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Abstract
After excavation, some of the surrounding rock mass is in a state of triaxial extension, exhibiting tensile or shear fracture modes. To study the energy mechanism of tensile fracture turning to shear fracture, a series of triaxial extension tests were conducted on sandstone under confining pressures of 10, 30, 50 and 70 MPa. Elastic energy and dissipated energy were separated by single unloading, the input energy ut, elastic energy ue, and dissipated energy ud at different unloading stress levels were calculated by the integrating stress – strain curves. The results show that tensile cracks dominate fracture under lower confining pressure (10 MPa), and shear cracks play an increasingly important role in fracture as confining pressure increases (30, 50 and 70 MPa). Based on the phenomenon that ue and ud increase linearly with increasing ut, a possible energy distribution mechanism of fracture mode transition under triaxial extension was proposed. In addition, it was found that peak energy storage capacity is more sensitive to confining pressure compared to elastic energy conversion capacity.
Keywords
triaxial extension
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energy distribution
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fracture mode
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energy dissipation
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energy storage
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Chun-de Ma, Guan-shuang Tan, Wen-yuan Yang, Zi-hao Kang, Gui-yin Zhang.
Energy dissipation characteristics of sandstone under triaxial extension with different confining pressures.
Journal of Central South University, 2025, 32(6): 2195-2207 DOI:10.1007/s11771-025-5974-7
| [1] |
FengX-t, XuH, QiuS-l, et al.. In situ observation of rock spalling in the deep tunnels of the China Jinping underground laboratory (2400 m depth). Rock Mechanics and Rock Engineering, 2018, 51(4): 1193-1213[J]
|
| [2] |
ZhaoJ-s, JiangQ, LuJ-f, et al.. Rock fracturing observation based on microseismic monitoring and borehole imaging: In situ investigation in a large underground cavern under high geostress. Tunnelling and Underground Space Technology, 2022, 126104549[J]
|
| [3] |
SuG-s, ChenY-x, JiangQ, et al.. Spalling failure of deep hard rock caverns. Journal of Rock Mechanics and Geotechnical Engineering, 2023, 15(8): 2083-2104[J]
|
| [4] |
ZhengZ, DengB, LiuH, et al.. Microdynamic mechanical properties and fracture evolution mechanism of monzogabbro with a true triaxial multilevel disturbance method. International Journal of Mining Science and Technology, 2024, 34(3): 385-411[J]
|
| [5] |
ZhengZ, XuH-y, ZhangK, et al.. Intermittent disturbance mechanical behavior and fractional deterioration mechanical model of rock under complex true triaxial stress paths. International Journal of Mining Science and Technology, 2024, 34(1): 117-136[J]
|
| [6] |
LiuJ-d, ShenL-h, JinJ. Reliability analysis of in situ stress measurement using circumferential velocity anisotropy. Journal of Rock Mechanics and Geotechnical Engineering, 2011, 3: 457-460[J]
|
| [7] |
SanadaH, HikimaR, TannoT, et al.. Application of differential strain curve analysis to the Toki Granite for in situ stress determination at the Mizunami underground research laboratory, Japan. International Journal of Rock Mechanics and Mining Sciences, 2013, 59: 50-56[J]
|
| [8] |
FunatoA, ItoT. A new method of diametrical core deformation analysis for in situ stress measurements. International Journal of Rock Mechanics and Mining Sciences, 2017, 91: 112-118[J]
|
| [9] |
LiangZ-z, XueR-x, XuN-w, et al.. Analysis on microseismic characteristics and stability of the access tunnel in the main powerhouse, Shuangjiangkou hydropower station, under high in situ stress. Bulletin of Engineering Geology and the Environment, 2020, 79(6): 3231-3244[J]
|
| [10] |
LiuG-f, FengX-t, FengG-l, et al.. A method for dynamic risk assessment and management of rockbursts in drill and blast tunnels. Rock Mechanics and Rock Engineering, 2016, 49(8): 3257-3279[J]
|
| [11] |
MartinC D, MaybeeW G. The strength of hard-rock pillars. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(8): 1239-1246[J]
|
| [12] |
ForbesB, VlachopoulosN, DiederichsM S, et al.. An in situ monitoring campaign of a hard rock pillar at great depth within a Canadian mine. Journal of Rock Mechanics and Geotechnical Engineering, 2020, 12(3): 427-448[J]
|
| [13] |
DuK, TaoM, LiX-b, et al.. Experimental study of slabbing and rockburst induced by true-triaxial unloading and local dynamic disturbance. Rock Mechanics and Rock Engineering, 2016, 49(9): 3437-3453[J]
|
| [14] |
SiX-f, HuangL-q, LiX-b, et al.. Experimental investigation of spalling failure of D-shaped tunnel under three-dimensional high-stress conditions in hard rock. Rock Mechanics and Rock Engineering, 2021, 54(6): 3017-3038[J]
|
| [15] |
LingK, WangY, LiuD-q, et al.. Experimental study on rockburst and spalling failure in circular openings for deep underground engineering. Rock Mechanics and Rock Engineering, 2023, 56(4): 2607-2631[J]
|
| [16] |
LanH-x, ChenJ-h, MacciottaR. Universal confined tensile strength of intact rock. Scientific Reports, 2019, 916170[J]
|
| [17] |
ZengB, HuangD, YeS-q, et al.. Triaxial extension tests on sandstone using a simple auxiliary apparatus. International Journal of Rock Mechanics and Mining Sciences, 2019, 120: 29-40[J]
|
| [18] |
LiuZ-b, ZhouH-y, ZhangW, et al.. A new experimental method for tensile property study of quartz sandstone under confining pressure. International Journal of Rock Mechanics and Mining Sciences, 2019, 123104091[J]
|
| [19] |
LiuZ-l, MaC-d, WeiX-a, et al.. Experimental study of rock subjected to triaxial extension. Rock Mechanics and Rock Engineering, 2022, 55(2): 1069-1077[J]
|
| [20] |
MakhnenkoR Y, HarvieuxJ, LabuzJ F. Paul-Mohr-Coulomb failure surface of rock in the brittle regime. Geophysical Research Letters, 2015, 42(17): 6975-6981[J]
|
| [21] |
HuangD, LiuY, CenD-f, et al.. Effect of confining pressure on deformation and strength of granite in confined direct tension tests. Bulletin of Engineering Geology and the Environment, 2022, 813110[J]
|
| [22] |
HuangD, LiuY, CenD-f, et al.. Mechanical responses of granite under confined direct tensile testing: Fracture, strength, energy conversion and mechanism. Rock Mechanics and Rock Engineering, 2023, 56(1): 143-166[J]
|
| [23] |
LiuZ-l, MaC-d, WeiX-a. Effect of thermal treatment and moisture content on the mechanical properties of soft sandstone under triaxial extension: An experimental study. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2023, 9142[J]
|
| [24] |
RamseyJ M, ChesterF M. Hybrid fracture and the transition from extension fracture to shear fracture. Nature, 2004, 428(6978): 63-66[J]
|
| [25] |
BobichJ KExperimental analysis of the extension to shear fracture transition in Berea Sandstone, 2005, Austin. Texas A&M University. [D]
|
| [26] |
RodriguezEA microstructural study of the extension-to-shear fracture transition in Carrara Marble, 2005, Austin. Texas A&M University. [D]
|
| [27] |
LiuY, HuangD, CenD-f, et al.. Tensile strength and fracture surface morphology of granite under confined direct tension test. Rock Mechanics and Rock Engineering, 2021, 54(9): 4755-4769[J]
|
| [28] |
MaC-d, TanG-s, LvZ-h, et al.. Fracture mechanism of sandstone under triaxial extension at different loading rates. Rock Mechanics and Rock Engineering, 2023, 56(5): 3429-3450[J]
|
| [29] |
HeapM J, VinciguerraS, MeredithP G. The evolution of elastic moduli with increasing crack damage during cyclic stressing of a basalt from Mt. Etna volcano. Tectonophysics, 2009, 471(1): 153-160[J]
|
| [30] |
KontogianniV A, StirosS C. Induced deformation during tunnel excavation: Evidence from geodetic monitoring. Engineering Geology, 2005, 79(1): 115-126[J]
|
| [31] |
YanP, LuW-b, ChenM, et al.. Energy release process of surrounding rocks of deep tunnels with two excavation methods. Journal of Rock Mechanics and Geotechnical Engineering, 2012, 4(2): 160-167[J]
|
| [32] |
FanY, LuW B, YanP, et al.. Transient characters of energy changes induced by blasting excavation of deep-buried tunnels. Tunnelling and Underground Space Technology, 2015, 49: 9-17[J]
|
| [33] |
ZhuangD Y, TangC A, LiangZ Z, et al.. Effects of excavation unloading on the energy-release patterns and stability of underground water-sealed oil storage Caverns. Tunnelling and Underground Space Technology, 2017, 61: 122-133[J]
|
| [34] |
XieH-p, LiL-y, PengR-d, et al.. Energy analysis and criteria for structural failure of rocks. Journal of Rock Mechanics and Geotechnical Engineering, 2009, 1(1): 11-20[J]
|
| [35] |
XueY, RanjithP G, DangF-n, et al.. Analysis of deformation, permeability and energy evolution characteristics of coal mass around borehole after excavation. Natural Resources Research, 2020, 29(5): 3159-3177[J]
|
| [36] |
WangP, XuJ-y, FangX-y, et al.. Energy dissipation and damage evolution analyses for the dynamic compression failure process of red-sandstone after freeze-thaw cycles. Engineering Geology, 2017, 221: 104-113[J]
|
| [37] |
MiaoS-j, CaiM-f, GuoQ-f, et al.. Rock burst prediction based on in situ stress and energy accumulation theory. International Journal of Rock Mechanics and Mining Sciences, 2016, 83: 86-94[J]
|
| [38] |
XuJ, JiangJ-d, XuN, et al.. A new energy index for evaluating the tendency of rockburst and its engineering application. Engineering Geology, 2017, 230: 46-54[J]
|
| [39] |
ChesterJ S, ChesterF M, KronenbergA K. Fracture surface energy of the Punchbowl fault, San Andreas system. Nature, 2005, 437(7055): 133-136[J]
|
| [40] |
McsaveneyM J, DaviesT R. Surface energy is not one of the energy losses in rock comminution. Engineering Geology, 2009, 109(1): 109-113[J]
|
| [41] |
DaviesT R H, ReznichenkoN V, McsaveneyM J. Energy budget for a rock avalanche: Fate of fracture-surface energy. Landslides, 2020, 17(1): 3-13[J]
|
| [42] |
GongF-q, YanJ-y, LuoS, et al.. Investigation on the linear energy storage and dissipation laws of rock materials under uniaxial compression. Rock Mechanics and Rock Engineering, 2019, 52(11): 4237-4255[J]
|
| [43] |
LiuZ-b, WangH-y, LiY-p, et al.. Triaxial compressive strength, failure, and rockburst potential of granite under high-stress and ground-temperature coupled conditions. Rock Mechanics and Rock Engineering, 2023, 56(2): 911-932[J]
|
| [44] |
LuoS, GongF-q, LiL-l, et al.. Linear energy storage and dissipation laws and damage evolution characteristics of rock under triaxial cyclic compression with different confining pressures. Transactions of Nonferrous Metals Society of China, 2023, 33(7): 2168-2182[J]
|
| [45] |
SuY-q, GongF-q, LuoS, et al.. Experimental study on energy storage and dissipation characteristics of granite under two-dimensional compression with constant confining pressure. Journal of Central South University, 2021, 28(3): 848-865[J]
|
| [46] |
GongF-q, LuoS, YanJ-y. Energy storage and dissipation evolution process and characteristics of marble in three tension-type failure tests. Rock Mechanics and Rock Engineering, 2018, 51(11): 3613-3624[J]
|
| [47] |
LuoS, GongF-q. Linear energy storage and dissipation laws during rock fracture under three-point flexural loading. Engineering Fracture Mechanics, 2020, 234107102[J]
|
| [48] |
WuW-x, GongF-q. Investigation on energy evolution and storage characteristic of CSTBD red sandstone during mixed-mode fracture. Geofluids, 2022, 20229822469[J]
|
| [49] |
LuoS, GongF-q. Linear energy storage and dissipation laws of rocks under preset angle shear conditions. Rock Mechanics and Rock Engineering, 2020, 53(7): 3303-3323[J]
|
| [50] |
ChengY, WongL N Y. Microscopic characterization of tensile and shear fracturing in progressive failure in marble. Journal of Geophysical Research (Solid Earth), 2018, 123(1): 204-225[J]
|
| [51] |
LiuS-j, LanH-x, MartinC D. Progressive transition from extension fracture to shear fracture of altered granite during uniaxial tensile tests. Rock Mechanics and Rock Engineering, 2022, 55(9): 5355-5375[J]
|
| [52] |
DemirdagS, TufekciK, SengunN, et al.. Determination of the direct tensile strength of granite rock by using a new dumbbell shape and its relationship with Brazilian tensile strength. IOP Conference Series: Earth and Environmental Science, 2019, 221012094[J]
|
| [53] |
HashibaK, FukuiK. Effect of water on the deformation and failure of rock in uniaxial tension. Rock Mechanics and Rock Engineering, 2015, 48(5): 1751-1761[J]
|
| [54] |
FairhurstC E, HudsonJ A. Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(3): 281-289[J]
|
| [55] |
LiuZ-l, MaC-d, WeiX-a, et al.. Experimental study on the mechanical characteristics of single-fissure sandstone under triaxial extension. Rock Mechanics and Rock Engineering, 2022, 55(7): 4441-4457[J]
|
| [56] |
LuoS, GongF-q, PengK, et al.. Influence of water on rockburst proneness of sandstone: Insights from relative and absolute energy storage. Engineering Geology, 2023, 323107172[J]
|
| [57] |
XuL, GongF-q, LiuZ-x. Experiments on rockburst proneness of pre-heated granite at different temperatures: Insights from energy storage, dissipation and surplus. Journal of Rock Mechanics and Geotechnical Engineering, 2022, 14(5): 1343-1355[J]
|
| [58] |
van EeckhoutE M. The mechanisms of strength reduction due to moisture in coal mine shales. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1976, 13(2): 61-67[J]
|
| [59] |
SakumaH. Adhesion energy between mica surfaces: Implications for the frictional coefficient under dry and wet conditions. Journal of Geophysical Research: Solid Earth, 2013, 118(12): 6066-6075[J]
|
| [60] |
ZhouZ-l, WangP-y, CaiX, et al.. Influence of water content on energy partition and release in rock failure: Implications for water-weakening on rock-burst proneness. Rock Mechanics and Rock Engineering, 2023, 56(9): 6189-6205[J]
|
| [61] |
KumariW G P, RanjithP G, PereraM S A, et al.. Mechanical behaviour of Australian Strathbogie granite under in situ stress and temperature conditions: An application to geothermal energy extraction. Geothermics, 2017, 65: 44-59[J]
|
| [62] |
YangS-q, TianW-l, ElsworthD, et al.. An experimental study of effect of high temperature on the permeability evolution and failure response of granite under triaxial compression. Rock Mechanics and Rock Engineering, 2020, 53(10): 4403-4427[J]
|
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