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Volumn 41, Issue 4, 2010, Pages 525-539

A computational paradigm for multiresolution topology optimization (MTOP)

Author keywords

Density mesh; Design variable; Finite element mesh; Multiresolution; Projection scheme; Topology optimization

Indexed keywords

FINITE ELEMENT MESHES; MESH DESIGNS; MULTI-RESOLUTIONS; PROJECTION SCHEMES; TOPOLOGY OPTIMIZATION;

EID: 77953025845     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-009-0443-8     Document Type: Article
Times cited : (204)

References (37)
  • 1
    • 69949126091 scopus 로고    scopus 로고
    • A simple and effective inverse projection scheme for void distribution control in topology optimization
    • 10.1007/s00158-008-0332-6 2540110
    • SRM Almeida GH Paulino ECN Silva 2009 A simple and effective inverse projection scheme for void distribution control in topology optimization Struct Multidisc Optim 39 4 359 371 10.1007/s00158-008-0332-6 2540110
    • (2009) Struct Multidisc Optim , vol.39 , Issue.4 , pp. 359-371
    • Almeida, S.R.M.1    Paulino, G.H.2    Silva, E.C.N.3
  • 2
    • 66249097410 scopus 로고    scopus 로고
    • Approximate reanalysis in topology optimization
    • 10.1002/nme.2536
    • O Amir MP Bendsøe O Sigmund 2009 Approximate reanalysis in topology optimization Int J Numer Methods Eng 78 12 1474 1491 10.1002/nme.2536
    • (2009) Int J Numer Methods Eng , vol.78 , Issue.12 , pp. 1474-1491
    • Amir, O.1    Bendsøe, M.P.2    Sigmund, O.3
  • 3
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • MP Bendsøe 1989 Optimal shape design as a material distribution problem Struct Multidisc Optim 1 4 193 202
    • (1989) Struct Multidisc Optim , vol.1 , Issue.4 , pp. 193-202
    • Bendsøe, M.P.1
  • 4
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using homogenization method
    • 10.1016/0045-7825(88)90086-2
    • MP Bendsøe N Kikuchi 1988 Generating optimal topologies in structural design using homogenization method Comput Methods Appl Mech Eng 71 2 197 224 10.1016/0045-7825(88)90086-2
    • (1988) Comput Methods Appl Mech Eng , vol.71 , Issue.2 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 5
    • 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 9-10 635 654
    • (1999) Arch Appl Mech , vol.69 , Issue.910 , pp. 635-654
    • Bendsøe, M.P.1    Sigmund, O.2
  • 7
    • 0035860268 scopus 로고    scopus 로고
    • Large-scale topology optimization in 3D using parallel computing
    • DOI 10.1016/S0045-7825(01)00216-X, PII S004578250100216X
    • T Borrvall J Petersson 2001 Large-scale topology optimization in 3D using parallel computing Comput Methods Appl Mech Eng 190 46-47 6201 6229 10.1016/S0045-7825(01)00216-X 1841915 1022.74036 (Pubitemid 32961905)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.46-47 , pp. 6201-6229
    • Borrvall, T.1    Petersson, J.2
  • 9
    • 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
    • TE Bruns DA Tortorelli 2001 Topology optimization of non-linear elastic structures and compliant mechanisms Comput Methods Appl Mech Eng 190 26-27 3443 3459 10.1016/S0045-7825(00)00278-4 1014.74057 (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
  • 10
    • 60949096532 scopus 로고    scopus 로고
    • Multi-actuated functionally graded piezoelectric micro-tools design: A multiphysics topology optimization approach
    • 10.1002/nme.2403 1155.74391
    • RC Carbonari ECN Silva GH Paulino 2009 Multi-actuated functionally graded piezoelectric micro-tools design: a multiphysics topology optimization approach Int J Numer Methods Eng 77 3 301 336 10.1002/nme.2403 1155.74391
    • (2009) Int J Numer Methods Eng , vol.77 , Issue.3 , pp. 301-336
    • Carbonari, R.C.1    Silva, E.C.N.2    Paulino, G.H.3
  • 12
    • 2442443204 scopus 로고    scopus 로고
    • Topology optimization using a topology description function
    • 10.1007/s00158-003-0375-7
    • MJ de Ruiter F van Keulen 2004 Topology optimization using a topology description function Struct Multidisc Optim 26 6 406 416 10.1007/s00158-003- 0375-7
    • (2004) Struct Multidisc Optim , vol.26 , Issue.6 , pp. 406-416
    • De Ruiter, M.J.1    Van Keulen, F.2
  • 14
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • AR Diaz O Sigmund 1995 Checkerboard patterns in layout optimization Struct Multidisc Optim 10 1 40 45
    • (1995) Struct Multidisc Optim , vol.10 , Issue.1 , pp. 40-45
    • Diaz, A.R.1    Sigmund, O.2
  • 15
    • 74949116297 scopus 로고    scopus 로고
    • Reducing dimensionality in topology optimization using adaptive design variable fields
    • 10.1002/nme.2724
    • JK Guest LCS Genut 2009 Reducing dimensionality in topology optimization using adaptive design variable fields Int J Numer Methods Eng 10.1002/nme.2724
    • (2009) Int J Numer Methods Eng
    • Guest, J.K.1    Genut, L.C.S.2
  • 16
    • 4444271810 scopus 로고    scopus 로고
    • Achieving minimum length scale in topology optimization using nodal design variables and projection functions
    • DOI 10.1002/nme.1064
    • JK Guest JH Prevost T Belytschko 2004 Achieving minimum length scale in topology optimization using nodal design variables and projection functions Int J Numer Methods Eng 61 2 238 254 10.1002/nme.1064 2081218 1079.74599 (Pubitemid 39174684)
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.2 , pp. 238-254
    • Guest, J.K.1    Prevost, J.H.2    Belytschko, T.3
  • 17
    • 0033683401 scopus 로고    scopus 로고
    • Multi-resolution multi-scale topology optimization - A new paradigm
    • 10.1016/S0020-7683(99)00251-6 1772711 0981.74044
    • YY Kim GH Yoon 2000 Multi-resolution multi-scale topology optimization - a new paradigm Int J Solids Struct 37 39 5529 5559 10.1016/S0020-7683(99)00251-6 1772711 0981.74044
    • (2000) Int J Solids Struct , vol.37 , Issue.39 , pp. 5529-5559
    • Kim, Y.Y.1    Yoon, G.H.2
  • 18
    • 1842783308 scopus 로고    scopus 로고
    • Continuous approximation of material distribution for topology optimization
    • 10.1002/nme.945 2045640 1060.74583
    • K Matsui K Terada 2004 Continuous approximation of material distribution for topology optimization Int J Numer Methods Eng 59 14 1925 1944 10.1002/nme.945 2045640 1060.74583
    • (2004) Int J Numer Methods Eng , vol.59 , Issue.14 , pp. 1925-1944
    • Matsui, K.1    Terada, K.2
  • 19
    • 56549131179 scopus 로고    scopus 로고
    • Le CH A modified Q4/Q4 element for topology optimization
    • 10.1007/s00158-008-0228-5 2471018
    • GH Paulino 2009 Le CH A modified Q4/Q4 element for topology optimization Struct Multidisc Optim 37 3 255 264 10.1007/s00158-008-0228-5 2471018
    • (2009) Struct Multidisc Optim , vol.37 , Issue.3 , pp. 255-264
    • Paulino, G.H.1
  • 22
    • 67349133948 scopus 로고    scopus 로고
    • Optimal design of periodic functionally graded composites with prescribed properties
    • 10.1007/s00158-008-0300-1 2507783
    • GH Paulino ECN Silva CH Le 2009 Optimal design of periodic functionally graded composites with prescribed properties Struct Multidisc Optim 38 5 469 489 10.1007/s00158-008-0300-1 2507783
    • (2009) Struct Multidisc Optim , vol.38 , Issue.5 , pp. 469-489
    • Paulino, G.H.1    Silva, E.C.N.2    Le, C.H.3
  • 25
    • 0036865690 scopus 로고    scopus 로고
    • A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization
    • 10.1007/s00158-002-0251-x
    • TA Poulsen 2002 A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization Struct Multidisc Optim 24 5 396 399 10.1007/s00158-002-0251-x
    • (2002) Struct Multidisc Optim , vol.24 , Issue.5 , pp. 396-399
    • Poulsen, T.A.1
  • 26
    • 2642580849 scopus 로고    scopus 로고
    • A Q4/Q4 continuum structural topology optimization implementation
    • 10.1007/s00158-003-0365-9
    • SF Rahmatalla CC Swan 2004 A Q4/Q4 continuum structural topology optimization implementation Struct Multidisc Optim 27 1-2 130 135 10.1007/s00158-003-0365-9
    • (2004) Struct Multidisc Optim , vol.27 , Issue.12 , pp. 130-135
    • Rahmatalla, S.F.1    Swan, C.C.2
  • 27
    • 0030406317 scopus 로고    scopus 로고
    • Some shortcomings in Michell's truss theory
    • 2310593
    • GIN Rozvany 1996 Some shortcomings in Michell's truss theory Struct Multidisc Optim 12 4 244 250 2310593
    • (1996) Struct Multidisc Optim , vol.12 , Issue.4 , pp. 244-250
    • Rozvany, G.I.N.1
  • 28
    • 0035301717 scopus 로고    scopus 로고
    • Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
    • DOI 10.1007/s001580050174
    • GIN Rozvany 2001 Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics Struct Multidisc Optim 21 2 90 108 10.1007/s001580050174 (Pubitemid 32535045)
    • (2001) Structural and Multidisciplinary Optimization , vol.21 , Issue.2 , pp. 90-108
    • Rozvany, G.I.N.1
  • 29
    • 0000177670 scopus 로고
    • Generalized shape optimization without homogenization
    • GIN Rozvany M Zhou T Birker 1992 Generalized shape optimization without homogenization Struct Multidisc Optim 4 3-4 250 252
    • (1992) Struct Multidisc Optim , vol.4 , Issue.34 , pp. 250-252
    • Rozvany, G.I.N.1    Zhou, M.2    Birker, T.3
  • 30
    • 0348003151 scopus 로고    scopus 로고
    • Topology optimization: A tool for the tailoring of structures and materials
    • 10.1098/rsta.2000.0528 1759653 0984.74062
    • O Sigmund 2000 Topology optimization: a tool for the tailoring of structures and materials Philos Trans Math Phys Eng Sci 358 1765 211 227 10.1098/rsta.2000.0528 1759653 0984.74062
    • (2000) Philos Trans Math Phys Eng Sci , vol.358 , Issue.1765 , pp. 211-227
    • Sigmund, O.1
  • 31
    • 0035301988 scopus 로고    scopus 로고
    • A 99 line topology optimization code written in matlab
    • DOI 10.1007/s001580050176
    • O Sigmund 2001 A 99 line topology optimization code written in Matlab Struct Multidisc Optim 21 2 120 127 10.1007/s001580050176 (Pubitemid 32535047)
    • (2001) Structural and Multidisciplinary Optimization , vol.21 , Issue.2 , pp. 120-127
    • Sigmund, O.1
  • 32
    • 0032137868 scopus 로고    scopus 로고
    • Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
    • O Sigmund J Peterson 1998 Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima Struct Multidisc Optim 16 1 68 75
    • (1998) Struct Multidisc Optim , vol.16 , Issue.1 , pp. 68-75
    • Sigmund, O.1    Peterson, J.2
  • 33
    • 32444445830 scopus 로고    scopus 로고
    • An adaptive multilevel approach to the minimal compliance problem in topology optimization
    • DOI 10.1002/cnm.800
    • R Stainko 2006 An adaptive multilevel approach to the minimal compliance problem in topology optimization Commun Numer Methods Eng 22 2 109 118 10.1002/cnm.800 2201241 1095.74023 (Pubitemid 43224743)
    • (2006) Communications in Numerical Methods in Engineering , vol.22 , Issue.2 , pp. 109-118
    • Stainko, R.1
  • 34
    • 44949271438 scopus 로고
    • A homogenization method for shape and topology optimization
    • 10.1016/0045-7825(91)90245-2 0850.73195
    • K Suzuki N Kikuchi 1991 A homogenization method for shape and topology optimization Comput Methods Appl Mech Eng 93 3 291 318 10.1016/0045-7825(91) 90245-2 0850.73195
    • (1991) Comput Methods Appl Mech Eng , vol.93 , Issue.3 , pp. 291-318
    • Suzuki, K.1    Kikuchi, N.2
  • 35
    • 0023287947 scopus 로고
    • The method of moving asymptotes - A new method for structural optimization
    • 10.1002/nme.1620240207 875307 0602.73091
    • K Svanberg 1987 The method of moving asymptotes-a new method for structural optimization Int J Numer Methods Eng 24 359 373 10.1002/nme. 1620240207 875307 0602.73091
    • (1987) Int J Numer Methods Eng , vol.24 , pp. 359-373
    • Svanberg, K.1
  • 36
    • 58149481918 scopus 로고    scopus 로고
    • Honeycomb Wachspress finite elements for structural topology optimization
    • 10.1007/s00158-008-0261-4 2471018
    • C Talischi GH Paulino CH Le 2009 Honeycomb Wachspress finite elements for structural topology optimization Struct Multidisc Optim 37 6 569 583 10.1007/s00158-008-0261-4 2471018
    • (2009) Struct Multidisc Optim , vol.37 , Issue.6 , pp. 569-583
    • Talischi, C.1    Paulino, G.H.2    Le, C.H.3
  • 37
    • 33947216833 scopus 로고    scopus 로고
    • Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
    • DOI 10.1002/nme.1798
    • S Wang E Sturler GH Paulino 2007 Large-scale topology optimization using preconditioned Krylov subspace methods with recycling Int J Numer Methods Eng 69 12 2441 2468 10.1002/nme.1798 (Pubitemid 46421594)
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.12 , pp. 2441-2468
    • Wang, S.1    De Sturler, E.2    Paulino, G.H.3


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