田下凝灰岩应力松弛特性及数值模拟研究
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摘要
岩石应力松弛特性是预测地下工程长期稳定性的重要基础。首先,对峰前、峰值和峰后区域应变水平下田下凝灰岩进行分别加载应力松弛试验,研究松弛过程中应力变化规律,并分析了应力松弛水平随应变水平的变化规律;其次;对田下凝灰岩进行分级加载应力松弛试验,研究分级加载条件下应力的变化规律,试验结果表明,分级加载和分别加载应力松弛具有相同的规律,且峰值处、峰值后的应力松弛特与峰值前的基本相似;最后,利用基于弹簧模型的可变模量本构方程对田下凝灰岩应力松弛试验进行数值模拟,试验结果与计算结果一致性很好,表明该本构方程可以较好的描述田下凝灰岩的应力松弛特性,可以预测工程流变破坏寿命。
Relaxation properties of rocks are important to forecast long-term stability of underground engineering.First,the relaxation tests of Tage Tuff were carried out under strain level in pre-failure region,peak strength and postfailure region by single-stage loading condition,and the law of relaxation was investigated from the testing results The law of stress level variety with strain level was analyzed. Second,the same relaxation of Tage Tuff was done by multistage loading condition. The testing results show that there are the same law of relaxation properties by the two loading condition,and relaxation properties in peak strength,post-failure region of Tage Tuff are almost similar with that in pre-failure region. Finally,the testing results are numerically simulated by the non-linear spring model,coinciding well with experimental results. It shows that the constitutive equation is suitable to describe stress relaxation properties of Tage Tuff,and rheologic failure life of practical engineering may be forecasted by it.
Relaxation properties of rocks are important to forecast long-term stability of underground engineering.First,the relaxation tests of Tage Tuff were carried out under strain level in pre-failure region,peak strength and postfailure region by single-stage loading condition,and the law of relaxation was investigated from the testing results The law of stress level variety with strain level was analyzed. Second,the same relaxation of Tage Tuff was done by multistage loading condition. The testing results show that there are the same law of relaxation properties by the two loading condition,and relaxation properties in peak strength,post-failure region of Tage Tuff are almost similar with that in pre-failure region. Finally,the testing results are numerically simulated by the non-linear spring model,coinciding well with experimental results. It shows that the constitutive equation is suitable to describe stress relaxation properties of Tage Tuff,and rheologic failure life of practical engineering may be forecasted by it.
引文
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[13]张骞,李术才,李利平,等.岩石三轴压缩峰后曲线与抗剪强度参数关系探讨[J].地下空间与工程学程学报,2015,11(3):642-646.(Zhang Qian,Li Shucai,Li Liping,et al.Discussion on relationship between post-peak curves and shear strength parameters of rock subjected to triaxial compression[J].Chinese Journal of Underground Space and Engineering,2015,11(3):642-646.(in Chinese))
[14]张海龙,许江,大久保诚介,等.基于应力归还控制的岩石荷载速率依存性研究[J].岩石力学与工程,2017,36(1):93-106.(Zhang Hailong,Xu Jiang,Okubo S,et al.Research on loading-rate dependence of rocks by stress-feedback controlling method[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(1):93-106.(in Chinese))
[15]于怀昌,李亚丽,刘汉东.粉砂质泥岩常规力学、蠕变以及应力松弛特性的对比研究[J].岩石力学与工程学报,2012,31(1):60-70.(Yu Huaichang,Li Yali,Liu Handong,et al.Comparative study of conventional mechanical,creep and stress relaxation properties of silty mudstone under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(1):60-70.(in Chinese))
[16]田洪铭,陈卫忠,肖正龙,等.泥质粉砂岩高围压三轴压缩松弛试验研究[J].岩土工程学报,2015,37(8):1433-1439.(Tian Hongming,Chen Weizhong,Xiao Zhenglong.Analysis of triaxial stress relaxation properties of argillaceous siltstone under high confining pressure[J].Chinese Journal of Geotechnical Engineering,2015,37(8):1433-1439.(in Chinese))
[17]金丰年,钱七虎.隧洞开挖的三维有限元计算[J].岩石力学与工程学报,1996,15(3):193-200.(Jin Fengnian,Qian Qihu.Simulation of three-dimension of tunnel excavation[J].Chinese Journal of Rock Mechanics and Engineering,1996,15(3):193-200.(in Chinese))
[18]雷鸣,羽柴公博,福井胜则,等.压密试验中破碎岩石压密特性的本构方程及数值模拟分析[J].岩石力学与工程学报,2011,30(6):1258-1265.(Lei Ming,Hashiba K,Fukui K,et al.Constitutive equation and numerical simulation analysis for broken rock behaviors in compaction test[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1258-1265.(in Chinese))
[19]Okubo S,Fukui K.Brief note on a set of constants in a variable-compliance-type constitutive equation[J].Journal of the Mining and Materials Processing Institute of Japan,1997,113:561-564.(in Japanese)
[20]Okubo S,Fukui K,Gao X.Rheological behaviour and model for porous rocks under air-dried and watersaturated conditions[J].The Open Civil Engineering Journal,2008,2(1):88-98.
[21]Okubo S,Fukui K.Applicability of the variablecompliance-type constitutive equation to rock breakage by excavation machinery[J].Tunnelling and Underground Space Technology,2011,26(1):29-37.
[2]王军保,刘新荣,王铁行.灰质泥岩蠕变特性试验研究[J].地下空间与工程学报,2014,10(4):770-775.(Wang Junbao,Liu Xinrong,Wang Tiehang.Experimental study on creep property of lime mudstone[J].Chinese Journal of Underground Space and Engineering,2014,10(4):770-775.(in Chinese))
[3]宋勇军,雷胜友,邹翀,等.干燥与饱水状态下炭质板岩蠕变特性研究[J].地下空间与工程学报,2015,11(3):619-625.(Song Yongjun,Lei Shengyou,Zou Chong,et al.Study on creep characteristics of carbonaceous slates under dry and saturated states[J].Chinese Journal of Underground Space and Engineering,2015,11(3):619-625.(in Chinese))
[4]李永盛.单轴压缩条件下四种岩石的蠕变和松弛试验研究[J].岩石力学与工程学报,1995,14(1):39-47.(Li Yongsheng.Creep and relaxation of four kinds of rocks under uniaxial compression tests[J].Chinese Journal of Rock Mechanics and Engineering,1995,14(1):39-47.(in Chinese))
[5]苏承东,陈晓祥,袁瑞甫.单轴压缩分级松弛作用下煤样变形与强度特征分析[J].岩石力学与工程学报,2014,33(6):1135-1141.(Su Chengdong,Chen Xiaoxiang,Yuan Ruifu.Analysis of deformation and strength characteristics of coal samples under uniaxial compression of stepped relaxation[J].Chinese Journal of Rock Mechanics and Enginnering,2014,33(6):1135-1141.(in Chinese))
[6]唐礼忠,潘长良.岩石在峰值荷载变形条件下的松弛试验研究[J].岩土力学,2003,24(6):940-942.(Tang Lizhong,Pan Changliang.Experiment study on properties of stress relaxation of rock under deformation at peak load[J].Rock and Soil Mechanics,2003,24(6):940-942.(in Chinese))
[7]于怀昌,周敏,刘汉东,等.粉砂质泥岩三轴压缩应力松弛特性试验研究[J].岩石力学与工程学报,2011,30(4):803-811.(Yu Huaichang,Zhou Min,Liu Handong,et al.Experimental investigation on stress relaxation properties of silty mudstone under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(4):803-811.(in Chinese))
[8]杨春和,殷建华,Daemen J J K.盐岩应力松弛效应的研究[J].岩石力学与工程学报,1999,18(3):262-265.(Yang Chunhe,Yin Jianhua,Daemen J J K.Investigation on stress relaxation of salt rock[J].Chinese Journal of Rock Mechanics and Engineering,1999,18(3):262-265.(in Chinese))
[9]张泷,刘耀儒,杨强.基于内变量热力学的岩石蠕变与应力松弛研究[J].岩石力学与工程学报,2015,34(4):755-762.(Zhang Long,Liu Yaoru,Yang Qiang.Creep and relaxation of rock mass based on thermodynamics with in ternal state varibales[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(4):755-762.(in Chinese))
[10]Okubo S,Fukui K.An analytical investigation of a variable-compliance-type constitutive equation[J].Rock Mechanics and Rock Enginnering,2006,39(3):233-253.
[11]Wawersik W,Fairhurst C.A study of brittle rock fracture in laboratory compression experiments[J].International Journal of Rock Mechanics&Mining Sciences,1970,7(5),561-575.
[12]陈云娟,朱维申,王知深,等.裂隙岩体表征单元体的确定及工程应用[J].地下空间与工程学程,2016,12(1):25-29.(Chen Yunjuan,Zhu Weishen,Wang Zhishen,et al.Determination of representative elementary volume of fractured rock mass and its engineering application[J].Chinese Journal of Underground Space and Engineering,2016,12(1):25-29.(in Chinese))
[13]张骞,李术才,李利平,等.岩石三轴压缩峰后曲线与抗剪强度参数关系探讨[J].地下空间与工程学程学报,2015,11(3):642-646.(Zhang Qian,Li Shucai,Li Liping,et al.Discussion on relationship between post-peak curves and shear strength parameters of rock subjected to triaxial compression[J].Chinese Journal of Underground Space and Engineering,2015,11(3):642-646.(in Chinese))
[14]张海龙,许江,大久保诚介,等.基于应力归还控制的岩石荷载速率依存性研究[J].岩石力学与工程,2017,36(1):93-106.(Zhang Hailong,Xu Jiang,Okubo S,et al.Research on loading-rate dependence of rocks by stress-feedback controlling method[J].Chinese Journal of Rock Mechanics and Engineering,2017,36(1):93-106.(in Chinese))
[15]于怀昌,李亚丽,刘汉东.粉砂质泥岩常规力学、蠕变以及应力松弛特性的对比研究[J].岩石力学与工程学报,2012,31(1):60-70.(Yu Huaichang,Li Yali,Liu Handong,et al.Comparative study of conventional mechanical,creep and stress relaxation properties of silty mudstone under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(1):60-70.(in Chinese))
[16]田洪铭,陈卫忠,肖正龙,等.泥质粉砂岩高围压三轴压缩松弛试验研究[J].岩土工程学报,2015,37(8):1433-1439.(Tian Hongming,Chen Weizhong,Xiao Zhenglong.Analysis of triaxial stress relaxation properties of argillaceous siltstone under high confining pressure[J].Chinese Journal of Geotechnical Engineering,2015,37(8):1433-1439.(in Chinese))
[17]金丰年,钱七虎.隧洞开挖的三维有限元计算[J].岩石力学与工程学报,1996,15(3):193-200.(Jin Fengnian,Qian Qihu.Simulation of three-dimension of tunnel excavation[J].Chinese Journal of Rock Mechanics and Engineering,1996,15(3):193-200.(in Chinese))
[18]雷鸣,羽柴公博,福井胜则,等.压密试验中破碎岩石压密特性的本构方程及数值模拟分析[J].岩石力学与工程学报,2011,30(6):1258-1265.(Lei Ming,Hashiba K,Fukui K,et al.Constitutive equation and numerical simulation analysis for broken rock behaviors in compaction test[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1258-1265.(in Chinese))
[19]Okubo S,Fukui K.Brief note on a set of constants in a variable-compliance-type constitutive equation[J].Journal of the Mining and Materials Processing Institute of Japan,1997,113:561-564.(in Japanese)
[20]Okubo S,Fukui K,Gao X.Rheological behaviour and model for porous rocks under air-dried and watersaturated conditions[J].The Open Civil Engineering Journal,2008,2(1):88-98.
[21]Okubo S,Fukui K.Applicability of the variablecompliance-type constitutive equation to rock breakage by excavation machinery[J].Tunnelling and Underground Space Technology,2011,26(1):29-37.
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