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Volumn 43, Issue 3, 2009, Pages 393-401

Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials

Author keywords

Bi directional evolutionary structural optimization (BESO); Material interpolation scheme; Optimal design

Indexed keywords

INTERPOLATION; OPTIMAL SYSTEMS; TOPOLOGY;

EID: 55849125803     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0312-0     Document Type: Article
Times cited : (457)

References (33)
  • 1
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • MP Bendsøe N Kikuchi 1988 Generating optimal topologies in structural design using a homogenization method Comp Meth Appl Mech Eng 71 197 224
    • (1988) Comp Meth Appl Mech Eng , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 3
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • MP Bendsøe 1989 Optimal shape design as a material distribution problem Struct Optim 1 193 202
    • (1989) Struct Optim , vol.1 , pp. 193-202
    • Bendsøe, M.P.1
  • 4
    • 0026203039 scopus 로고
    • The COC algorithm, part II: Topological, geometry and generalized shape optimization
    • M Zhou GIN Rozvany 1991 The COC algorithm, part II: Topological, geometry and generalized shape optimization Comp Meth Appl Mech Eng 89 197 224
    • (1991) Comp Meth Appl Mech Eng , vol.89 , pp. 197-224
    • Zhou, M.1    Rozvany, G.I.N.2
  • 5
    • 0000177670 scopus 로고
    • Generalized shape optimization without homogenization
    • GIN Rozvany M Zhou T Birker 1992 Generalized shape optimization without homogenization Struct Optim 4 250 254
    • (1992) Struct Optim , vol.4 , pp. 250-254
    • Rozvany, G.I.N.1    Zhou, M.2    Birker, T.3
  • 6
    • 0035301717 scopus 로고    scopus 로고
    • Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
    • GIN Rozvany 2001 Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics Struct Multidiscipl Optim 21 90 108
    • (2001) Struct Multidiscipl Optim , vol.21 , pp. 90-108
    • Rozvany, G.I.N.1
  • 7
    • 0027908013 scopus 로고
    • A simple evolutionary procedure for structural optimization
    • YM Xie GP Steven 1993 A simple evolutionary procedure for structural optimization Comp Struct 49 885 896
    • (1993) Comp Struct , vol.49 , pp. 885-896
    • Xie, Y.M.1    Steven, G.P.2
  • 9
    • 0030125131 scopus 로고    scopus 로고
    • Evolutionary structural optimization for problems with stiffness constraints
    • DN Chu YM Xie A Hira GP Steven 1996 Evolutionary structural optimization for problems with stiffness constraints Finite Elements Anal Des 21 239 251
    • (1996) Finite Elements Anal des , vol.21 , pp. 239-251
    • Chu, D.N.1    Xie, Y.M.2    Hira, A.3    Steven, G.P.4
  • 10
    • 0030105479 scopus 로고    scopus 로고
    • Evolutionary structural optimization for dynamic problems
    • YM Xie GP Steven 1996 Evolutionary structural optimization for dynamic problems Comp Struct 58 1067 1073
    • (1996) Comp Struct , vol.58 , pp. 1067-1073
    • Xie, Y.M.1    Steven, G.P.2
  • 11
    • 0035302168 scopus 로고    scopus 로고
    • Sufficiency of a finite exponent in SIMP (power law) methods
    • A Rietz 2001 Sufficiency of a finite exponent in SIMP (power law) methods Struct Multidiscipl Optim 21 159 163
    • (2001) Struct Multidiscipl Optim , vol.21 , pp. 159-163
    • Rietz, A.1
  • 12
    • 0032296112 scopus 로고    scopus 로고
    • Evolutionary structural optimization (ESO) using a bi-directional algorithm
    • OM Querin GP Steven YM Xie 1998 Evolutionary structural optimization (ESO) using a bi-directional algorithm Eng Comput 15 1031 1048
    • (1998) Eng Comput , vol.15 , pp. 1031-1048
    • Querin, O.M.1    Steven, G.P.2    Xie, Y.M.3
  • 13
    • 0033226161 scopus 로고    scopus 로고
    • Bidirectional evolutionary method for stiffness optimization
    • 11
    • XY Yang YM Xie GP Steven OM Querin 1999 Bidirectional evolutionary method for stiffness optimization AIAA J 37 11 1483 1488
    • (1999) AIAA J , vol.37 , pp. 1483-1488
    • Yang, X.Y.1    Xie, Y.M.2    Steven, G.P.3    Querin, O.M.4
  • 14
    • 0034272906 scopus 로고    scopus 로고
    • Computational efficiency and validation of bi-directional evolutionary structural optimisation
    • OM Querin V Young GP Steven YM Xie 2000 Computational efficiency and validation of bi-directional evolutionary structural optimisation Comp Meth Appl Mech Eng 189 559 573
    • (2000) Comp Meth Appl Mech Eng , vol.189 , pp. 559-573
    • Querin, O.M.1    Young, V.2    Steven, G.P.3    Xie, Y.M.4
  • 15
    • 0037159899 scopus 로고    scopus 로고
    • The evolutionary structural optimization method: Theoretical aspects
    • P Tanskanen 2002 The evolutionary structural optimization method: theoretical aspects Comp Meth Appl Mech Eng 191 5485 5498
    • (2002) Comp Meth Appl Mech Eng , vol.191 , pp. 5485-5498
    • Tanskanen, P.1
  • 16
    • 0030123599 scopus 로고    scopus 로고
    • Stability of finite element models for distributed-parameter optimization and topology design
    • CS Jog RB Haber 1996 Stability of finite element models for distributed-parameter optimization and topology design Comp Meth Appl Mech Eng 130 203 226
    • (1996) Comp Meth Appl Mech Eng , vol.130 , pp. 203-226
    • Jog, C.S.1    Haber, R.B.2
  • 17
    • 0032137868 scopus 로고    scopus 로고
    • Numerical instability in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
    • O Sigmund J Petersson 1998 Numerical instability in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima Struct Optim 16 68 75
    • (1998) Struct Optim , vol.16 , pp. 68-75
    • Sigmund, O.1    Petersson, J.2
  • 18
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape design using a constraint on the perimeter
    • RB Haber MP Bendsøe CS Jog 1996 A new approach to variable-topology shape design using a constraint on the perimeter Struct Optim 11 1 12
    • (1996) Struct Optim , vol.11 , pp. 1-12
    • Haber, R.B.1    Bendsøe, M.P.2    Jog, C.S.3
  • 19
    • 0032047007 scopus 로고    scopus 로고
    • Slope constrained topology optimization
    • J Petersson O Sigmund 1998 Slope constrained topology optimization Int J Numer Meth Eng 41 1417 1434
    • (1998) Int J Numer Meth Eng , vol.41 , pp. 1417-1434
    • Petersson, J.1    Sigmund, O.2
  • 21
    • 0035970370 scopus 로고    scopus 로고
    • Filters in topology optimization
    • 9
    • B Bourdin 2001 Filters in topology optimization Int J Numer Meth Eng 50 9 2143 2158
    • (2001) Int J Numer Meth Eng , vol.50 , pp. 2143-2158
    • Bourdin, B.1
  • 22
    • 0035472298 scopus 로고    scopus 로고
    • A simple checkerboard suppression algorithm for evolutionary structural optimization
    • Q Li GP Steven YM Xie 2001 A simple checkerboard suppression algorithm for evolutionary structural optimization Struct Multidisc Optim 22 230 239
    • (2001) Struct Multidisc Optim , vol.22 , pp. 230-239
    • Li, Q.1    Steven, G.P.2    Xie, Y.M.3
  • 24
    • 35148836776 scopus 로고    scopus 로고
    • Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method
    • X Huang YM Xie 2007 Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method Finite Elements Anal Des 43 1039 1049
    • (2007) Finite Elements Anal des , vol.43 , pp. 1039-1049
    • Huang, X.1    Xie, Y.M.2
  • 25
    • 0035267506 scopus 로고    scopus 로고
    • On the validity of ESO type methods in topology optimization
    • M Zhou GIN Rozvany 2001 On the validity of ESO type methods in topology optimization Struct Multidisc Optim 21 80 83
    • (2001) Struct Multidisc Optim , vol.21 , pp. 80-83
    • Zhou, M.1    Rozvany, G.I.N.2
  • 26
    • 34848839020 scopus 로고    scopus 로고
    • An evaluative study on ESO and SIMP for optimizing a cantilever tie-beam
    • 5
    • CS Edwards HA Kim CJ Budd 2007 An evaluative study on ESO and SIMP for optimizing a cantilever tie-beam Struct Multidisc Optim 34 5 403 414
    • (2007) Struct Multidisc Optim , vol.34 , pp. 403-414
    • Edwards, C.S.1    Kim, H.A.2    Budd, C.J.3
  • 27
    • 36448985991 scopus 로고    scopus 로고
    • A new look at the ESO/BESO optimization methods
    • 1
    • X Huang YM Xie 2008 A new look at the ESO/BESO optimization methods Struct Multidisc Optim 35 1 89 92
    • (2008) Struct Multidisc Optim , vol.35 , pp. 89-92
    • Huang, X.1    Xie, Y.M.2
  • 28
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • MP Bendsøe O Sigmund 1999 Material interpolation schemes in topology optimization Arch Appl Mech 69 635 654
    • (1999) Arch Appl Mech , vol.69 , pp. 635-654
    • Bendsøe, M.P.1    Sigmund, O.2
  • 29
    • 0035301988 scopus 로고    scopus 로고
    • A 99 line topology optimization code written in Matlab
    • O Sigmund 2001 A 99 line topology optimization code written in Matlab Struct Multidisc Optim 21 120 127
    • (2001) Struct Multidisc Optim , vol.21 , pp. 120-127
    • Sigmund, O.1
  • 31
    • 0006234362 scopus 로고    scopus 로고
    • On the trajectories of penalization methods for topology optimization
    • M Stolpe K Svanberg 2001 On the trajectories of penalization methods for topology optimization Struct Multidiscipl Optim 22 116 124
    • (2001) Struct Multidiscipl Optim , vol.22 , pp. 116-124
    • Stolpe, M.1    Svanberg, K.2
  • 32
    • 0031270912 scopus 로고    scopus 로고
    • On the design of compliant mechanism using topology optimization
    • O Sigmund 1997 On the design of compliant mechanism using topology optimization Mech Struct Mach 25 495 526
    • (1997) Mech Struct Mach , vol.25 , pp. 495-526
    • Sigmund, O.1
  • 33
    • 0031169474 scopus 로고    scopus 로고
    • Design of materials with extreme thermal expansion using a three-phase topology optimization method
    • O Sigmund S Torquato 1997 Design of materials with extreme thermal expansion using a three-phase topology optimization method J Mech Phys Solids 45 1037 1067
    • (1997) J Mech Phys Solids , vol.45 , pp. 1037-1067
    • Sigmund, O.1    Torquato, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.