메뉴 건너뛰기




Volumn 28, Issue 1-4, 1998, Pages 207-225

Generalized shape optimization of three-dimensional structures using materials with optimum microstructures

Author keywords

Homogenization; Mathematical programming; Optimum material microstructures; Optimum structural design; Three dimensional layout and topology optimization

Indexed keywords

BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; MATHEMATICAL PROGRAMMING; MICROSTRUCTURE; NUMERICAL METHODS; STIFFNESS;

EID: 0032066095     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(97)00056-2     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0040531935 scopus 로고
    • Explicit lamination parameters for three-dimensional shape optimization
    • Allaire, G., 1994. Explicit lamination parameters for three-dimensional shape optimization. Control Cybernetics 23, 311-326.
    • (1994) Control Cybernetics , vol.23 , pp. 311-326
    • Allaire, G.1
  • 3
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • Bendsøe, M.P., 1989. Optimal shape design as a material distribution problem. Struct. Opt. 1, 193-202.
    • (1989) Struct. Opt. , vol.1 , pp. 193-202
    • Bendsøe, M.P.1
  • 5
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsøe, M.P., Kikuchi, N., 1988. Generating optimal topologies in structural design using a homogenization method. Comput. Math. Appl. Mech. Eng. 71, 197-224.
    • (1988) Comput. Math. Appl. Mech. Eng. , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 6
    • 0019436655 scopus 로고
    • An investigation concerning optimal design of solid elastic plates
    • Cheng, K.-T., Olhoff, N., 1981. An investigation concerning optimal design of solid elastic plates. Int. J. Solids Struct. 17, 305-323.
    • (1981) Int. J. Solids Struct. , vol.17 , pp. 305-323
    • Cheng, K.-T.1    Olhoff, N.2
  • 7
    • 0019914698 scopus 로고
    • Regularized formulation for optimal design of axisymmetric plates
    • Cheng, K.-T., Olhoff, N., 1982. Regularized formulation for optimal design of axisymmetric plates. Int. J. Solids Struct. 18, 153-169.
    • (1982) Int. J. Solids Struct. , vol.18 , pp. 153-169
    • Cheng, K.-T.1    Olhoff, N.2
  • 8
    • 0030216262 scopus 로고    scopus 로고
    • Optimal design of three-dimensional axisymmetric elastic structures
    • Cherkaev, A.V., Palais, R., 1996. Optimal design of three-dimensional axisymmetric elastic structures. Struct. Opt. 12, 35-45.
    • (1996) Struct. Opt. , vol.12 , pp. 35-45
    • Cherkaev, A.V.1    Palais, R.2
  • 10
    • 0003561270 scopus 로고    scopus 로고
    • Birkhaüser, New York
    • Gibiansky, L.V., Cherkaev, A.V., 1987. Microstructures of composites of extremal rigidity and exact estimates of provided energy density (in Russian). Report No. 1155. A.F. Ioffe Physical-Technical Institute, Academy of Sciences of the USSR, Leningrad. English translation in: Kohn, R.V., Cherkaev, A.V. (Eds.), Topics in the Mathematical Modelling of Composite Materials. Birkhaüser, New York. 1997.
    • (1997) Topics in the Mathematical Modelling of Composite Materials
    • Kohn, R.V.1    Cherkaev, A.V.2
  • 11
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape design using a constraint on perimeter
    • Haber, R.B., Jog, C.S., Bendsøe, M.P., 1996. A new approach to variable-topology shape design using a constraint on perimeter. Struct. Opt. 11, 1-12.
    • (1996) Struct. Opt. , vol.11 , pp. 1-12
    • Haber, R.B.1    Jog, C.S.2    Bendsøe, M.P.3
  • 12
    • 0346189780 scopus 로고
    • Structural design optimization, homogenization and regularization of vibrational problems
    • Springer, Berlin
    • Kohn, R.V., Strang, G., 1982. Structural design optimization, homogenization and regularization of vibrational problems. In: Lecture Notes in Physics, vol. 154. Springer, Berlin, pp. 131-147.
    • (1982) Lecture Notes in Physics , vol.154 , pp. 131-147
    • Kohn, R.V.1    Strang, G.2
  • 13
    • 0020169555 scopus 로고
    • Regularization of optimal design problems for bars and plates
    • Lurie, K.A., Cherkaev, A.V., Fedorov, A.V., 1982a. Regularization of optimal design problems for bars and plates. JOTA 37 (1), 499-522.
    • (1982) JOTA , vol.37 , Issue.1 , pp. 499-522
    • Lurie, K.A.1    Cherkaev, A.V.2    Fedorov, A.V.3
  • 14
    • 0020174391 scopus 로고
    • Regularization of optimal design problems for bars and plates
    • Lurie, K.A., Cherkaev, A.V., Fedorov, A.V., 1982b. Regularization of optimal design problems for bars and plates. JOTA 37 (2), 523-543.
    • (1982) JOTA , vol.37 , Issue.2 , pp. 523-543
    • Lurie, K.A.1    Cherkaev, A.V.2    Fedorov, A.V.3
  • 15
    • 0019715279 scopus 로고
    • Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates
    • Olhoff, N., Lurie, K.A., Cherkaev, A.V., Fedorov, A.V., 1981. Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates. Int. J. Solids Struct. 17, 931-948.
    • (1981) Int. J. Solids Struct. , vol.17 , pp. 931-948
    • Olhoff, N.1    Lurie, K.A.2    Cherkaev, A.V.3    Fedorov, A.V.4
  • 17
    • 0001436542 scopus 로고
    • Topology optimization of bi-material structures
    • Pedersen, P. (ed.), 18-20 August, Lyngby, Denmark. Springer-Verlag, Berlin
    • Olhoff, N., Thomsen, J., Rasmussen, J., 1992. Topology optimization of bi-material structures. In: Pedersen, P. (ed.), Proc. IUTAM Symp. Optimal Design with Advanced Materials, 18-20 August, Lyngby, Denmark. Springer-Verlag, Berlin, pp. 191-206.
    • (1992) Proc. IUTAM Symp. Optimal Design with Advanced Materials , pp. 191-206
    • Olhoff, N.1    Thomsen, J.2    Rasmussen, J.3
  • 18
    • 0001939298 scopus 로고
    • Bounds on elastic energy in solids of orthotropic materials
    • Pedersen, P., 1990. Bounds on elastic energy in solids of orthotropic materials. Struct. Opt. 2, 55-63.
    • (1990) Struct. Opt. , vol.2 , pp. 55-63
    • Pedersen, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.