–61. [38] Belytschko T, Organ D, Gerlach C. Element-free Galerkin methods for dynamic fracture in concrete. Comput Methods Appl Mech Eng 2000;187:385–99 *. [39] Li S, Qian D, Liu WK, Belytschko T. A meshfree contactdetection algorithm. Comput Methods Appl Mech Eng 2001;190:3271–92 *. [40] Lachat JC, Watson JO. Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics. Int J Numer Methods Eng 1976;10:991–1005 *. [41] Watson JO. Advanced implementation of the boundary element method for two- and three-dimensional elastostatics. In: Banerjee PK, Butterfield R, editors. Developments in boundary element methods, vol. 1. London: Applied Science Publishers, 1979. p. 31–63 *. [42] Crouch SL, Fairhurst C. Analysis of rock deformations due to excavation. Proceedings of the ASME Symposium on Rock Mechanics, 1973. p. 26–40. [43] Brady BHG, Bray JW. The boundary element method for determining stress and displacements around long openings in a triaxial stress field. Int J Rock Mech Min Sci Geomech Abstr 1978;15:21–8 *. [44] Crouch SL, Starfield AM. Boundary element methods in solid mechanics. London: George Allen & Unwin, 1983 **. [45] Hoek E, Brown ET. Underground excavations in rock. London, UK: Institute of Mining and Metallurgy, 1982. [46] Brebbia CA, editor. Topics in boundary element research, vol. 4, applications in geomechanics. Berlin: Springer, 1987*. [47] Pande GN, Beer G, Williams JR. Numerical methods in rock mechanics. New York: Wiley, 1990. [48] Beer G, Watson JO. Introduction to finite boundary element method for engineers. NY: Wiley, 1992 *. [49] Venturini WS, Brebbia CA. Some applications of the boundary element method in geomechanics. Int J Numer Methods Eng 1983;7:419–43. [50] Beer G, Pousen A. Efficient numerical modelling of faulted rock using the boundary element method. Int J Rock Mech Min Sci 1995;32(3):117A. [51] Beer G, Pousen A. Rock joints-BEM computations. In: Sevaldurai, Boulon, editors. Mechanics of geometerial interfaces. Rotterdam: Elsevier, 1995. p. 343–73. [52] Kayupov MA, Kuriyagawa M. DDM modelling of narrow excavations and/or cracks in anisotropic rock mass. In: Barla, editor. Proceedings of Eurock’96. Rotterdam: Balkema, 1996. p. 351–8. [53] Cerrolaza M, Garcia R. Boundary elements and damage mechanics to analyze excavations in rock mass. Eng Anal Boundary Elements 1997;20:1–16. [54] Pan E, Amadei B, Kim YI. 2D BEM analysis of anisotropic halfplane problems—application to rock mechanics. Int J Rock Mech Min Sci 1998;35(1):69–74 *. [55] Shou KJ. A three-dimensional hybrid boundary element method for non-linear analysis of a weak plane near an underground excavation. Tunnelling Underground Space Technol 2000;16(2):215–26. [56] Tian Y. A two-dimensional direct boundary integral method for elastodynamics. Ph.D. thesis, University of Minnesota, Minneapolis, 1990*. [57] Siebrits E, Crouch SL. Geotechnical applications of a twodimensional elastodynamic displacement discontinuity method. Int J Rock Mech Min Sci Geomech Abstr 1993;30(7):1387–93. [58] Birgisson B, Crouch SL. Elastodynamic boundary element method for piecewise homogeneous media. Int J Numer Methods Eng 1998;42(6):1045–69. [59] Wang BL, Ma QC. Boundary element analysis methods for ground stress field of rock masses. Comput Geotech 1986;2: 261–74. [60] Jing L.Characterization of jointed rock mass by boundary integral equation method. Proceedings of the International Symposium on Mining Technology and Science. Xuzhow, China: Trans Tech Publications, 1987. p. 794–9. [61] Lafhaj Z, Shahrour I. Use of the boundary element method for the analysis of permeability tests in boreholes. Eng Anal Boundary Elements 2000;24:695–8. [62] Pan E, Maier G. A symmetric integral approach to transient poroelastic analysis. Comput Mech 1997;19:169–78 *. [63] Elzein AH. Heat sources in non-homogeneous rock media by boundary elements. Proceedings of Geotechnical Engineering, Sydney, Australia, 2000. [64] Ghassemi A, Cheng AHD, Diek A, Roegiers JC. A complete plane strain fictitious stress boundary element method for poroelastic media. Eng Anal Boundary Elements 2001;25:41–8. [65] Kuriyama K, Mizuta Y. Three-dimensional elastic analysis by the displacement discontinuity method with boundary division into triangle leaf elements. Int J Rock Mech Min Sci Geomech. Abstr 1993;30(2):111–23. [66] Kuriyama K, Mizuta Y, Mozumi H, Watanabe T. Threedimensional elastic analysis by the boundary element method with analytical integrations over triangle leaf elements. Int J Rock Mech Min Sci Geomech Abstr 1995;32(1):77–83. [67] Cayol Y, Cornet FH. 3D mixed boundary elements for elastostatic deformation field analysis. Int J Rock Mech Min Sci 1997;34(2):275–87. [68] Crouch SL. Solution of plane elasticity problems by the displacement discontinuity method. Int J Numer Methods Eng 1976;10:301–43 *. [69] Shen B. Mechanics of fractures, intervening bridges in hard rocks. Ph. D. thesis, Royal Institute of Technology, Stockholm, Sweden, 1991*. [70] Weaver J. Three dimensional crack analysis. Int J Solids Struct 1977;13:321–30 *. [71] La Pointe PR, Cladouhos T, Follin S. Calculation of displacement on fractures intersecting canisters induced by earthquakes: Aberg, Beberg and Ceberg examples. Technical Report of Swedish Nuclear Fuel and Waste Management Co. (SKB), SKB TR-99-03, 1999. [72] Blandford GE, Ingraffea AR, Ligget JA. Two-dimensional stress intensity factor computations using the boundary element method. Int J Num Methods Eng 1981;17:387–406. [73] Portela A. Dual boundary element incremental analysis of crack growth. Ph.D. thesis, Wessex Institute of Technology, Portsmouth University, Southampton, UK, 1992*. [74] Mi Y, Aliabadi MH. Dual boundary element method for threedimensional fracture mechanics analysis. Eng Anal Boundary Elements 1992;10:161–71. [75] Yamada Y, Ezawa Y, Nishiguchi I. Reconsiderations on singularity or crack tip elements. Int J Numer Methods Eng 1979;14:1525–44. [76] Aliabadi MH, Rooke DP. Numerical fracture mechanics. Southampton: Computational Mechanics Publications. Dordrecht: Kluwer Academic Publishers, 1991.
L. Jing, J.A. Hudson / International Journal of Rock Mechanics & Mining Sciences 39 (2002) 409–427 421 [77] Bonnet M, Maier G, Polizzotto C. Symmetric Galerkin boundary element methods. Appl Mech Rev 1998;51(11): 669–704 **. [78] Wang J, Mogilevskaya SG, Crouch SL. A Galerkin boundary integral method for non-homogenous materials with crack. In: Elsworth, Tunicci, Heasley, editors. Rock mechanics in the national interest. Rotterdam: Balkema, 2001. p. 1453–60*. [79] Brebbia CA, Telles JCF, Wrobel LC. Boundary element techniques: theory & applications in engineering. Berlin: Springer, 1984 *. [80] Partridge PW, Brebbia CA, Wrobel LC. The dual reciprocity boundary element method. Southampton and Boston: Computational Mechanics Publications and Elsevier, 1992 *. [81] El Harrouni K, Ouazar D, Wrobel LC, Cheng AHD. Groundwater parameter estimation by optimazation and DRBEM. Eng Anal Boundary Elements 1997;19:97–103. [82] Burman BC. A numerical approach to the mechanics of discontinua. Ph.D. thesis, James Cook University of North Qeensland, Townsville, Australia, 1971. [83] Cundall PA. A computer model for simulating progressive, large scale movements in blocky rock systems. Proceedings of the International Symposium on Rock Fracture, vol.1. PaperII-8, ISRM, Nancy, 1971*. [84] Chappel BA. The mechanics of blocky material. Ph.D. thesis, Australia National University, Canberra, 1972. [85] Byrne RJ. Physical and numerical model in rock and soil-slope stability. Ph.D. thesis, James Cook University of North Qeensland, Townsville, Australia, 1974. [86] Cundall PA. UDEC—a generalized distinct element program for modelling jointed rock. Report PCAR-1-80, Peter Cundall Associates, European Research Office, US Army Corps of Engineers, 1980. [87] Cundall PA. Formulation of a three-dimensional distinct element model—Part I: a scheme to detect and represent contacts in a system composed of many polyhedral blocks. Int J Rock Mech Min Sci Geomech Abstr 1988;25(3): 107–16 **. [88] Cundall PA, Hart RD. Development of generalized 2-D and 3-D distinct element programs for modelling jointed rock. ITASCA Consulting Group, Misc. paper SL-85-1. US Army Corps of Engineers, 1985. [89] Hart RD, Cundall PA, Lemos JV. Formulation of a threedimensional distinct element method—Part II: mechanical calculations for motion and interaction of a system composed of many polyhedral blocks. Int J Rock mech Min Sci Geomech Abstr 1988;25(3):117–25 *. [90] Cundall PA, Hart RD. Numerical modelling of discontinua. In: Hudson JA, editor. Comprehensive rock engineering, vol. 2. Oxford: Pergamon Press, 1993. p. 231–43 *. [91] ITASCA Consulting Group, Inc. UDEC Manual, 1992. [92] ITASCA Consulting Group, Inc. 3DEC Manual, 1994. [93] Lemos JV. A hybrid distinct element computational model for the half-plane. M.Sc. thesis, Dept. Civ. Engng, University of Minnesota, 1987*. [94] Taylor LM. BLOCKS—a block motion code for geomechanics studies. Research Report, SAND82-2373, DE83 009221. Sandia National Laboratories, Albuquerque, New Mexico, 1982. [95] Hocking G. Development and application of the boundary integral and rigid block method for geotechnics. Ph. D. thesis, University of London, 1977. [96] Mustoe GGW, Williams JR, Hocking G, Worgan KJ. Penetration and fracturing of brittle plates under dynamic impact. Proceedings of NUMETA’87, Swansea, UK. Rotterdam: Balkema, 1987. [97] Kawai T, Kawabata KY, Kondou I, Kumagai K. A new discrete model for analysis of solid mechanics problems. Proceedings of the First Conference Numerical methods in Fracture Mechanics, Swansea, UK, 1978. p. 26–7*. [98] Hu Y. Block-spring-model considering large displacements and non-linear stress-strain relationships of rock joints. In: Yuan, editor. Computer methods and advances in geomechanics, vol. 1. Rotterdam: Balkema, 1997. p. 507–12. [99] Li G, Wang B. Development of a 3-D block-spring model for jointed rocks. In: Rossmanith, editor. Mechanics of jointed and faulted rock. Rotterdam: Balkema, 1998. p. 305–9. [100] Barton N. Modeling jointed rock behaviour and tunnel performance. World Tunnelling 1991;4(7):414–6. [101] Jing L, Stephansson O. Distinct element modelling of sublevel stoping. Proceedings of the Seventh International Congress of ISRM, vol. 1. Aachen, Germany, 1991. p. 741–6. [102] Nordlund E, R(adberg G, Jing L. Determination of failure modes in jointed pillars by numerical modelling. In: Myer, Cook, Goodman, Tsang, editors. Fractured and jointed rock masses. Rotterdam: Balkema, 1995. p. 345–50. [103] Chryssanthakis P, Barton N, Lorig L, Christiansson M. Numerical simulation of fibre reinforced shotcrete in a tunnel using the distinct element method. Int J Rock Mech Min Sci 1997;34(3–4), Paper 054, p590. [104] Hanssen FH, Spinnler L, Fine J. A new approach for rock mass cavability. Int J Rock Mech Min Sci Geomech Abstr 1993;30(7):1379–85. [105] Kochen R, Andrade JCO. Predicted behaviour of a subway station in weathered rock. Int J Rock Mech Min Sci 1997; 34(3–4), paper 160, p587. [106] McNearny RL, Abel JF. Large-scale two-dimensional block caving model tests. Int J Rock Mech Min Sci Geomech Abstr 1993;30(2):93–109. [107] Souley M, Hommand F, Thoraval A. The effect of joint constitutive laws on the modelling of an underground excavation and comparison with in-situ measurements. Int J Rock Mech Min Sci 1997;34(1):97–115. [108] Souley M, Hoxha D, Hommand F. The distinct element modelling of an underground excavation using a continuum damage model. Int J Rock Mech Min Sci 1997;35(4–5), Paper 026. [109] Sofianos AI, Kapenis AP. Numerical evaluation of the response in bending of an underground hard rock voussoir beam roof. J Rock Mech Min Sci 1998;35(8):1071–86. [110] Zhao J, Zhou YX, Hefny AM, Cai JG, Chen SG, Li HB, Liu JF, Jain M, Foo ST, Seah CC. Rock dynamics research related to cavern development for ammunition storage. Tunnelling Underground Space Technol 1999;14(4):513–26. [111] Cai JG, Zhao J. Effects of multiple parallel fractures on apparent attenuation of stress waves in rock mass. Int J Rock Mech Min Sci 2000;37:661–82. [112] Hansson H, Jing L, Stephansson O. 3-D DEM modelling of coupled thermo-mechanical response for a hypothetical nuclear waste repository. Proceedings of the NUMOG V—International Symposium on Numerical Models in Geomechanics, Davos, Switzerland. Rotterdam: Balkema, 1995. p. 257–62. [113] Jing L, Tsang CF, Stephansson O. DECOVALEX—an international co-operative research project on mathematical models of coupled THM processes for safety analysis of radioactive waste repositories. Int J Rock Mech Min Sci Geomech Abstr 1995;32(5):389–98 *. [114] Jing L, Hansson H, Stephansosn O, Shen B. 3D DEM study of thermo-mechanical responses of a nuclear waste repository in fractured rocks—far and near-field problems. In: Yuan, editor. Computer methods and advances in geomechanics, vol. 2. Rotterdam: Balkema, 1997. p. 1207–14. [115] Gutierrez M, Makurat A. Coupled THM modelling of cold water injection in fractured hydrocarbon reservoirs. Int J Rock Mech Min Sci 1997;34(3–4), Paper 113, p429.
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