基于物态本构模型的土体动力反应分析方法
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摘要
通过对现有土体动力反应分析方法的分析,提出了新的有效应力物态地震反应分析方法。首先,建立了能够全面反应饱和土体的应力应变非线性、硬化性、剪切胀缩性和压密回胀性、应力路径相关性以及球应力和偏应力与变形的耦合性等主要特征的有效应力物态动本构关系。其次,以动力固结理论和瞬态动力学理论为基础,将该本构关系引入到以动力反应与动力固结相耦合、静应力和动应力变化相耦合,孔压产生、扩散和消散相耦合、能够较全面反映动力作用下土体应力应变反应的真实过程为特点的三维瞬态动力方程组,形成了饱和砂土体有效应力物态地震反应分析的完整理论体系。最后,开发了新的动力固结三维有限元分析程序,通过对一个饱和路基的计算和分析,不仅得到了合理的土体动力性状,而且验证了该分析方法与程序的正确性。
A new approach based on the effective stress and physical states for analyzing the seismic response of soil was emphasized as the center of this paper on the wide basis of discussing current analytic methods.The first one was the effective stress-physical state dynamic constitutive relationships established on the revealed dynamic stress-strain characteristics.It could be used to consider the soil properties of non-linearity,hardening,shear dilatation-contraction,compression-swelling,as well as the soil properties of stress path dependence and coupling of spherical stress to deviator stress.The second achievement of this research was the fundamentals of a 3-D dynamic consolidation with governing equations established on the basis of the transient dynamic theory,characterized by combining the effective stress and physical states dynamic constitutive relationships and coupling the dynamic response and dynamic consolidation,static stress and dynamic stress,generation,diffusion and dissipation of pore water pressure so as to simulate the actual process of stress-strain response of soil mass and form a complete theoretical framework system of the seismic response analysis approach based on the effective stress and physical states of soil mass.Finally,a new 3-D dynamic consolidation FEM calculation program was developed,and inspected through seismic analysis of a saturated road foundation,not only the reasonable soil properties were obtained,but also the validity of the proposed method and program were proved.
A new approach based on the effective stress and physical states for analyzing the seismic response of soil was emphasized as the center of this paper on the wide basis of discussing current analytic methods.The first one was the effective stress-physical state dynamic constitutive relationships established on the revealed dynamic stress-strain characteristics.It could be used to consider the soil properties of non-linearity,hardening,shear dilatation-contraction,compression-swelling,as well as the soil properties of stress path dependence and coupling of spherical stress to deviator stress.The second achievement of this research was the fundamentals of a 3-D dynamic consolidation with governing equations established on the basis of the transient dynamic theory,characterized by combining the effective stress and physical states dynamic constitutive relationships and coupling the dynamic response and dynamic consolidation,static stress and dynamic stress,generation,diffusion and dissipation of pore water pressure so as to simulate the actual process of stress-strain response of soil mass and form a complete theoretical framework system of the seismic response analysis approach based on the effective stress and physical states of soil mass.Finally,a new 3-D dynamic consolidation FEM calculation program was developed,and inspected through seismic analysis of a saturated road foundation,not only the reasonable soil properties were obtained,but also the validity of the proposed method and program were proved.
引文
[1]谢定义.土动力学[M].西安:西安交通大学出版社,2004.(XI Ding-yi.Soil dynamics[M].Xi’an:Xi’an Jiaotong University Press,2004.(in Chinese))
[2]ZIENKIEWICZ O C,CHAN A H C,PASTOR M,SCHREFLER B A,SHIOMI T.Computational geomechanics with special reference to earthquake engineering[M].ENGLAND:John Wiley&Sons Ltd,1999.
[3]SEED H B,LEE K L,IDRISS I M.Dynamic analysis of slide in the Lower San Fernando dam during the earthquake of Feb.9,1971[J].JGED,1975,101(9):889–912.
[4]MEJIA L H,SEED H B.Three-dimensional dynamic response analysis of earth dams[R].Report EERC-81-15,1987:34–46.
[5]DANG F N,XIE D Y,LI N.A new method of dynamic consolidation analysis for saturated[M].ICAPV2000,2000:715–168.
[6]盛虞,卢盛松,姜朴.土工建筑物动力固结的耦合振动分析[J].水利学报,1989,12:31–42.(SHENG Yu,LU Sheng-song,JIANG Pu.A coupling analysis method of earth structures considering dynamic consolidation[J].Journal of Hydraulic Engineering,1989,12:31–42.(in Chinese))
[7]关飞,韩国城.有效应力动力分析方法的探讨[J].地震工程与工程振动,1988(12):54–65.(GUAN Fei,HAN Guo-cheng.On the effective stress method of dynamic analysis[J].Earthquake Engineering and Engineering Vibration,1988(12):54–65.(in Chinese))
[8]徐志英,周健.土坝地震孔隙水压力产生、扩散和消散的三维动力分析[J].地震工程与工程振动,1985(4):57–72.(XU Zhi-ying,ZHOU Jian.Generation,diffusion and dissipation of seismic pore water pressure in earth dam by 3-d dynamic analysis[J].Earthquake Engineering and Engineering Vibration,1985(4):57–72.(in Chinese))
[9]陈飞雄,李宁,谢定义.黑河土石坝的地震响应和液化分析[J].水利学报,2000,2:22–26.(CHEN Fei-xiong,LI Ning,XIE Ding-yi.Dynamic response of earthquake and liquefaction analysis of the Heihe Dam[J].Journal of Hydraulic Engineering,2000,2:22–26.(in Chinese))
[10]陈存礼,饱和砂土体有效应力物态地震反应分析方法的研究[D].西安:西安理工大学,2005.(CHEN Cun-li.Research on seismic response analysis approach on effective stress and physical state in saturated sand mass[D].Xi’an:Xi’an University of Technology,2005.(in Chinese))
[11]李宏儒.土体动力反应分析方法的分析与改进[D].西安:西安理工大学,2005.(LI Hong-ru.Analysis and improvement of the methods for the soil dynamic response analysis[D].Xi’an:Xi’an University of Technology,2005.(in Chinese))
[2]ZIENKIEWICZ O C,CHAN A H C,PASTOR M,SCHREFLER B A,SHIOMI T.Computational geomechanics with special reference to earthquake engineering[M].ENGLAND:John Wiley&Sons Ltd,1999.
[3]SEED H B,LEE K L,IDRISS I M.Dynamic analysis of slide in the Lower San Fernando dam during the earthquake of Feb.9,1971[J].JGED,1975,101(9):889–912.
[4]MEJIA L H,SEED H B.Three-dimensional dynamic response analysis of earth dams[R].Report EERC-81-15,1987:34–46.
[5]DANG F N,XIE D Y,LI N.A new method of dynamic consolidation analysis for saturated[M].ICAPV2000,2000:715–168.
[6]盛虞,卢盛松,姜朴.土工建筑物动力固结的耦合振动分析[J].水利学报,1989,12:31–42.(SHENG Yu,LU Sheng-song,JIANG Pu.A coupling analysis method of earth structures considering dynamic consolidation[J].Journal of Hydraulic Engineering,1989,12:31–42.(in Chinese))
[7]关飞,韩国城.有效应力动力分析方法的探讨[J].地震工程与工程振动,1988(12):54–65.(GUAN Fei,HAN Guo-cheng.On the effective stress method of dynamic analysis[J].Earthquake Engineering and Engineering Vibration,1988(12):54–65.(in Chinese))
[8]徐志英,周健.土坝地震孔隙水压力产生、扩散和消散的三维动力分析[J].地震工程与工程振动,1985(4):57–72.(XU Zhi-ying,ZHOU Jian.Generation,diffusion and dissipation of seismic pore water pressure in earth dam by 3-d dynamic analysis[J].Earthquake Engineering and Engineering Vibration,1985(4):57–72.(in Chinese))
[9]陈飞雄,李宁,谢定义.黑河土石坝的地震响应和液化分析[J].水利学报,2000,2:22–26.(CHEN Fei-xiong,LI Ning,XIE Ding-yi.Dynamic response of earthquake and liquefaction analysis of the Heihe Dam[J].Journal of Hydraulic Engineering,2000,2:22–26.(in Chinese))
[10]陈存礼,饱和砂土体有效应力物态地震反应分析方法的研究[D].西安:西安理工大学,2005.(CHEN Cun-li.Research on seismic response analysis approach on effective stress and physical state in saturated sand mass[D].Xi’an:Xi’an University of Technology,2005.(in Chinese))
[11]李宏儒.土体动力反应分析方法的分析与改进[D].西安:西安理工大学,2005.(LI Hong-ru.Analysis and improvement of the methods for the soil dynamic response analysis[D].Xi’an:Xi’an University of Technology,2005.(in Chinese))
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