Abstract
The stability of underground rock engineering is strongly affected by cavities. To analyse the dynamic response and fracture evolution of rock mass containing cavities, intact specimens and those containing a single rectangular cavity or two rectangular cavities with different layouts were tested by using split Hopkinson pressure bar (SHPB) test system under three levels of nitrogen gas actuating pressures (0.35 MPa, 0.40 MPa and 0.45 MPa). During tests, failure process was recorded by a high-speed camera. Then, digital image correlation (DIC) techniques combined with displacement trend line method was employed to investigate the crack evolution and failure modes. Moreover, absorbed energy per unit volume was calculated to evaluate specimen fragmentation. Test results reveal that under a given impact pressure, the dynamic loading capacity is apparently higher for intact specimens than for those containing cavities. Although the incident energy has varying influence on the fragmentation of specimens in different cases, the crack evolution and failure modes seem to be independent on incident energy but mainly associated with cavity number and layout. The existence of cavities contributes to the degradation of dynamic loading capacity and absorbed energy. For specimens containing two cavities, the twin-cavity system with the connecting angle of 45° exhibits the maximum weakening effect on the mechanical parameters. In comparison, when the connecting angle is 90°, the specimens containing two cavities hold the maximum average dynamic loading capacity, which approximates that of the specimens containing a single cavity.
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References
Blaber J, Adair B, Antoniou A (2015) Ncorr: Open-Source 2D digital image correlation Matlab software. Exp Mech 55:1105–1122. https://doi.org/10.1007/s11340-015-0009-1
Cai X, Zhou Z, Du X (2020a) Water-induced variations in dynamic behavior and failure characteristics of sandstone subjected to simulated geo-stress. Int J Rock Mech Min Sci 130:104339. https://doi.org/10.1016/j.ijrmms.2020.104339
Cai X, Zhou Z, Tan L, Zang H, Song Z (2020b) Fracture behavior and damage mechanisms of sandstone subjected to wetting-drying cycles. Eng Fract Mech 234:107109. https://doi.org/10.1016/j.engfracmech.2020.107109
Cai X, Zhou Z, Zang H, Song Z (2020c) Water saturation effects on dynamic behavior and microstructure damage of sandstone: phenomena and mechanisms. Eng Geol 276:105760. https://doi.org/10.1016/j.enggeo.2020.105760
Cao R-H, Yao R, Hu T, Wang C, Li K, Meng J (2021) Failure and mechanical behavior of transversely isotropic rock under compression-shear tests: Laboratory testing and numerical simulation. Eng Fract Mech 241:107389. https://doi.org/10.1016/j.engfracmech.2020.107389
Carter BJ, Lajtai EZ, Petukhov A (1991) Primary and remote fracture around underground cavities. Int J Numer Anal Methods Geomech 15:21–40. https://doi.org/10.1002/nag.1610150103
Carter BJ, Lajtai EZ, Yuan Y (1992) Tensile fracture from circular cavities loaded in compression. Int J Fract 57:221–236. https://doi.org/10.1007/BF00035074
Changyou L, Jingxuan Y, Bin Y (2017) Rock-breaking mechanism and experimental analysis of confined blasting of borehole surrounding rock. Int J Min Sci Technol 27:795–801. https://doi.org/10.1016/j.ijmst.2017.07.016
Dzik EJ, Lajtai EZ (1996) Primary fracture propagation from circular cavities loaded in compression. Int J Fract 79:49–64. https://doi.org/10.1007/BF00017712
Hong L, Zhou Z, Yin T, Liao G, Ye Z (2009) Energy consumption in rock fragmentation at intermediate strain rate. J Cent South Univ Technol 16:677–682. https://doi.org/10.1007/s11771-009-0112-5
Li H, Wong LNY (2012) Influence of flaw inclination angle and loading condition on crack initiation and propagation. Int J Solids Struct 49:2482–2499. https://doi.org/10.1016/j.ijsolstr.2012.05.012
Li XB, Zhou ZL, Wang WH (2005a) Construction of ideal striker for SHPB device based on FEM and neural network. Chin J Rock Mech Eng 24:4215–4218
Li XB, Lok TS, Zhao J (2005b) Dynamic characteristics of granite subjected to intermediate loading rate. Rock Mech Rock Eng 38:21–39. https://doi.org/10.1007/s00603-004-0030-7
Li D, Li CC, Li X (2011) Influence of sample height-to-width ratios on failure mode for rectangular prism samples of hard rock loaded in uniaxial compression. Rock Mech Rock Eng 44:253–267. https://doi.org/10.1007/s00603-010-0127-0
Li D, Cheng T, Zhou T, Li X (2015) Experimental study of the dynamic strength and fracturing characteristics of marble specimens with a single hole under impact loading. Chin J Rock Mech Eng 34:249–260
Li D, Zhu Q, Zhou Z, Li X, Ranjith PG (2017a) Fracture analysis of marble specimens with a hole under uniaxial compression by digital image correlation. Eng Fract Mech 183:109–124. https://doi.org/10.1016/j.engfracmech.2017.05.035
Li X, Zhou T, Li D (2017b) Dynamic strength and fracturing behavior of single-flawed prismatic marble specimens under impact loading with a split-hopkinson pressure bar. Rock Mech Rock Eng 50:29–44. https://doi.org/10.1007/s00603-016-1093-y
Li XF, Li HB, Zhang QB, Jiang JL, Zhao J (2018) Dynamic fragmentation of rock material: characteristic size, fragment distribution and pulverization law. Eng Fract Mech 199:739–759. https://doi.org/10.1016/j.engfracmech.2018.06.024
Li A, Liu Y, Dai F, Liu K, Wei M (2020a) Continuum analysis of the structurally controlled displacements for large-scale underground caverns in bedded rock masses. Tunn Undergr Space Technol 97:103288. https://doi.org/10.1016/j.tust.2020.103288
Li D, Gao F, Han Z, Zhu Q (2020b) Experimental evaluation on rock failure mechanism with combined flaws in a connected geometry under coupled static-dynamic loads. Soil Dyn Earthq Eng 132:106088. https://doi.org/10.1016/j.soildyn.2020.106088
Li D, Xiao P, Han Z, Zhu Q (2020c) Mechanical and failure properties of rocks with a cavity under coupled static and dynamic loads. Eng Fract Mech 225:106195. https://doi.org/10.1016/j.engfracmech.2018.10.021
Lin P, Wong RHC, Tang CA (2015) Experimental study of coalescence mechanisms and failure under uniaxial compression of granite containing multiple holes. Int J Rock Mech Min Sci 77:313–327. https://doi.org/10.1016/j.ijrmms.2015.04.017
Liu S, Fu M, Jia H, Li W, Luo Y (2018a) Numerical simulation and analysis of drill rods vibration during roof bolt hole drilling in underground mines. Int J Min Sci Technol 28:877–884. https://doi.org/10.1016/j.ijmst.2018.05.018
Liu Y, Dai F, Dong L, Xu N, Feng P (2018b) Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters. Rock Mech Rock Eng 51:47–68. https://doi.org/10.1007/s00603-017-1327-7
Lotidis MA, Nomikos PP, Sofianos AI (2017) Numerical simulation of granite plates containing a cylindrical opening in compression. Procedia Engineering 191:242–247. https://doi.org/10.1016/j.proeng.2017.05.177
Sagong M, Park D, Yoo J, Lee JS (2011) Experimental and numerical analyses of an opening in a jointed rock mass under biaxial compression. Int J Rock Mech Min Sci 48:1055–1067. https://doi.org/10.1016/j.ijrmms.2011.09.001
Sharafisafa M, Aliabadian Z, Shen L (2020) Crack initiation and failure development in bimrocks using digital image correlation under dynamic load. Theor Appl Fract Mech 109:102688. https://doi.org/10.1016/j.tafmec.2020.102688
Song Z, Konietzky H, Frühwirt T (2018) Hysteresis energy-based failure indicators for concrete and brittle rocks under the condition of fatigue loading. Int J Fatigue 114:298–310. https://doi.org/10.1016/j.ijfatigue.2018.06.001
Song Z, Frühwirt T, Konietzky H (2020) Inhomogeneous mechanical behaviour of concrete subjected to monotonic and cyclic loading. Int J Fatigue 132:105383. https://doi.org/10.1016/j.ijfatigue.2019.105383
Tan L, Ren T, Yang X, He X (2018) A numerical simulation study on mechanical behaviour of coal with bedding planes under coupled static and dynamic load. Int J Min Sci Technol 28:791–797. https://doi.org/10.1016/j.ijmst.2018.08.009
Tan L, Ren T, Dou L, Yang X, Qiao M, Peng H (2021) Analytical stress solution and mechanical properties for rock mass containing a hole with complex shape. Theor Appl Fract Mech 114:103002. https://doi.org/10.1016/j.tafmec.2021.103002
Tang CA, Wong RHC, Chau KT, Lin P (2005) Modeling of compression-induced splitting failure in heterogeneous brittle porous solids. Eng Fract Mech 72:597–615. https://doi.org/10.1016/j.engfracmech.2004.04.008
Tao M, Ma A, Cao W, Li X, Gong F (2017) Dynamic response of pre-stressed rock with a circular cavity subject to transient loading. Int J Rock Mech Min Sci 99:1–8. https://doi.org/10.1016/j.ijrmms.2017.09.003
Wang S, Liu Y, Zhou J, Wu Q, Ma S, Zhou Z (2018) Dynamic compressive characteristics of sandstone under confining pressure and radial gradient stress with the SHPB test. Adv Civ Eng 2018:1–8. https://doi.org/10.1155/2018/1387390
Wang Y, Tan WH, Liu DQ, Hou ZQ, Li CH (2019) On anisotropic fracture evolution and energy mechanism during marble failure under uniaxial deformation. Rock Mech Rock Eng 52:3567–3583. https://doi.org/10.1007/s00603-019-01829-1
Weng L, Wu Z, Liu Q, Wang Z (2019) Energy dissipation and dynamic fragmentation of dry and water-saturated siltstones under sub-zero temperatures. Eng Fract Mech 220:106659. https://doi.org/10.1016/j.engfracmech.2019.106659
Xu Y, Dai F (2018) Dynamic response and failure mechanism of brittle rocks under combined compression-shear loading experiments. Rock Mech Rock Eng 51:747–764. https://doi.org/10.1007/s00603-017-1364-2
Yan Z, Dai F, Liu Y, Du H, Luo J (2020) Dynamic strength and cracking behaviors of single-flawed rock subjected to coupled static–dynamic compression. Rock Mech Rock Eng 53:4289–4298. https://doi.org/10.1007/s00603-020-02165-5
Yang S, Liu X, Li Y (2012) Experimental analysis of mechanical behavior of sandstone containing hole and fissure under uniaxial compression. Chin J Rock Mech Eng 31:3539–3546
Yi C, Zhang P, Johansson D, Nyberg U (2014) Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves. Comput Geotech 55:165–171. https://doi.org/10.1007/s00603-019-01829-1
Yi CP, Lu WB, Zhang P, Johansson D, Nyberg U (2016) Effect of imperfect interface on the dynamic response of a circular lined tunnel impacted by plane P-waves. Tunn Undergr Space Technol 51:68–74. https://doi.org/10.1016/j.tust.2015.10.011
Yin Q, Jing H, Su H, Zhao H (2018) Experimental study on mechanical properties and anchorage performances of rock mass in the fault fracture zone. Int J Geomech 18:04018067. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001187
Yue Z, Peng L, Yue X, Wang J, Lu C (2020) Experimental study on the dynamic coalescence of two-crack granite specimens under high loading rate. Eng Fract Mech 237:107254. https://doi.org/10.1016/j.engfracmech.2020.107254
Zhang XP, Wong LNY (2014) Displacement field analysis for cracking processes in bonded-particle model. Bull Eng Geol Environ 73:13–21. https://doi.org/10.1007/s10064-013-0496-1
Zhang ZX, Kou SQ, Jiang LG, Lindqvist PA (2000) Effects of loading rate on rock fracture: fracture characteristics and energy partitioning. Int J Rock Mech Min Sci 37:745–762. https://doi.org/10.1016/S1365-1609(00)00008-3
Zhang L, Li X, Ren T (2020) A theoretical and experimental study of stress–strain creep and failure mechanisms of intact coal. Rock Mech Rock Eng 53:5641–5658. https://doi.org/10.1007/s00603-020-02235-8
Zhao Y, Liu S, Jiang Y, Wang K, Huang Y (2016) Dynamic tensile strength of coal under dry and saturated conditions. Rock Mech Rock Eng 49:1709–1720. https://doi.org/10.1007/s00603-015-0849-0
Zhao X-D, Zhang H-X, Zhu W-C (2014) Fracture evolution around pre-existing cylindrical cavities in brittle rocks under uniaxial compression. Trans Nonferrous Met Soc China 24:806–815. https://doi.org/10.1016/S1003-6326(14)63129-0
Zhou Z-L, Jiang Y-H, Zou Y, Wong L (2014) Degradation mechanism of rock under impact loadings by integrated investigation on crack and damage development. J Cent South Univ 21:4646–4652. https://doi.org/10.1007/s11771-014-2472-8
Zhou Z, Tan L, Cao W (2017) Fracture evolution and failure behaviour of marble specimens containing rectangular cavities under uniaxial loading. Eng Fract Mech 184:183–201. https://doi.org/10.1016/j.engfracmech.2017.08.029
Zhou Z, Cai X, Ma D, Du X, Chen L, Wang H, Zang H (2019) Water saturation effects on dynamic fracture behavior of sandstone. Int J Rock Mech Min Sci 114:46–61. https://doi.org/10.1016/j.ijrmms.2018.12.014
Zhou T, Zhu J, Xie H (2020a) Mechanical and volumetric fracturing behaviour of three-dimensional printing rock-like samples under dynamic loading. Rock Mech Rock Eng 53:2855–2864. https://doi.org/10.1007/s00603-020-02084-5
Zhou Z, Cai X, Li X, Cao W, Du X (2020b) Dynamic response and energy evolution of sandstone under coupled static–dynamic compression: insights from experimental study into deep rock engineering applications. Rock Mech Rock Eng 53:1305–1331. https://doi.org/10.1007/s00603-019-01980-9
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The authors are very grateful to the financial contribution and convey their appreciation for supporting this basic research.
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The work is supported by financial grants from National Natural Science Foundation of China (51934007, 51874292, 51804303), the State Key Laboratory of Coal Mine Disaster Dynamics and Control, CQU (2011DA105287—FW201804) and the Natural Science Foundation of Jiangsu Province (BK20180643).
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Tan, L., Ren, T., Dou, L. et al. Dynamic response and fracture evolution of marble specimens containing rectangular cavities subjected to dynamic loading. Bull Eng Geol Environ 80, 7701–7716 (2021). https://doi.org/10.1007/s10064-021-02425-w
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DOI: https://doi.org/10.1007/s10064-021-02425-w