Abstract
When simulating the directional blasting process, many researchers focus on the cutting and splitting effects who might pay more attention on the crushing effects when studying conventional cut blasting. In this case, a numerical tool capable of capturing the strong discontinuity processes of quasi-brittle materials is highly preferable, where many blasting parameters should be calibrated and inputted. In this work, a hybrid finite-discrete elements method with explicit iterative procedure named Continuous-Discontinuous Elements Method (CDEM) is adopted to study the directional rock blasting processes. Landau model is used to capture the detonation effects, where the parameters are calibrated by comparing to the results provided by published literatures. We found that: i) The crack propagation mode of directional rock blasting is similar to those found in Brazilian splitting tests where the crack initiates from the midpoint of the connecting line of blast holes; ii) Compared with traditional cut blasting, the free surface has no significant influence on the blasting effect of directional cut blasting, while the spacing of the hole has great influence on the cutting effect. The index of fracture degree can be used to evaluate the blasting effect quantitatively. This work partly reveals some cracking patterns and rules of directional rock blasting, which may assist the engineers to develop improved precise blasting technologies.
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References
Areias P, Rabczuk T, Dias-da-Costa D (2013) Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics 110:113–137, DOI: https://doi.org/10.1016/j.engfacmech.2013.06.006
Areias P, Reinoso J, Camanho P, Rabczuk T (2015) A constitutive-based element-by-element crack propagation algorithm with local mesh refinement. Computational Mechanics 56:291–315, DOI: https://doi.org/10.1007/s00466-015-1172-z
Bhagat NK, Mishra AK, Singh MM, Rana A, Singh PK (2020) Innovative directional controlled blasting technique for excavation of unstable slopes along a busy trans- portation route: A case study of konkan railway in India. Mining, Metallurgy & Exploration 37(3):833–850, DOI: https://doi.org/10.1007/s42461-020-00212-x
Cho S, Nakamura Y, Mohanty B, Yang H, Kaneko K (2008) Numerical study of fracture plane control in laboratory-scale blasting. Engineering Fracture Mechanics 75(13):3966–3984, DOI: https://doi.org/10.1016/j.engfacmech.2008.02.007
Fei H, Gilles L (2011) Coupling of nonlocal and local continuum models by the arlequin approach. International Journal for Numerical Methods in Engineering 89(6):671–685, DOI: https://doi.org/10.1002/nme.3255
Hu XD, Zhao GF, Deng XF, Hao YF, Fan LF, Ma GW, Zhao J (2018) Application of the four-dimensional lattice spring model for blasting wave propagation around the underground rock cavern. Tunnelling and Underground Space Technology 82:135–147, DOI: https://doi.org/10.1016/j.tust.2018.08.006
Jiao Y, Zhang X, Zhao J, Liu Q (2007) Viscous boundary of DDA for modeling stress wave propagation in jointed rock. International Journal of Rock Mechanics and Mining Sciences 44(7):1070–1076, DOI: https://doi.org/10.1016/j.ijrmms.2007.03.001
Li Y, Feng C, Ding C, Zhang Y (2022) A novel continuous-discontinuous multi-field numerical model for rock blasting. Applied Sciences 12(21), DOI: https://doi.org/10.3390/app122111123
Li WJ, Zhu QZ, Ni T (2020) A local strain-based implementation strategy for the extended peridynamic model with bond rotation. Computer Methods in Applied Mechanics and Engineering 358:112625, DOI: https://doi.org/10.1016/j.cma.2019.112625
Mejia Sanchez EC, Paullo Munoz LF, Roehl D (2020) Discrete fracture propagation analysis using a robust combined continuation method. International Journal of Solids and Structures 193–194:405–417, DOI: https://doi.org/10.1016/j.ijsolstr.2020.02.002
Miehe C, Schänzel LM, Ulmer H (2015) Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids. Computer Methods in Applied Mechanics and Engineering 294:449–485, DOI: https://doi.org/10.1016/j.cma.2014.11.016
Mu L, Zhang Y (2020) Cracking elements method with 6-node triangular element. Finite Elements in Analysis and Design 177:103421, DOI: https://doi.org/10.1016/j.finel.2020.103421
Nakamura Y (1999) Model experiments on effectiveness of fracture plane control methods in blasting. Fragblast 3(1):59–78, DOI: https://doi.org/10.1080/13855149909408034
Nikolić M, Karavelić E, Ibrahimbegovic A, Mišc̆ević P (2018) Lattice element models and their peculiarities. Archives of Computational Methods in Engineering 25(3):753–784, DOI: https://doi.org/10.1007/s11831-017-9210-y
Rabczuk T, Belytschko T (2004) Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 61:2316–2343, DOI: https://doi.org/10.1002/nme.1151
Rabczuk T, Belytschko T (2007) A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering 196:2777–2799, DOI: https://doi.org/10.1016/j.cma.2006.06.020
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 199:2437–2455, DOI: https://doi.org/10.1016/j.cma.2010.03.031
Wu JY (2017) A unified phase-field theory for the mechanics of damage and quasi-brittle failure. Journal of the Mechanics and Physics of Solids 103:72–99, DOI: https://doi.org/10.1016/j.jmps.2017.03.015
Wu JY, Nguyen VP (2018) A length scale insensitive phase-field damage model for brittle fracture. Journal of the Mechanics and Physics of Solids 119:20–42, DOI: https://doi.org/10.1016/j.jmps.2018.06.006
Wu Z, Sun H, Wong LNY (2019) A cohesive element-based numerical manifold method for hydraulic fracturing modelling with voronoi grains. Rock Mechanics and Rock Engineering 52:2335–2359, DOI: https://doi.org/10.1007/s00603-018-1717-5
Xu P, Yang R Zuo J, Ding C, Chen C, Guo Y, Fang S, Zhang Y (2022) Research progress of the fundamental theory and technology of rock blasting. International Journal of Minerals, Metallurgy and Materials 29(4):705–716, DOI: 10. https://doi.org/10.1007/s12613-022-2464-x
Xue H, Gao Y, Zhang X, Tian X, Wang H, Yuan D (2019) Directional blasting fracturing technology for the stability control ofkey strata in deep thick coal mining. Energies 12(24), DOI: https://doi.org/10.3390/en12244665
Yang Y, Sun G, Zheng H, Fu X (2016) A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis. Computers and Structures 177:69–82, DOI: https://doi.org/10.1016/j.compstruc.2016.08.008
Yue Z, Zhou J, Feng C, Wang X, Peng L, Cong J (2022) Coupling of material point and continuum discontinuum element methods for simulating blast-induced fractures in rock. Computers and Geotechnics 144:104629, DOI: https://doi.org/10.1016/j.compgeo.2021.104629
Zhang Y, Huang J, 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 Y, Lackner R, Zeiml M, Mang H (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 Y, Mang HA (2020) Global cracking elements: A novel tool for Galerkin-based approaches simulating quasi-brittle fracture. International Journal for Numerical Methods in Engineering 121:2462–2480, DOI: https://doi.org/10.1002/nme.6315
Zhang Y, Wang X, Wang X, Mang HA (2022) Virtual displacement based discontinuity layout optimization. International Journal for Numerical Methods in Engineering 123(22):5682–5694, DOI: https://doi.org/10.1002/nme.7084
Zhang Y, Yang X, Wang X, Zhuang X (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.tafhiec.2021.102930
Zhang Y, Zhuang X (2018) Cracking elements: A self-propagating strong discontinuumity 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 Y, Zhuang X (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
Zhao L, Qiao N, Zhao Z, Zuo S, Wang X (2020) Comparative study of material point method and upper bound limit analysis in slope stability analysis. Transportation Safety and Environment 2(1):44–57, DOI: https://doi.org/10.1093/tse/tdaa002
Zheng H, Xu D (2014) New strategies for some issues of numerical manifold method in simulation of crack propagation. International Journal for Numerical Methods in Engineering 97:986–1010, DOI: https://doi.org/10.1002/nme.4620
Zhou X, Kuznetsov V, Hao H, Waschl J (2008) Numerical prediction of concrete slab response to blast loading. International Journal of Impact Engineering 35(10):1186–1200, DOI: https://doi.org/10.1016/j.ijimpeng.2008.01.004
Zhu X, Feng C, Cheng P, Wang X, Li S (2021) A novel three-dimensional hydraulic fracturing model based on continuum–discontinuum element method. Computer Methods in Applied Mechanics and Engineering 383:113887, DOI: https://doi.org/10.1016/j.cma.2021.113887
Acknowledgments
This research was funded by National Natural Science Foundation of China (Grant No.52178324) and National Key Research and Development Project of China, the Ministry of Science and Technology of China (Project No. 2018YFC1505504).
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Li, Y., Feng, C. & Zhang, Y. Numerical Analysis of Directional Rock Blasting with Continuous-Discontinuous Element Method. KSCE J Civ Eng 27, 3591–3598 (2023). https://doi.org/10.1007/s12205-023-0157-2
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DOI: https://doi.org/10.1007/s12205-023-0157-2