砂土液化变形的有限元-无网格耦合方法
|
摘要
通过构造Biot固结理论u-p方程的无网格伽辽金-有限元耦合方法,对砂土液化变形问题进行了数值模拟。对于饱和砂土,采用Oka等提出的弹塑性本构模型,同时采用更新的Lagrange计算格式推导了控制方程。耦合方法能够发挥有限元和无网格各自的优点,既避免了由于单元变形扭曲而引起的计算中断,也可节约计算时间,算例验证了该方法在地震液化问题中的有效性。
Through the constructing of the finite element-element free Galerkin coupling method of Biot’s two phase mixture theory in u-p formulation,the numerical simulation for liquefaction problem is carried out.The cyclic elastoplastic constitutive model and updated Lagrange formulation are jointly adopted to establish the governing equations.The coupling method can avoid computation break caused by element distortion when using finite element method and save computation time.A numerical example shows that the method for liquefaction analysis is feasible and effective.
Through the constructing of the finite element-element free Galerkin coupling method of Biot’s two phase mixture theory in u-p formulation,the numerical simulation for liquefaction problem is carried out.The cyclic elastoplastic constitutive model and updated Lagrange formulation are jointly adopted to establish the governing equations.The coupling method can avoid computation break caused by element distortion when using finite element method and save computation time.A numerical example shows that the method for liquefaction analysis is feasible and effective.
引文
[1]王刚,张建民.砂土液化变形的数值模拟[J].岩土力学,2007,29(3):403-409.WANG Gang,ZHANG Jian-min.Numerical modeling ofliquefaction-induced deformation in sand[J].Rock andSoil Mechanics,2007,29(3):403-409.
[2]SATO T,MATSUMARU T.Liquefaction and groundflow analysis using the element free Galerkin method[C]//Proceedings of KKCNN Symposium on CivilEngineering.Gyeongiu(Korea):State of GyeongiuUniversity,2003:8-10.
[3]TANG X,SATO T.Effects of multi-directional inputmotion to responses of pile in liquefiable soils[C]//Proceedings of the 37th National Conference of JapaneseGeotechnical Society(CD-ROM).Kyoto:[s.n],2002:1895-1896.
[4]赵明华,刘敦平,邹新军.横向荷载下桩-土相互作用的无网格分析[J].岩土力学,2008,29(9):2476-2480.ZHAO Ming-hua,LIU Dun-ping,ZOU Xin-jun.Analysisof pile-soil interaction under horizontal load by meshlessmethod[J].Rock and Soil Mechanics,2008,29(9):2476-2480.
[5]栾茂田,叶祥记,杨庆,等.广义结点无网格法在土力学固结分析中的应用[J].岩土力学,2008,29(5):1227-1232.LUAN Mao-tian,YE Xiang-ji,YANG Qing,et al.Application of generalized-node-based meshfree methodto consolidation analysis based on Biot’s equations in soilmechanics[J].Rock and Soil Mechanics,2008,29(5):1227-1232.
[6]KRONGAUZ Y,BELYTSCHKO T.Enforcement ofessential boundary conditions in meshless approximationusing finite elements[J].Computation Methods inApplied Mechanics Engineering,1996,131(1/2):133-145.
[7]BELYTSCHKO T,ORGAN D Y,KROUGAUZ Y.ACoupled finite element-element free Galerkin method[J].Computational Mechanics,1995,17(3):186-195.
[8]张锋.计算土力学[M].北京:人民交通出版社,2007.
[9]OKA F,YASHIMA A,TATEISHI A,et al.A cyclicelastic-plastic constitutive model for sand considering aplastic-strain dependence of the shear modulus[J].Geotechnique,1999,49:661-680.
[10]R UZUOKA,T KUBO,A YASHIMA,et al Numericalstudy on 3-dimensional behavior of a damaged pilefoundation during the 1995 hyogo-ken nanbuearthquake[C]//Proceedings of 4th InternationalConference on Recent Advances in GeotechnicalEarthquake Engineering and Soil Dynamics,SanDiego(USA):[s.n],2001.
[11]YUAN Di TADANOBU SATO.A practical numericalmethod for large strain liquefaction analysis of saturatedsoils[J].Soil Dynamics and Earthquake Engineering,2004,24:251-260.
[12]唐小微,佐藤忠信,栾茂田.三维无网格数值方法及其在地震液化分析中的应用[C]//第七届全国土动力学学术会议论文集.北京,清华大学出版社,2006:487-492.
[13]T.MATSUMARU and T.SATO.Mesh free analysis ofliquefaction and ground flow phenomenon[C]//The thirdKU-KAIST-NTU Student Seminar on Civil EngineeringResearch.Awaji in Japan:State of Tyoko University2004(2):25-28.
[2]SATO T,MATSUMARU T.Liquefaction and groundflow analysis using the element free Galerkin method[C]//Proceedings of KKCNN Symposium on CivilEngineering.Gyeongiu(Korea):State of GyeongiuUniversity,2003:8-10.
[3]TANG X,SATO T.Effects of multi-directional inputmotion to responses of pile in liquefiable soils[C]//Proceedings of the 37th National Conference of JapaneseGeotechnical Society(CD-ROM).Kyoto:[s.n],2002:1895-1896.
[4]赵明华,刘敦平,邹新军.横向荷载下桩-土相互作用的无网格分析[J].岩土力学,2008,29(9):2476-2480.ZHAO Ming-hua,LIU Dun-ping,ZOU Xin-jun.Analysisof pile-soil interaction under horizontal load by meshlessmethod[J].Rock and Soil Mechanics,2008,29(9):2476-2480.
[5]栾茂田,叶祥记,杨庆,等.广义结点无网格法在土力学固结分析中的应用[J].岩土力学,2008,29(5):1227-1232.LUAN Mao-tian,YE Xiang-ji,YANG Qing,et al.Application of generalized-node-based meshfree methodto consolidation analysis based on Biot’s equations in soilmechanics[J].Rock and Soil Mechanics,2008,29(5):1227-1232.
[6]KRONGAUZ Y,BELYTSCHKO T.Enforcement ofessential boundary conditions in meshless approximationusing finite elements[J].Computation Methods inApplied Mechanics Engineering,1996,131(1/2):133-145.
[7]BELYTSCHKO T,ORGAN D Y,KROUGAUZ Y.ACoupled finite element-element free Galerkin method[J].Computational Mechanics,1995,17(3):186-195.
[8]张锋.计算土力学[M].北京:人民交通出版社,2007.
[9]OKA F,YASHIMA A,TATEISHI A,et al.A cyclicelastic-plastic constitutive model for sand considering aplastic-strain dependence of the shear modulus[J].Geotechnique,1999,49:661-680.
[10]R UZUOKA,T KUBO,A YASHIMA,et al Numericalstudy on 3-dimensional behavior of a damaged pilefoundation during the 1995 hyogo-ken nanbuearthquake[C]//Proceedings of 4th InternationalConference on Recent Advances in GeotechnicalEarthquake Engineering and Soil Dynamics,SanDiego(USA):[s.n],2001.
[11]YUAN Di TADANOBU SATO.A practical numericalmethod for large strain liquefaction analysis of saturatedsoils[J].Soil Dynamics and Earthquake Engineering,2004,24:251-260.
[12]唐小微,佐藤忠信,栾茂田.三维无网格数值方法及其在地震液化分析中的应用[C]//第七届全国土动力学学术会议论文集.北京,清华大学出版社,2006:487-492.
[13]T.MATSUMARU and T.SATO.Mesh free analysis ofliquefaction and ground flow phenomenon[C]//The thirdKU-KAIST-NTU Student Seminar on Civil EngineeringResearch.Awaji in Japan:State of Tyoko University2004(2):25-28.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心