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| Variation of energy and criteria for strength failure of shale under traixial cyclic loading |
| LI Ziyun1,2,WU Guang1,HUANG Tianzhu2,LIU Yang2 |
| (1. Faculty of Geosciences and Environmental Engineering,Southwest Jiaotong University,Chengdu,Sichuan 611756,China;2. School of Civil Engineering and Architecture,Chongqing University of Science and Technology,Chongqing 401331,China) |
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Abstract The whole process of strain energy conversion of shale in absorbing the axial strain energy ,storing and releasing the elastic strain energy ,dissipating the energy for plastic deformation and cracks propagation,expending strain energy for circumferential deformation was studied based on the energy theory and the shale tests under traixial cyclic loading. The variation of shale energy was revealed,and the criteria for strength failure of shale was established based on the energy catastrophe. The variation of behavior of shale specimen under the different confining pressures in the test of traixial cyclic loading was found to be similar and dominated by the energy accumulation before the peak stress,then the energy dissipation and releasing were predominant in the failure stage after the peak stress,the energy accumulation restarted after the shale specimen reached its residual strength,but its efficiency and capability was inferior to those before peak stress. In the failure stage,the elastic strain energy was released in large quantities along the main fracture,the dissipating energy was consumed largely when the fractured rock mass frictionally slid along the main fracture,and the expending strain energy grew substantially with the radial strain. Comparing with that before the peak stress,the magnitude of the elastic strain energy and the dissipating energy in the stage of residual strength decreased substantially but have maintained stable while the expending strain energy increased a lot. The confining pressure did not affect much the energy ratio in the stage before the peak stress,but enhanced the efficiency and capbility of energy accumulation in the stage of residual strength. In the stage before the peak stress,the consumption ratio of elastic energy of shale and red sandstone decreased slowly with the axial strain,its changing rate went smoothly. In the failure stage,the inflection point of the elastic energy consumption ratio appears with a significant increasing in magnitude and growth rate.
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[1] 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))
[2] 谢和平,鞠 杨,黎立云,等. 岩体变形破坏过程的能量机制[J]. 岩石力学与工程学报,2008,27(9):1 729–1 740.(XIE Heping,JU Yang,LI Liyun,et al. Energy mechanism of deformation and failure of rock masses[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(9):1 729–1 740.(in Chinese))
[3] ZHANG Z Z,GAO F. Experimental investigation on the energy evolution of dry and water-saturated red sandstones[J]. International Journal of Mining Science and Technology,2015,25(3):383–388.
[4] 张志镇,高 峰. 3种岩石能量演化特征的试验研究[J]. 中国矿业大学学报,2015,44(3):416–422.(ZHANG Zhizhen,GAO Feng. Experimental investigations on energy evolution characteristics of coal,sandstone and granite during loading process[J]. Journal of China University of Mining and Technology,2015,44(3):416–422.(in Chinese))
[5] 张志镇,高 峰. 单轴压缩下岩石能量演化的非线性特性研究[J]. 岩石力学与工程学报,2012,31(6):1 198–1 207.(ZHANG Zhizhen,GAO Feng. Research on nonlinear characteristics of rock energy evolution under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(6):1 198–1 207.(in Chinese))
[6] 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))
[7] 张 媛,许 江,杨红伟,等. 循环荷载作用下围压对砂岩滞回环演化规律的影响[J]. 岩石力学与工程学报,2011,30(2):320–326.(ZHANG Yuan,XU Jiang,YANG Hongwei,et al. Effect of confining pressure on evolution law of hysteresis loop of sandstone under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(2):320–326.(in Chinese))
[8] 许 江,张 媛,杨红伟,等. 循环孔隙水压力作用下砂岩变形损伤的能量演化规律[J]. 岩石力学与工程学报,2011,30(1):141–148.(XU Jiang,ZANG Yuan,YANG Hongwei,et al. Energy evolution law of deformation and damage of sandstone under cyclic pore water pressures[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(1):141–148.(in Chinese))
[9] 苏承东,张振华. 大理岩三轴压缩的塑性变形与能量特征分析[J]. 岩石力学与工程学报,2008,27(2):273–280.(SU Chengdong,ZHANG Zhenhua. Analysis of plastic deformation and energy property of marble under pseudo-triaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(2):273–280.(in Chinese))
[10] 许国安,牛双建,靖洪文,等. 砂岩加卸载条件下能耗特征试验研究[J]. 岩土力学,2011,32(12):3 611–3 617.(XU Guoan,NIU Shuangjian,JING Hongwen,et al. Experimental study of energy features of sandstone under loading and unloading[J]. Rock and Soil Mechanics,2011,32(12):3 611–3 617.(in Chinese))
[11] 彭瑞东,鞠 杨,高 峰,等. 三轴循环加卸载下煤岩损伤的能量机制分析[J]. 煤炭学报,2014,39(2):245–252.(PENG Ruidong,JU Yang,GAO Feng,et al. Energy analysis on damage of coal under cyclical triaxial loading and unloading conditions[J]. Journal of China Coal Society,2014,39(2):245–252.(in Chinese))
[12] 杨圣奇,徐卫亚,苏承东. 岩样单轴压缩变形破坏与能量特征研究[J]. 固体力学学报,2006,(2):213–216.(YANG Shengqi,XU Weiya,SU Chengdong,Study on the deformation failure and energy properties of rock specimen in uniaxial compression[J]. Chinese Journal of Solid Mechanics,2006,(2):213–216. (in Chinese))
[13] 杨圣奇,徐卫亚,苏承东. 大理岩三轴压缩变形破坏与能量特征研究[J]. 工程力学,2007,(1):136–142.(YANG Shengqi,XU Weiya,SU Chengdong. Study on the deformation failure and energy properties of marble specimen under triaxial compression[J]. Engineering Mechanics,2007,(1):136–142.(in Chinese))
[14] 黄 达,谭 清,黄润秋. 高应力强卸荷条件下大理岩损伤破裂的应变能转化过程机制研究[J]. 岩石力学与工程学报,2012,31(12):2 483–2 493.(HUANG Da,TAN Qing,HUANG Runqiu. Mechanism of strain energy conversion process for marble damage and fracture under high stress and rapid unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(12):2 483–2 493.(in Chinese))
[15] 刘江伟,黄炳香,魏民涛. 单轴循环荷载对煤弹塑性和能量积聚耗散的影响[J]. 辽宁工程技术大学学报:自然科学版,2012,31(1):26–30.(LIU Jiangwei,HUANG Bingxiang,WEI Mintao. Influence of cyclic uniaxial loading on coal elastic-plastic properties and energy accumulation and dissipation[J]. Journal of Liaoning Technical University:Natural Science,2012,31(1):26–30.(in Chinese))
[16] 张黎明,高 速,王在泉,等. 大理岩加卸荷破坏过程的能量演化特征分析[J]. 岩石力学与工程学报,2013,32(8):1 572–1 578. (ZHANG Liming,GAO Su,WANG Zaiquan,et al. Analysis of marble failure energy evolution under loading and unloading conditions[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(8):1 572–1 578.(in Chinese))
[17] 金丰年,蒋美蓉,高小玲. 基于能量耗散定义损伤变量的方法[J]. 岩石力学与工程学报,2004,23(12):1 976–1 980.( JIN Fengnian,JIANG Meirong,GAO Xiaoling. Defining damage variable based on energy dissipation[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(12):1 976–1 980.(in Chinese))
[18] LIU X S,NING J G,TAN Y L,et al. Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading[J]. International Journal of Rock Mechanics and Mining Sciences,2016,85(1):27–32.
[19] 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))
[20] 蔡美峰,孔广亚,贾立宏. 岩体工程系统失稳的能量突变判断准则及其应用[J]. 北京科技大学学报,1997,(4):325–328.(CAI Meifeng,KONG Guangya,JIA Lihong. Criterion of energy catastrophe for rock project system failure in underground engineering[J]. Journal of University of Science and Technology Beijing,1997,(4):325–328.(in Chinese))
[21] 付建新,宋卫东,谭玉叶. 考虑卸荷应力路径的深部采空区失稳局部能量释放判别准则[J]. 岩石力学与工程学报,2016,35(2):217–224.(FU Jianxin,SONG Weidong,TAN Yuye. Criterion of local energy release of gob destabilization in deep mines under unloading stress path[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(2):217–224.(in Chinese))
[22] 涂义亮,刘新荣,钟祖良,等. 三类边坡失稳判据的统一性[J]. 岩土力学,2008(待刊).(TU Yiliang,LIU Xinrong,ZHONG Zuliang,et al. The unity of three types of slope failure criteria[J]. Rock and Soil Mechanics,2008(to be pressed).(in Chinese))
[23] TU Y L,LIU X R,ZHONG Z L,et al. New criteria for defining slope failure using the strength reduction method[J]. Engineering Geology,2016,212(1):63–71.
[24] 刘新荣,涂义亮,钟祖良,等. 基于能量突变的强度折减法边坡失稳判据[J]. 中南大学学报:自然科学版,2016,47(6):2 065–2 072. (LIU Xinrong,TU Yiliang,ZHONG Zuliang,et al. Slope?s failure criterion based on energy catastrophe in shear strength reduction method[J]. Journal of Central South University:Science and Technology,2016,47(6):2 065–2 072.(in Chinese))
[25] 刘 镇,周翠英. 隧道变形失稳的能量演化模型与破坏判据研究[J]. 岩土力学,2010,31(增2):131–137.(LIU Zhen,ZHOU Cuiying. Research on failure criterion and energy evolution model of tunnel deformation instability[J]. Journal of China Coal Society,2010,31(Supp.2):131–137.(in Chinese))
[26] 中华人民共和国行业标准编写组SL264—2001水利水电工程岩石试验规程[S]. 北京:中国水利水电出版社,2001.(The Professional Standards Compilation Group of People?s Republic of China. SL264—2001 Specifications for rock tests in water conservancy and hydroelectric engineering[S]. Beijing:China Water Power Press,2001.(in Chinese)) |
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