脆性岩石卸载流变失效的细观力学模型研究
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摘要
围压卸载路径对于地下工程开挖过程围岩稳定性有着重要的影响.微裂纹扩展对深部地下工程中脆性围岩流变失效有着重要的意义.本文通过耦合翼型裂纹模型、裂纹扩展法则及一个裂纹长度与应变关系,提出了一个宏细观力学模型.其中裂纹长度与应变关系通过宏细观损伤联系得到.然后,将一个围压卸载路径函数引入该宏细观力学模型,理论分析了围压卸载路径对裂纹扩展作用下下的脆性岩石流变特性的影响.通过围压分级卸载试验结果验证了本文理论模型的合理性.并分析了模型参数对围压卸载下流变失效特性影响.研究了围压卸载后,继续加载时机及加载大小对流变特性影响.其对脆性围岩深大地下工程设计及施工提供了一定的理论基础.
The unloading path of confining pressure has an important influence on the stability of surrounding rock during underground excavation.Microcrack growth has a great significance for the rheological failure of brittle surrounding rock in deep underground.Coupling the wing crack model,the crack growth law and the crack growth-strain relation,a macro-micro mechanical model was proposed.The crack growth-strain relation was established by the correlation of micromechanical and macroscopic damage.A stress path function of unloading for confining pressure was implemented in the macro-micro model.The rheological behaviors caused by microcracks growth were studied under the unloading of confining pressure.Rationality of the suggested model was verified by the rheological experimental results under step unloading of confining pressure.Influences of model parameters on rheological failure under unloading of confining pressure were analyzed.Influences of loading time and size on rheological failure after unloading of confining pressure were also studied.The studies provide a theoretical help for design and construction of deep underground engineering.
The unloading path of confining pressure has an important influence on the stability of surrounding rock during underground excavation.Microcrack growth has a great significance for the rheological failure of brittle surrounding rock in deep underground.Coupling the wing crack model,the crack growth law and the crack growth-strain relation,a macro-micro mechanical model was proposed.The crack growth-strain relation was established by the correlation of micromechanical and macroscopic damage.A stress path function of unloading for confining pressure was implemented in the macro-micro model.The rheological behaviors caused by microcracks growth were studied under the unloading of confining pressure.Rationality of the suggested model was verified by the rheological experimental results under step unloading of confining pressure.Influences of model parameters on rheological failure under unloading of confining pressure were analyzed.Influences of loading time and size on rheological failure after unloading of confining pressure were also studied.The studies provide a theoretical help for design and construction of deep underground engineering.
引文
[1] 徐平,杨挺青,徐春敏,等.三峡船闸高边坡岩体时效特性及长期稳定性分析[J].岩石力学与工程学报,2002,21(2):163-168 Xu Ping,Yang Tingqing,Xu Chunmin,et al.Creep characteristic and longterm stability of rock mass in ship lock high slope of the three gorges project[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(2):163-168
[2] 黄润秋,黄达,段绍辉,等.锦屏Ⅰ级水电站地下厂房施工期围岩变形开裂特征及地质力学机制研究[J].岩石力学与工程学报,2011,30(1):23-35 Huang Runqiu,Huang Da,Duan Shaohui,et al.Geomechanics mechanism and characteristics of surrounding rock mass deformation failure in construction phase for underground powerhouse of jinping I hydropower station[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(1):23-35
[3] 周秋娟,陈晓平.典型基坑开挖卸荷路径下软土三轴流变特性研究[J].岩土力学,2013,34(5):1299-1305 Zhou Qiujuan,Chen Xiaoping.Research on rheological properties of soft clay under typical pit unloading paths[J].Rock and Soil Mechanics,2013,34(5):1299-1305
[4] 徐平,周火明.高边坡岩体开挖卸荷效应流变数值分析[J].岩石力学与工程学报,2000,19(4):481-485 Xu Ping,Zhou Huoming.Rheological analysis on rock mass of high slope considering effects of excavation unloading[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(4):481-485
[5] 闫子舰,夏才初,李宏哲,等.分级卸荷条件下锦屏大理岩流变规律研究[J].岩石力学与工程学报,2008,27(10):2153-2159 Yan Zijian,Xia Caichu,Li Hongzhe,et al.Study on rheological rules of marble in jinping hydropower station under condition of step unloading[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(10):2153-2159
[6] 朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变试验及非线性损伤蠕变本构模型研究[J].岩石力学与工程学报,2010,29(3):528-534 Zhu Jiebing,Wang Bin,Wu Aiqing.Study of unloading triaxial rheological tests and its nonlinear damage constitutive model of jinping hydropower station green sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(3):528-534
[7] 黄达,杨超,黄润秋,等.分级卸荷量对大理岩三轴卸荷蠕变特性影响规律试验研究[J].岩石力学与工程学报,2015,34(增1):2801-2807 Huang Da,Yang Chao,Huang Runqiu,et al.Experimental research of unloading triaxial rheological characteristics of marble affected by different step unloading values[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(S1):2801-2807
[8] 夏才初,闫子舰,王晓东,等.大理岩卸荷条件下弹黏塑性本构关系研究[J].岩石力学与工程学报,2009,28(3):459-466 Xia Caichu,Yan Zijian,Wang Xiaodong,et al.Research on elastoviscopastic constitutive relation of marble under unloading condition[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(3):459-466
[9] 原先凡,邓华锋,李建林.砂质泥岩卸荷流变本构模型研究[J].岩土工程学报,2015,37(9):1733-1739 Yuan Xianfan,Deng Huafeng,Li Jianlin.Unloading rheological constitutive model for sandy mudstone[J].Chinese Journal of Geotechnical Engineering,2015,37(9):1733-1739
[10] 张龙云,张强勇,杨尚阳,等.大岗山坝区辉绿岩卸围压三轴流变试验及分析[J].中南大学学报(自然科学版),2015,46(3):1034-1042 Zhang Longyun,Zhang Qiangyong,Yang Shangyang,et al.Analysis of unloading confining pressure triaxial rheological tests of diabase in Dagangshan dam side[J].Journal of Central South University (Science and Technology),2015,46(3):1034-1042
[11] 何满潮,赵菲,杜帅,等.不同卸载速率下岩爆破坏特征试验分析[J].岩土力学,2014,35(10):2737-2747 He Manchao,Zhao Fei,Du Shuai,et al.Rockburst characteristics based on experimental tests under different unloading rates[J].Rock and Soil Mechanics,2014,35(10):2737-2747
[12] He M C,Miao J L,Feng J L.Rock burst process of limestone and its acoustic emission characteristics under truetriaxial unloading conditions[J].International Journal of Rock Mechanics & Mining Sciences,2010,47(2):286-298
[13] 赵延林,曹平,万文,等.随机卸荷岩体裂纹流变断裂模型与数值模拟[J].中南大学学报(自然科学版),2015,46(12):4647-4656 Zhao Yanlin,Cao Ping,Wan Wen,et al.Model and numerical simulation of rheological fracture of random unloading rock mass cracks[J].Journal of Central South University (Science and Technology),2015,46(12):4647-4656
[14] Ashby M F,Hallam S D.The failure of brittle solids containing small cracks under compressive stress states[J].Acta Metall,1986,34(3):497-510
[15] Ashby M F,Sammis C G.The damage mechanics of brittle solids in compression[J].Pure and Applied Geophysics,1990,133(3):489-521
[16] Atkinson B K.Subcritical crack growth in geological materials[J].J Geophys Res,1984,89(B6):4077-4114
[17] Bhat H S,Sammis C G,Rosakis A J.The micromechanics of Westerly granite at large compressive loads[J].Pure And Applied Geophysics,2011,168(12):1-18
[18] 邵珠山,李晓照.基于细观力学的脆性岩石长期蠕变失效研究[J].岩石力学与工程学报,2016(增1):2644-2652 Shao Zhushan,Li Xiaozhao.Research on long-term creep failure of brittle rock based on micromechanics[J].Chinese Journal of Rock Mechanics and Engineering,2016(S1):2644-2652
[19] 万琳辉,曹平,黄永恒,等.水对岩石亚临界裂纹扩展及门槛值的影响研究[J].岩土力学,2010,31(9):2737-2742 Wan Linhui,Cao Ping,Huang Yongheng,et al.Study of subcritical crack growth of rocks and threshold values in different environments[J].Rock and Soil Mechanics,2010,31(9):2737-2742
[20] 伍国军,陈卫忠,曹俊杰,等.工程岩体非线性蠕变损伤力学模型及其应用[J].岩石力学与工程学报,2010,29(6):1184-1191 Wu Guojun,Chen Weizhong,Cao Junjie,et al.Nonlinear creep damage model of engineered rock and its application[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(6):1184-1191
[21] 汪斌,朱杰兵,邬爱清,等.锦屏大理岩加、卸载应力路径下力学性质试验研究[J].岩石力学与工程学报,2008,27(10):2138-2145 Wang Bin,Zhu Jiebing,Wu Aiqing,et al.Experimental study on mechanical properties of jinping marble under loading and unloading stress paths[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(10):2138-2145
[22] 李欣,高谦,刘增辉,等.金川Ⅲ矿区硐室围岩蠕变特性与支护时机[J].北京科技大学学报,2011,33(10):1182-1189 Li Xin,Gao Qian,Liu Zenghui,et al.Creep features of surrounding rock and supporting time for the chamber in Jinchuan Mine No.3[J].Journal of University of Science and Technology Beijing,2011,33(10):1182-1189
[23] 杨建平,陈卫忠,郭小红.小净距公路隧道支护时机对围岩稳定性影响研究[J].岩土力学,2008,29(2):483-490 Yang Jianping,Chen Weizhong,Guo Xiaohong.Effect of supporting time on stability of small spacing roadway tunnel[J].Rock and Soil Mechanics,2008,29(2):483-490
[24] 王中文,方建勤,夏才初,等.考虑围岩蠕变特性的隧道二衬合理支护时机确定方法[J].岩石力学与工程学报,2010,29(增1):3241-3246 Wang Zhongwen,Fang Jianqin,Xia Caichu.Determination method of supporting time for secondary lining in tunnel considering rock creep behaviors[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(S1):3241-3246
[2] 黄润秋,黄达,段绍辉,等.锦屏Ⅰ级水电站地下厂房施工期围岩变形开裂特征及地质力学机制研究[J].岩石力学与工程学报,2011,30(1):23-35 Huang Runqiu,Huang Da,Duan Shaohui,et al.Geomechanics mechanism and characteristics of surrounding rock mass deformation failure in construction phase for underground powerhouse of jinping I hydropower station[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(1):23-35
[3] 周秋娟,陈晓平.典型基坑开挖卸荷路径下软土三轴流变特性研究[J].岩土力学,2013,34(5):1299-1305 Zhou Qiujuan,Chen Xiaoping.Research on rheological properties of soft clay under typical pit unloading paths[J].Rock and Soil Mechanics,2013,34(5):1299-1305
[4] 徐平,周火明.高边坡岩体开挖卸荷效应流变数值分析[J].岩石力学与工程学报,2000,19(4):481-485 Xu Ping,Zhou Huoming.Rheological analysis on rock mass of high slope considering effects of excavation unloading[J].Chinese Journal of Rock Mechanics and Engineering,2000,19(4):481-485
[5] 闫子舰,夏才初,李宏哲,等.分级卸荷条件下锦屏大理岩流变规律研究[J].岩石力学与工程学报,2008,27(10):2153-2159 Yan Zijian,Xia Caichu,Li Hongzhe,et al.Study on rheological rules of marble in jinping hydropower station under condition of step unloading[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(10):2153-2159
[6] 朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变试验及非线性损伤蠕变本构模型研究[J].岩石力学与工程学报,2010,29(3):528-534 Zhu Jiebing,Wang Bin,Wu Aiqing.Study of unloading triaxial rheological tests and its nonlinear damage constitutive model of jinping hydropower station green sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(3):528-534
[7] 黄达,杨超,黄润秋,等.分级卸荷量对大理岩三轴卸荷蠕变特性影响规律试验研究[J].岩石力学与工程学报,2015,34(增1):2801-2807 Huang Da,Yang Chao,Huang Runqiu,et al.Experimental research of unloading triaxial rheological characteristics of marble affected by different step unloading values[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(S1):2801-2807
[8] 夏才初,闫子舰,王晓东,等.大理岩卸荷条件下弹黏塑性本构关系研究[J].岩石力学与工程学报,2009,28(3):459-466 Xia Caichu,Yan Zijian,Wang Xiaodong,et al.Research on elastoviscopastic constitutive relation of marble under unloading condition[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(3):459-466
[9] 原先凡,邓华锋,李建林.砂质泥岩卸荷流变本构模型研究[J].岩土工程学报,2015,37(9):1733-1739 Yuan Xianfan,Deng Huafeng,Li Jianlin.Unloading rheological constitutive model for sandy mudstone[J].Chinese Journal of Geotechnical Engineering,2015,37(9):1733-1739
[10] 张龙云,张强勇,杨尚阳,等.大岗山坝区辉绿岩卸围压三轴流变试验及分析[J].中南大学学报(自然科学版),2015,46(3):1034-1042 Zhang Longyun,Zhang Qiangyong,Yang Shangyang,et al.Analysis of unloading confining pressure triaxial rheological tests of diabase in Dagangshan dam side[J].Journal of Central South University (Science and Technology),2015,46(3):1034-1042
[11] 何满潮,赵菲,杜帅,等.不同卸载速率下岩爆破坏特征试验分析[J].岩土力学,2014,35(10):2737-2747 He Manchao,Zhao Fei,Du Shuai,et al.Rockburst characteristics based on experimental tests under different unloading rates[J].Rock and Soil Mechanics,2014,35(10):2737-2747
[12] He M C,Miao J L,Feng J L.Rock burst process of limestone and its acoustic emission characteristics under truetriaxial unloading conditions[J].International Journal of Rock Mechanics & Mining Sciences,2010,47(2):286-298
[13] 赵延林,曹平,万文,等.随机卸荷岩体裂纹流变断裂模型与数值模拟[J].中南大学学报(自然科学版),2015,46(12):4647-4656 Zhao Yanlin,Cao Ping,Wan Wen,et al.Model and numerical simulation of rheological fracture of random unloading rock mass cracks[J].Journal of Central South University (Science and Technology),2015,46(12):4647-4656
[14] Ashby M F,Hallam S D.The failure of brittle solids containing small cracks under compressive stress states[J].Acta Metall,1986,34(3):497-510
[15] Ashby M F,Sammis C G.The damage mechanics of brittle solids in compression[J].Pure and Applied Geophysics,1990,133(3):489-521
[16] Atkinson B K.Subcritical crack growth in geological materials[J].J Geophys Res,1984,89(B6):4077-4114
[17] Bhat H S,Sammis C G,Rosakis A J.The micromechanics of Westerly granite at large compressive loads[J].Pure And Applied Geophysics,2011,168(12):1-18
[18] 邵珠山,李晓照.基于细观力学的脆性岩石长期蠕变失效研究[J].岩石力学与工程学报,2016(增1):2644-2652 Shao Zhushan,Li Xiaozhao.Research on long-term creep failure of brittle rock based on micromechanics[J].Chinese Journal of Rock Mechanics and Engineering,2016(S1):2644-2652
[19] 万琳辉,曹平,黄永恒,等.水对岩石亚临界裂纹扩展及门槛值的影响研究[J].岩土力学,2010,31(9):2737-2742 Wan Linhui,Cao Ping,Huang Yongheng,et al.Study of subcritical crack growth of rocks and threshold values in different environments[J].Rock and Soil Mechanics,2010,31(9):2737-2742
[20] 伍国军,陈卫忠,曹俊杰,等.工程岩体非线性蠕变损伤力学模型及其应用[J].岩石力学与工程学报,2010,29(6):1184-1191 Wu Guojun,Chen Weizhong,Cao Junjie,et al.Nonlinear creep damage model of engineered rock and its application[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(6):1184-1191
[21] 汪斌,朱杰兵,邬爱清,等.锦屏大理岩加、卸载应力路径下力学性质试验研究[J].岩石力学与工程学报,2008,27(10):2138-2145 Wang Bin,Zhu Jiebing,Wu Aiqing,et al.Experimental study on mechanical properties of jinping marble under loading and unloading stress paths[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(10):2138-2145
[22] 李欣,高谦,刘增辉,等.金川Ⅲ矿区硐室围岩蠕变特性与支护时机[J].北京科技大学学报,2011,33(10):1182-1189 Li Xin,Gao Qian,Liu Zenghui,et al.Creep features of surrounding rock and supporting time for the chamber in Jinchuan Mine No.3[J].Journal of University of Science and Technology Beijing,2011,33(10):1182-1189
[23] 杨建平,陈卫忠,郭小红.小净距公路隧道支护时机对围岩稳定性影响研究[J].岩土力学,2008,29(2):483-490 Yang Jianping,Chen Weizhong,Guo Xiaohong.Effect of supporting time on stability of small spacing roadway tunnel[J].Rock and Soil Mechanics,2008,29(2):483-490
[24] 王中文,方建勤,夏才初,等.考虑围岩蠕变特性的隧道二衬合理支护时机确定方法[J].岩石力学与工程学报,2010,29(增1):3241-3246 Wang Zhongwen,Fang Jianqin,Xia Caichu.Determination method of supporting time for secondary lining in tunnel considering rock creep behaviors[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(S1):3241-3246
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