Abstract
TBMs rely on the cutters to directly cut into the rock surface for excavation. The design of the disc cutter parameters can significantly affect the TBM’s tunneling performance. In this study, a three-dimensional numerical model of a TBM disc cutter cutting Chongqing sandstone is established by the FEM-CZM coupling method, and verified with laboratory tests. The mechanical characteristics of rock breaking using a disc cutter and rock crack propagation laws were investigated. An orthogonal test was designed to analyze cutter parameter optimization under multiple factors (blade width, blade angle, penetration, and cutting speed). The results show that the force of cutter during the cutting process increases as the blade width and angle increase. Cracks that extend laterally in the rock are more sensitive to the blade angle, and the choice of blade angle needs to be taken into account when designing the cutter spacing. The degree of influence of each factor on rock-breaking efficiency is as follows: penetration > cutting speed > blade angle > blade width. The design of the cutter parameters should give priority to determining the optimum penetration depth, other parameters can be changed to meet the energy consumption and wear requirements of different engineering geologies.
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References
Abaqus (2018) Defining the constitutive response of cohesive elements using a traction-separation description. Retrieved October 15, 2021, https://help.3ds.com/2018/english/DSSIMULIA_Established/SIMACAEELMRefMap/simaelm-c-cohesivebehavior.htm
Acaroglu O, Ozdemir L, Asbury B (2008) A fuzzy logic model to predict specific energy requirement for TBM performance prediction. Tunnelling and Underground Space Technology 23(5):600–608, DOI: https://doi.org/10.1016/j.tust.2007.11.003
Balci C, Tumaç D (2012) Investigation into the effects of different rocks on rock cuttability by a V-type disc cutter. Tunnelling and Underground Space Technology 30:183–193, DOI: https://doi.org/10.1016/j.tust.2012.02.018
Barla M, Piovano G, Grasselli G (2012) Rock slide simulation with the combined finite-discrete element method. International Journal of Geomechanics 12(6):711–721, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0000204
Bilgin N, Demircin MA, Copur H, Balci C, Tuncdemir H, Akcin N (2006) Dominant rock properties affecting the performance of conical picks and the comparison of some experimental and theoretical results. International Journal of Rock Mechanics and Mining Sciences 43(1):139–156, DOI: https://doi.org/10.1016/j.ijrmms.2005.04.009
Bobet A, Einstein HH (1998) Fracture coalescence in rock-type materials under uniaxial and biaxial compression. International Journal of Rock Mechanics and Mining Sciences 35(7):863–888, DOI: https://doi.org/10.1016/S0148-9062(98)00005-9
Chang SH, Choi SW, Bae GJ, Jeon S (2006) Performance prediction of TBM disc cutting on granitic rock by the linear cutting test. Tunnelling and Underground Space Technology 21(3):271, DOI: https://doi.org/10.1016/j.tust.2005.12.131
Chang X, Guo T, Zhang S (2020) Cracking behaviours of layered specimen with an interface crack in Brazilian tests. Engineering Fracture Mechanics 228:106904, DOI: https://doi.org/10.1016/j.engfracmech.2020.106904
Cho JW, Jeon S, Jeong HY, Chang SH (2013) Evaluation of cutting efficiency during TBM disc cutter excavation within a Korean granitic rock using linear-cutting-machine testing and photogrammetric measurement. Tunnelling and Underground Space Technology 35: 37–54, DOI: https://doi.org/10.1016/j.tust.2012.08.006
Cho JW, Jeon S, Yu SH, Chang SH (2010) Optimum spacing of TBM disc cutters: A numerical simulation using the three-dimensional dynamic fracturing method. Tunnelling and Underground Space Technology 25(3):230–244, DOI: https://doi.org/10.1016/j.tust.2009.11.007
Fakhimi A, Lanari M (2014) DEM—SPH simulation of rock blasting. Computers and Geotechnics 55:158–164, DOI: https://doi.org/10.1016/j.compgeo.2013.08.008
Fan LF, Wu ZJ, Wan Z, Gao JW (2017) Experimental investigation of thermal effects on dynamic behavior of granite. Applied Thermal Engineering 125:94–103, DOI: https://doi.org/10.1016/j.applthermaleng.2017.07.007
Gertsch R, Gertsch L, Rostami J (2007) Disc cutting tests in colorado red granite: Implications for TBM performance prediction. International Journal of Rock Mechanics and Mining Sciences 44(2):238–246, DOI: https://doi.org/10.1016/j.ijrmms.2006.07.007
Gong QM, Jiao YY, Zhao J (2006) Numerical modelling of the effects of joint spacing on rock fragmentation by TBM cutters. Tunnelling and Underground Space Technology 21(1):46–55, DOI: https://doi.org/10.1016/j.tust.2005.06.004
Gong QM, Zhao J, Jiao YY (2005) Numerical modeling of the effects of joint orientation on rock fragmentation by TBM cutters. Tunnelling and Underground Space Technology 20(2):183–191, DOI: https://doi.org/10.1016/j.tust.2004.08.006
Huang H, Lecampion B, Detournay E (2013) Discrete element modeling of tool-rock interaction I: Rock cutting. International Journal for Numerical and Analytical Methods in Geomechanics 37(13):1913–1929, DOI: https://doi.org/10.1002/nag.2113
Jiang H, Cai Z, Zhao H (2020) Numerical study of hard rock breakage under indenter impact by the hybrid FDEM. Engineering Fracture Mechanics 233:107068, DOI: https://doi.org/10.1016/j.engfracmech.2020.107068
Jiang H, Liu Z, Gao K (2017) Numerical simulation on rock fragmentation by discontinuous water-jet using coupled SPH/FEA method. Powder Technology 312:248–259, DOI: https://doi.org/10.1016/j.powtec.2017.02.047
Jiang H, Meng D (2018) 3D numerical modelling of rock fracture with a hybrid finite and cohesive element method. Engineering Fracture Mechanics 199:280–293, DOI: https://doi.org/10.1016/j.engfracmech.2018.05.037
Jonak J, Podgórski J (2001) Mathematical model and results of rock cutting modeling. Journal of Mining Science 37(6):615–618, DOI: https://doi.org/10.1023/A:1016034805831
Jun L, Zai WB, Cheng CW, Liu GH, Zhou YC (2021) Research on random propagation method of hydraulic fracture based on zero-thickness cohesive element. Rock Soil Mech 42:265–279, DOI: https://doi.org/10.16285/j.rsm.2020.5805
Kou S, Kiu H, Lindqvist PA, Tang CA (2004) Rock fragmentation mechanisms induced by a drill bit. International Journal of Rock Mechanics and Mining Sciences 41:527–532, DOI: https://doi.org/10.1016/j.ijrmms.2004.03.094
Labra C, Rojek J, Onate E (2017) Discrete/finite element modelling of rock cutting with a TBM disc cutter. Rock Mechanics and Rock Engineering 50(3):621–638, DOI: https://doi.org/10.1007/s00603-016-1133-7
Lawn BR (1998) Indentation of ceramics with spheres: A century after Hertz. Journal of the American Ceramic Society 81(8):1977–1994, DOI: https://doi.org/10.1111/j.1151-2916.1998.tb02580.x
Lawn BR, Evans AG (1977) A model for crack initiation in elastic/plastic indentation fields. Journal of Materials Science 12(11):2195–2199, DOI: https://doi.org/10.1007/BF00552240
Lawn BR, Evans AG, Marshall DB (1980) Elastic/plastic indentation damage in ceramics: The median/radial crack system. Journal of the American Ceramic Society 63(9–10):574–581, DOI: https://doi.org/10.1111/j.1151-2916.1980.tb10768.x
Lawn BR, Fuller ER (1975) Equilibrium penny-like cracks in indentation fracture. Journal of Materials Science 10(12):2016–2024, DOI: https://doi.org/10.1007/BF00557479
Liu HY, Kou SQ, Lindqvist PA, Tang CA (2002) Numerical simulation of the rock fragmentation process induced by indenters. International Journal of Rock Mechanics and Mining Sciences 39(4):491–505, DOI: https://doi.org/10.1016/S1365-1609(02)00043-6
Ma GW, Wang XJ, Ren F (2011) Numerical simulation of compressive failure of heterogeneous rock-like materials using SPH method. International Journal of Rock Mechanics and Mining Sciences 48(3):353–363, DOI: https://doi.org/10.1016/j.ijrmms.2011.02.001
Menezes PL (2016) Influence of friction and rake angle on the formation of built-up edge during the rock cutting process. International Journal of Rock Mechanics and Mining Sciences 88:175–182, DOI: https://doi.org/10.1016/j.ijrmms.2016.07.013
Menezes PL, Lovell MR, Avdeev IV, Higgs III CF (2014) Studies on the formation of discontinuous rock fragments during cutting operation. International Journal of Rock Mechanics and Mining Sciences 71:131–142, DOI: https://doi.org/10.1016/j.ijrmms.2014.03.019
Moslemi M, Khoshravan M (2015) Cohesive zone parameters selection for mode-i prediction of interfacial delamination. Strojniski Vestnik/Journal of Mechanical Engineering 61(9):507–516, DOI: https://doi.org/10.5545/sv-jme.2015.2521
Nardin A, Schrefler B (2004) Numerical simulation of rock behaviour through a discrete model. International Journal of Solids and Structures 41(21):5945–5965, DOI: https://doi.org/10.1016/j.ijsolstr.2004.05.071
Onate E, Rojek J (2004) Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems. Computer Methods in Applied Mechanics and Engineering 193(27–29):3087–3128, DOI: https://doi.org/10.1016/j.cma.2003.12.056
Pan Y, Liu Q, Liu J, Liu Q, Kong X (2018a) Full-scale linear cutting tests in Chongqing Sandstone to study the influence of confining stress on rock cutting efficiency by TBM disc cutter. Tunnelling and Underground Space Technology 80:197–210, DOI: https://doi.org/10.1016/j.tust.2018.06.013
Pan Y, Liu Q, Liu J, Peng X, Kong X (2018b) Full-scale linear cutting tests in Chongqing Sandstone to study the influence of confining stress on rock cutting forces by TBM disc cutter. Rock Mechanics and Rock Engineering 51(6):1697–1713, DOI: https://doi.org/10.1007/s00603-018-1412-6
Rabczuk T, Belytschko T (2004) Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 61(13):2316–2343, DOI: https://doi.org/10.1002/nme.1151
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H (2010) A simple and robust three-dimensional cracking-particle Method without Enrichment. Computer Methods in Applied Mechanics and Engineering 199(37–40):2437–2455, DOI: https://doi.org/10.1016/j.cma.2010.03.031
Sanio HP (1985) Prediction of the performance of disc cutters in anisotropic rock. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts Pergamon 22(3):153–161, DOI: https://doi.org/10.1016/0148-9062(85)93229-2
Su X, Yang Z, Liu G (2010) Finite element modelling of complex 3D static and dynamic crack propagation by embedding cohesive elements in Abaqus. Acta Mechanica Solida Sinica 23(3):271–282, DOI: https://doi.org/10.1016/S0894-9166(10)60030-4
Taleghani AD, Gonzalez-Chavez M, Yu H, Asala H (2018) Numerical simulation of hydraulic fracture propagation in naturally fractured formations using the cohesive zone model. Journal of Petroleum Science and Engineering 165:42–47, DOI: https://doi.org/10.1016/j.petrol.2018.01.063
Wang F, Liu S, Ji K (2020) Numerical study on abrasive machining of rock using FDEM method. Simulation Modelling Practice and Theory 104:102145, DOI: https://doi.org/10.1016/j.simpat.2020.102145
Wang H, Wu YH, Sun H, Wang TY, Zhao KJ (2010a) Characteristics analysis of TBM disc cutter ring. In Advanced Materials Research. Trans Tech Publications Ltd, 102:219–222, DOI: https://doi.org/10.4028/www.scientific.net/AMR.102-104.219
Wang TY, Zhang K, Sun H, Wu YH, Zhao KJ (2010b) Analysis on the stress and failures of disc cutter of full face rock tunnel boring machine. Advanced Materials Research. Trans Tech Publications Ltd, 102:223–226, DOI: https://doi.org/10.4028/www.scientific.ne1/AMR.102-104.223
Wu Z, Ma L, Fan L (2018) Investigation of the characteristics of rock fracture process zone using coupled FEM/DEM method. Engineering Fracture Mechanics 200:355–374, DOI: https://doi.org/10.1016/j.engfracmech.2018.08.015
Xia YM, Guo B, Cong GQ, Zhang XH, Zeng GY (2017) Numerical simulation of rock fragmentation induced by a single TBM disc cutter close to a side free surface. International Journal of Rock Mechanics and Mining Sciences 91:40–48, DOI: https://doi.org/10.1016/j.ijrmms.2016.11.004
Xiao N, Zhou XP, Gong QM (2017) The modelling of rock breakage process by TBM rolling cutters using 3D FEM-SPH coupled method. Tunnelling and Underground Space Technology 61:90–103, DOI: https://doi.org/10.1016/j.tust.2016.10.004
Zhang YM, Gao ZR, Li YY, Zhuang XY (2020a) On the crack opening and energy dissipation in a continuum based disconnected crack model. Finite Elements in Analysis and Design 170:103333, DOI: https://doi.org/10.1016/j.finel.2019.103333
Zhang YM, Huang JG, Yuan Y, Mang HA (2021a) Cracking elements method with a dissipation-based arc-length approach. Finite Elements in Analysis and Design 195:103573, DOI: https://doi.org/10.1016/j.finel.2021.103573
Zhang YM, Mang HA (2020) Global cracking elements: A novel tool for galerkin-based approaches simulating quasi-brittle fracture. International Journal for Numerical Methods in Engineering 121(11): 2462–2480, DOI: https://doi.org/10.1002/nme.6315
Zhang YM, Roman L, Matthias Z, Mang HA (2015) Strong discontinuity embedded approach with standard SOS formulation: Element Formulation, energy-based crack-tracking Strategy, and Validations, Computer Methods in Applied Mechanics and Engineering 287:335–366, DOI: https://doi.org/10.1016/j.cma.2015.02.001
Zhang S, Wang G, Jiang Y, Wu X, Li G, He P, Sun L (2020b) Study on shear mechanism of bolted jointed rocks: Experiments and CZM-based FEM simulations. Applied Sciences 10(1):62, DOI: https://doi.org/10.3390/app10010062
Zhang YM, Yang XQ, Wang XY, Zhuang XY (2021b) A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements. Theoretical and Applied Fracture Mechanics 113:102930, DOI: https://doi.org/10.1016/j.tafmec.2021.102930
Zhang YM, Zhuang XY (2018) Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle Fracture. Finite Elements in Analysis and Design 144:84–100, DOI: https://doi.org/10.1016/j.finel.2017.10.007
Zhang YM, Zhuang XY (2019) Cracking elements method for dynamic brittle fracture. Theoretical and Applied Fracture Mechanics 102:1–9, DOI: https://doi.org/10.1016/j.tafmec.2018.09.015
Zhang ZQ, Zhang KJ, Dong WJ (2021c) Experimental investigation on the influence factors on TBM cutter wear based on composite abrasion test. Rock Mechanics and Rock Engineering 54(12):6533–6547, DOI: https://doi.org/10.1007/s00603-021-02621-w
Zhao JL, Zhu XY, Hou ZH, Liu C, Yang S, Xiao X (2021) Design and finite element analysis of a variable cross-section cutter ring. Simulation Modelling Practice and Theory 102423, DOI: https://doi.org/10.1016/j.simpat.2021.102423
Acknowledgments
This research was supported by the National Natural Science Foundation of China — National Railway Group Co., Ltd. High-speed Railway Basic Research Joint Fund (U1934213), the Science and Technology Program of Nanchang Urban Rail Group Co., Ltd of China (2019HGKYB003).
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Zhang, K., Liu, Q. & Zhang, Z. Simulation of Rock Breaking Based on FEM-CZM Method and Its Application in Disc Cutter Parameter Optimization. KSCE J Civ Eng 27, 384–398 (2023). https://doi.org/10.1007/s12205-022-1050-0
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DOI: https://doi.org/10.1007/s12205-022-1050-0