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| Three-dimensional propagation of local micro-cracks and non-linear deterioration mechanism of limestone under variable amplitude cyclic loading |
| TANG Hudan1,2,ZHU Mingli3,ZHU Zhende4#br# |
(1. School of Civil Engineering,Henan Polytechnic University,Jiaozuo,Henan 454000,China;2. Key Laboratory of Underground Engineering and Disaster Prevention of Henan Province,Henan Polytechnic University,Jiaozuo,Henan 454000,China;3. School of Energy Science and Engineering Institute,Henan Polytechnic University,Jiaozuo,Henan 454000,China;4. Geotechnical Research Institute,Hohai University,Nanjing,Jiangsu 210098,China)
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Abstract The deformation and failure process of deep rock masses is affected by excavation unloading or other disturbing loads. In order to explore the propagation law of spatial micro-cracks in rock masses and the non-linear mechanism of the progressive failure process,a three-dimensional positioning acoustic emission experiment of limestone under pre-static low-frequency unequal amplitude loading and unloading cycles was carried out. The results show that the ratios of the elastic energy and the dissipated energy to the total energy all have corresponding stage characteristics. The change of the dissipated energy is related to the distribution of the prefabricated cracks as well as the location and the expansion speed of the micro-cracks. The changes in the dissipated energy and the number of impacts satisfy the critical power law of limestone catastrophe. The peak strengths of the intact limestone specimen and the prefabricated limestone specimen with different inclination angles decrease with increasing the number of the prefabricated cracks and are affected by the position of the prefabricated cracks. The stress-strain curves of different specimens present different degrees of transition after the peak and appear type I curve and type II curve. It is also shown that the multiplicity and local propagation of three-dimensional cracks in limestone samples are affected by the prefabricated cracks,and that the failure processes of the intact samples and the samples with different prefabricated fractures are dominated by different mechanical mechanisms and show different failure modes macroscopically. On the basis of in-depth study on the rock degradation process,the calculus in the field of mathematics,the principle of thermodynamics in the field of physics and the specific problems in the field of rock mechanics and engineering are combined to reveal the nonlinear mechanism of the energy evolution process. The research results expand the depth of thermodynamic research and facilitate the understanding of the transient state thermodynamic mechanism and the non-linear breakage mechanism of the engineering rock mass degradation process.
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[1] DYSKIN A,VGERMANOVICH L N,USTINOV K B. A 3-D model of wing crack growth and interaction[J]. Engineering Fracture Mechanics,1999,63(1):81–110.
[2] WONG R H C,HUANG M L,JIAO M R,et al. The mechanisms of crack propagation from surface 3D fracture under uniaxial compression[J]. Key Engineering Materials,2004,261(1):219–224.
[3] 郭彦双,林春金,朱维申,等. 三维裂隙组扩展及贯通过程的实验研究[J],岩石力学与工程学报,2008,27(Supp.1):3 191–3 195. (GUO Yangshuang,LIN Chunjin,ZHU Weishen,et al. Experimental research on propagation and coalescence process of three-dimensional flaw-sets[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1):3 191–3 195.(in Chinese))
[4] 黄明利,黄凯珠. 三维表面裂隙相互作用扩展贯通机制试验研究[J]. 岩石力学与工程学报,2007,26(9):1 794–1 799.(HUANG Mingli,HUANG Kaizhu. Experimental study on propagation and coalescence mechanisms of 3D surface cracks[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(9):1 794–1 799.(in Chinese))
[5] KOLARI K. A complete three-dimensional continuum model of wing-crack growth in granular brittle solids[J]. International Journal of Solids and Structures,2017,115:27–42.
[6] FU J W,LIU S L,ZHU W S,et al. Experiments on failure process of new rock-like specimens with two internal cracks under biaxial loading and the 3-D simulation[J]. Acta Geotechnica,2018,13(4):853–867.
[7] TANG H D,ZHU Z D,ZHU M L,et al. Mechanical behavior of 3D crack growth in transparent rock-like material containing preexisting flaws under compression[J]. Advances in Materials Science and Engineering,2015:193721.
[8] TANG H D,ZHU M L. Micro damage mechanics-based exponential power law acceleration of microscale damage and time-dependent crack propagation[J]. Engineering Fracture Mechanics,2020,229:106930.
[9] TANG H D. Multi-scale crack propagation and damage acceleration during uniaxial compression of marble[J]. International Journal of Rock Mechanics and Mining Sciences,2020,131:104330.
[10] ZHOU X P,ZHANG J Z,NGAI L,et al. Experimental study on the growth,coalescence and wrapping behaviors of 3D cross?embedded flaws under uniaxial compression[J]. Rock Mechanics and Rock Engineering,2018,51:1 379–1 400.
[11] 李术才,李廷春,王 刚,等. 单轴压缩作用下内置裂隙扩展的 CT 扫描试验[J]. 岩石力学与工程学报,2007,26(3):484–492.(LI Shucai,LI Tingchun,WANG Gang,et al. CT real-time scanning tests on rock specimens with artificial initial crack under uniaxial conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(3):484–492.(in Chinese))
[12] FAN L F,GAO J W,WU Z J,et al. An investigation of thermal effects on micro-properties of granite by X-ray CT technique[J]. Applied Thermal Engineering,2018,140:505–519.
[13] ZHANG J,PENG W H,LIU F Y,et al. Monitoring rock failure processes using the Hilbert–Huang transform of acoustic emission signals[J]. Rock Mechanics and Rock Engineering,2016,49(2):427–442.
[14] ZHOU X P,ZHANG J Z,BERTO F. Fracture analysis in brittle sandstone by digital imaging and AE techniques:role of flaw length ratio[J]. Journal of Materials in Civil Engineering,2020,32(5):04020085.
[15] ZHANG J,LI Y W,CHE M G,et al. Energy-based brittleness index and acoustic emission characteristics of anisotropic coal under triaxial stress condition[J]. Rock Mechanics and Rock Engineering,2018,51(11):3 343–3 360.
[16] 尤明庆,华安增. 岩石试样破坏过程的能量分析[J]. 岩石力学与工程学报,2002,21(6):778–781.(YOU Mingqing,HUA Anzeng. Energy analysis on failure process of rock specimens[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(6):778–781.(in Chinese))
[17] XIE H P,LI L Y,PENG R D,et al. Energy analysis and criteria for structural failure of rocks[J]. Journal of Rock Mechanics and Geotechnical Engineering,2009,1(1):11–20.
[18] 张志镇,高 峰. 受载岩石能量演化的围压效应研究[J]. 岩石力学与工程学报,2015,34(1):1–11.(ZHANG Zhizhen,GAO Feng. Confining pressure effect on rock energy[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(1):1–11.(in Chinese))
[19] 张 军,艾 池,李玉伟,等. 基于岩石破坏全过程能量演化的脆性评价指数[J]. 岩石力学与工程学报,2017,36(6):1 326–1 340. (ZHANG Jun,AI Chi,LI Yuwei,et al. Brittleness evaluation index based on energy variation in the whole process of rock failure[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(6):1 326–1 340.(in Chinese))
[20] GONG F Q,YAN J Y,LUO S,et al. Investigation on the linear energy storage and dissipation laws of rock materials under uniaxial compression[J]. Rock Mechanics and Rock Engineering,2019,52:4 237–4 255.
[21] 徐 颖,李成杰,郑强强,等. 循环加卸载下泥岩能量演化与损伤特性分析[J]. 岩石力学与工程学报,2019,38(10):2 084–2 091. (XU Ying,LI Chengjie,ZHENG Qiangqiang,et al. Analysis of energy evolution and damage characteristics of mudstone under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(10):2 084–2 091.(in Chinese))
[22] HUANG D,LI Y. Conversion of strain energy in triaxial unloading tests on marble[J]. International Journal of Rock Mechanics and Mining Sciences,2014,66:160–168.
[23] LI D Y,SUN Z,XIE T,et al. Energy evolution characteristics of hard rock during triaxial failure with different loading and unloading paths[J]. Engineering Geology,2017,228:270–281.
[24] 蒋长宝,魏 财,庄万军,等. 等幅循环荷载下页岩的变形特性及能量演化机制研究[J]. 岩石力学与工程学报,2020,39(12):2 416–2 428. (JIANG Changbao,WEI Cai,ZHUANG Wanjun,et al. Research on deformation characteristics and energy evolution mechanism of shale under constant amplitude cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(12):2 416–2 428.(in Chinese))
[25] 陈国庆,吴家尘,蒋万增,等. 基于弹性能演化全过程的岩石脆性评价方法[J]. 岩石力学与工程学报,2020,39(5):901–911.(CHEN Guoqing,WU Jiachen,JIANG Wanzeng,et al. An evaluation method of rock brittleness based on the whole process of elastic energy evolution[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(5):901–911.(in Chinese))
[26] 孟庆彬,王从凯,黄炳香,等. 三轴循环加卸载条件下岩石能量演化及分配规律[J]. 岩石力学与工程学报,2020,39(10):2 047–2 059. (MENG Qingbin,WANG Congkai,HUANG Bingxiang,et al. Rock energy evolution and distribution law under triaxial cyclic loading-unloading conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(10):2 047–2 059.(in Chinese))
[27] 唐胡丹,朱明礼,朱珍德,等. 高精度岩石试样预制三维单裂隙、多裂隙加工实验装置[P]. 中国:CN201710027573.7,2019–05–03.(TANG Hudan,ZHU Mingli,ZHU Zhende,et al. Prefabricated three-dimensional single-fracture and multi-fracture processing device for high-precision rock samples[P]. China:CN201710027573.7,2019–05–03.(in Chinese))
[28] ZHOU X P,ZHANG J Z,QIAN Q H,et al. Experimental investigation of progressive cracking processes in granite under uniaxial loading using digital imaging and AE techniques[J]. Journal of Structural Geology,2019,126:129–145.
[29] ZHANG J Z,ZHOU X P. Forecasting catastrophic rupture in brittle rocks using precursory AE time series[J]. Journal of Geophysical Research:Solid Earth,2020,125(8),https://doi.org/ 10.1029/2019JB019276.
[30] WAWERSIK W R,FAIRHURST C A. A study of brittle rock fracture in laboratory compression experiments[J]. International Journal of Rock Mechanics and Ming Science Geomechanics Abstracts,1970,7:561–564.
[31] MARTIN C D. Seventeenth Canadian geotechnical colloquium:the effect of cohesion loss and stress path on brittle rock strength[J]. Canadian Geotechnical Journal,1977,34:698–725.
[32] 朱其志. 多尺度岩石损伤力学[M]. 北京:科学出版社,2019:159–160.(ZHU Qizhi. Multi-scale rock damage mechanics[M]. Beijing:Science Press,2019:159–160.(in Chinese))
[33] ZHANG J Z,ZHOU X P. AE event rate characteristics of flawed granite:from damage stress to ultimate failure[J]. Geophysical Journal International,2020,222(2):795–814.
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