不同加载率作用下的岩石节理本构模型修正
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摘要
为了得到更为准确的岩石节理本构模型,在Instron1342伺服控制力学试验机上对岩石节理试样进行了不同加载速率作用下的法向压缩闭合试验,获得不同加载率下节理试样的闭合变形曲线,闭合曲线具有高度的非线性且向上弯曲,曲线斜率随着加载力的增大而增大,最后趋于定值。用五种常用的函数方程对节理闭合变形试验数据进行拟合,得到了拟合效果较好的改进的半对数和改进的指数函数。通过对试验数据的分析,研究了模型参数与加载率之间的关系,从而建立了考虑加载速率效应的节理压缩闭合经验本构模型,并得到试验验证。
In order to obtain a more accurate constitutive model of rock joints,the normal compression closure tests for the specimens of rock joints were carried out at different loading rates on an Instron1342 servo controlled mechanical testing machine. And the closure deformation curves of jointed specimens under different loading rates were obtained. The closure curves are highly nonlinear and bending upward. The slope of the curves increase with the increase of loading force and tend to a constant value at last. The improved semi-logarithm and the improved exponential function with good fitting effect were obtained by fitting the experimental data of joint closure deformation with five functional equations. Through the analysis of the experimental data,the relationship between the model parameters and the loading rate was studied,and the empirical constitutive model of joint compression closure considering the loading rate effect was established and verified by the experiments.
In order to obtain a more accurate constitutive model of rock joints,the normal compression closure tests for the specimens of rock joints were carried out at different loading rates on an Instron1342 servo controlled mechanical testing machine. And the closure deformation curves of jointed specimens under different loading rates were obtained. The closure curves are highly nonlinear and bending upward. The slope of the curves increase with the increase of loading force and tend to a constant value at last. The improved semi-logarithm and the improved exponential function with good fitting effect were obtained by fitting the experimental data of joint closure deformation with five functional equations. Through the analysis of the experimental data,the relationship between the model parameters and the loading rate was studied,and the empirical constitutive model of joint compression closure considering the loading rate effect was established and verified by the experiments.
引文
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[15]许万忠,林杭,曹日红.充填粗糙节理直剪数值模拟宏细观分析[J].西南交通大学学报,2018,53(3):548-557.XU Wan-zhong,LIN Hang,CAO Ri-hong.Simulation and macro-mesoscopic parameter analysis for direct shear of filled rough joints[J].Journal of Southwest Jiaotong University,2018,53(3):548-557.(in Chinese)
[16]王培涛,任奋华,谭文辉,等.单轴压缩试验下粗糙离散节理网络模型建立及力学特性[J].岩土力学,2017,38(S1):70-78.WANG Pei-tao,REN Fen-hua,TAN Wen-hui,et al.Model of roughness discrete fractures network for uniaxial compressive test and its mechanical properties[J].Rock and Soil Mechanics,2017,38(S1):70-78.(in Chinese)
[17]叶海旺,周建敏,余红兵,等.岩体结构面对爆破地震波传播规律影响分析[J].爆破,2016,33(1):12-18.YE Hai-wang,ZHOU Jian-min,YU Hong-bing,et al.Influence of rock structure planes on propagation of blasting seismic wave[J].Blasting,2016,33(1):12-18.(in Chinese)
[18]夏才初,孙宗颀.工程岩体节理力学[M].上海:同济大学出版社,2002.
[2]BANDIS S C,LUMSDEN A C,BARTON N R.Fundamentals of rock joint deformation[C]∥International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts.Pergamon,1983,20(6):249-268.
[3]BARTON N,BANDIS S C,BAKHTAR K.Strength,deformation and conductivity coupling of rock joints[J].International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1985,22(3):121-140.
[4]SUN Z.Fracture mechanics and tribology of rocks and rock joints[M].Division of Rock Mechanics University of Lulea,1983.
[5]MALAMA B,KULATILAKE P.Models for normal fracture deformation under compressive loading[J].International Journal of Rock Mechanics and Mining Sciences,2003,40(6):893-901.
[6]李夕兵,王卫华,马春德.不同频率载荷作用下的岩石节理本构模型[J].岩石力学与工程学报,2007,26(2):247-253.LI Xi-bing,WANG Wei-hua,MA Chun-de.Constitutive model of rock joints under compression loads with different frequencies[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(2):247-253.(in Chinese)
[7]周辉,孟凡震,张传庆,等.不同位置和尺寸的裂隙对岩体破坏影响的试验研究[J].岩石力学与工程学报,2015,34(S1):3018-3028.ZHOU Hui,MENG Fan-zhen,ZHANG Chuan-qing,et al.Experimental study on effect of joints with different locations and sizes on rock failure[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(S1):3018-3028.(in Chinese)
[8]唐志成,王晓川.不同接触状态岩石节理的剪切力学性质试验研究[J].岩土工程学报,2017,39(12):2312-2319.TANG Zhi-cheng,WANG Xiao-chuan.Experimental studies on mechanical behaviour of rock joints with varying matching degrees[J].Chinese Journal of Geotechnical Engineering,2017,39(12):2312-2319.(in Chinese)
[9]王佩新,曹平,蒲成志,等.单压下节理密度及倾角对类岩石试件强度及变形的影响[J].工程科学学报,2017,39(4):494-501.WANG Pei-xin,CAO Ping,PU Cheng-zhi,et al.Effect of the density and inclination of joints on the strength and deformation properties of rock-like specimens under uniaxial compression[J].Chinese Journal of Engineering,2017,39(4):494-501.(in Chinese)
[10]唐志成,黄润秋,焦玉勇,等.考虑基体变形和微凸体变形相互作用的岩石节理闭合变形理论模型[J].岩土工程学报,2017,39(10):1800-1806.TANG Zhi-cheng,HUANG Run-qiu,JIAO Yu-yong,et al.Theoretical closure model for rock joints considering interaction of deformations of substrate deformation and asperity[J].Chinese Journal of Geotechnical Engineering,2017,39(10):1800-1806.(in Chinese)
[11]俞缙,赵晓豹,赵维炳,等.改进的岩石节理弹性非线性法向变形本构模型研究[J].岩土工程学报,2008,30(9):1316-1321.YU Jin,ZHAO Xiao-bao,ZHAO Wei-bing,et al.Improved nonlinear elastic constitutive model for normal deformation of rock fractures[J].Chinese Journal of Geotechnical Engineering,2008,30(9):1316-1321.(in Chinese)
[12]刘红岩,王新生,张力民,等.非贯通节理岩体单轴压缩动态损伤本构模型[J].岩土工程学报,2016,38(3):426-436.LIU Hong-yan,WANG Xin-sheng,ZAHNG Li-min,et al.A dynamic damage constitutive model for rock mass with non-persistent joints under uniaxial compression[J].Chinese Journal of Geotechnical Engineering,2016,38(3):426-436.(in Chinese)
[13]王卫华,严哲,姜海涛,等.不同形貌节理对应力波传播影响的数值模拟[J].爆破,2017,34(2):34-39.WANG Wei-hua,YAN Zhe,JANG Hai-tao,et al.Numerical simulation on influence of different topography joints on stress wave propagation[J].Blasting,2017,34(2):34-39.(in Chinese)
[14]唐雯钰,林杭.不同锯齿高度对软弱结构面剪切特性的影响[J].中南大学学报(自然科学版),2017,48(5):1300-1307.TANG Wen-yu,LIN Hang.Influence of dentate discontinuity height on shear properties of soft structure plane[J].Journal of Central South University(Science and Technology),2017,48(5):1300-1307.(in Chinese)
[15]许万忠,林杭,曹日红.充填粗糙节理直剪数值模拟宏细观分析[J].西南交通大学学报,2018,53(3):548-557.XU Wan-zhong,LIN Hang,CAO Ri-hong.Simulation and macro-mesoscopic parameter analysis for direct shear of filled rough joints[J].Journal of Southwest Jiaotong University,2018,53(3):548-557.(in Chinese)
[16]王培涛,任奋华,谭文辉,等.单轴压缩试验下粗糙离散节理网络模型建立及力学特性[J].岩土力学,2017,38(S1):70-78.WANG Pei-tao,REN Fen-hua,TAN Wen-hui,et al.Model of roughness discrete fractures network for uniaxial compressive test and its mechanical properties[J].Rock and Soil Mechanics,2017,38(S1):70-78.(in Chinese)
[17]叶海旺,周建敏,余红兵,等.岩体结构面对爆破地震波传播规律影响分析[J].爆破,2016,33(1):12-18.YE Hai-wang,ZHOU Jian-min,YU Hong-bing,et al.Influence of rock structure planes on propagation of blasting seismic wave[J].Blasting,2016,33(1):12-18.(in Chinese)
[18]夏才初,孙宗颀.工程岩体节理力学[M].上海:同济大学出版社,2002.