基于离散-连续耦合方法的地下结构在地震中破坏过程模拟
|
摘要
基于改进后的土体离散-连续耦合算法,对坂神地震中神户大开地铁车站的坍塌破坏过程进行了数值模拟.通过改进适用于Lagrange乘子法求解的优化模型,来强化离散和连续模型在耦合边界上力的相容性,并将改进后的算法嵌入离散-连续耦合动力模型.在耦合边界通过交换速度和力保证耦合模型的连续性,通过自振柱模拟和循环双轴模拟使离散区域土体的宏观动力属性与连续土体模型一致.土体离散-连续耦合方法可以从细观尺度描述重点考察区域土体和结构的破坏过程,并有效降低离散元的模拟规模.模拟得到的车站破坏形式与文献中现场情况非常接近,并从定量角度与文献中基于连续体的模拟结果进行了比较.
Based on the improved discrete-continuum soil model,the collapse process of the Daikai station is computationally modeled.The improved optimization model via the Lagrange multiplier method is employed.The continuity between the discrete and continuum domains is fulfilled by interchanging velocities and forces between them.By performing the free vibration column simulation and numerical cyclic biaxial tests,the degradation curve of the particle assembly is obtained and then applied to the continuum model.Results show that computationally obtained damage pattern is similar to the real collapsed situation of the subway station after the earthquake.Besides,the computationally obtained horizontal differential displacement of subway station column is in qualitative agreement with the existing published results.The present coupled macro-micro approach not only can efficiently reduce particle numbers but also provide a microscopic damage details within the concerned zone.
Based on the improved discrete-continuum soil model,the collapse process of the Daikai station is computationally modeled.The improved optimization model via the Lagrange multiplier method is employed.The continuity between the discrete and continuum domains is fulfilled by interchanging velocities and forces between them.By performing the free vibration column simulation and numerical cyclic biaxial tests,the degradation curve of the particle assembly is obtained and then applied to the continuum model.Results show that computationally obtained damage pattern is similar to the real collapsed situation of the subway station after the earthquake.Besides,the computationally obtained horizontal differential displacement of subway station column is in qualitative agreement with the existing published results.The present coupled macro-micro approach not only can efficiently reduce particle numbers but also provide a microscopic damage details within the concerned zone.
引文
[1]Huo H,Bobeta,Ferandez G,Ramirez J.Seismic Eval-uation of the Failure of the Daikai Station During theKobe Earthquake[C].//The 3rd International Con-ference on Earthquake Geotechnical Engineering,Uni-versity of California,Berkeley,California,2004:758-765.
[2]Iida H,Hiroto T,YoshidaA N,Iwafuji M.Damage toDaikai subway station[J].Soils and Foundations,1996,Special:283-300.
[3]王瑞民,罗奇峰.阪神地震中地下结构和隧道的破坏现象浅析[J].灾害学,1998,13(2):63-66.(Wang RM,Luo Q F.Analysis on the damage to undergroundstructure and tunnel in Kobe are caused by Hanshinearthquake[J].Journal of Catastrophology,1998,13(2):63-66.(in Chinese))
[4]曹炳政,罗奇峰,马硕,刘晶波.神户大开地铁车站的地震反应分析[J].地震工程与工程振动,2002,22(4):102-107.(Cao B Z,Luo Q F,Ma S,Liu J B.Seis-mic response analysis of Dakai subway station inHyogoken-naubu earthquake[J].Earthquake Engi-neering and Engineering Vibration,2002,22(4):102-107.(in Chinese))
[5]庄海洋,程绍革,陈国兴.阪神地震中大开地铁车站震害机制数值仿真分析[J].岩土力学,2008,29(1):245-250.(Zhuang H Y,Cheng S G,Cheng G X.Nu-merical simulation and analysis of earthquake damagesof Dakai metro station cuased by Kobe earthquake[J].Roch and Soil Mechanics,2008,29(1):245-250.(in Chinese))
[6]Cai M,Kaiser P K,Morioka H,Minami M,MaejimaT,Tasaka Y,Kurose H.FLAC/PFC coupled numeri-cal simulation of AE in large-scale underground exca-vations[J].International Journal of Rock Mechanicsand Mining Sciences,2007,44:550-564.
[7]Jin W,Zhou J.A coupled micro-macro method for pilepenetration analysis[C].//Proceedings of the 2010Geoshanghai International Conference.Shanghai:Geotechnical Special Publication No.200,2010:234-239.
[8]周健,金炜枫.基于耦合方法的挡土墙地震响应的数值模拟[J].岩土力学,2010,31(12):3949-3957.(Zhou J,Jin W F.Coupled approach based simulationof a retaining wall under seismic excitation[J].Rockand Soil Mechanics,2010,31(12):3949-3957.(in Chi-nese))
[9]金炜枫,周健.列车振动下隧道与土体响应的双尺度耦合模拟[J].岩石力学与工程学报,2011,30(5):1016-1024.(Jin W F,Zhou J.Two-scale coupled sim-ulation of tunnel-soil vibrations under train excitation[J].Chinese Civil Engineering Journal,2011,30(5):1016-1024.(in Chinese))
[10]Cundall P A.PFC User Manual[M].Minneapolis,Minnesota:Itasca Consulting Group Inc,2004.
[11]周健,史旦达,贾敏才,闫东霄.循环加荷条件下饱和砂土液化细观数值模拟[J].水利学报,2007,38(6):697-703.(Zhou J,Shi D D,Jia M C,Yan D X.Micro-mechanical simulation of liquefaction behavior of satu-rated sand under cyclic loading[J].Journal of Hy-draulic Engineering,2007,38(6):697-703.(in Chi-nese))
[12]周健,邓益兵,贾敏才,王家全.基于颗粒单元接触的二维离散-连续耦合分析方法[J].岩土工程学报,2010,32(10):1479-1484.(Zhou J,Deng Y B,Jia MC,Wang J Q.Coupling method of two-dimensionaldiscontinuum-continuum based on contact betweenparticle and element[J].Chinese Journal of Geotech-nical Engineering,2010,32(10):1479-1484.(in Chi-nese))
[13]姜朴.现代土工测量技术[M].北京:中国水利水电出版社,1996.
[14]顾尧章,李相崧,沈智刚.土动力学中的自振柱试验[J].土木工程学报,1984,17(2):39-47.(Gu Y Z,Li XS,Shen C K.A free-vibrating column test in soil dy-namics[J].China Civil Engineering Journal,1984,17(2):39-47.(in Chinese))
[15]Li X S.Laboratory Determination of Shear Modulusand Damping of Soils Using a Microcomputer BasedInstrumentation System[M.S.Thesis][D].Davis:University of California at Davis,1982.
[16]Cundall P A.FlAC User Manual[M].Minneapolis:Itasca Consulting Group Inc,1998.
[17]Emeriault F,Cambou B.Micromechanical modelling ofanisotropic non-linear elasticity of granular medium[J].International Journal of Solids and Structures,1996,33(18):2591-2607.
[18]Hicher P Y,Chang C S.A microstructural elasto-plastic model for unsaturated granular materials[J].International Journal of Solids and Structures,2005,44:2304-2323.
[19]Hicher P Y,Chang C S.Evaluation of two homogeni-zation techniques for modeling the elastic behavior ofgranular materials[J].Journal of Engineering Me-chanics,2005,131(11):1184-1194.
[20]Hicher P Y,Chang C S.Dano C.Multi-scale modelingof grouted sand behavior[J].International Journal ofSolids and Structures,2008,45:4362-4374.
[21]Scholtes L,Hicher P Y,Nicot F,Chareyre B,DarveF.On the capillary stress tensor in wet granular mate-rials[J].International Journal for Numerical and Ana-lytical Methods in Geomechanics,2009,33:1289-1313.
[2]Iida H,Hiroto T,YoshidaA N,Iwafuji M.Damage toDaikai subway station[J].Soils and Foundations,1996,Special:283-300.
[3]王瑞民,罗奇峰.阪神地震中地下结构和隧道的破坏现象浅析[J].灾害学,1998,13(2):63-66.(Wang RM,Luo Q F.Analysis on the damage to undergroundstructure and tunnel in Kobe are caused by Hanshinearthquake[J].Journal of Catastrophology,1998,13(2):63-66.(in Chinese))
[4]曹炳政,罗奇峰,马硕,刘晶波.神户大开地铁车站的地震反应分析[J].地震工程与工程振动,2002,22(4):102-107.(Cao B Z,Luo Q F,Ma S,Liu J B.Seis-mic response analysis of Dakai subway station inHyogoken-naubu earthquake[J].Earthquake Engi-neering and Engineering Vibration,2002,22(4):102-107.(in Chinese))
[5]庄海洋,程绍革,陈国兴.阪神地震中大开地铁车站震害机制数值仿真分析[J].岩土力学,2008,29(1):245-250.(Zhuang H Y,Cheng S G,Cheng G X.Nu-merical simulation and analysis of earthquake damagesof Dakai metro station cuased by Kobe earthquake[J].Roch and Soil Mechanics,2008,29(1):245-250.(in Chinese))
[6]Cai M,Kaiser P K,Morioka H,Minami M,MaejimaT,Tasaka Y,Kurose H.FLAC/PFC coupled numeri-cal simulation of AE in large-scale underground exca-vations[J].International Journal of Rock Mechanicsand Mining Sciences,2007,44:550-564.
[7]Jin W,Zhou J.A coupled micro-macro method for pilepenetration analysis[C].//Proceedings of the 2010Geoshanghai International Conference.Shanghai:Geotechnical Special Publication No.200,2010:234-239.
[8]周健,金炜枫.基于耦合方法的挡土墙地震响应的数值模拟[J].岩土力学,2010,31(12):3949-3957.(Zhou J,Jin W F.Coupled approach based simulationof a retaining wall under seismic excitation[J].Rockand Soil Mechanics,2010,31(12):3949-3957.(in Chi-nese))
[9]金炜枫,周健.列车振动下隧道与土体响应的双尺度耦合模拟[J].岩石力学与工程学报,2011,30(5):1016-1024.(Jin W F,Zhou J.Two-scale coupled sim-ulation of tunnel-soil vibrations under train excitation[J].Chinese Civil Engineering Journal,2011,30(5):1016-1024.(in Chinese))
[10]Cundall P A.PFC User Manual[M].Minneapolis,Minnesota:Itasca Consulting Group Inc,2004.
[11]周健,史旦达,贾敏才,闫东霄.循环加荷条件下饱和砂土液化细观数值模拟[J].水利学报,2007,38(6):697-703.(Zhou J,Shi D D,Jia M C,Yan D X.Micro-mechanical simulation of liquefaction behavior of satu-rated sand under cyclic loading[J].Journal of Hy-draulic Engineering,2007,38(6):697-703.(in Chi-nese))
[12]周健,邓益兵,贾敏才,王家全.基于颗粒单元接触的二维离散-连续耦合分析方法[J].岩土工程学报,2010,32(10):1479-1484.(Zhou J,Deng Y B,Jia MC,Wang J Q.Coupling method of two-dimensionaldiscontinuum-continuum based on contact betweenparticle and element[J].Chinese Journal of Geotech-nical Engineering,2010,32(10):1479-1484.(in Chi-nese))
[13]姜朴.现代土工测量技术[M].北京:中国水利水电出版社,1996.
[14]顾尧章,李相崧,沈智刚.土动力学中的自振柱试验[J].土木工程学报,1984,17(2):39-47.(Gu Y Z,Li XS,Shen C K.A free-vibrating column test in soil dy-namics[J].China Civil Engineering Journal,1984,17(2):39-47.(in Chinese))
[15]Li X S.Laboratory Determination of Shear Modulusand Damping of Soils Using a Microcomputer BasedInstrumentation System[M.S.Thesis][D].Davis:University of California at Davis,1982.
[16]Cundall P A.FlAC User Manual[M].Minneapolis:Itasca Consulting Group Inc,1998.
[17]Emeriault F,Cambou B.Micromechanical modelling ofanisotropic non-linear elasticity of granular medium[J].International Journal of Solids and Structures,1996,33(18):2591-2607.
[18]Hicher P Y,Chang C S.A microstructural elasto-plastic model for unsaturated granular materials[J].International Journal of Solids and Structures,2005,44:2304-2323.
[19]Hicher P Y,Chang C S.Evaluation of two homogeni-zation techniques for modeling the elastic behavior ofgranular materials[J].Journal of Engineering Me-chanics,2005,131(11):1184-1194.
[20]Hicher P Y,Chang C S.Dano C.Multi-scale modelingof grouted sand behavior[J].International Journal ofSolids and Structures,2008,45:4362-4374.
[21]Scholtes L,Hicher P Y,Nicot F,Chareyre B,DarveF.On the capillary stress tensor in wet granular mate-rials[J].International Journal for Numerical and Ana-lytical Methods in Geomechanics,2009,33:1289-1313.
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