考虑非规则荷载下土体残余应变的时域积分方法及其应用
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摘要
非规则荷载下土体残余应变发展模型是一个目前仍在探索的问题,现有的土层时域积分方法难以考虑土体的残余应变效应。阐述了一种在规则和非规则荷载下土体残余应变的表示方法,将其与双曲线型动态骨架曲线相结合,推导出一种能较好考虑非规则荷载下残余应变效应且方便程序实现的土体应力–应变关系。将此土体应力–应变关系应用于土层地震反应时域积分方法中,获得了一种考虑土体残余应变效应的时域积分方法,基于MATLAB平台编制了RS-DYMATLAB计算程序。利用实验数据对方法进行了验证,结果表明,本方法是一种合理可行的、能较好地考虑土体的残余应变效应的土层地震反应分析方法。
The soil residual strain increase model under irregular loads is still an issue to be explored.Existing time-domain integral method is difficult to consider the residual strain effects of soils.A description method of soil residual strain under regular or irregular loads is expounded and combined with the hyperbolic dynamic skeleton curve,a new soil stress-strain relations is deduced,which can consider residual strain well and facilitate programming.Futhermore,this new stress-strain relation is applied in the time-domain integral method of soil layer response analysis to obtain a new time-domain integral method which can consider residual strain effects and a corresponding calculation procedure RS-DYMATLAB program is compiled on the MATLAB platform.Some real experimental data are used to verify this method,and the results show that this method can consider the residual strain effects of soils well,and can be applied as a reasonable and feasible method for nonlinear site response analysis of soil layers.
The soil residual strain increase model under irregular loads is still an issue to be explored.Existing time-domain integral method is difficult to consider the residual strain effects of soils.A description method of soil residual strain under regular or irregular loads is expounded and combined with the hyperbolic dynamic skeleton curve,a new soil stress-strain relations is deduced,which can consider residual strain well and facilitate programming.Futhermore,this new stress-strain relation is applied in the time-domain integral method of soil layer response analysis to obtain a new time-domain integral method which can consider residual strain effects and a corresponding calculation procedure RS-DYMATLAB program is compiled on the MATLAB platform.Some real experimental data are used to verify this method,and the results show that this method can consider the residual strain effects of soils well,and can be applied as a reasonable and feasible method for nonlinear site response analysis of soil layers.
引文
[1]李小军.非线性场地地震反应分析方法的研究[D].哈尔滨:中国地震局工程力学研究所,1993:35–37.(LI Xiao-jun.Study on the method for analysing the earthquake response of nonlinear site[D].Haerbin:Institute of Engineering Mechanics,China Earthquake Administration,1993:35–37.(in Chinese))
[2]张勇,孔令伟,李雄威.循环荷载下饱和软黏土的动骨干曲线模型研究[J].岩土力学,2010,31(6):1699–1708.(ZHANG Yong,KONG Ling-wei,LI Xiong-wei.Dynamic backbone curve model of saturated soft clay under cyclic loading[J].Rock and Soil Mechanics,2010,31(6):1699–1708.(in Chinese))
[3]蔡袁强,柳伟,徐长节,等.基于修正Iwan模型的软黏土动应力–应变关系研究[J].岩土工程学报,2007,29(9):1314–1319.(CAI Yuan-qiang,LIU Wei,XU Chang-jie,et al.Study on dynamic stress-strain relationship of soft clay basedon modified Iwan's model under undrained cyclic loading[J].Chinese Journal of Geotechnical Engineering,2007,29(9):1314–1319.(in Chinese))
[4]袁中夏.黄土动残余变形的特性与机理研究[D].哈尔滨:中国地震局工程力学研究所,2000:21–65.(YUAN Zhong-xia.Characteristics and mechanism of dynamic residual deformation of loess[D].Haerbin:Institute of Engineering Mechanics,China Earthquake Administration,2000:21–65.(in Chinese))
[5]陈学良,金星,陶夏新.软土动态残余应力势模型及其工程应用[C]//第七届全国地震工程会议论文集.广州,2006:370–379.(CHEN Xue-liang,JIN Xing,TAO Xia-xin.Dynamic residual potential model of soft soil and its engineering application[C]//The7th Conference on Earthquake Engineering in China.Guangzhou,2006:370–379.(in Chinese))
[6]孙军杰,徐舜华,王兰民,等.非饱和黄土动残余应变关键影响参量与量值估算[J].岩石力学与工程学报,2012,31(2):382–391.(SUN Jun-jie,XU Shun-hua,WANG Lan-min,et al.Critical influence parameters and magnitude estimation of dynamic residual strain of unsaturated loess[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):382–391.(in Chinese))
[7]邓龙胜,范文.随机地震荷载作用下黄土震陷的影响因素研究[J].岩石力学与工程学报,2011,30(9):1924–1931.(DENG Long-sheng,FAN Wen.Study of influencing factors of loess seismic subsidence induced by stochastic seismic load[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(9):1924–1931.(in Chinese))
[8]孟上九,曹文海,袁晓鸣.地震荷载下土体残余应变及孔压研究综述[J].世界地震工程,2001,17(3):49–53.(MENG Shang-jiu,CAO Wen-hai,YUAN Xiao-ming.A summary of research on residual strain and pore pressure of soils under earthquake loads[J].World Information on Earthquake Engineering,2001,17(3):49–53.(in Chinese))
[9]李小军.非线性土层地震反应分析的一种方法[J].华南地震,1992,12(4):1–8.(LI Xiao-jun.A method for analysing seismic response of nonlinear soil layers[J].South China Journal of Seismology,1992,12(4):1–8.(in Chinese))
[10]卢滔,周正华,霍敬妍.土层非线性地震反应一维时域分析[J].岩土力学,2008,29(8):2170–2176.(LU Tao,ZHOU Zheng-hua,HUO Jing-yan.1D nonlinear seismic response analysis of soil layers in time domain[J].Rock andSoil Mechanics,2008,29(8):2170–2176.(in Chinese))
[11]李亮,翟威,杜修力.横观各向同性饱和两相介质波动问题的时域显式有限元方法[J].岩土工程学报,2012,34(3):464–470.(LI Liang,ZHAI Wei,DU Xiu-li.Time-domain explicit finite element method for wave propagation of transversely isotropic fluid-saturated porous media[J].Chinese Journal of Geotechnical Engineering,2012,34(3):464–470.(in Chinese))
[12]荣棉水,卢滔,李小军,等.一种基于动态骨架曲线的土层时域积分方法及其验证[J].应用基础与工程科学学报,2013,21(1):78–89.(RONG Mian-shui,LU Tao,LI Xiao-jun,et al.A direct time-domain integral method based on dynamic skeleton curve constitutive model and its verification[J].Journal of Basic Science and Engineering,2013,21(1):78–89.(in Chinese))
[13]张勇.武汉软黏土的变形特征与循环荷载动力响应研究[D].武汉:中国科学院武汉岩土力学研究所,2008:162–177.(ZHANG Yong.The deformation characteristics of Wuhan soft clay and its dynamic responses subjected to cyclic loading[D].Wuhan:Institute of Rock&Soil Mechanics,Chinese Academy of Science,2008:162–177.(in Chinese))
[14]李小军.土的动力本构关系的一种简单函数表达式[J].岩土工程学报,1992,14(5):90–94.(LI Xiao-jun.A simple function expression of the dynamic constitutive relation of soil[J].Chinese Journal of Geotechnical Engineering,1992,14(5):90–94.(in Chinese))
[15]尚守平,刘方成,王海东.基于阻尼的地震循环荷载作用下黏土非线性模型[J].土木工程学报,2007,40(3):74–82.(SHANG Shou-ping,LIU Fang-cheng,WANG Hai-dong.Nonlinear model based on damping ratio for clays under seismic loading[J].China Civil Engineering Journal.2007,40(3):74–82.(in Chinese))
[16]RAO N S,PANDA A P.Non-Linear analysis of undrained cyclic strength of soft marine clay[J].Ocean Engineering,1999,26:241–253.
[17]王志良,韩清宇.黏弹塑性土层地震反应的波动分析方法[J].地震工程与工程振动,1981,1(1):117–137.(WANG Zhi-liang,HAN Qing-yu.Analysis of wave propagation for the site seismic response,using the visco-elastoplastic Model[J].Earthquake Engineering and Engineering Vibration,1981,1(1):117–137.(in Chinese))
[2]张勇,孔令伟,李雄威.循环荷载下饱和软黏土的动骨干曲线模型研究[J].岩土力学,2010,31(6):1699–1708.(ZHANG Yong,KONG Ling-wei,LI Xiong-wei.Dynamic backbone curve model of saturated soft clay under cyclic loading[J].Rock and Soil Mechanics,2010,31(6):1699–1708.(in Chinese))
[3]蔡袁强,柳伟,徐长节,等.基于修正Iwan模型的软黏土动应力–应变关系研究[J].岩土工程学报,2007,29(9):1314–1319.(CAI Yuan-qiang,LIU Wei,XU Chang-jie,et al.Study on dynamic stress-strain relationship of soft clay basedon modified Iwan's model under undrained cyclic loading[J].Chinese Journal of Geotechnical Engineering,2007,29(9):1314–1319.(in Chinese))
[4]袁中夏.黄土动残余变形的特性与机理研究[D].哈尔滨:中国地震局工程力学研究所,2000:21–65.(YUAN Zhong-xia.Characteristics and mechanism of dynamic residual deformation of loess[D].Haerbin:Institute of Engineering Mechanics,China Earthquake Administration,2000:21–65.(in Chinese))
[5]陈学良,金星,陶夏新.软土动态残余应力势模型及其工程应用[C]//第七届全国地震工程会议论文集.广州,2006:370–379.(CHEN Xue-liang,JIN Xing,TAO Xia-xin.Dynamic residual potential model of soft soil and its engineering application[C]//The7th Conference on Earthquake Engineering in China.Guangzhou,2006:370–379.(in Chinese))
[6]孙军杰,徐舜华,王兰民,等.非饱和黄土动残余应变关键影响参量与量值估算[J].岩石力学与工程学报,2012,31(2):382–391.(SUN Jun-jie,XU Shun-hua,WANG Lan-min,et al.Critical influence parameters and magnitude estimation of dynamic residual strain of unsaturated loess[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):382–391.(in Chinese))
[7]邓龙胜,范文.随机地震荷载作用下黄土震陷的影响因素研究[J].岩石力学与工程学报,2011,30(9):1924–1931.(DENG Long-sheng,FAN Wen.Study of influencing factors of loess seismic subsidence induced by stochastic seismic load[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(9):1924–1931.(in Chinese))
[8]孟上九,曹文海,袁晓鸣.地震荷载下土体残余应变及孔压研究综述[J].世界地震工程,2001,17(3):49–53.(MENG Shang-jiu,CAO Wen-hai,YUAN Xiao-ming.A summary of research on residual strain and pore pressure of soils under earthquake loads[J].World Information on Earthquake Engineering,2001,17(3):49–53.(in Chinese))
[9]李小军.非线性土层地震反应分析的一种方法[J].华南地震,1992,12(4):1–8.(LI Xiao-jun.A method for analysing seismic response of nonlinear soil layers[J].South China Journal of Seismology,1992,12(4):1–8.(in Chinese))
[10]卢滔,周正华,霍敬妍.土层非线性地震反应一维时域分析[J].岩土力学,2008,29(8):2170–2176.(LU Tao,ZHOU Zheng-hua,HUO Jing-yan.1D nonlinear seismic response analysis of soil layers in time domain[J].Rock andSoil Mechanics,2008,29(8):2170–2176.(in Chinese))
[11]李亮,翟威,杜修力.横观各向同性饱和两相介质波动问题的时域显式有限元方法[J].岩土工程学报,2012,34(3):464–470.(LI Liang,ZHAI Wei,DU Xiu-li.Time-domain explicit finite element method for wave propagation of transversely isotropic fluid-saturated porous media[J].Chinese Journal of Geotechnical Engineering,2012,34(3):464–470.(in Chinese))
[12]荣棉水,卢滔,李小军,等.一种基于动态骨架曲线的土层时域积分方法及其验证[J].应用基础与工程科学学报,2013,21(1):78–89.(RONG Mian-shui,LU Tao,LI Xiao-jun,et al.A direct time-domain integral method based on dynamic skeleton curve constitutive model and its verification[J].Journal of Basic Science and Engineering,2013,21(1):78–89.(in Chinese))
[13]张勇.武汉软黏土的变形特征与循环荷载动力响应研究[D].武汉:中国科学院武汉岩土力学研究所,2008:162–177.(ZHANG Yong.The deformation characteristics of Wuhan soft clay and its dynamic responses subjected to cyclic loading[D].Wuhan:Institute of Rock&Soil Mechanics,Chinese Academy of Science,2008:162–177.(in Chinese))
[14]李小军.土的动力本构关系的一种简单函数表达式[J].岩土工程学报,1992,14(5):90–94.(LI Xiao-jun.A simple function expression of the dynamic constitutive relation of soil[J].Chinese Journal of Geotechnical Engineering,1992,14(5):90–94.(in Chinese))
[15]尚守平,刘方成,王海东.基于阻尼的地震循环荷载作用下黏土非线性模型[J].土木工程学报,2007,40(3):74–82.(SHANG Shou-ping,LIU Fang-cheng,WANG Hai-dong.Nonlinear model based on damping ratio for clays under seismic loading[J].China Civil Engineering Journal.2007,40(3):74–82.(in Chinese))
[16]RAO N S,PANDA A P.Non-Linear analysis of undrained cyclic strength of soft marine clay[J].Ocean Engineering,1999,26:241–253.
[17]王志良,韩清宇.黏弹塑性土层地震反应的波动分析方法[J].地震工程与工程振动,1981,1(1):117–137.(WANG Zhi-liang,HAN Qing-yu.Analysis of wave propagation for the site seismic response,using the visco-elastoplastic Model[J].Earthquake Engineering and Engineering Vibration,1981,1(1):117–137.(in Chinese))
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