RETRACTED: Effect of joint spacing and joint dip on the stress distribution around tunnels using different numerical methods

Banerjee, 1982 Buczkowski, 1997, Elasto-plastic interface model for 3D frictional orthotropic contact problems, Int. J. Numer. Methods Eng., 40, 599, 10.1002/(SICI)1097-0207(19970228)40:4<599::AID-NME81>3.0.CO;2-H Button, 2006 Chan, 1990, A hybridized displacement discontinuity and indirect boundary element method to model fracture propagation, Int. J. Fract., 45, 263, 10.1007/BF00036271 Crouch, 1983 Cundall, 1989, Numerical modelling of discontinua Desai, 1984, Thin-layer element for interfaces and joints, Int. J. Numer. Anal. methods Geomech., 8, 19, 10.1002/nag.1610080103 Fatehi Marji, 2013, On the use of power solution method in crack analysis of brittle materials by indirect boundary element method, Eng. Fract. Mech., 98, 365, 10.1016/j.engfracmech.2012.11.015 Fatehi Marji, 2014, Numerical analysis of quasi-static crack branching in brittle solids by a modified displacement discontinuity method, Int. J. Solids Struct., 51, 1716, 10.1016/j.ijsolstr.2014.01.022 Fatehi Marji, 2010, Kinked crack analysis by a hybridized boundary element/boundary collocation method, Int. J. Solids Struct., 47, 922, 10.1016/j.ijsolstr.2009.12.008 Fatehi Marji, 2005, Application of higher order displacement discontinuity method using special crack tip elements in rock fracture mechanics, 699 Fatehi Marji, 2006, On the uses of special crack tip elements in numerical rock fracture mechanics, Int. J. Solids Struct., 43, 1669, 10.1016/j.ijsolstr.2005.04.042 Fotoohi, 1996, Non-linear fault behavior near underground excavations-A boundary element approach, Int. J. Numer. Anal. Methods Geomech., 20, 173, 10.1002/(SICI)1096-9853(199603)20:3<173::AID-NAG814>3.0.CO;2-H Ghaboussi, 1973, Flow of compressible fluid in porous elastic media, Int. J. Numer. Methods Eng., 5, 419, 10.1002/nme.1620050311 Goodman, 1968, A model for the mechanics of jointed rock, J. Soil Mech. Found. Div., 637, 10.1061/JSFEAQ.0001133 Goricki, 2005, The influence of discontinuity orientation on the behaviour of tunnels, FELSBAU, 23 Haeri, 2016, Propagation mechanism of neighboring cracks in rock-like cylindrical specimens under uniaxial compression, J. Min. Sci., 51, 487 Haeri, 2014, Cracks coalescence mechanism and cracks propagation paths in rock-like specimens containing pre-existing random cracks under compression, J. Cent. South Univ., 21, 2404, 10.1007/s11771-014-2194-y Haeri, 2015, On the HDD analysis of micro crack initiation, propagation and coalescence in brittle materials, Arab. J. Geosci., 8, 2841, 10.1007/s12517-014-1290-5 Haeri, 2015, Exprimental and numerical simulation of the microcrack coalescence mechanism in rock-like materials, Strength Mater., 47, 740, 10.1007/s11223-015-9711-6 Haeri, 2015, A coupled experimental and numerical simulation of rock slope joints behavior, Arab. J. Geosci., 8, 7297, 10.1007/s12517-014-1741-z Itasca Consulting Group, 1989 Itasca Consulting Group, 2002 Jia, 2008, Numerical study on failure mechanism of tunnel in jointed rock mass, Tunn. Undergr. Sp. Technol., 23, 500, 10.1016/j.tust.2007.09.001 Jing, 2003, A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering, Int. J. Rock Mech. Min. Sci., 40, 283, 10.1016/S1365-1609(03)00013-3 Jing, 2002, Numerical methods in rock mechanics, Int. J. Rock Mech. Min. Sci., 39, 409, 10.1016/S1365-1609(02)00065-5 Lee, 2003 Napier, 1993, Application of the displacement discontinuity method to the modelling of crack growth around openings in layered media, 947 Nikadat, 2014 Nikadat, 2016 Nikadat, 2015, Numerical modelling of stress analysis around rectangular tunnels with large discontinuities (fault) by a hybridized indirect BEM, J. Cent. South Univ., 22, 4291, 10.1007/s11771-015-2977-9 Palassi, 2007, Tunnel design using continuum and discontinuum approaches and the effect of joint orientation on the design, Electron. J. Geotech. Eng., 12 Ritz, 2012, Integrating complementarity into the 2D displacement discontinuity boundary element method to model faults and fractures with frictional contact properties, Comput. Geosci., 45, 304, 10.1016/j.cageo.2011.11.017 Phase 2. V.8. Rocscience Corporation., 2011. Toronto,Canada. Salamon, 1963, Elastic analysis of displacements and stresses induced by the mining of seam or reef deposits, J. South Afr. Inst. Min. Metall., 64, 128 Salamon, 1968, Two-dimensional treatment of problems arising from mining tabular deposits in isotropic or transversely isotropic ground, Int. J. Rock Mech. Min. Sci., 5, 159, 10.1016/0148-9062(68)90032-6 Shou, 2000, A superposition scheme to obtain fundamental boundary element solutions in multi-layered elastic media, Int. J. Numer. Anal. Methods. Geomech., 24, 795, 10.1002/1096-9853(20000825)24:10<795::AID-NAG99>3.0.CO;2-L Shou, 2006, Boundary element analysis of tunnelling through a weak zone, J. Geoengin., 1, 25 Tonon, 2000 Tonon, 2003, Stresses in anisotropic rock masses: an engineering perspective building on geological knowledge, Int. J. Rock Mech. Min. Sci., 40, 1099, 10.1016/j.ijrmms.2003.07.009 Tsesarsky, 2006, Tunnel roof deflection in blocky rock masses as a function of joint spacing and friction – a parametric study using discontinuous deformation analysis (DDA), Tunn. Undergr. Sp. Technol., 21, 29, 10.1016/j.tust.2005.05.001 Wang, 2003, Numerical analysis of the stability of heavily jointed rock slopes using PFC2D, Int. J. Rock Mech. Min. Sci., 40, 415, 10.1016/S1365-1609(03)00004-2 Wittke, 1990