考虑各向异性的层土-盾构隧道地震反应数值模拟
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摘要
在层状各向异性土体-盾构隧道地震反应分析中,引入了横观各向同性弹塑性模型理论,建立了适合于横观各向同性介质的双渐近-多向透射边界条件。针对地铁区间盾构隧道抗震设计的特点,基于横观各向同性弹塑性模型,研制了考虑层状土体各向异性和施工开挖效应,适合于盾构隧道动力计算的各向异性弹塑性动力有限元程序。在程序中对于不同的材料采用了不同的本构关系和不同的单元形式,并采用了关联流动法则和多种屈服准则,可同时进行各向异性土体与地下结构的二维平面应力、平面应变和轴对称问题的静力和动力数值分析。最后利用所研制的程序进行了上海地铁二号线石门一路站附近区间隧道在不同超越概率地震动输入下的隧道反应计算。结果表明,在层状土体-地铁区间隧道的抗震分析中考虑土体各向异性的影响是必要的,所提出的计算模型是可行的。
The anisotropic elastic-plastic model of layered soil is established to analyse the seismic responses of shield tunnel systems in layered soil. The doubly asymptotic multi-directional transmitting boundary for transversely isotropic medium is formed. Based on anisotropic elastic-plastic model of layered soil, the dynamic FEM program of layered, transversely isotropic soil-structure dynamic interaction is developed according to the characteristic of earthquake-resistant design for shield tunnel. To simulate shield tunnel with FEM, various stress-strain models and element models are adopted in the program. The seismic response analysis of the district tunnel of Metro Line No.2 in Shanghai is carried out using the developed FEM program. From analysis results it is shown that the dynamic FEM model of layered, transversely isotropic soil-structure is feasible and applicable. And the results show that it is necessary to take account of anisotropy of layered soil effect in the seismic analysis of shield tunnel system in layered soil.
The anisotropic elastic-plastic model of layered soil is established to analyse the seismic responses of shield tunnel systems in layered soil. The doubly asymptotic multi-directional transmitting boundary for transversely isotropic medium is formed. Based on anisotropic elastic-plastic model of layered soil, the dynamic FEM program of layered, transversely isotropic soil-structure dynamic interaction is developed according to the characteristic of earthquake-resistant design for shield tunnel. To simulate shield tunnel with FEM, various stress-strain models and element models are adopted in the program. The seismic response analysis of the district tunnel of Metro Line No.2 in Shanghai is carried out using the developed FEM program. From analysis results it is shown that the dynamic FEM model of layered, transversely isotropic soil-structure is feasible and applicable. And the results show that it is necessary to take account of anisotropy of layered soil effect in the seismic analysis of shield tunnel system in layered soil.
引文
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[3]OwenDJR,HintonE.Finiteelementinplasticity,TheoryandPractice[M].PineridgePressLtd:Swansea,U.K.1980.
[4] 丁文其.土体各向异性耦合模型及其在盾构隧道施工模拟中的应用[D].上海:同济大学,1997.
[5] 祝彦知.考虑各向异性的层状饱和地基粘弹性动力分析及地铁隧道抗震研究[D].上海:同济大学,2003.
[6] 冯紫良.地下洞室应力分析中的荷载计算与初始地应力场[J].岩土工程学报,1991,13(3):36～42.
[7] WolfJP,SongC.Asymptoticmultic directionaltransmittitingboundaryfordynamicunboundedmedium struture interactionanalysis[J].Earthq.Eng.＆Struc.Dynamics,1995,24(2):175～188.
[8] HigdonRS.Absorbingboundaryconditionapproximationstothemulti dimensionalwaveequation[J].Math.Comp.,1986,47:437～459.
[9] 刘惠珊,张在明,编著.地震区的场地与地基基础[M].北京:中国建筑工业出版社,1994.
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