[1]Bendsoe M P,Kikuchi N.Generating Optimal Topologies in Structural Design Using a Homogenization Method[J]. Comput. Methods Appl. Mech. Eng.,1988,71(2):197-224.
[2]Bendsoe M P, Sigmund O.Material Interpolation Schemes in Topology Optimization[J].Arch. Appl. Mech., 1999,69(9/10):635-654.
[3]罗震.基于变密度法的连续体结构拓扑优化设计技术研究[D].武汉:华中科技大学, 2005.
[4]Challis J V.A Discrete Level-set Topology Optimization Code Written in MATLAB[J].Struct. Multidisc. Optim.,2010,41(3):453-464.
[5]隋允康, 杨德庆.多工况应力和位移约束下连续体结构拓扑优化[J].力学学报, 2000, 32(2): 171-179.
Sui Yunkang,Yang Deqing,Wang Bei.Topological Optimization of Continuum Structure with Stress and Displacement Constraints under Multiple Loading Cases[J]. Acta Mech. Sin.,2000,32(2): 171-179.
[6]Xie Y M, Steven G P.A Simple Evolutionary Procedure for Structural Optimization[J]. Comput. & Struct., 1993,49(5):885-896.
[7]Rozvany G I N.A Critical Review of Established Methods of Structural Topology Optimization[J].Struct. Multidisc. Optim., 2010, 37(3):217-237.
[8]Bruggi M.On the Solution of the Checkerboard Problem in Mixed-FEM Topology Optimization[J]. Comput. & Struct. , 2008, 86(19/20): 1819-1829.
[9]Zheng J, Long S Y, Xiong Y B,et al.A Topology Optimization Design for the Continuum Structure Based on the Meshless Numerical Technique[J]. CMES:Comput. Model. Eng.& Sci., 2008,34(2):137-154.
[10]Zhou J X, Zou W.Meshless Approximation Combined with Implicit Topology Description for Optimization of Continua[J]. Struct. Multidisc. Optim., 2008,36(4):347-353.
[11]Bendse M P, Sigmund O.Topology Optimization Theory, Methods and Applications[M].New York: Springer, 2003.
[12]Nguyen-Thoi T, Liu G R, Lam K Y,et al.A Face-based Smoothed Finite Element Method (FS-FEM) for 3D Linear and Geometrically Nonlinear Solid Mechanics Problems Using 4-node Tetrahedral Elements[J].Int. J. Numer. Mech. Engrg., 2009, 78(3):324-353.
[13]Liu G R.A Generalized Gradient Smoothing Technique and the Smoothed Bilinear Form for Galerkin Formulation of a Wide Class of Computational Methods[J].Int. J. Computational Methods, 2008,5(2): 199-236.
[14]Fujii D, Kikuchi N.Improvement of Numerical Instabilities in Topology Optimization Using SLP Method[J].Struct. Multidisc. Optim., 2000,19(2):113-121.
[15]Svanberg K.The Method of Moving Asymptotes-a New Method for Structural Optimization[J].Int. J. Numer. Meth. Engrg., 1987,24(2):359-373.
[16]Olhoff N, Ronholt E, Scheel J.Topology Optimization of Three Dimensional Structures Using Optimum Microstructures[J]. Struct. Optim., 1998,16(1):1-18.
|