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Abstract
It is important to calibrate micro-parameters for applying partied flow code (PFC) to study mechanical characteristics and failure mechanism of rock materials. Uniform design method is firstly adopted to determine the microscopic parameters of parallel-bonded particle model for three-dimensional discrete element particle flow code (PFC3D). Variation ranges of microscopic of the microscopic parameters are created by analyzing the effects of microscopic parameters on macroscopic parameters (elastic modulus E, Poisson ratio v, uniaxial compressive strength σc, and ratio of crack initial stress to uniaxial compressive strength σci/σc) in order to obtain the actual uniform design talbe. The calculation equations of the microscopic and macroscopic parameters of rock materials can be established by the actual uniform design table and the regression analysis and thus the PFC3D microscopic parameters can be quantitatively determined. The PFC3D simulated results of the intact and pre-cracked rock specimens under uniaxial and triaxial compressions (including the macroscopic mechanical parameters, stress–strain curves and failure process) are in good agreement with experimental results, which can prove the validity of the calculation equations of microscopic and macroscopic parameters.
Keywords
quantitative relationship of microscopic and macroscopic parameters
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uniform design method
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three-dimensional particle flow code (PFC3D)
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rock
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Zhuo Li, Qiu-hua Rao.
Quantitative determination of PFC3D microscopic parameters.
Journal of Central South University, 2021, 28(3): 911-925 DOI:10.1007/s11771-021-4653-6
| [1] |
DuanK, KwokC Y, ThamL G. Micromechanical analysis of the failure process of brittle rock [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39(6): 618-634
|
| [2] |
HuangY-h, YangS-q, ZhaoJian. Three-dimensional numerical simulation on triaxial failure mechanical behavior of rock-like specimen containing two unparallel fissures [J]. Rock Mechanics and Rock Engineering, 2016, 49(12): 1-19
|
| [3] |
SarfaraziV, HaeriH, ShemiraniA B, HedayatA, HosseiniS S. Investigation of ratio of TBM disc spacing to penetration depth in rocks with different tensile strengths using PFC2D [J]. Computers and Concrete, 2017, 20(4): 429-437
|
| [4] |
ChenS J, YinD W, JiangN, WangF, GuoW J. Simulation study on effects of loading rate on uniaxial compression failure of composite rock-coal layer [J]. Geomechanics and Engineering, 2019, 17(4): 333-342
|
| [5] |
LiuG, SunW-c, LowingerS M, ZhangZ-h, HuangM, PengJun. Coupled flow network and discrete element modeling of injection-induced crack propagation and coalescence in brittle rock [J]. Acta Geotechnica, 2019, 14(13): 843-868
|
| [6] |
YinP-f, YangS-qi. Discrete element modeling of strength and failure behavior of transversely isotropic rock under uniaxial compression [J]. Journal of the Geological Society of India, 2019, 93(2): 235-246
|
| [7] |
SaadatM, TaheriA. A numerical study to investigate the influence of surface roughness and boundary condition on the shear behaviour of rock joints [J]. Bulletin of Engineering Geology and the Environment, 2020, 19(5): 2483-2498
|
| [8] |
CaoR H, CaoP, LinH, PuC Z, OuK. Mechanical behavior of brittle rock-like specimens with pre-existing fissures under uniaxial loading: Experimental studies and particle mechanics approach [J]. Rock Mechanics and Rock Engineering, 2016, 49(3): 763-783
|
| [9] |
WuS-c, XuX-liang. A study of three intrinsic problems of the classic discrete element method using flat-joint model [J]. Rock Mechanics and Rock Engineering, 2016, 49(5): 1813-1830
|
| [10] |
PotyondyD O. The bonded-particle model as a tool for rock mechanics research and application: Current trends and future directions [J]. Geosystem Engineering, 2015, 18(1): 1-28
|
| [11] |
HuangC-c, YangW-d, DuanK, FangL-d, WangL, BoC-jie. Mechanical behaviors of the brittle rock-like specimens with multi-non-persistent joints under uniaxial compression [J]. Construction and Building Materials, 2019, 220: 426-443
|
| [12] |
JuY, SunH-f, XingM-x, WangX-f, ZhengJ-tao. Numerical analysis of the failure process of soil-rock mixtures through computed tomography and PFC3D models [J]. International Journal of Coal Science Technology, 2018, 5(2): 126-141
|
| [13] |
WangX, TianL-gang. Mechanical and crack evolution characteristics of coal-rock under different fracture-hole conditions: A numerical study based on particle flow code [J]. Environmental Earth Sciences, 2018, 77(8): 1-10
|
| [14] |
YangS Q, TianW L, HuangY H, RanjithP G, JuY. An experimental and numerical study on cracking behavior of brittle sandstone containing two non-coplanar fissures under uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2016, 49(4): 1497-1515
|
| [15] |
TawadrousA S, DegagneD, PierceM, Mas IvarsD. Prediction of uniaxial compression PFC3D model micro-properties using artificial neural networks [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(18): 1953-1962
|
| [16] |
SunM J, TangH M, HuX L, GeY F, LuS. Microparameter prediction for a triaxial compression PFC3D model of rock using full factorial designs and artificial neural networks [J]. Geotechnical and Geological Engineering, 2013, 31(4): 1249-1259
|
| [17] |
ChenP-yu. Effects of microparameters on macroparameters of flat-jointed bonded-particle materials and suggestions on trial-and-error method [J]. Geotechnical and Geological Engineering, 2017, 35(2): 663-677
|
| [18] |
CongY, WangZ-q, ZhengY-r, FengX-ting. Experimental study on microscopic parameters of brittle materials based on particle flow theory [J]. Chinese Journal of Geotechnical Engineering, 2015, 37(6): 1031-1040(in Chinese)
|
| [19] |
PENG Xia, RAO Qiu-hua, LI Zhuo, ZHANG Jie. Quantitative determination method of mesoscopic parameters of discrete elements based on spherical symmetric design [J]. Journal of Central South University (Science and Technology), 2019(11): 2801–2812. DOI: https://doi.org/10.11817/j.issn.1672-7207.2019.11.019. (in Chinese).
|
| [20] |
YoonJ. Application of experimental design and optimization to PFC model calibration in uniaxial compression simulation [J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 446: 871-889
|
| [21] |
FangK T, MaC, WinkerP, ZhangY. Uniform design: Theory and application [J]. Technometrics, 2000, 42(3): 237-248
|
| [22] |
WangY-t, ZhouX-p, XuXiao. Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics [J]. Engineering Fracture Mechanics, 2016, 163: 248-273
|
| [23] |
WangY-t, ZhouX-p, KouM-miao. Three-dimensional numerical study on the failure characteristics of intermittent fissures under compressive-shear loads [J]. Acta Geotechnica, 2019, 14(4): 1161-1193
|
| [24] |
PotyondyD O, CundallP A. A bonded-particle model for rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(8): 1329-1364
|
| [25] |
DingX, ZhangL, ZhuH, ZhangQ. Effect of model scale and particle size distribution on PFC3D simulation results [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 2139-2156
|
| [26] |
Institute of Water Resources and Hydropower Reseach, General Institute of Water Resources and Hydropower Planning and Design, Institute of Water Conservancy and Electric Power InformationThe manual of rock mechanics parameters [M], 1991, Beijing, China Water Power Press
|
| [27] |
FangK TUniform design and uniform design table [M], 1994, Beijing, Science Press
|
| [28] |
BraceW F, PauldingB WJr, ScholzC. Dilatancy in the fracture of crystalline rocks [J]. Journal of Geophysical Research, 1966, 71(16): 3939-3953
|
| [29] |
MartinC DThe strength of massive Lac du Bonnet granite around underground openings [D], 1993, Manitoba, University of Manitoba
|
| [30] |
AlberM, HauptfleischU. Generation and visualization of microfractures in Carrara marble for estimating fracture toughness, fracture shear and fracture normal stiffness [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(8): 1065-1071
|
| [31] |
YoonY KThe effect of the loading condition and rock joint roughness on the hydraulic characteristics of rocks [D], 1992, Seoul, Seoul National University
|
| [32] |
ChangS HCharacterization of stress-induced damage in rock and its application on the analysis of rock damaged zone around a deep tunnel [D], 2002, Seoul, School of Civil, Urban and Geosystem Eng, Seoul National University
|
| [33] |
HuangY-h, YangS-q, ZengWei. Experimental and numerical study on loading rate effects of rock-like material specimens containing two unparallel fissures [J]. Journal of Central South University, 2016, 23(6): 1474-1485
|
| [34] |
BobetA. The initiation of secondary cracks in compression [J]. Engineering Fracture Mechanics, 2000, 66(2): 187-219
|