|
|
|
| Study on determination of uniaxial characteristic stress of coal rock under quasi-static strain rate |
| LIU Xiaohui1,2,HAO Qijun2,HU Ankui1,2,ZHENG Yu2 |
| (1. Key Laboratory of Fluid and Power Machinery of Ministry of Education,Xihua University,Chengdu,Sichuan 610039,China;2. School of Energy and Power Engineering,Xihua University,Chengdu,Sichuan 610039,China) |
|
|
|
|
Abstract Based on uniaxial compression tests of Furong Baijiao coal rock under quasi-static strain rate[10-5,10-2] s-1,the energy evolution law of coal rock deformation and failure process under different strain rates was analyzed. A new method for determining the characteristic stress of coal rock by using energy dissipation rate curve and lateral strain difference was proposed,and the variation law of the characteristic stress under the category of quasi-static strain was analyzed. The results show that the energy evolution of coal rock under different strain rates can be divided into three stages including crack closure,linear elasticity and rapid crack propagation,and the energy dissipation rate curves all show a trend of rising first,then falling and next rising in the pre-peak stage. The maximum and the minimum points of the energy dissipation rate curves are respectively defined as the crack closure stress and the damage stress ,and the lateral strain difference is calculated to determine the crack initiation stress combined with the obtained damage stress. The ratios of the characteristic stress to the peak stress of coal rock under different strain rates are compared,showing that all three ratios decrease with increasing the strain rate. Finally,the limitation of the traditional methods and the rationality and accuracy of the new method are compared and analyzed,and the engineering significance of the strain rate effect of the characteristic stress is proposed.
|
|
|
|
|
|
[1] 蔡美峰. 岩石力学与工程[M]. 北京:科学出版社,2013:1–8.(CAI Meifeng. Rock mechanics and engineering[M]. Beijing:Science Press,2013:1–8.(in Chinese))
[2] 刘晓辉,郝齐钧,吴世勇,等. 准静态应变率下的煤岩非线性力学特性[J]. 煤炭学报,2019,44(5):1 437–1 445.(LIU Xiaohui,HAO Qijun,WU Shiyong,et al. Nonlinear mechanical properties of coal rock under quasi-static strain rate[J]. Journal of China Coal Society,2019,44(5):1 437–1 445.(in Chinese))
[3] 谢和平,彭瑞东,鞠 杨. 岩石变形破坏过程中的能量耗散分析[J]. 岩石力学与工程学报,2004,23(21):3 565–3 570.(XIE Heping,PENG Ruidong,JU Yang. Energy dissipation of rock deformation and fracture[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(21):3 565–3 570.(in Chinese))
[4] 谢和平,鞠 杨,黎立云. 基于能量耗散与释放原理的岩石强度与整体破坏准则[J]. 岩石力学与工程学报,2005,24(17):3 003–3 010. (XIE Heping,JU Yang,LI Liyun. Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3 003–3 010.(in Chinese))
[5] 谢和平,彭瑞东,鞠 杨,等. 岩石破坏的能量分析初探[J]. 岩石力学与工程学报,2005,24(15):2 603–2 608.(XIE Heping,PENG Ruidong,JU Yang,et al. On energy analysis of rock failure[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(15):2 603–2 608.(in Chinese))
[6] 赵忠虎,谢和平. 岩石变形破坏过程中的能量传递和耗散研究[J]. 四川大学学报:工程科学版,2008,40(2):26–31.(ZHAO Zhonghu,XIE Heping. Energy transfer and energy dissipation in rock deformation and fracture[J]. Journal of Sichuan University:Engineering Science Edition,2008,40(2):26–31.(in Chinese))
[7] 刘晓辉,张 茹,刘建锋. 不同应变率下煤岩冲击动力试验研究[J]. 煤炭学报,2012,37(9):1 528–1 534.(LIU Xiaohui,ZHANG Ru,LIU Jianfeng. Dynamic test study of coal rock under different strain rates[J]. Journal of China Coal Society,2012,37(9):1 528–1 534.(in Chinese))
[8] 刘晓辉,张 茹,刘建锋. 冲击加载下煤岩破碎块度与能耗关系的试验研究[J]. 中国煤炭,2014,40(6):45–49.(LIU Xiaohui,ZHANG Ru,LIU Jianfeng. Experimental research on relationship between crushing size and energy consumption of coal rock under impact loading[J]. China Coal,2014,40(6):45–49.(in Chinese))
[9] 张文清,穆朝民,李重情. 冲击荷载下煤的动态力学性质研究[J]. 煤炭科学技术,2019,47(10):198–204.(ZHANG Wenqing,MU Chaomin,LI Zhongqing. Study on dynamic mechanical properties of coal under impact loading[J]. Coal Science and Technology,2019,47(10):198–204.(in Chinese))
[10] 李 峰,方书昊,田 静,等. 动载应变率对煤岩体损伤的模拟研究[J]. 煤矿安全,2018,49(5):218–221.(LI Feng,FANG Shuhao,TIAN Jing,et al. Simulation study on damage of coal and rock mass by dynamic load strain rate[J]. Safety in Coal Mines,2018,49(5):218–221.(in Chinese))
[11] 张文清,石必明,穆朝民. 冲击载荷作用下煤岩破碎与耗能规律实验研究[J]. 采矿与安全工程学报,2016,33(2):375–380.(ZHANG Wenqing,SHI Biming,MU Chaomin. Experimental research on failure and energy dissipation law of coal under impact load[J]. Journal of Mining and Safety Engineering,2016,33(2):375–380.(in Chinese))
[12] LU Y,LIU X,XIE J,et al. The energy evolution characteristics of coal under different dynamic strain rates and confining pressures[J]. Thermal Science,2019,23(3A):1 409–1 416.
[13] GONG F,YE H,LUO Y. The effect of high loading rate on the behaviour and mechanical properties of coal-rock combined body[J]. Shock and Vibration,2018,2018(PT.6):4374530.1–4374530.9.
[14] 何 江. 煤矿采动动载对煤岩体的作用及诱冲机理研究[博士学位论文][D]. 徐州:中国矿业大学,2013.(HE Jiang. Research of mining dynamic loading effect and its induced rock burst in coal mine[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2013.(in Chinese))
[15] 马振乾,姜耀东,李彦伟,等. 加载速率和围压对煤能量演化影响试验研究[J]. 岩土工程学报,2016,38(11):2 114–2 121.(MA Zhenqian,JIANG Yaodong,LI Yanwei,et al. Experimental research on influence of loading rate and confining pressure on energy evolution of coal[J]. Chinese Journal of Geotechnical Engineering,2016,38(11):2 114–2 121.(in Chinese))
[16] MENG Q,ZHANG M,HAN L,et al. Effects of acoustic emission and energy evolution of rock specimens under the uniaxial cyclic loading and unloading compression[J]. Rock Mechanics and Rock Engineering,2016,49(10):3 873–3 886.
[17] 王洪亮,范鹏贤,王明洋,等. 应变率对红砂岩渐进破坏过程和特征应力的影响[J]. 岩土力学,2011,32(5):1 340–1 346.(WANG Hongliang,FAN Pengxian,WANG Mingyang,et al. Influence of strain rate on progressive failure process and characteristic stresses of red sandstone[J]. Rock and Soil Mechanics,2011,32(5):1 340– 1 346.(in Chinese))
[18] BIENIAWSKI Z T. Mechanism of brittle fracture of rock:Part I—theory of the fracture process[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1967,4(4):395–406.
[19] BIENIAWSKI Z T. Mechanism of brittle fracture of rock:Part II—experimental studies[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1967,4(4):407–408.
[20] BIENIAWSKI Z T. Mechanism of brittle fracture of rock:Part III—fracture in tension and under long-term loading[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1967,4(4):425–426.
[21] MARTIN C D,CHANDLER N A. The progressive fracture of Lac du Bonnet granite[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1994,31(6):643–659.
[22] MARTIN C D. The strength of massive Lac du Bonnet granite around underground openings[Ph. D. Thesis][D]. Winnipeg,Manitoba:Department of Civil and Geological Engineering University of Manitoba,1993.
[23] EBERHARDT E D,STEAD D,STIMPSON B,et al. Identifying crack initiation and propagation thresholds in brittle rock[J]. Canadian Geotechnical Journal,1998,35(2):222–233.
[24] NICKSIAR M,MARTIN C D. Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks[J]. Rock Mechanics and Rock Engineering,2012,45(4):607–617.
[25] ZHAO X G,CAI M,WANG J,et al. Damage stress and acoustic emission characteristics of the Beishan granite[J]. International Journal of Rock Mechanics and Mining Sciences,2013,64(12):258–269.
[26] MORADIAN Z,EINSTEIN H H,BALLIVY G. Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals[J]. Rock Mechanics and Rock Engineering,2016,49(3):785–800.
[27] CHEN Y L,NI J,SHAO W,et al. Coalescence of fractures under uni-axial compression and fatigue loading[J]. Rock Mechanics and Rock Engineering,2012,45(2):241–249.
[28] YANG S Q,XU P,RANJITH P G. Damage model of coal under creep and triaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences,2015,80(8):337–345.
[29] NING J G,WANG J,JIANG J,et al. Estimation of crack initiation and propagation thresholds of confined brittle coal specimens based on energy dissipation theory[J]. Rock Mechanics and Rock Engineering,2017,51(1):119–134.
[30] 杜伟升. 冲击倾向性煤受载力学响应及能量演化特征研究[博士学位论文][D]. 北京:中国矿业大学(北京),2018.(DU Weisheng. Research on mechanical response and energy development characteristics of impact-prone coal[Ph. D. Thesis][D]. Beijing:China University of Mining and Technology(Beijing),2018.(in Chinese))
[31] ULUSAY R. The ISRM suggested methods for rock characterization,testing and monitoring:2007-2014[M]. Switzerland:Springer,2014:115–131.
[32] 中华人民共和国国家标准编写组. GB/T 23561.7—2009 煤和岩石物理力学性质测定方法[S] 北京:中国标准出版社,2009.(The National Standards Compilation Group of People¢s Republic of China. GB/T 23561.7—2009 Method for measuring physical and mechanical properties of coal and rock[S]. Beijing:Standards Press of China,2009.(in Chinese))
[33] 张志镇. 岩石变形破坏过程中的能量演化机制[博士学位论文][D]. 徐州:中国矿业大学,2013.(ZHANG Zhizhen. Energy evolution mechanism during rock deformation and failure[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2013.(in Chinese))
[34] LAJTAI E Z. Brittle fracture in compression[J]. International Journal of Fracture,1974,10(4):525–536.
[35] ZHAO X G,CAI M,WANG J,et al. Objective determination of crack initiation stress of brittle rocks under compression using ae measurement[J]. Rock Mechanics and Rock Engineering,2015,48(6):2 473–2 484.
[36] 范鹏贤,王明洋,钱七虎. 深部非均匀岩体卸载拉裂的时间效应和主要影响因素[J]. 岩石力学与工程学报,2010,29(7):1 389–1 396. (FAN Pengxian,WANG Mingyang,QIAN Qihu. Time effect and main influence factors of unloading splitting of deep-seated rock with nonuniformities[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(7):1 389–1 396.(in Chinese))
[37] 高美奔,李天斌,孟陆波,等. 岩石变形破坏各阶段强度特征值确定方法[J]. 岩石力学与工程学报,2016,35(增2):3 577–3 588. (GAO Meiben,LI Tianfu,MENG Lubo,et al. The method to identify characteristic stresses of rock in different stages during failure process[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(Supp.2):3 577–3 588.(in Chinese))
[38] 王明洋,范鹏贤,李文培. 岩石的劈裂和卸载破坏机制[J]. 岩石力学与工程学报,2010,29(2):234–241.(WANG Mingyang,FAN Pengxian,LI Wenpei. Mechanism of splitting and unloading failure of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(2):234–241.(in Chinese))
[39] 潘红宇,葛 迪,张天军,等. 应变率对岩石裂隙扩展规律的影响[J]. 煤炭学报,2018,43(3):675–683.(PAN Hongyu,GE Di,ZHANG Tianjun,et al. Influence of strain rate on the rock fracture propagation law[J]. Journal of China Coal Society,2018,43(3):675–683.(in Chinese))
[40] CAI M,KAISER P K,TASAKA Y,et al. 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.
[41] MARTIN C D,CHRISTIANSSON R. Estimating the potential for spalling around a deep nuclear waste repository in crystalline rock[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(2):219–228.
|
|
|
|