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Volumn 37, Issue 3, 2009, Pages 255-264

A modified Q4/Q4 element for topology optimization

Author keywords

Displacement mesh; Material mesh; Node based design variables; Q4 Q4; Q4 Q4M; Q4 U; Topology optimization

Indexed keywords

OPTIMIZATION; STRUCTURAL OPTIMIZATION;

EID: 56549131179     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-008-0228-5     Document Type: Article
Times cited : (57)

References (25)
  • 1
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • MP Bendsoe 1989 Optimal shape design as a material distribution problem Struct Multidisc Optim 1 193 202
    • (1989) Struct Multidisc Optim , vol.1 , pp. 193-202
    • Bendsoe, M.P.1
  • 2
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • MP Bendsoe O Sigmund 1999 Material interpolation schemes in topology optimization Arch Appl Mech 69 635 654
    • (1999) Arch Appl Mech , vol.69 , pp. 635-654
    • Bendsoe, M.P.1    Sigmund, O.2
  • 4
    • 0035896055 scopus 로고    scopus 로고
    • Topology optimization of non-linear elastic structures and compliant mechanisms
    • TE Bruns DA Tortorelli 2001 Topology optimization of non-linear elastic structures and compliant mechanisms Comput Methods Appl Mech Eng 190 3443 3459
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 3443-3459
    • Bruns, T.E.1    Tortorelli, D.A.2
  • 6
    • 2442443204 scopus 로고    scopus 로고
    • Topology optimization using a topology description function
    • MJ de Ruiter F van Keulen 2004 Topology optimization using a topology description function Struct Multidisc Optim 26 406 416
    • (2004) Struct Multidisc Optim , vol.26 , pp. 406-416
    • De Ruiter, M.J.1    Van Keulen, F.2
  • 7
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • A Diaz O Sigmund 1995 Checkerboard patterns in layout optimization Struct Multidisc Optim 10 40 45
    • (1995) Struct Multidisc Optim , vol.10 , pp. 40-45
    • Diaz, A.1    Sigmund, O.2
  • 8
    • 0033443078 scopus 로고    scopus 로고
    • Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
    • J Douglas Jr JE Santos D Sheen X Ye 1999 Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems Model Math Anal Numer 33 747 770
    • (1999) Model Math Anal Numer , vol.33 , pp. 747-770
    • Douglas Jr, J.1    Santos, J.E.2    Sheen, D.3    Ye, X.4
  • 9
    • 4444271810 scopus 로고    scopus 로고
    • Achieving minimum length scale in topology optimization using nodal design variables and projection functions
    • 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 61 238 254
    • (2004) Int J Numer Methods Eng , vol.61 , pp. 238-254
    • Guest, J.K.1    Prevost, J.H.2    Belytschko, T.3
  • 11
    • 0030123599 scopus 로고    scopus 로고
    • Stability of finite element models for distributed-parameter optimization and topology design
    • CS Jog RC Haber 1996 Stability of finite element models for distributed-parameter optimization and topology design Comput Methods Appl Mech Eng 130 203 226
    • (1996) Comput Methods Appl Mech Eng , vol.130 , pp. 203-226
    • Jog, C.S.1    Haber, R.C.2
  • 12
    • 0036660685 scopus 로고    scopus 로고
    • Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials
    • JH Kim GH Paulino 2002 Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials ASME J Appl Mech 69 502 514
    • (2002) ASME J Appl Mech , vol.69 , pp. 502-514
    • Kim, J.H.1    Paulino, G.H.2
  • 13
    • 0028433884 scopus 로고
    • Extended exact least-weight truss layouts, part II: Unsymmetric cantilevers
    • T Lewinski M Zhou GIN Rozvany 1994 Extended exact least-weight truss layouts, part II: unsymmetric cantilevers Int J Mech Sci 36 399 419
    • (1994) Int J Mech Sci , vol.36 , pp. 399-419
    • Lewinski, T.1    Zhou, M.2    Rozvany, G.I.N.3
  • 14
    • 1842783308 scopus 로고    scopus 로고
    • Continuous approximation of material distribution for topology optimization
    • K Matsui K Terada 2004 Continuous approximation of material distribution for topology optimization Int J Numer Methods Eng 59 1925 1944
    • (2004) Int J Numer Methods Eng , vol.59 , pp. 1925-1944
    • Matsui, K.1    Terada, K.2
  • 16
    • 33947223674 scopus 로고    scopus 로고
    • Design of functionally graded structures using topology optimization
    • GH Paulino ECN Silva 2005 Design of functionally graded structures using topology optimization Mat Sci Forum 492-493 435 440
    • (2005) Mat Sci Forum , vol.492-493 , pp. 435-440
    • Paulino, G.H.1    Silva, E.C.N.2
  • 18
  • 19
    • 0036865690 scopus 로고    scopus 로고
    • A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization
    • TA Poulsen 2002 A simple scheme to prevent checkerboard patterns and one-node connected hinges in topology optimization Struct Multidisc Optim 24 396 399
    • (2002) Struct Multidisc Optim , vol.24 , pp. 396-399
    • Poulsen, T.A.1
  • 20
    • 0037196186 scopus 로고    scopus 로고
    • Topology optimization in wavelet space
    • TA Poulsen 2003 Topology optimization in wavelet space Int J Numer Methods Eng 53 567 582
    • (2003) Int J Numer Methods Eng , vol.53 , pp. 567-582
    • Poulsen, T.A.1
  • 21
    • 2642580849 scopus 로고    scopus 로고
    • A Q4/Q4 continuum structural topology optimization implementation
    • SF Rahmatalla CC Swan 2004 A Q4/Q4 continuum structural topology optimization implementation Struct Multidisc Optim 27 130 135
    • (2004) Struct Multidisc Optim , vol.27 , pp. 130-135
    • Rahmatalla, S.F.1    Swan, C.C.2
  • 23
    • 56549105261 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 27 130 135
    • (2001) Struct Multidisc Optim , vol.27 , pp. 130-135
    • Sigmund, O.1
  • 24
    • 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 Petersson 1998 Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima Struct Multidisc Optim 16 68 75
    • (1998) Struct Multidisc Optim , vol.16 , pp. 68-75
    • Sigmund, O.1    Petersson, J.2
  • 25
    • 0026203039 scopus 로고
    • The COC algorithm, part II: Topological, geometrical and generalized shape optimization
    • M Zhou GIN Rozvany 1991 The COC algorithm, part II: topological, geometrical and generalized shape optimization Comput Methods Appl Mech Eng 89 309 336
    • (1991) Comput Methods Appl Mech Eng , vol.89 , pp. 309-336
    • Zhou, M.1    Rozvany, G.I.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.