二维完全耦合有限元地震分析程序SUMDES2D
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摘要
SUMDES2D是二维完全耦合有限元地震分析程序,可用于分析土工结构在多向振动作用下的地震响应.该程序是基于动量守恒和质量守恒两个物理定律,以及分别描述土骨架、孔隙水和渗流等3个本构关系的有效应力分析程序.程序中嵌入了基于与状态相关的剪胀性的临界状态砂土模型.该程序不仅能给出土结构的总体响应,如位移、孔隙压力和加速度等,且能给出土单元局部的应力路径和应力应变关系.介绍了SUMDES2D的理论推导,举例说明该程序在土坡流动液化变形分析中的应用.
SUMDES2D is a two dimensional fully coupled finite element earthquake analysis program which can be used in the analysis of earth structure under multi-directional earthquake shaking. The procedure is formulated under the framework of Biot based on the physical laws of the balance of momentum and conservation of mass in conjunction with three separately defined constitutive laws for soil skeleton, pore fluid and seepage flow respectively. A newly developed critical state sand model, which is formulated based on the concept of state-dependent dilatancy is incorporated in the procedure. The procedure can give not only global response of earth structure, such as displacement, pore pressure, and acceleration response, but also local stress path and stress-strain relationship of soil element. This paper presents the theoretical basis of the numerical procedure as well as example of flow-liquefaction deformation analysis.
SUMDES2D is a two dimensional fully coupled finite element earthquake analysis program which can be used in the analysis of earth structure under multi-directional earthquake shaking. The procedure is formulated under the framework of Biot based on the physical laws of the balance of momentum and conservation of mass in conjunction with three separately defined constitutive laws for soil skeleton, pore fluid and seepage flow respectively. A newly developed critical state sand model, which is formulated based on the concept of state-dependent dilatancy is incorporated in the procedure. The procedure can give not only global response of earth structure, such as displacement, pore pressure, and acceleration response, but also local stress path and stress-strain relationship of soil element. This paper presents the theoretical basis of the numerical procedure as well as example of flow-liquefaction deformation analysis.
引文
[1]BiotMA.Generaltheoryofthreedimensionalconsolidation[J].JournalofAppliedPhysics,1941,12:155 164.
[2]BiotMA.Theoryofelasticityandconsolidationforaporousanisotropicsolid[J].JournalofAppliedPhysics,1955,26(2):182 185.
[3]ZienkiewiczOC,ShiomiT.Dynamicbehaviorofsaturatedporousmedia:thegeneralizedBiotformulationanditsnumericalsolution[J].InternationalJournalforNumericalandAnalyticalMethodsinGeomechanics,1984,8:71 96.
[4]TsaiNC.Influenceoflocalgeologyonearthquakegroundmotion[D].PhDDissertation,LosAngeles:CaliforniaInstituteofTechnology,1969.
[5]MingHY.Fullycoupledearthquakeanalysisofearthdamsusingacriticalstatesandmodel[D].Ph.D.theses,HongKong:HongKongUniversityofScienceandTechnology,2001.
[6]MingHY,LiXS.SUMDES2D,atwodimensionalfully coupledgeotechnicalearthquakeanalysisprogram[R].HongKong:HongKongUniversityofScienceandTechnology,2001.
[7]HilbertHM,HughesTJR,TaylorRL.Improvednumericaldissipationfortimeintegrationalgorithmsinstructuralmechanics[J].EarthquakeEngineeringandStructuralDynamics,1977,5(3):283 292.
[8]MingHY,LiXS.FullycoupledanalysisoffailureandremediationoflowerSanFernandodam[J].JournalofGeotechnicalEngineering,2002,129(3):294 300(inChinese).
[9]MatsuoO,SaitoY,SasakiT,etal.Dynamiccentrifugetestsonflowfailureoffillsandinfiniteslopes[C].TechnicalMemorandumofPWRI,PublicWorksResearchInstituteofJapan,EarthquakeDisasterPreventionResearchCenter,1999,83:59 86.
[10]LiXS.Asandmodelwithstate dependent[J].G啨otechnique,2002,52(3):173 186.
[1]BiotMA .三维固结理论[J].应用物理学报,1941,12:155164(英文版).
[2]BiotMA .各向异性孔隙固体材料的弹性与固结理论[J].应用物理学报,1955,26(2):182185(英文版).
[3]ZienkiewiczOC ,ShiomiT .饱和孔隙介质的动力行为:Biot理论的一般形式与数值解答[J].国际岩土力学数值和解析解答学报,1984,8:7196(英文版).
[4]TsaiNC .局部地质条件对地震中地面运动的影响[D].PhD论文,加州理工学院,1969(英文版).
[5]MingHY .采用临界状态砂土模型的土坝的完全耦合地震分析[D].PhD论文,香港科技大学,2001(英文版).
[6]MingHY ,LiXS .SUMDES2D :二维完全耦合岩土地震分析程序[R],香港科技大学,2001(英文版).
[7]HilbertHM ,HughesTJR ,TaylorRL .用于结构力学的改进时间积分算法[J].地震工程和结构动力学,1977,5(3):283292(英文版).
[8]明海燕,李相崧.LowerSanFernando土坝破坏及加固的完全耦合分析[J].岩土工程学报,2002,129(3):294300.
[9]MatsuoO ,SaitoY ,SasakiT ,SatoT .无限斜坡和填土流动破坏的离心机试验研究[C].动土质研究室资料(No.83),建设省土木研究所,耐震技术研究中心,动土质研究室,1999:5986(英文版).
[10]LiXS .与状态相关的剪胀性砂土模型[J].岩土技术,2002,52(3):173186(英文版).
[2]BiotMA.Theoryofelasticityandconsolidationforaporousanisotropicsolid[J].JournalofAppliedPhysics,1955,26(2):182 185.
[3]ZienkiewiczOC,ShiomiT.Dynamicbehaviorofsaturatedporousmedia:thegeneralizedBiotformulationanditsnumericalsolution[J].InternationalJournalforNumericalandAnalyticalMethodsinGeomechanics,1984,8:71 96.
[4]TsaiNC.Influenceoflocalgeologyonearthquakegroundmotion[D].PhDDissertation,LosAngeles:CaliforniaInstituteofTechnology,1969.
[5]MingHY.Fullycoupledearthquakeanalysisofearthdamsusingacriticalstatesandmodel[D].Ph.D.theses,HongKong:HongKongUniversityofScienceandTechnology,2001.
[6]MingHY,LiXS.SUMDES2D,atwodimensionalfully coupledgeotechnicalearthquakeanalysisprogram[R].HongKong:HongKongUniversityofScienceandTechnology,2001.
[7]HilbertHM,HughesTJR,TaylorRL.Improvednumericaldissipationfortimeintegrationalgorithmsinstructuralmechanics[J].EarthquakeEngineeringandStructuralDynamics,1977,5(3):283 292.
[8]MingHY,LiXS.FullycoupledanalysisoffailureandremediationoflowerSanFernandodam[J].JournalofGeotechnicalEngineering,2002,129(3):294 300(inChinese).
[9]MatsuoO,SaitoY,SasakiT,etal.Dynamiccentrifugetestsonflowfailureoffillsandinfiniteslopes[C].TechnicalMemorandumofPWRI,PublicWorksResearchInstituteofJapan,EarthquakeDisasterPreventionResearchCenter,1999,83:59 86.
[10]LiXS.Asandmodelwithstate dependent[J].G啨otechnique,2002,52(3):173 186.
[1]BiotMA .三维固结理论[J].应用物理学报,1941,12:155164(英文版).
[2]BiotMA .各向异性孔隙固体材料的弹性与固结理论[J].应用物理学报,1955,26(2):182185(英文版).
[3]ZienkiewiczOC ,ShiomiT .饱和孔隙介质的动力行为:Biot理论的一般形式与数值解答[J].国际岩土力学数值和解析解答学报,1984,8:7196(英文版).
[4]TsaiNC .局部地质条件对地震中地面运动的影响[D].PhD论文,加州理工学院,1969(英文版).
[5]MingHY .采用临界状态砂土模型的土坝的完全耦合地震分析[D].PhD论文,香港科技大学,2001(英文版).
[6]MingHY ,LiXS .SUMDES2D :二维完全耦合岩土地震分析程序[R],香港科技大学,2001(英文版).
[7]HilbertHM ,HughesTJR ,TaylorRL .用于结构力学的改进时间积分算法[J].地震工程和结构动力学,1977,5(3):283292(英文版).
[8]明海燕,李相崧.LowerSanFernando土坝破坏及加固的完全耦合分析[J].岩土工程学报,2002,129(3):294300.
[9]MatsuoO ,SaitoY ,SasakiT ,SatoT .无限斜坡和填土流动破坏的离心机试验研究[C].动土质研究室资料(No.83),建设省土木研究所,耐震技术研究中心,动土质研究室,1999:5986(英文版).
[10]LiXS .与状态相关的剪胀性砂土模型[J].岩土技术,2002,52(3):173186(英文版).
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