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Volumn 45, Issue 6, 1997, Pages 1037-1067

Design of materials with extreme thermal expansion using a three-phase topology optimization method

Author keywords

A. microstructures; A. thermomechanical processes; B. constitutive behavior; C. numerical algorithms; C. optimization

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; LINEAR PROGRAMMING; MICROSTRUCTURE; OPTIMIZATION; THERMAL EXPANSION; THERMOELASTICITY; TOPOLOGY; VOLUME FRACTION;

EID: 0031169474     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(96)00114-7     Document Type: Article
Times cited : (889)

References (51)
  • 2
    • 5644280870 scopus 로고
    • Systematic creation of composites with prescribed thermomechanical properties
    • Autio, M., Laitinen, M. and Pramila, A. (1993) Systematic creation of composites with prescribed thermomechanical properties. Computational Engineering 3, 249-259.
    • (1993) Computational Engineering , vol.3 , pp. 249-259
    • Autio, M.1    Laitinen, M.2    Pramila, A.3
  • 3
    • 0027685042 scopus 로고
    • Crystalline networks with unusual predicted mechanical and thermal properties
    • Baughman, R. H. and Galvão, D. S. (1993) Crystalline networks with unusual predicted mechanical and thermal properties. Nature 365, 735-737.
    • (1993) Nature , vol.365 , pp. 735-737
    • Baughman, R.H.1    Galvão, D.S.2
  • 7
    • 0005225771 scopus 로고
    • Numerical experiments of the homogenization method for operators with periodic coefficients
    • Springer Verlag, Berlin
    • Bourgat, J. F. (1977) Numerical experiments of the homogenization method for operators with periodic coefficients. In Lecture Notes in Mathematics, pp. 330-356. Springer Verlag, Berlin.
    • (1977) Lecture Notes in Mathematics , pp. 330-356
    • Bourgat, J.F.1
  • 9
    • 0029275408 scopus 로고
    • Linear-quadratic-gaussian-based controller design for Hubble space telescope
    • Collins, E. G. and Richter, S. (1995) Linear-quadratic-gaussian-based controller design for Hubble space telescope. Journal of Guidance, Control, and Dynamics 18, 208-213.
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , pp. 208-213
    • Collins, E.G.1    Richter, S.2
  • 11
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • Diaz, A. R. and Sigmund, O. (1995) Checkerboard patterns in layout optimization. Structural Optimization 10, 40-45.
    • (1995) Structural Optimization , vol.10 , pp. 40-45
    • Diaz, A.R.1    Sigmund, O.2
  • 14
    • 0029322810 scopus 로고
    • Microstructures minimizing the energy of a two phase elastic composite in two dimensions. I: The confocal ellipse construction
    • Grabovsky, Y. and Kohn, R. V. (1995a) Microstructures minimizing the energy of a two phase elastic composite in two dimensions. I: The confocal ellipse construction. Journal of the Mechanics and Physics of Solids 43, 933-947.
    • (1995) Journal of the Mechanics and Physics of Solids , vol.43 , pp. 933-947
    • Grabovsky, Y.1    Kohn, R.V.2
  • 15
    • 0029326671 scopus 로고
    • Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II : The Vigdergauz microstructure
    • Grabovsky, Y. and Kohn, R. V. (1995b) Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II : The Vigdergauz microstructure. Journal of the Mechanics and Physics of Solids 43, 949-972.
    • (1995) Journal of the Mechanics and Physics of Solids , vol.43 , pp. 949-972
    • Grabovsky, Y.1    Kohn, R.V.2
  • 16
    • 0025505232 scopus 로고
    • Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
    • Guedes, J. M. and Kikuchi, N. (1991) Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Computer Methods in Applied Mechanical Engineering 83, 143-198.
    • (1991) Computer Methods in Applied Mechanical Engineering , vol.83 , pp. 143-198
    • Guedes, J.M.1    Kikuchi, N.2
  • 17
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape optimization using a constraint on perimeter
    • Haber, R. B., Jog, C. and Bendsøe, M. P. (1996) A new approach to variable-topology shape optimization using a constraint on perimeter. Structural Optimization 11, 1-12.
    • (1996) Structural Optimization , vol.11 , pp. 1-12
    • Haber, R.B.1    Jog, C.2    Bendsøe, M.P.3
  • 19
    • 0004208468 scopus 로고
    • A sparse linear programming subprogram
    • Sandia National Laboratories
    • Hanson, R. J. and Hiebert, K. L. (1981) A sparse linear programming subprogram. Technical Report SANDS 1-0297, Sandia National Laboratories.
    • (1981) Technical Report Sands 1-0297
    • Hanson, R.J.1    Hiebert, K.L.2
  • 20
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behaviour of multiphase materials
    • March-April
    • Hashin, Z. and Shtrikman, S. (1963) A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids, March-April, 127-140.
    • (1963) Journal of the Mechanics and Physics of Solids , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 21
    • 0024750761 scopus 로고
    • Influence of thermomechanical treatment on the expansion behavior of invar and superinvar
    • Hausch, G., Bächer, R. and Hartmann, J. (1989) Influence of thermomechanical treatment on the expansion behavior of invar and superinvar. Physica B 161, 22-24.
    • (1989) Physica B , vol.161 , pp. 22-24
    • Hausch, G.1    Bächer, R.2    Hartmann, J.3
  • 22
    • 85075873384 scopus 로고
    • Digital image based finite element analysis for bone microstructure using conjugate gradient and gaussian filter techniques
    • Hollister, S. R. and Riemer, B. A. (1992) Digital image based finite element analysis for bone microstructure using conjugate gradient and Gaussian filter techniques. In SPIE, Volume 2035 Mathematical Methods in Medical Imaging II, pp. 95-106.
    • (1992) SPIE, Volume 2035 Mathematical Methods in Medical Imaging II , vol.2035 , pp. 95-106
    • Hollister, S.R.1    Riemer, B.A.2
  • 24
    • 0030123599 scopus 로고    scopus 로고
    • Stability of finite element models for distributed-parameter optimization and topology design
    • Jog, C. S. and Haber, R. B. (1996) Stability of finite element models for distributed-parameter optimization and topology design. Computer Methods in Applied Mechanics and Engineering 130, 203-226.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.130 , pp. 203-226
    • Jog, C.S.1    Haber, R.B.2
  • 25
    • 0027542726 scopus 로고
    • Compression effect on specific heat and thermal expansion of Si and Ge
    • Kagaya, H.-M. and Soma, T. (1993) Compression effect on specific heat and thermal expansion of Si and Ge. Solid State Communications 85, 617-621.
    • (1993) Solid State Communications , vol.85 , pp. 617-621
    • Kagaya, H.-M.1    Soma, T.2
  • 27
    • 37049182280 scopus 로고
    • Foam structures with negative Poisson's ratio
    • Lakes, R. (1987) Foam structures with negative Poisson's ratio. Science 235, 1038.
    • (1987) Science , vol.235 , pp. 1038
    • Lakes, R.1
  • 28
    • 10644284474 scopus 로고
    • Materials with structural hierarchy, review article
    • Lakes, R. (1993) Materials with structural hierarchy, review article. Nature 361, 511-515.
    • (1993) Nature , vol.361 , pp. 511-515
    • Lakes, R.1
  • 29
    • 0031169571 scopus 로고    scopus 로고
    • Design and fabrication of compliant mechanisms and material structures with negative Poisson's ratio
    • to appear
    • Larsen, U. D., Sigmund, O. and Bouwstra, S. (1997) Design and fabrication of compliant mechanisms and material structures with negative Poisson's ratio. Journal of Microelectromechanical Systems, to appear.
    • (1997) Journal of Microelectromechanical Systems
    • Larsen, U.D.1    Sigmund, O.2    Bouwstra, S.3
  • 30
    • 0003259901 scopus 로고
    • Thermal expansion coefficients of heterogeneous materials
    • Levin, V. M. (1967) Thermal expansion coefficients of heterogeneous materials. Mekhanika Tverdoga Tela 2, 88-94.
    • (1967) Mekhanika Tverdoga Tela , vol.2 , pp. 88-94
    • Levin, V.M.1
  • 33
    • 0028533399 scopus 로고
    • A physiological approach to the simulation of bone remodelling as a self-organizational control process
    • Mullender, M. G., Huiskes, R. and Weihnans, H. (1994) A physiological approach to the simulation of bone remodelling as a self-organizational control process. Journal of Biomechanics 11, 1389-1394.
    • (1994) Journal of Biomechanics , vol.11 , pp. 1389-1394
    • Mullender, M.G.1    Huiskes, R.2    Weihnans, H.3
  • 38
    • 0014735918 scopus 로고
    • Effective thermal expansion and specific heat of composite materials
    • Rosen, B. W. and Hashin, Z. (1970) Effective thermal expansion and specific heat of composite materials. International Journal of Engineering Science 8, 157-173.
    • (1970) International Journal of Engineering Science , vol.8 , pp. 157-173
    • Rosen, B.W.1    Hashin, Z.2
  • 39
    • 0002004858 scopus 로고
    • Topology optimization using iterative continuum type optimality criteria (COC) methods for discretized systems
    • ed. M. P. Bendsøe and C. A. Soares, Springer
    • Rozvany, G. I. N., Zhou, M., Birker, T. and Sigmund, O. (1992) Topology optimization using iterative continuum type optimality criteria (COC) methods for discretized systems. In Topology Design of Structures, ed. M. P. Bendsøe and C. A. Soares, pp. 273-286. Springer.
    • (1992) Topology Design of Structures , pp. 273-286
    • Rozvany, G.I.N.1    Zhou, M.2    Birker, T.3    Sigmund, O.4
  • 40
    • 0003489725 scopus 로고
    • Non-homogeneous media and vibration theory
    • Springer Verlag, Berlin
    • Sanchez-Palencia, E. (1980) Non-homogeneous media and vibration theory. In Lecture Notes in Physics. Springer Verlag, Berlin.
    • (1980) Lecture Notes in Physics
    • Sanchez-Palencia, E.1
  • 41
    • 84964172898 scopus 로고
    • Thermal expansion coefficients of composite materials based on energy principles
    • Schapery, R. A. (1968) Thermal expansion coefficients of composite materials based on energy principles. Journal of Composite Materials 2, 380-404.
    • (1968) Journal of Composite Materials , vol.2 , pp. 380-404
    • Schapery, R.A.1
  • 42
    • 0001847389 scopus 로고
    • Numerical comparison of non-linear programming algorithms for structural optimization
    • Schittkowski, K. (1994) Numerical comparison of non-linear programming algorithms for structural optimization. Structural Optimization 7, 1-19.
    • (1994) Structural Optimization , vol.7 , pp. 1-19
    • Schittkowski, K.1
  • 45
    • 0028499421 scopus 로고
    • Materials with prescribed constitutive parameters: An inverse homogenization problem
    • Sigmund, O. (1994b) Materials with prescribed constitutive parameters: an inverse homogenization problem. International Journal of Solids and Structures 31, 2313-2329.
    • (1994) International Journal of Solids and Structures , vol.31 , pp. 2313-2329
    • Sigmund, O.1
  • 46
    • 0029325144 scopus 로고
    • Tailoring materials with prescribed elastic properties
    • Sigmund, O. (1995) Tailoring materials with prescribed elastic properties. Mechanics of Materials 20, 351-368.
    • (1995) Mechanics of Materials , vol.20 , pp. 351-368
    • Sigmund, O.1
  • 48
    • 0002113870 scopus 로고
    • Regular structures with extremal elastic properties
    • Vigdergauz, S. B. (1989) Regular structures with extremal elastic properties. Mechanics of Solids 24, 57-63.
    • (1989) Mechanics of Solids , vol.24 , pp. 57-63
    • Vigdergauz, S.B.1
  • 49
    • 0028430157 scopus 로고
    • Three-dimensional grained composites of extreme thermal properties
    • Vigdergauz, S. B. (1994) Three-dimensional grained composites of extreme thermal properties. Journal of the Mechanics and Physics of Solids 42, 729-740.
    • (1994) Journal of the Mechanics and Physics of Solids , vol.42 , pp. 729-740
    • Vigdergauz, S.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.