Abstract
A series of laboratory experiments and PFC numerical simulations for rock-like material specimens containing two unparallel fissures were carried out. On the basis of experimental and numerical results, the stress-strain curves, mechanical properties, AE events, cracking behavior and energy characteristics were analyzed to reveal the macro-mechanical behavior and meso-mechanism of pre-fissured specimens under different loading rates. Investigated results show that: 1) When the loading rate is relatively low, the stress-strain curves show a brittle response. When the loading rate is relatively high, the curve shows a more ductile response. Both of the peak strength and elastic mudulus increase with the increase of loading rate, which can be expressed as power functions. 2) Four crack types are identified, i.e., tensile crack, shear crack, far-field crack and surface spalling. Moreover, the tensile crack, far-field crack and surface spalling are under tensile mechanism, while the shear crack is under shear mechanism. 3) The drops of the stress-strain curves all correspond to the crack initiation or coalescence, which is also linked to a sudden increasing in the accumulated micro-crack curve. 4) Both of the maximum bond force and energy have the similar trend with the increase of loading rate to peak strength, which indicates that the trend of peak strength can be explained by the meso-mechanics and energy.
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ZHANG Z X, KOU S Q, YU J, YU Y, JIANG L G, LINDQVIST P A. Effects of loading rate on rock fracture [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(5): 597–611.
LIANG W G, ZHAO Y S, XU S G, DUSSEAULT M B. Effect of strain rate on the mechanical properties of salt rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(1): 161–167.
GONG F Q, ZHAO G F. Dynamic indirect tensile strength of sandstone under different loading rates [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 2271–2278.
ZHAO G F, RUSSELL A R, ZHAO X, KHALILI N. Strain rate dependency of uniaxial tensile strength in Gosford sandstone by the distinct lattice spring model with X-ray micro CT[J]. International Journal of Solids and Structures, 2014, 51(7): 1587–1600.
LIANG C, WU S, LI X, XIN P. Effects of strain rate on fracture characteristics and mesoscopic failure mechanisms of granite [J]. International Journal of Rock Mechanics and Mining Sciences, 2015, 76: 146–154.
SHEN B. The mechanism of fracture coalescence in compression— Experimental study and numerical simulation [J]. Engineering Fracture Mechanics, 1995, 51(1): 73–85.
WONG R H C, CHAU K T. Crack coalescence in a rock-like material containing two cracks [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(2): 147–164.
BOBET A. The initiation of secondary cracks in compression [J]. Engineering Fracture Mechanics, 2000, 66(2): 187–219.
GEHLE C, KUTTER H K. Breakage and shear behaviour of intermittent rock joints [J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(5): 687–700.
FUJII Y, ISHIJIMA Y. Consideration of fracture growth from an inclined slit and inclined initial fracture at the surface of rock and mortar in compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(6): 1035–1041.
LI Y P, CHEN L Z, WANG Y H. Experimental research on pre-cracked marble under compression [J]. International Journal of Solids and Structures, 2005, 42(9): 2505–2516.
WONG L N Y, EINSTEIN H H. Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46(2): 239–249.
YANG S Q, DAI Y H, HAN L J, JIN Z Q. Experimental study on mechanical behavior of brittle marble samples containing different flaws under uniaxial compression [J]. Engineering Fracture Mechanics, 2009, 76(12): 1833–1845.
ZHOU X P, CHENG H, FENG Y F. An experimental study of crack coalescence behaviour in rock-like materials containing multiple flaws under uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 1961–1986.
LEE H, JEON S. An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression [J]. International Journal of Solids and Structures, 2011, 48(6): 979–999.
YANG S Q, LIU X R, JING H W. Experimental investigation on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2013, 63: 82–92.
HAERI H, SHAHRIAR K, MARJI M F, MOAREFVAND P. Experimental and numerical study of crack propagation and coalescence in pre-cracked rock-like disks [J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 67: 20–28.
HAERI H, SHAHRIAR K, MARJI M F, MOAREFVAND P. A coupled numerical–experimental study of the breakage process of brittle substances [J]. Arabian Journal of Geosciences, 2015, 8: 809–825.
ZHANG X P, WONG L N Y. Loading rate effects on cracking behavior of flaw-contained specimens under uniaxial compression [J]. International Journal of Fracture, 2013, 180(1): 93–110.
CUNDALL P A, STRACK O D L. A discrete numerical model for granular assemblies [J]. Geotechnique, 1979, 29(1): 47–65.
ZHANG X P, WONG L N Y. Cracking processes in rock-like material containing a single flaw under uniaxial compression: A numerical study based on parallel bonded-particle model approach [J]. Rock Mechanics and Rock Engineering, 2012, 45(5): 711–737.
GHAZVINIAN A, SARFARAZI V, SCHUBERT W, BLUMEL M. A study of the failure mechanism of planar non-persistent open joints using PFC2D [J]. Rock Mechanics and Rock Engineering, 2012, 45(5): 677–693.
GHAZVINIAN A, NEJATI H R, SARFARAZI V, HADEI M R. Mixed mode crack propagation in low brittle rock-like materials [J]. Arabian Journal of Geosciences, 2013, 6(11): 4435–4444.
MANOUCHEHRIAN A, MARJI M F. Numerical analysis of confinement effect on crack propagation mechanism from a flaw in a pre-cracked rock under compression [J]. Acta Mechanica Sinica, 2012, 28(5): 1389–1397.
MANOUCHEHRIAN A, SHARIFZADEH M, MARJI M F, GHOLAMNEJAD J. A bonded particle model for analysis of the flaw orientation effect on crack propagation mechanism in brittle materials under compression [J]. Archives of Civil and Mechanical Engineering, 2014, 14(1): 40–52.
SARFARAZI V, GHAZVINIAN A, SCHUBERT W, BLUMFL M, NEJATI H R. Numerical simulation of the process of fracture of echelon rock joints [J]. Rock Mechanics and Rock engineering, 2014, 47(4): 1355–1371.
YANG S Q, HUANG Y H, JING H W, LIU X R. Discrete element modeling on fracture coalescence behavior of red sandstone containing two unparallel fissures under uniaxial compression [J]. Engineering Geology, 2014, 178: 28–48.
LI Shu-chen, WANG Lei, LI Shu-cai, HAN Jian-xin. Post-peak deformation and failure experimental study of rock-like specimens with different inclination angles persistent joints [J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(S2): 3391–3395. (in Chinese)
ZHUANG X, CHUN J, ZHU H. A comparative study on unfilled and filled crack propagation for rock-like brittle material [J]. Theoretical and Applied Fracture Mechanics, 2014, 72: 110–120.
WONG R H C, CHAU K T. Crack coalescence in a rock-like material containing two cracks [J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(2): 147–164.
SAGONG M, BOBET A. Coalescence of multiple flaws in a rock-model material in uniaxial compression [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39(2): 229–241.
WONG L N Y, EINSTEIN H H. Crack coalescence in molded gypsum and Carrara marble: Part 1. Macroscopic observations and interpretation [J]. Rock Mechanics and Rock Engineering, 2009, 42(3): 475–511.
YANG S Q, JING H W. Strength failure and crack coalescence behavior of brittle sandstone samples containing a single fissure under uniaxial compression [J]. International Journal of Fracture, 2011, 168(2): 227–250.
HUANG Da, CEN Duo-feng, HUANG Run-qiu. Influence of medium strain rate on sandstone with a single pre-crack under uniaxial compression using PFC simulation [J]. Rock and Soil Mechanicsm, 2013, 34(2): 535–545. (in Chinese)
DIEDERICHS M S. Instability of hard rockmasses: The role of tensile damage and relaxation [M]. University of Waterloo, 2001.
AL-SHAYEA N A. Crack propagation trajectories for rocks under mixed mode I–II fracture [J]. Engineering Geology, 2005, 81(1): 84–97.
ZHANG Zhi-qiang, LI Ning, CHEN Fang-fang, ZHANG Ping. Review and status of research on failure mode of nonpenetrative fractured rock mass [J]. Rock and Soil Mechanics, 2009, 30(s2): 142–148. (in Chinese)
Itasca Consulting Group Inc. Particle flow code [R]. Sudbury: Itasca Consulting Group Inc, 2004.
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Foundation item: Project (BK20150005) supported by the Natural Science Foundation of Jiangsu Province for Distinguished Young Scholars, China; Project (2014YC10) supported by the Fundamental Research Funds for the Central Universities, China
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Huang, Yh., Yang, Sq. & Zeng, W. Experimental and numerical study on loading rate effects of rock-like material specimens containing two unparallel fissures. J. Cent. South Univ. 23, 1474–1485 (2016). https://doi.org/10.1007/s11771-016-3200-3
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DOI: https://doi.org/10.1007/s11771-016-3200-3