Topology optimization approachesA comparative review

被引：0
作者：
Ole Sigmund
Kurt Maute
机构：
[1] Technical University of Denmark,Department of Mechanical Engineering, Solid Mechanics
[2] University of Colorado,Aerospace Engineering Sciences
来源：
Structural and Multidisciplinary Optimization | 2013年 / 48卷
关键词：
Structural optimization; Topology optimization; Density methods; Level set methods; Phase field methods; Topological derivatives;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Topology optimization has undergone a tremendous development since its introduction in the seminal paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in many different directions, including “density”, “level set”, “topological derivative”, “phase field”, “evolutionary” and several others. The paper gives an overview, comparison and critical review of the different approaches, their strengths, weaknesses, similarities and dissimilarities and suggests guidelines for future research.
引用
收藏
页码：1031 / 1055
页数：24
相关论文
共 392 条
[1]  
Aage N(2013)Interactive topology optimization on hand-held devices Struct Multidiscip Optim 47 1-6
[2]  
Nobel-Jørgensen M(2008)Minimum stress optimal design with the level set method Eng AnalBound Elemen 32 909-918
[3]  
Andreasen C(2002)A level-set method for shape optimization C R Math 334 1125-1130
[4]  
Sigmund O(2004)Structural optimization using sensitivity analysis and a level-set method J Comput Phys 194 363-393
[5]  
Allaire G(2005)Structural optimization using topological and shape sensitivity via a level set method Control Cybern 34 59-80
[6]  
Jouve F(1993)An optimal design problem with perimeter penalization Calc Var 1 55-69
[7]  
Allaire G(2011)Connections between topological sensitivity analysis and material interpolation schemes in topology optimization Struct Multidiscip Optim 43 755-765
[8]  
Jouve F(2010)Topological optimization of structures subject to von mises stress constraints Struct Multidiscip Optim 41 407-420
[9]  
Toader AM(2011)Efficient topology optimization in matlab using 88 lines of code Struct Multidiscip Optim 43 1-16
[10]  
Allaire G(2007)A simple evolutionary topology optimization procedure for compliant mechanism design Finite Elem Anal Des 44 53-62
12345678910