引文
[1]张政华,毕丹,李兆霞.基于结构多尺度模拟和分析的大跨斜拉桥应变监测传感器优化布置研究[J].工程力学,2009,26(1):142―148.Zhang Zhenghua,Bi Dan,Li Zhaoxia.Research on optimal placement of strain sensors in deck of cable-stayed bridges based on multi-scale modeling and analysis[J].Engineering Mechanics,2009,26(1):142―148.(in Chinese)
[2]张锐,唐志平.三维离散元与壳体有限元耦合的时空多尺度方法[J].工程力学,2010,27(4):44―50.Zhang Rui,Tang Zhiping.A multiscale method of time and spaceby coupling Three-dimensionaldem and cylindrical shell FEM[J].Engineering Mechanics,2010,27(4):44―050.(in Chinese)
[3]陈志文,李兆霞,卫志勇.土木结构损伤多尺度并发计算方法及其应用[J].工程力学,2012,29(10):205―210.Chen Zhiwen,Li Zhaoxia,Wei Zhiyong.Concurrent multi-scale computational method for Damage analyses of civil structures[J].Engineering Mechanics,2012,29(10):205―210.(in Chinese)
[4]Cundall P A,Strack O D.A discrete numerical model for granular assemblies[J].Geotechnique,1979,29(1):47―65.
[5]Oate E,Rojek J.Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems[J].Computer Methods In Applied Mechanics And Engineering,2004,193(27/28/29):3087―3128.
[6]Azevedo N M,Lemos J.Hybrid discrete element/finite element method for fracture analysis[J].Computer Methods In Applied Mechanics And Engineering,2006,195(33):4579―4593.
[7]Lei Z,Zang M.An approach to combining 3D discrete and finite element methods based on penalty function method[J].Computational Mechanics,2010,46(4):609―619.
[8]Zang M,Gao W,Lei Z.A contact algorithm for 3D discrete and finite element contact problems based on penalty function method[J].Computational Mechanics,2011,48(5):541―550.
[9]Zhao G F,Khalili N,Fang J,Zhao J.A coupled distinct lattice spring model for rock failure under dynamic loads[J].Computers and Geotechnics,2012(42):1―20.
[10]Saiang D.Stability analysis of the blast-induced damage zone by continuum and coupled continuumdiscontinuum methods[J].Engineering Geology,2010,116(1/2):1―11.
[11]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 Jian,Jin Weifeng.Coupled approach based numerical simulation of a retaining wall under seismic excitation.Rock and Soil Mechanics,2010,31(12):3949―3957.(in Chinese)
[12]张华,陆阳,余建华.连续-离散介质动力耦合模型在斜坡堆积体地震响应分析中的应用[J].公路交通科技,2011,28(5):6―11,27.Zhang Hua,Lu Yang,Yu Jianhua.Application of continuum and discrete medium dynamic coupling model in seismic response analysis of a deposit covered slope[J].Journal of Highway and Transportation Research and Development.2011,28(5):6―11,27.(in Chinese)
[13]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 Jian,Deng Yibing,Jia Mincai,Wang Jiaquan.coupling method of two-dimensional discontinuumcontinuum based on contact between particle and element[J].Chinese Journal of Geotechnical Engineering,2010,32(10):1479―1484.(in Chinese)
[14]金炜枫,周健,张姣.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[J].固体力学学报,2013,34(1):93―102.Jin Weifeng,Zhou Jian,Zhang Jiao.collapse simulation of the subway structure during the earthquake based on the two-scale coupled method[J].Chinese Journal of Solid Mechanics,2013,34(1):93―102.(in Chinese)
[15]Adelman S,Doll J.Generalized Langevin equation approach for atom/solid-surface scattering:General formulation for classical scattering off harmonic solids[J].The Journal of Chemical Physics,1976(64):2375.
[16]Doll J,Dion D.Generalized Langevin equation approach for atom/solid–surface scattering:Numerical techniques for Gaussian generalized Langevin dynamics[J].The Journal of Chemical Physics,1976(65):3762.
[17]Celep Z,Baant Z P.Spurious reflection of elastic waves due to gradually changing finite element size[J].International Journal for Numerical Methods in Engineering,1983,19(5):631―646.
[18]Yu H T,Yuan Y,Bobet A.Multiscale method for long tunnels subjected to seismic loading[J].International Journal for Numerical and Analytical Methods in Geomechanics,2013,37(4):374―398.
[19]Yu H T,Yuan Y,Qiao Z Z,Gu Y,Yang Z H,Li X D.Seismic analysis of a long tunnel based on multi-scale method[J].Engineering Structures,2013(49):572―587.
[20]禹海涛,袁勇.地下结构多尺度动力分析方法[J].力学学报,2012,44(6):1028―1036.Yu Haitao,Yuan Yong.Multi-scale dynamic analysis method for underground structures[J].Chinese Journal of Theoretical and Applied Mechanics,2012,44(6):1028―1036.(in Chinese)
[21]Chamoin L,Prudhomme S,Ben Dhia H,Oden T.Ghost forces and spurious effects in atomic-to-continuum coupling methods by the Arlequin approach[J].International Journal for Numerical Methods in Engineering,2010,83(8/9):1081―1113.
[22]Xiao S P,Belytschko T.A bridging domain method for coupling continua with molecular dynamics[J].Computer Methods in Applied Mechanics and Engineering,2004,193(17/18/19/20):1645―1669.
[23]Rojek J,Oate E.Multiscale analysis using a coupled discrete/finite element model[J].Interaction and Multiscale Mechanics,2007,1(1):1―31.