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Volumn 35, Issue 3-4, 1998, Pages 219-237

Optimal topology design using a global self-organisational approach

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; ELASTICITY; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; OPTIMIZATION; STRAIN; STRESS ANALYSIS;

EID: 0031641686     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00064-4     Document Type: Article
Times cited : (27)

References (42)
  • 2
    • 0001196857 scopus 로고
    • SKO (soft kill option): The biological way to find an optimum structure topology
    • Baumgartner, L., Hazheim, L. and Mattheck, C. (1992) SKO (soft kill option): the biological way to find an optimum structure topology. International Journal of Fatigue 6, 387-393.
    • (1992) International Journal of Fatigue , vol.6 , pp. 387-393
    • Baumgartner, L.1    Hazheim, L.2    Mattheck, C.3
  • 3
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsoe, M. P. and Kikuchi, N. (1988) Generating optimal topologies in structural design using a homogenization method. Composite Methods in Applied Mechanical Engineering 71, 197-224.
    • (1988) Composite Methods in Applied Mechanical Engineering , vol.71 , pp. 197-224
    • Bendsoe, M.P.1    Kikuchi, N.2
  • 4
    • 0042980074 scopus 로고
    • The behavior of bone as a two-phase porous structure
    • Carter, D. R. and Hayes, W. C. (1977) The behavior of bone as a two-phase porous structure. Journal of Bone Joint Surgery 59-A, 964-962.
    • (1977) Journal of Bone Joint Surgery , vol.59 A , pp. 964-1962
    • Carter, D.R.1    Hayes, W.C.2
  • 5
    • 0023162010 scopus 로고
    • Trabecular bone density and loading history: Regulation of connective tissue biology by mechanical energy
    • Carter, D. R., Fyhrie, D. P. and Whalen, R. T. (1987) Trabecular bone density and loading history: Regulation of connective tissue biology by mechanical energy. Journal of Biomechanics 20, 785-794.
    • (1987) Journal of Biomechanics , vol.20 , pp. 785-794
    • Carter, D.R.1    Fyhrie, D.P.2    Whalen, R.T.3
  • 6
    • 0023522742 scopus 로고
    • Mechanical loading history and skeletal biology
    • Carter, D. R. (1987) Mechanical loading history and skeletal biology. Journal of Biomechanics 20, 1095-1109.
    • (1987) Journal of Biomechanics , vol.20 , pp. 1095-1109
    • Carter, D.R.1
  • 7
    • 0016974131 scopus 로고
    • Bone remodelling 1: A theory of adaptive elasticity
    • Cowin, S. C. and Hegedus, D. H. (1976) Bone remodelling 1: A theory of adaptive elasticity. Journal of Elasticity 6, 313-326.
    • (1976) Journal of Elasticity , vol.6 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 9
    • 0027656943 scopus 로고
    • Chaos in the discrete-time algorithm for bone-density remodelling rate equations
    • Cowin, S. C., Arramon, Y. P., Luo, G. M. and Sadegh, A. M. (1993) Chaos in the discrete-time algorithm for bone-density remodelling rate equations. Journal of Biomechanics 26, 1077-1089.
    • (1993) Journal of Biomechanics , vol.26 , pp. 1077-1089
    • Cowin, S.C.1    Arramon, Y.P.2    Luo, G.M.3    Sadegh, A.M.4
  • 10
    • 0042321862 scopus 로고    scopus 로고
    • EMRC, Engineering Mechanical Research Corporation, Troy, Michigan, USA:NISAII User Manual.
    • NISAII User Manual
  • 11
    • 0026864084 scopus 로고
    • An analytical and numerical study of the stability of bone remodelling theories : Dependence on microstructural stimulus
    • Harrigan, T. P. and Hamilton, J. J. (1992a) An analytical and numerical study of the stability of bone remodelling theories : Dependence on microstructural stimulus. Journal of Biomechanics 25, 477-488.
    • (1992) Journal of Biomechanics , vol.25 , pp. 477-488
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 12
    • 0027094719 scopus 로고
    • Optimality conditions for finite element simulation of adaptive bone remodeling
    • Harrigan, T. P. and Hamilton, J. J. (1992b) Optimality conditions for finite element simulation of adaptive bone remodeling. International Journal of Solids and Structures 25(23), 2897-2906.
    • (1992) International Journal of Solids and Structures , vol.25 , Issue.23 , pp. 2897-2906
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 13
    • 0027555703 scopus 로고
    • Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method
    • Harrigan, T. P. and Hamilton, J. J. (1993) Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method. International Journal of Numerical Methods in Engineering 25, 837-854.
    • (1993) International Journal of Numerical Methods in Engineering , vol.25 , pp. 837-854
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 14
    • 0028315808 scopus 로고
    • Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling
    • Harrigan, T. P. and Hamilton, J. J. (1994a) Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling. International Journal of Solids and Structures 31(1), 97-107.
    • (1994) International Journal of Solids and Structures , vol.31 , Issue.1 , pp. 97-107
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 15
    • 0028385288 scopus 로고
    • Bone remodeling and structural optimization
    • Harrigan, T. P. and Hamilton, J. J. (1994b) Bone remodeling and structural optimization. Journal of Biomechanics 27, 323-328.
    • (1994) Journal of Biomechanics , vol.27 , pp. 323-328
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 18
    • 0000528263 scopus 로고
    • A new method of structural shape optimization based on biological growth
    • Mattheck, C. and Burkhardt, S. (1990) A new method of structural shape optimization based on biological growth. International Journal of Fatigue 12, 185-190.
    • (1990) International Journal of Fatigue , vol.12 , pp. 185-190
    • Mattheck, C.1    Burkhardt, S.2
  • 19
    • 0027656943 scopus 로고
    • Chaos in the discrete-time algorithm for bone-density remodelling rate equations
    • Cowin, S. C., Arramon, Y. P., Luo, G. M. and Sadegh, A. M. (1993) Chaos in the discrete-time algorithm for bone-density remodelling rate equations. Journal of Biomechanics 26, 1077-1089.
    • (1993) Journal of Biomechanics , vol.26 , pp. 1077-1089
    • Cowin, S.C.1    Arramon, Y.P.2    Luo, G.M.3    Sadegh, A.M.4
  • 20
    • 0042321862 scopus 로고    scopus 로고
    • EMRC, Engineering Mechanical Research Corporation, Troy, Michigan, USA :NISAII User Manual.
    • NISAII User Manual
  • 21
    • 0026864084 scopus 로고
    • An analytical and numerical study of the stability of bone remodelling theories : Dependence on microstructural stimulus
    • Harrigan, T. P. and Hamilton, J. J. (1992a) An analytical and numerical study of the stability of bone remodelling theories : Dependence on microstructural stimulus. Journal of Biomechanics 25, 477-488.
    • (1992) Journal of Biomechanics , vol.25 , pp. 477-488
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 22
    • 0027094719 scopus 로고
    • Optimality conditions for finite element simulation of adaptive bone remodeling
    • Harrigan, T. P. and Hamilton, J. J (1992b) Optimality conditions for finite element simulation of adaptive bone remodeling. International Journal of Solids and Structures 25(23), 2897-2906.
    • (1992) International Journal of Solids and Structures , vol.25 , Issue.23 , pp. 2897-2906
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 23
    • 0027555703 scopus 로고
    • Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method
    • Harrigan, T. P. and Hamilton, J. J. (1993) Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method. International Journal of Numerical Methods in Engineering 25, 837-854.
    • (1993) International Journal of Numerical Methods in Engineering , vol.25 , pp. 837-854
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 24
    • 0028315808 scopus 로고
    • Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling
    • Harrigan, T. P. and Hamilton, J. J. (1994a) Necessary and sufficient conditions for global stability and uniqueness in finite element simulations of adaptive bone remodeling. International Journal of Solids and Structures 31(1), 97-107.
    • (1994) International Journal of Solids and Structures , vol.31 , Issue.1 , pp. 97-107
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 25
    • 0028385288 scopus 로고
    • Bone remodeling and structural optimization
    • Harrigan, T. P. and Hamilton, J. J. (1994b) Bone remodeling and structural optimization. Journal of Biomechanics 27, 323-328.
    • (1994) Journal of Biomechanics , vol.27 , pp. 323-328
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 28
    • 0000528263 scopus 로고
    • A new method of structural shape optimization based on biological growth
    • Mattheck, C. and Burkhardt, S. (1990) A new method of structural shape optimization based on biological growth. International Journal of Fatigue 12, 185-190.
    • (1990) International Journal of Fatigue , vol.12 , pp. 185-190
    • Mattheck, C.1    Burkhardt, S.2
  • 30
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May, R. (1976) Simple mathematical models with very complicated dynamics. Nature 261, 459-467.
    • (1976) Nature , vol.261 , pp. 459-467
    • May, R.1
  • 33
    • 0041320341 scopus 로고
    • A non-linear self organisational approach to the solution of optimal structure topology
    • ed. May. R. World Scientific
    • Payten, W. M., Mercer, D. J. and Ben-Nissan, B. (1995) A non-linear self organisational approach to the solution of optimal structure topology. In Computational Techniques and Applications, ed. May. R. World Scientific.
    • (1995) Computational Techniques and Applications
    • Payten, W.M.1    Mercer, D.J.2    Ben-Nissan, B.3
  • 37
    • 0041477329 scopus 로고
    • Evolutionary optimization with FEA
    • Proceedings of the second Asian-Pacific Conference on Computational Mechanics, eds S. Valliappan et al. Sydney, N.S.W. Australia
    • Steven, G. P. and Xie, Y. M. (1993) Evolutionary optimization with FEA. In Computational mechanics: from concepts to computations. Proceedings of the second Asian-Pacific Conference on Computational Mechanics, eds S. Valliappan et al. Sydney, N.S.W. Australia.
    • (1993) Computational Mechanics: From Concepts to Computations
    • Steven, G.P.1    Xie, Y.M.2
  • 40
    • 0026970492 scopus 로고
    • The behaviour of adaptive bone-remodelling simulation models
    • Weinans, H., Huiskes, R. and Grootenboer, H. J. (1992) The behaviour of adaptive bone-remodelling simulation models. Journal of Biomechanics 25, 1425-1441.
    • (1992) Journal of Biomechanics , vol.25 , pp. 1425-1441
    • Weinans, H.1    Huiskes, R.2    Grootenboer, H.J.3
  • 41
    • 0027628259 scopus 로고
    • Adaptive bone remodelling around bonded noncemented total hip arthroplasty : A comparison between animal experiments and computer simulation
    • Weinans, H., Huiskes, R., van Rietbergen, B., Sumner, D. R., Turner, T. M. and Galante, J. O. (1993) Adaptive bone remodelling around bonded noncemented total hip arthroplasty : a comparison between animal experiments and computer simulation. Journal of Orthopaedic Research 11, 500-513.
    • (1993) Journal of Orthopaedic Research , vol.11 , pp. 500-513
    • Weinans, H.1    Huiskes, R.2    Van Rietbergen, B.3    Sumner, D.R.4    Turner, T.M.5    Galante, J.O.6
  • 42
    • 0028464084 scopus 로고
    • Optimal topology design using linear programming
    • Yang, R. J., Chuang, C. H. (1994) Optimal topology design using linear programming. Computers and Structures 52, 265-275.
    • (1994) Computers and Structures , vol.52 , pp. 265-275
    • Yang, R.J.1    Chuang, C.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.