Abstract
Hollow cylindrical sandstone specimens filled with Al, Pb and polymethyl methacrylate (PMMA), as well as hollow and solid specimens were tested under monotonic unconfined compression. The discrepancies in the elastic modulus, unconfined compressive strength and failure pattern of the specimens were studied and then illustrated. The interaction stress threshold and localized failure stress threshold were identified by the strain gauges on the rock and filling rod. The results indicated that unobvious changes in the strength and elastic modulus were found between the solid and hollow specimens, while for the hollow specimens with infillings, the strength decreases with increasing the stiffness of the infilling material. The filling material with a higher stiffness leads to a high hoop stress, and hence a stronger interfacial force. The specimens coupled with filling rod are mainly fractured with tensile cracks, while the solid and hollow specimens are typically split into blocky fragments with dominated shear fractures. Finally, the equivalent inner pressure in the opening was theoretically derived. The findings suggested in the experiments can be well explained using the theoretical thick-walled cylinder model.
摘要
为了研究不同刚度充填物对厚壁圆筒砂岩力学及断裂响应的影响,对充填铝棒、铅棒以及有机 玻璃棒的厚壁圆筒砂岩试样进行单轴压缩试验,同时对完整砂岩试样及厚壁圆筒试样也进行单轴压缩 试验作为参照。对比研究各组试样的强度、变形及破坏特征,并通过岩石和充填棒上的环向应变值特 征分析了影响应力阈值及局部破坏应力阈值的变化情况。研究结果表明,完整试样和厚壁圆筒试样的 强度及弹性模量没有明显的差别,而充填试样的强度随着充填物刚度的增加而减小。刚度较大的充填 物导致试样产生较大的环向应力,进而产生较大的界面力。充填试样以拉伸破坏为主,而完整试样及 厚壁圆筒试样主要为剪切破坏。最后通过理论力学模型研究孔洞内壁的等效内压力,发现理论模型能 够很好地解释试验结果。本文研究结果将为非均匀应力状态下岩体及支护结构的稳定性提供有意义参 考。
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References
KAHRAMAN S. Evaluation of simple methods for assessing the uniaxial compressive strength of rock [J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(7): 981–994. DOI: https://doi.org/10.1016/S1365-1609(01)00039-9.
MOGI K. Fracture and flow of rocks under high triaxial compression [J]. Geophysical research, 1971, 76(5): 1255–1269. DOI: https://doi.org/10.1029/JB076i005p01255.
ZHOU Xiao-ping, CHENG Hao, FENG Yi-feng. An experimental study of crack coalescence behaviour in rocklike materials containing multiple flaws under uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2014, 47(6): 1961–1986. DOI: https://doi.org/10.1007/s00603-013-0511-7.
ZHOU Xiao-ping, ZHANG Jian-zhi, WONG L N Y. Experimental study on the growth, coalescence and wrapping behaviors of 3d cross-embedded flaws under uniaxial compression [J]. Rock Mechanics and Rock Engineering, 2018, 51(5): 1379–1400. DOI: https://doi.org/10.1007/s00603-018-1406-4.
PENG Kang, LIU Zhao-peng, ZOU Quan-le, WU Qiu-hong, ZHOU Jia-qi. Mechanical property of granite from different buried depths under uniaxial compression and dynamic impact: An energy-based investigation [J]. Powder Technology, 2020, 362: 729–744. DOI: https://doi.org/10.1016/j.powtec.2019.11.101.
ZHAO Yan-lin, WANG Yi-xian, WANG Wei-jun, WAN Wen, TANG Jing-zhou. Modeling of non-linear rheological behavior of hard rock using triaxial rheological experiment [J]. International Journal of Rock Mechanics and Mining Sciences, 2017, 93: 66–75. DOI: https://doi.org/10.1016/j.ijrmms.2017.01.004.
WU Qiu-hong, WENG Lei, ZHAO Yan-lin, GUO Bao-hua, LUO Tao. On the tensile mechanical characteristics of finegrained granite after heating/cooling treatments with different cooling rates [J]. Engineering Geology, 2019, 253: 94–110. DOI: https://doi.org/10.1016/j.enggeo.2019.03.014.
WU Qiu-hong, CHEN Lu, SHEN Bao-tang, DLAMINI B, LI Shu-qing, ZHU Yong-jian. Experimental investigation on rockbolt performance under the tension load [J]. Rock Mechanics and Rock Engineering, 2019, 52(11): 4605–4618. DOI: https://doi.org/10.1007/s00603-019-01845-1.
DU Kun, SU Rui, TAO Ming, YANG Cheng-zhi, MOMENI A, WANG Shao-feng. Specimen shape and cross-section effects on the mechanical properties of rocks under uniaxial compressive stress [J]. Bulletin of Engineering Geology and the Environment, 2019, 78: 6061–6074. DOI: https://doi.org/10.1007/s10064-019-01518-x.
HUDSON J A, CROUCH S L, FAIRHURST C. Soft, stiff and servo-controlled testing machines: A review with reference to rock failure [J]. Engineering Geology, 1972, 6(3): 155–189. DOI: https://doi.org/10.1016/0013-7952(72)90001-4.
ZHANG Zi-zheng, DENG Ming, BAI Jian-biao, YAN Shuai, YU Xian-yang. Stability control of gob-side entry retained under the gob with close distance coal seams [J]. International Journal of Mining Science and Technology, 2021. DOI: https://doi.org/10.1016/j.ijmst.2020.11.002.
XUE Lei, QIN Si-qing, SUN Qiang, WANG Yuan-yuan, LEE Min, LI Wei-chao. A study on crack damage stress thresholds of different rock types based on uniaxial compression tests [J]. Rock Mechanics and Rock Engineering, 2014, 47(4): 1183–1195. DOI: https://doi.org/10.1007/s00603-013-0479-3.
ALSAYED M I. Utilising the hoek triaxial cell for multiaxial testing of hollow rock cylinders [J]. International Journal of Rock Mechanics and Mining Sciences, 2002, 39: 355–366. DOI: https://doi.org/10.1016/S1365-1609(02)00030-8.
SANTARELLI F J, BROWN E T. Failure of Three sedimentary rocks in triaxial and hollow cylinder compression tests [J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1989, 26(5): 401–413. DOI: https://doi.org/10.1016/0148-9062(89)90936-4.
WENG Lei, HUANG Lin-qi, TAHERI A, LI Xi-bing. Rockburst characteristics and numerical simulation based on a strain energy density index: A case study of a roadway in linglong gold mine, China [J]. Tunnelling and Underground Space Technology, 2017, 69: 223–232. DOI: https://doi.org/10.1016/j.tust.2017.05.011.
DIEDERICHS M S, KAISER P K, EBERHARDT E. Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41: 785–812. DOI: https://doi.org/10.1016/j.ijrmms.2004.02.003.
ZHANG Zi-zheng, DENG Ming, WANG Xiang-yu, YU Weijian, ZHANG Fei, DAO V D. Field and numerical investigations on the lower coal seam entry failure analysis under the remnant pillar [J]. Engineering Failure Analysis, 2020, 115: 104638. DOI: https://doi.org/10.1016/j.engfailanal.2020.104638.
WU Qiu-hong, LI Xi-bing, WENG Lei, LI Qing-feng, ZHU Yong-jian, LUO Rong. Experimental investigation of the dynamic response of prestressed rockbolt by using an SHPB-based rockbolt test system [J]. Tunnelling and Underground Space Techology, 2019, 93: 103088. DOI: https://doi.org/10.1016/j.tust.2019.103088.
TAO Ming, MA Ao, CAO Wen-zhuo, LI Xi-bing, GONG Feng-qiang. Dynamic response of pre-stressed rock with a circular cavity subject to transient loading [J]. International Journal of Rock Mechanics and Mining Sciences, 2017, 99: 1–8. DOI: https://doi.org/10.1016/j.ijrmms.2017.09.003.
ZHOU Xiao-ping, ZHANG Yong-xing, HA Qiu-ling. Realtime computerized tomography (CT) experiments on limestone damage evolution during unloading [J]. Theoretical and Applied Fracture Mechanics, 2008, 50(1): 49–56. DOI: https://doi.org/10.1016/j.tafmec.2008.04.005.
ZHOU Xiao-ping, SHOU Yun-dong, QIAN Qi-hu. Three-dimensional nonlinear strength criterion for rock-like materials based on the micromechanical method [J]. International Journal of Rock Mechanics and Mining Sciences, 2014, 72: 54–60. DOI: https://doi.org/10.1016/j.ijrmms.2014.08.013.
LI Jun-zhe, ZHANG Guang, LIU Ming-ze. Experimental investigation on the effect of confining pressure on the tensile strength of sandstone using hollow cylinder tensile test method [J]. Arabian Journal of Geosciences, 2019, 12: 768. DOI: https://doi.org/10.1007/s12517-019-4797-y.
LABIOUSE V, SAUTHIER C, YOU S. Hollow cylinder simulation experiments of galleries in boom clay formation [J]. Rock Mechanics and Rock Engineering, 2014, 47(1): 43–55. DOI: https://doi.org/10.1007/s00603-012-0332-0.
YANG Sheng-qi. Experimental study on deformation, peak strength and crack damage behavior of hollow sandstone under conventional triaxial compression [J]. Engineering Geology, 2016, 213: 11–24. DOI: https://doi.org/10.1016/j.enggeo.2016.08.012.
WU Qiu-hong, LI Xi-bing, ZHAO Fu-jun, TAO Ming, DONG Long-jun, CHEN Lu. Failure characteristics of hollow cylindrical specimens of limestone under hole pressure unloading [J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(6): 1424–1433. DOI: https://doi.org/10.13722/j.cnki.jrme.2016.1498. (in Chinese)
WANG Shao-feng, LI Xi-bing, DU Kun, WANG Shan-yong, TAO Ming. Experimental study of the triaxial strength properties of hollow cylindrical granite specimens under coupled external and internal confining stresses [J]. Rock Mechanics and Rock Engineering, 2018, 51(3): 1–17. DOI: https://doi.org/10.1007/s00603-018-1452-y.
ZHOU Hui, JIANG Yue, LU Jing-jing, GAO Yang, CHEN Jun. Development of a hollow cylinder torsional apparatus for rock [J]. Rock Mechanics and Rock Engineering, 2018, 51(12): 3845–3852. DOI: https://doi.org/10.1007/s00603-018-1563-5.
ADAMS F D. An experimental contribution to the question of the depth of the zone of flow in the earth’s crust [J]. Journal of Geology, 1912, 20(2): 97–118.
KING L V. On the Limiting strength of rocks under conditions of stress existing in the earth’s interior [J]. Journal of Geology, 1912, 20(2): 119–138.
TALESNICK M L, RINGEL M. Completing the hollow cylinder methodology for testing of transversely isotropic rocks: torsion testing [J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(5): 627–639. DOI: https://doi.org/10.1016/S0148-9062(99)00038-8.
HAIMSON B, KOVACICH J. Borehole instability in high-porosity berea sandstone and factors affecting dimensions and shape of fracture-like breakouts [J]. Engineering Geology, 2003, 69: 219–231. DOI: https://doi.org/10.1016/S0013-7952(02)00283-1.
MONFARED M, DELAGE P, MOHAJERANI M. A laboratory investigation on thermal properties of the opalinus claystone [J]. Rock Mechanics and Rock Engineering, 2011, 44(6): 735–747. DOI: https://doi.org/10.1007/s00603-011-0171-4.
GAY N C. Fracture growth around openings in thick-walled cylinders of rock subjected to hydrostatic compression [J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1973, 10: 231–243. DOI: https://doi.org/10.1016/0148-9062(73)90032-6.
YOU Ming-qing, SU Cheng-dong, GOU Yong. Experimental study on strength and deformation properties of hollow cylindrical specimens of marbles [J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(12): 2420–2429. DOI: https://doi.org/10.1016/S1874-8651(08)60066-6. (in Chinese)
ZHANG Hou-quan, LIU Hong-gang, HE Yong-nian, HAN Li-jun. Unloading experiment and rock strength failure of rock thick-walled cylinders under triaxial compression [J]. Journal of University of Science and Technology Beijing, 2011, 33(7): 800–805. DOI: https://doi.org/10.1097/RLU.0b013e3181f49ac7.
LABIOUSE V, VIETOR T. Laboratory and in situ simulation tests of the excavation damaged zone around galleries in opalinus clay [J]. Rock Mechanics and Rock Engineering, 2014, 47(1): 57–70. DOI: https://doi.org/10.1007/s00603-013-0389-4.
LI Zhen, ZHOU Hui, JIANG Yue, HU Da-wei, ZHANG Chuan-qing. Methodology for establishing comprehensive stress paths in rocks during hollow cylinder testing [J]. Rock Mechanics and Rock Engineering, 2019, 52: 1055–1074. DOI: https://doi.org/10.1007/s00603-018-1628-5.
QIU Jia-dong, LI Di-yuan, LI Xi-bing, ZHU Quan-qi. Numerical investigation on the stress evolution and failure behavior for deep roadway under blasting disturbance [J]. Soil Dynamics and Earthquake Engineering, 2020, 137: 106278. DOI: https://doi.org/10.1016/j.soildyn.2020.106278.
SU Cheng-dong, QIU Jia-dong, WU Qiu-hong, WENG Lei. Effects of high temperature on the microstructure and mechanical behavior of hard coal [J]. International Journal of Mining Science and Technology, 2020, 30(5): 643–650. DOI: https://doi.org/10.1016/j.ijmst.2020.05.021.
WENG Lei, WU Qiu-hong, ZHAO Yan-lin, WANG Shi-ming. Dynamic response and failure of rock in initial gradient stress field under stress wave loading [J]. Journal of Central South University, 2020, 27: 963–972. DOI: https://doi.org/10.1007/s11771-020-4344-8.
WU Qiu-hong, LI Xi-bing, TAO Ming, ZHAO Fu-jun, WENG Lei, DONG Long-jun. Conventional triaxial compression on hollow cylinders of sandstone with various fillings: Relationship of surrounding rock with support [J]. Journal of Central South University, 2018, 25(8): 1976–1986. DOI: https://doi.org/10.1007/s11771-018-3888-3.
GOU Yong, PEI Hong-yan, WU Zhen-hua. Study on strength, deformation and failure properties of hollow cylindrical rock specimens [C]// International Conference on Energy and Environmental Protection, 2017.
CAI M, KAISER P K, TASAKA Y, MAEJIMA T, MORIOKA H, MINAMI M. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations [J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(5): 833–847. DOI: https://doi.org/10.1016/j.ijrmms.2004.02.001.
WU Qiu-hong, WENG Lei, ZHAO Yan-lin, ZHAO Fu-jun, ZHANG Si-ping. Deformation and cracking characteristics of ring-shaped granite with inclusion under diametrical compression [J]. Arabian Journal of Geosciences, 2020, 13: 681. DOI: https://doi.org/10.1007/s12517-020-05718-8.
HASHEMI S S, MELKOUMIAN N, TAHERI A. A borehole stability study by newly designed laboratory testson thick-walled hollow cylinders [J]. Journal of Rock Mechanics Geotechnical Engineering, 2015, 7(5): 519–531. DOI: https://doi.org/10.1016/j.jrmge.2015.06.005
KANJ M, ABOUSLEIMAN Y. The generalized lame problem—part I: Coupled poromechanical solutions [J]. Journal of Application Mechanics, 2004, 71: 168–179. DOI: https://doi.org/10.1115/1.1683751.
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WU Qiu-hong provided the concept and edited the draft of manuscript. WENG Lei conducted the literature review and wrote the first draft of the manuscript. ZHAO Yan-lin and FENG Fan edited the draft of manuscript.
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WU Qiu-hong, WENG Lei, ZHAO Yan-lin and FENG Fan declare that they have no conflict of interest.
Foundation item: Projects(51904101, 51774131, 52004143) supported by the National Natural Science Foundation of China; Project(MDPC201916) supported by the Key Laboratory of Mining Disaster Prevention and Control, China
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Wu, Qh., Weng, L., Zhao, Yl. et al. Influence of infilling stiffness on mechanical and fracturing responses of hollow cylindrical sandstone under uniaxial compression tests. J. Cent. South Univ. 28, 2485–2498 (2021). https://doi.org/10.1007/s11771-021-4781-z
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DOI: https://doi.org/10.1007/s11771-021-4781-z