메뉴 건너뛰기




Volumn 47, Issue 1, 2013, Pages 49-61

Efficient generation of large-scale pareto-optimal topologies

Author keywords

Large scale; Pareto; Topology optimization

Indexed keywords

ALGORITHM AND IMPLEMENTATION; COMPUTATIONAL CHALLENGES; FINITE ELEMENT; LARGE SCALE; MATRIX-FREE IMPLEMENTATION; MULTICORE ARCHITECTURES; NUMERICAL EXPERIMENTS; PARETO; PARETO-OPTIMAL; SINGLE PASS;

EID: 84871989180     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-012-0807-3     Document Type: Article
Times cited : (93)

References (48)
  • 1
    • 0038053170 scopus 로고    scopus 로고
    • Une méthode de lignes de niveaux pour l'optimisation de forme
    • DOI 10.1016/S1631-073X(02)02412-3, PII S1631073X02024123
    • Allaire G (2002) A level-set method for shape optimization. Comptes Rendus Math 334(12):1125-1130 (Pubitemid 36645737)
    • (2002) Comptes Rendus Mathematique , vol.334 , Issue.12 , pp. 1125-1130
    • Allaire, G.1    Jouve, F.2    Toader, A.-M.3
  • 2
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • DOI 10.1016/j.jcp.2003.09.032
    • Allaire G (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363-393 (Pubitemid 38184245)
    • (2004) Journal of Computational Physics , vol.194 , Issue.1 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.-M.3
  • 3
    • 20044371668 scopus 로고    scopus 로고
    • A level-set method for vibration and multiple loads structural optimization
    • DOI 10.1016/j.cma.2004.12.018, PII S0045782505000472
    • Allaire G, Jouve F (2005) A level-set method for vibration and multiple loads structural optimization. Comput Methods Appl Mech Eng 194(30-33):3269-3290 (Pubitemid 40771523)
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , Issue.30-33 , pp. 3269-3290
    • Allaire, G.1    Jouve, F.2
  • 4
    • 69949126091 scopus 로고    scopus 로고
    • A simple and effective inverse projection scheme for void distribution control in topology optimization
    • 2540110 10.1007/s00158-008-0332-6
    • Almeida SRM, Paulino G, Silva ECN (2009) A simple and effective inverse projection scheme for void distribution control in topology optimization. Struct Multidisc Optim 39(4):359-371
    • (2009) Struct Multidisc Optim , vol.39 , Issue.4 , pp. 359-371
    • Almeida, S.R.M.1    Paulino, G.2    Silva, E.C.N.3
  • 5
    • 79958162199 scopus 로고    scopus 로고
    • On reducing computational effort in topology optimization: How far can we go?
    • 10.1007/s00158-010-0586-7
    • Amir O, Sigmund O (2011) On reducing computational effort in topology optimization: how far can we go? Struct Multidisc Optim 44(1):25-29
    • (2011) Struct Multidisc Optim , vol.44 , Issue.1 , pp. 25-29
    • Amir, O.1    Sigmund, O.2
  • 6
    • 66249097410 scopus 로고    scopus 로고
    • Approximate reanalysis in topology optimization
    • 1183.74216 10.1002/nme.2536
    • Amir O, Bendsøe M, Sigmund O (2009) Approximate reanalysis in topology optimization. Int J Numer Methods Eng 78:1474-1491
    • (2009) Int J Numer Methods Eng , vol.78 , pp. 1474-1491
    • Amir, O.1    Bendsøe, M.2    Sigmund, O.3
  • 7
    • 77952959489 scopus 로고    scopus 로고
    • Efficient use of iterative solvers in nested topology optimization
    • 10.1007/s00158-009-0463-4
    • Amir O, Stolpe M, Sigmund O (2010) Efficient use of iterative solvers in nested topology optimization. Struct Multidisc Optim 42(1):55-72
    • (2010) Struct Multidisc Optim , vol.42 , Issue.1 , pp. 55-72
    • Amir, O.1    Stolpe, M.2    Sigmund, O.3
  • 8
    • 33751419708 scopus 로고    scopus 로고
    • An element-based displacement preconditioner for linear elasticity problems
    • DOI 10.1016/j.compstruc.2006.08.057, PII S0045794906002884
    • Augarde CE, Ramage A, Staudacher J (2006) An element-based displacement preconditioner for linear elasticity problems. Comput Struct 84(31-32):2306-2315 (Pubitemid 44820356)
    • (2006) Computers and Structures , vol.84 , Issue.31-32 , pp. 2306-2315
    • Augarde, C.E.1    Ramage, A.2    Staudacher, J.3
  • 9
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • 10.1016/0045-7825(88)90086-2
    • Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197-224
    • (1988) Comput Methods Appl Mech Eng , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 11
    • 77949822684 scopus 로고    scopus 로고
    • A congruence problem for polyhedra
    • 2640850 1207.52011 10.4169/000298910X480081
    • Borisov A, Dickinson M, Hastings S (2010) A congruence problem for polyhedra. Am Math Mon 117(3):232-249
    • (2010) Am Math Mon , vol.117 , Issue.3 , pp. 232-249
    • Borisov, A.1    Dickinson, M.2    Hastings, S.3
  • 12
    • 0035860268 scopus 로고    scopus 로고
    • Large-scale topology optimization in 3D using parallel computing
    • DOI 10.1016/S0045-7825(01)00216-X, PII S004578250100216X
    • Borrvall T, Petersson J (2001) Large-scale topology optimization in 3-D using parallel computing. Comput Methods Appl Mech Eng 190:6201-6229 (Pubitemid 32961905)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.46-47 , pp. 6201-6229
    • Borrvall, T.1    Petersson, J.2
  • 13
    • 0035896055 scopus 로고    scopus 로고
    • Topology optimization of non-linear elastic structures and compliant mechanisms
    • DOI 10.1016/S0045-7825(00)00278-4, PII S0045782500002784
    • Bruns TE, Tortorelli DA (2001) Topology optimization of non-linear elastic structures and compliant mechanisms. Comput Methods Appl Mech Eng 190(26-27):3443-3459 (Pubitemid 32379192)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.26-27 , pp. 3443-3459
    • Bruns, T.E.1    Tortorelli, D.A.2
  • 14
    • 0033847129 scopus 로고    scopus 로고
    • The shape and topological optimizations connection
    • 0972.74057 10.1016/S0045-7825(99)00357-6
    • Céa J, Garreau S, Guillaume P, Masmoudi M (2000) The shape and topological optimization connection. Comput Methods Appl Mech Eng 188(4):713-726
    • (2000) Comput Methods Appl Mech Eng , vol.188 , Issue.4 , pp. 713-726
    • Céa, J.1    Garreau, S.2    Guillaume, P.3    Masmoudi, M.4
  • 15
    • 34249772762 scopus 로고
    • Bubble method for topology and shape optimization of structures
    • 10.1007/BF01742933
    • Eschenauer HA (1994) Bubble method for topology and shape optimization of structures. Struct Optim 8:42-51
    • (1994) Struct Optim , vol.8 , pp. 42-51
    • Eschenauer, H.A.1
  • 16
    • 49649114314 scopus 로고    scopus 로고
    • Large-scale parallel topology optimization using a dual-primal substructuring solver
    • 2430492 10.1007/s00158-007-0190-7
    • Evgrafov A, Rupp CJ, Maute K, Dunn ML (2008) Large-scale parallel topology optimization using a dual-primal substructuring solver. Struct Multidisc Optim 36:329-345
    • (2008) Struct Multidisc Optim , vol.36 , pp. 329-345
    • Evgrafov, A.1    Rupp, C.J.2    Maute, K.3    Dunn, M.L.4
  • 17
    • 80051560842 scopus 로고    scopus 로고
    • The topological-shape sensitivity method in two-dimensional linear elasticity topology design
    • Idelsohn VSSR (ed) CIMNE
    • Feijóo RA (2005) The topological-shape sensitivity method in two-dimensional linear elasticity topology design. In: Idelsohn VSSR (ed) Applications of computational mechanics in structures and fluids. CIMNE
    • (2005) Applications of Computational Mechanics in Structures and Fluids
    • Feijóo, R.A.1
  • 18
    • 33947588604 scopus 로고    scopus 로고
    • Performance and accuracy of hardware-oriented native-, emulated- and mixed-precision solvers in FEM simulations
    • DOI 10.1080/17445760601122076, PII 779508744
    • Goddeke D, Strzodka R, Turek S (2007) Performance and accuracy of hardware-oriented native-emulated- and mixed-precision solvers in FEM simulations. IJPEDS 22(4):221-256 (Pubitemid 46925816)
    • (2007) International Journal of Parallel, Emergent and Distributed Systems , vol.22 , Issue.4 , pp. 221-256
    • Goddeke, D.1    Strzodka, R.2    Turek, S.3
  • 19
    • 48949115366 scopus 로고    scopus 로고
    • Feature sensitivity: A generalization of topological sensitivity
    • 2441977 10.1016/j.finel.2008.03.006
    • Gopalakrishnan SH, Suresh K (2008) Feature sensitivity: a generalization of topological sensitivity. Finite Elem Anal Des 44(11):696-704
    • (2008) Finite Elem Anal des , vol.44 , Issue.11 , pp. 696-704
    • Gopalakrishnan, S.H.1    Suresh, K.2
  • 20
    • 84859611811 scopus 로고    scopus 로고
    • An isogeometrical approach to structural topology optimization by optimality criteria
    • 2872844 10.1007/s00158-011-0680-5
    • Hassani B, Khanzadi M, Tavakkoli SM (2012) An isogeometrical approach to structural topology optimization by optimality criteria. Struct Multidisc Optim 45(2):223-233
    • (2012) Struct Multidisc Optim , vol.45 , Issue.2 , pp. 223-233
    • Hassani, B.1    Khanzadi, M.2    Tavakkoli, S.M.3
  • 21
    • 34447270283 scopus 로고    scopus 로고
    • Incorporating topological derivatives into shape derivatives based level set methods
    • 2346703 1122.65057 10.1016/j.jcp.2007.01.003
    • He L (2007) Incorporating topological derivatives into shape derivatives based level set methods. J Comput Phys 225(1):891-909
    • (2007) J Comput Phys , vol.225 , Issue.1 , pp. 891-909
    • He, L.1
  • 23
    • 0034297852 scopus 로고    scopus 로고
    • Combined approximations - A general reanalysis approach for structural optimization
    • 10.1007/s001580050141
    • Kirsch U (2000) Combined approximations - a general reanalysis approach for structural optimization. Struct Multidisc Optim 20(2):97-106
    • (2000) Struct Multidisc Optim , vol.20 , Issue.2 , pp. 97-106
    • Kirsch, U.1
  • 24
    • 0023381475 scopus 로고
    • Marching cubes: A high resolution 3D surface reconstruction algorithm
    • 10.1145/37402.37422
    • Lorensen WE, Cline HE (1987) Marching cubes: a high resolution 3D surface reconstruction algorithm. Comput Graph (Proc SIGGRAPH) 21(4):163-169
    • (1987) Comput Graph (Proc SIGGRAPH) , vol.21 , Issue.4 , pp. 163-169
    • Lorensen, W.E.1    Cline, H.E.2
  • 26
    • 77953025845 scopus 로고    scopus 로고
    • A computational paradigm for multiresolution topology optimization (MTOP)
    • 2601471 10.1007/s00158-009-0443-8
    • Nguyen T, Paulino G, Song J, Le C (2010) A computational paradigm for multiresolution topology optimization (MTOP). Struct Multidisc Optim 41:525-539
    • (2010) Struct Multidisc Optim , vol.41 , pp. 525-539
    • Nguyen, T.1    Paulino, G.2    Song, J.3    Le, C.4
  • 29
    • 34547626784 scopus 로고    scopus 로고
    • Topological sensitivity analysis for three-dimensional linear elasticity problem
    • 2348784
    • Novotny AA (2005b) Topological sensitivity analysis for three-dimensional linear elasticity problem. Comput Methods Appl Mech Eng 196(41-44):4354-4364
    • (2005) Comput Methods Appl Mech Eng , vol.196 , Issue.41-44 , pp. 4354-4364
    • Novotny, A.A.1
  • 30
    • 72149121739 scopus 로고    scopus 로고
    • Topological-shape sensitivity method: Theory and applications
    • 10.1007/1-4020-4752-5-45
    • Novotny AA (2006) Topological-shape sensitivity method: theory and applications. Solid Mech Appl 137:469-478
    • (2006) Solid Mech Appl , vol.137 , pp. 469-478
    • Novotny, A.A.1
  • 32
    • 56449087079 scopus 로고    scopus 로고
    • A critical review of established methods of structural topology optimization
    • 2457010 10.1007/s00158-007-0217-0
    • Rozvany G (2009) A critical review of established methods of structural topology optimization. Struct Multidisc Optim 37(3):217-237
    • (2009) Struct Multidisc Optim , vol.37 , Issue.3 , pp. 217-237
    • Rozvany, G.1
  • 35
    • 0035301988 scopus 로고    scopus 로고
    • A 99 line topology optimization code written in matlab
    • DOI 10.1007/s001580050176
    • Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 21(2):120-127 (Pubitemid 32535047)
    • (2001) Structural and Multidisciplinary Optimization , vol.21 , Issue.2 , pp. 120-127
    • Sigmund, O.1
  • 36
    • 0032681559 scopus 로고    scopus 로고
    • On topological derivative in shape optimization
    • 1691940 0940.49026 10.1137/S0363012997323230
    • Sokolowski J (1999) On topological derivative in shape optimization. SIAM J Control Optim 37(4):1251-1272
    • (1999) SIAM J Control Optim , vol.37 , Issue.4 , pp. 1251-1272
    • Sokolowski, J.1
  • 37
    • 84856577783 scopus 로고    scopus 로고
    • Topology optimization for braced frames: Combining continuum and discrete elements
    • 10.1016/j.engstruct.2011.12.034
    • Stromberg LL, Beghini A, Baker WF, Paulino G (2012) Topology optimization for braced frames: combining continuum and discrete elements. Eng Struct 37:106-124
    • (2012) Eng Struct , vol.37 , pp. 106-124
    • Stromberg, L.L.1    Beghini, A.2    Baker, W.F.3    Paulino, G.4
  • 38
    • 79951768964 scopus 로고    scopus 로고
    • A 199-line Matlab code for Pareto-optimal tracing in topology optimization
    • 2720274 10.1007/s00158-010-0534-6
    • Suresh K (2010) A 199-line Matlab code for Pareto-optimal tracing in topology optimization. Struct Multidisc Optim 42(5):665-679
    • (2010) Struct Multidisc Optim , vol.42 , Issue.5 , pp. 665-679
    • Suresh, K.1
  • 39
    • 77950224398 scopus 로고    scopus 로고
    • Polygonal finite elements for topology optimization: A unifying paradigm
    • 1188.74072
    • Talischi C, Paulino G, Pereira A, Menezes FM (2010) Polygonal finite elements for topology optimization: a unifying paradigm. Int J Numer Methods Eng 82(6):671-698
    • (2010) Int J Numer Methods Eng , vol.82 , Issue.6 , pp. 671-698
    • Talischi, C.1    Paulino, G.2    Pereira, A.3    Menezes, F.M.4
  • 40
    • 84859606370 scopus 로고    scopus 로고
    • PolyTop: A Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
    • 10.1007/s00158-011-0696-x
    • Talischi C, Paulino G, Pereira A, Menezes FM (2012) PolyTop: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes. Struct Multidisc Optim. doi: 10.1007/s00158-011-0696-x
    • (2012) Struct Multidisc Optim.
    • Talischi, C.1    Paulino, G.2    Pereira, A.3    Menezes, F.M.4
  • 41
    • 44849116946 scopus 로고    scopus 로고
    • Generalization of topological sensitivity and its application to defeaturing
    • Las Vegas
    • Turevsky I, Suresh K (2007) Generalization of topological sensitivity and its application to defeaturing. In: ASME IDETC conference, Las Vegas
    • (2007) ASME IDETC Conference
    • Turevsky, I.1    Suresh, K.2
  • 42
    • 80051561982 scopus 로고    scopus 로고
    • Efficient generation of pareto-optimal topologies for compliance
    • 1242.74065 10.1002/nme.3165
    • Turevsky I, Suresh K (2011a) Efficient generation of pareto-optimal topologies for compliance. Int J Numer Methods Eng 87(12):1207-1228
    • (2011) Int J Numer Methods Eng , vol.87 , Issue.12 , pp. 1207-1228
    • Turevsky, I.1    Suresh, K.2
  • 43
    • 84863586585 scopus 로고    scopus 로고
    • Tracing the envelope of the objective-space in multi-objective topology optimization
    • Washington, DC
    • Turevsky I, Suresh K (2011b) Tracing the envelope of the objective-space in multi-objective topology optimization. Presented at the ASME IDETC/CIE conference, Washington, DC
    • (2011) Presented at the ASME IDETC/CIE Conference
    • Turevsky, I.1    Suresh, K.2
  • 44
    • 70249148972 scopus 로고    scopus 로고
    • An efficient numerical method for computing the topological sensitivity of arbitrary shaped features in plate bending
    • 1176.74144 10.1002/nme.2637
    • Turevsky I, Gopalakrishnan SH, Suresh K (2009) An efficient numerical method for computing the topological sensitivity of arbitrary shaped features in plate bending. Int J Numer Methods Eng 79:1683-1702
    • (2009) Int J Numer Methods Eng , vol.79 , pp. 1683-1702
    • Turevsky, I.1    Gopalakrishnan, S.H.2    Suresh, K.3
  • 47
    • 70350783892 scopus 로고    scopus 로고
    • Maximizing the fundamental eigenfrequency of geometrically nonlinear structures by topology optimization based on element connectivity parameterization
    • 10.1016/j.compstruc.2009.07.006
    • Yoon GH (2010) Maximizing the fundamental eigenfrequency of geometrically nonlinear structures by topology optimization based on element connectivity parameterization. Comput Struct 88(1-2):120-133
    • (2010) Comput Struct , vol.88 , Issue.1-2 , pp. 120-133
    • Yoon, G.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.