基于变参数的含水岩石弱化流变模型研究
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摘要
基于不同含水率的岩石蠕变试验,分别考虑岩石时效劣化效应和含水弱化效应,分析不同应力状态下和不同含水率状态下的蠕变曲线。根据试验蠕变曲线得到岩石弹性模量随时间和含水率的变化关系,拟合得到岩石的时间衰减指数和含水衰减指数。在假设岩石时效损伤和含水损伤为各向同性损伤的基础上建立了岩石时效蠕变损伤模型,并对不同含水率下的岩石蠕变损伤开展了数值模拟研究。数值模拟结果同岩石蠕变试验曲线很好地相吻合,模拟结果表明了该蠕变损伤模型的合理性。本文所开展的岩石时效劣化和含水弱化蠕变损伤模型的研究工作,将为岩石流变特性的研究提供一定的理论依据。
Considering the effect of time-dependent degradation and water weakening on rock,the stress-strain curves of rocks under different stress states and different water contents were analyzed according to the creep tests of rocks with different moisture contents.The data of elastic modulus of rock with time and water content were extracted from the creep curve.The indexes of time-dependent degradation and water weakening on rock were numerically obtained.Based on the assumption that the time-dependent damage and water-weakening induced damage was isotropic,the time-dependent creep damage model of rocks was established and the creep damage of rock with different water contents was numerically simulated.Numerical curves were in good agreement with the experimental curves.The numerical simulations showed that the time-dependent creep damage model of rocks was reasonable.It is of great help to provide a theoretical basis for the study of rheological properties of rocks.
Considering the effect of time-dependent degradation and water weakening on rock,the stress-strain curves of rocks under different stress states and different water contents were analyzed according to the creep tests of rocks with different moisture contents.The data of elastic modulus of rock with time and water content were extracted from the creep curve.The indexes of time-dependent degradation and water weakening on rock were numerically obtained.Based on the assumption that the time-dependent damage and water-weakening induced damage was isotropic,the time-dependent creep damage model of rocks was established and the creep damage of rock with different water contents was numerically simulated.Numerical curves were in good agreement with the experimental curves.The numerical simulations showed that the time-dependent creep damage model of rocks was reasonable.It is of great help to provide a theoretical basis for the study of rheological properties of rocks.
引文
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[16]朱合华,叶斌.饱水状态下隧道围岩蠕变力学性质的试验研究[J].岩石力学与工程学报,2002,21(12):1791-1796.ZHU Hehua,YE Bin.Experimental study on mechanical properties of rock creep in saturation[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(12):1791-1796.(in Chinese)
[2]张强勇,杨文东,张建国,等.变参数蠕变损伤本构模型及其工程应用[J].岩石力学与工程学报,2009,28(4):732-739.ZHANG Qiangyong,YANG Wendong,ZHANG Jianguo,et al.Variable parameters-based creep damage constitutive model and its engineering application[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(4):732-739.(in Chinese)
[3]杨文东,张强勇,张建国,等.基于FLAC3D的改进Burgers蠕变损伤模型的二次开发研究[J].岩土力学,2010,31(6):1956-1964.YANG Wendong,ZHANG Qiangyong,ZHANG Jianguo,et al.Second development of improved Burgers creep damage constitutive model of rock based on FLAC3D[J].Rock and Soil Mechanics,2010,31(6):1956-1964.(in Chinese)
[4]于超云,唐春安,唐世斌.含水弱化的软岩变参数蠕变损伤模型研究[J].中国科技论文,2015,10(3):300-304.YU Chaoyun,TANG Chun’an,TANG Shibin.Creep damage model with variable parameters and weakness effect by water or soft rock[J].China Sciencepaper,2015,10(3):300-304.(in Chinese)
[5]张永兴,王更峰,周小平,等.含水炭质板岩非线性蠕变损伤模型及应用[J].土木建筑与环境工程,2012,34(3):1-9.ZHANG Yongxing,WANG Gengfeng,ZHOU Xiaoping,et al.Nonlinear creep damage model of water bearing carbonaceous slate and its application[J].Journal of Civil,Architectural &Environmental Engineering,2012,34(3):1-9.(in Chinese)
[6]王俊光,梁冰,田蜜.含水状态下油页岩非线性损伤蠕变特性研究[J].实验力学,2014,29(1):112-118.WANG Junguang,LIANG Bing,TIAN Mi.Study on creep characteristics of oil shale nonlinearity under water condition[J].Journal of Experimental Mechanics,2014,29(1):112-118.(in Chinese)
[7]黄明,刘新荣,邓涛.考虑含水劣化的泥质粉砂岩单轴蠕变特性研究[J].福州大学学报(自然科学版),2012,40(3):399-405.HUANG Ming,LIU Xinrong,DENG Tao.Study on the creep properties of T2b2 silitite in terms in the damage law induced by water[J].Journal of Fuzhou University(Natural Science Edition),2012,40(3):399-405.(in Chinese)
[8]康文献,于怀昌,王玲玲,等.三轴应力下水对粉砂质泥岩蠕变力学特性影响作用试验研究[J].工程地质学报,2016,24(4):622-628.KANG Wenxian,YU Huailing,WANG Lingling,et al.Experimental study of influece of water on creep properties of silty mudstone under triaxial compression[J].Journal of Engineering Geology,2016,24(4):622-628.(in Chinese)
[9]李海洲.基于含水软岩蠕变特性的岩体时变强度及边坡动态稳定性研究[D].沈阳:东北大学,2013.LI Haizhou.Study on rock time-varying strength and slop dynamic stability based on creep properties of water-bearing soft rock[D].Shenyang:Northeastern University,2013.(in Chinese)
[10]杨彩红,王永岩,李剑光,等.含水率对岩石蠕变规律影响的试验研究[J].煤炭学报,2007,32(7):695-699.YANG Caihong,WANG Yongyan,LI Jianguang,et al.Testing study about the effect of different watercontent on rock creep law[J].Journal of China Coal Society,2007,32(7):695-699.(in Chinese)
[11]WANG Q Y,ZHU W C,XU T,et al.Numerical simulation of rock creep behavior with a damage-based constitutive law[J].International Journal of Geomechanics,2017,17(1):04016044.
[12]YANG Xiaobin,LI Yang,GUAN Haihe,et al.Nonlinear damage creep model of coal or rock containing gas[J].Applied Mechanics and Materials,2012,1975(204):289-296.
[13]XU Tao,TANG Chunan,ZHAO Jian,et al.Modelling the time-dependent rheological behaviour of heterogeneous brittle rocks[J].Geophysical Journal International,2012,189(3):1781-1796.
[14]MA Jiwei,WANG Zhiyin,WU Jinpeng.Probability distribution analysis of rock salt creep parameters based on comprehensive optimal acceptance criteria[J].Key Engineering Materials,2014,577-578:561-564.
[15]黄明.含水泥质粉砂岩蠕变特性及其在软岩隧道稳定性分析中的应用研究[D].重庆:重庆大学,2010.HUANG Ming.Study on the creep properties of waterbearing siltite and its application in soft rock tunnel engineering[D].Chongqing:Chongqing University,2010.(in Chinese)
[16]朱合华,叶斌.饱水状态下隧道围岩蠕变力学性质的试验研究[J].岩石力学与工程学报,2002,21(12):1791-1796.ZHU Hehua,YE Bin.Experimental study on mechanical properties of rock creep in saturation[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(12):1791-1796.(in Chinese)