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Volumn 172, Issue 1-4, 1999, Pages 241-271

Optimization methods applied to material and flextensional actuator design using the homogenization method

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE MATERIALS; COMPUTER SIMULATION; ELASTICITY; PIEZOELECTRIC MATERIALS; THERMOELASTICITY;

EID: 0032675038     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00231-X     Document Type: Article
Times cited : (58)

References (47)
  • 1
    • 0019216230 scopus 로고
    • Theory of variational inequalities with applications to problems of flow through porous media
    • [1] J.T, Oden and N. Kikuchi, Theory of variational inequalities with applications to problems of flow through porous media, Int. J. of Engrg. Sci. 18 (1980) 1173-1284.
    • (1980) Int. J. of Engrg. Sci. , vol.18 , pp. 1173-1284
    • Oden, J.T.1    Kikuchi, N.2
  • 2
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • [2] M.P. Bendsøe and N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Engrg. 71 (1988) 197-224.
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.71 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 3
    • 44949271438 scopus 로고
    • A homogenization method for shape and topology optimization
    • [3] K. Suzuki and N. Kikuchi, A homogenization method for shape and topology optimization, Comput. Methods Appl. Mech. Engrg. 93 (1991) 291-318.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 291-318
    • Suzuki, K.1    Kikuchi, N.2
  • 5
    • 0031121901 scopus 로고    scopus 로고
    • Optimal design of piezoelectric microstructures
    • [5] E.C.N. Silva, J.S.O. Fonseca and N. Kikuchi, Optimal design of piezoelectric microstructures, Comput. Mech. 19(5) (1997) 397-410.
    • (1997) Comput. Mech. , vol.19 , Issue.5 , pp. 397-410
    • Silva, E.C.N.1    Fonseca, J.S.O.2    Kikuchi, N.3
  • 7
    • 0032095452 scopus 로고    scopus 로고
    • Topology optimization of compliant mechanisms using the homogenization method
    • [7] S. Nishiwaki, M.I. Frecker, S. Min and N. Kikuchi, Topology optimization of compliant mechanisms using the homogenization method, Int. J. Numer. Methods Engrg. 42(3) (1998) 535-560.
    • (1998) Int. J. Numer. Methods Engrg. , vol.42 , Issue.3 , pp. 535-560
    • Nishiwaki, S.1    Frecker, M.I.2    Min, S.3    Kikuchi, N.4
  • 10
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • [10] M.P. Bendsøe, Optimal shape design as a material distribution problem, Struct. Optimiz. 1(11) (1989) 193-202.
    • (1989) Struct. Optimiz. , vol.1 , Issue.11 , pp. 193-202
    • Bendsøe, M.P.1
  • 11
    • 84987014302 scopus 로고
    • Solutions to shape and topology eigenvalue optimization problems using a homogenization method
    • [11] A. Díaz and N. Kikuchi, Solutions to shape and topology eigenvalue optimization problems using a homogenization method, Int. J. Numer. Methods Engrg. 35 (1992) 1487-1502.
    • (1992) Int. J. Numer. Methods Engrg. , vol.35 , pp. 1487-1502
    • Díaz, A.1    Kikuchi, N.2
  • 12
    • 0029272253 scopus 로고
    • Topological optimization technique for free vibration problems
    • [12] Z.-D. Ma, N. Kikuchi, H.C. Cheng and I. Hagiwara, Topological optimization technique for free vibration problems, ASME J. Appl. Mech. 62 (1995) 200-207.
    • (1995) ASME J. Appl. Mech. , vol.62 , pp. 200-207
    • Ma, Z.-D.1    Kikuchi, N.2    Cheng, H.C.3    Hagiwara, I.4
  • 14
    • 0028499421 scopus 로고
    • Materials with prescribed constitutive parameters: An inverse homogenization problem
    • [14] O. Sigmund, Materials with prescribed constitutive parameters: an inverse homogenization problem, Int. J. Solids and Struct. 31 (1994) 2313-2329.
    • (1994) Int. J. Solids and Struct. , vol.31 , pp. 2313-2329
    • Sigmund, O.1
  • 15
    • 0029325144 scopus 로고
    • Tailoring materials with prescribed elastic properties
    • [15] O. Sigmund, Tailoring materials with prescribed elastic properties, Mech. Mater. 20(4) (1995) 351-368.
    • (1995) Mech. Mater. , vol.20 , Issue.4 , pp. 351-368
    • Sigmund, O.1
  • 16
    • 0022211579 scopus 로고
    • An isotropic three-dimensional structure with Poisson ratio-1
    • [16] R.F. Almgreen, An isotropic three-dimensional structure with Poisson ratio-1, J. Elasticity 15 (1985) 427-430.
    • (1985) J. Elasticity , vol.15 , pp. 427-430
    • Almgreen, R.F.1
  • 17
    • 37049182280 scopus 로고
    • Foam structures with negative Poisson's ratio
    • [17] R. Lakes, Foam structures with negative Poisson's ratio, Science 235 (1987) 1038-1040.
    • (1987) Science , vol.235 , pp. 1038-1040
    • Lakes, R.1
  • 18
    • 0001371451 scopus 로고
    • Composite materials with Poisson's ratio close to -1
    • [18] G.W. Milton, Composite materials with Poisson's ratio close to -1, J. Mech. Phys. Solids 40 (1992) 1105-1137.
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1105-1137
    • Milton, G.W.1
  • 19
  • 20
    • 0007544668 scopus 로고
    • A variational approach of the theory of elastic behavior of multiphase materials
    • [20] Z. Hashin and S. Shtrikman, A variational approach of the theory of elastic behavior of multiphase materials, J. Mech. Phys. Solids 11 (1963) 127-140.
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 21
    • 0031169474 scopus 로고    scopus 로고
    • Design of materials with extreme thermal expansion using a three-phase topology optimization method
    • [21] O. Sigmund and S. Torquato, Design of materials with extreme thermal expansion using a three-phase topology optimization method, J. Mech. Phys. Solids 45(6) (1997) 1037-1067.
    • (1997) J. Mech. Phys. Solids , vol.45 , Issue.6 , pp. 1037-1067
    • Sigmund, O.1    Torquato, S.2
  • 22
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • [22] M.P. Bendsøe, Optimal shape design as a material distribution problem, Struct. Optimiz. 1 (1989) 192-202.
    • (1989) Struct. Optimiz. , vol.1 , pp. 192-202
    • Bendsøe, M.P.1
  • 23
    • 0026203039 scopus 로고
    • The COC algorithm, Part II: Topological, geometrical and generalized shape optimization
    • [23] M. Zhou and G.I.N. Rozvany, The COC algorithm, Part II: Topological, geometrical and generalized shape optimization, Comput. Methods Appl. Mech. Engrg. 89 (1991) 309-336.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.89 , pp. 309-336
    • Zhou, M.1    Rozvany, G.I.N.2
  • 27
    • 0001371485 scopus 로고
    • Homogenization and linear thermoelasticity
    • [27] G. Francfort, Homogenization and linear thermoelasticity, SIAM J. Math. Anal. 14 (1983) 696-708.
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 696-708
    • Francfort, G.1
  • 28
    • 0025505232 scopus 로고
    • Preprocessing and post processing for materials based on the homogenization method with adaptive finite element methods
    • [28] J.M. Guedes and N. Kikuchi, Preprocessing and post processing for materials based on the homogenization method with adaptive finite element methods, Comput. Methods Appl. Mech. Engrg. 83 (1990) 143-198.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.83 , pp. 143-198
    • Guedes, J.M.1    Kikuchi, N.2
  • 30
    • 0004208468 scopus 로고
    • A sparse linear programming subprogram
    • Sandia National Laboratories
    • [30] R.J. Hanson and K.L. Hiebert, A sparse linear programming subprogram, Report SAND81-0297, Sandia National Laboratories, 1981.
    • (1981) Report SAND81-0297
    • Hanson, R.J.1    Hiebert, K.L.2
  • 31
    • 0002621815 scopus 로고
    • Topology and generalized layout optimization of elastic structures
    • M.P, Bendsøe and C.A. Mota Soares, eds., Kluwer, Dordrecht
    • [31] M.P. Bendsøe, A.R. Díaz and N. Kikuchi, Topology and generalized layout optimization of elastic structures, in: M.P, Bendsøe and C.A. Mota Soares, eds., Topology Optimization of Structures (Kluwer, Dordrecht, 1993) 159-206.
    • (1993) Topology Optimization of Structures , pp. 159-206
    • Bendsøe, M.P.1    Díaz, A.R.2    Kikuchi, N.3
  • 32
    • 0029356773 scopus 로고
    • Checkerboard patterns in layout optimization
    • [32] A.R. Díaz and O. Sigmund, Checkerboard patterns in layout optimization, Struct. Optimiz. 10(1) (1995) 40-45.
    • (1995) Struct. Optimiz. , vol.10 , Issue.1 , pp. 40-45
    • Díaz, A.R.1    Sigmund, O.2
  • 33
    • 0028698058 scopus 로고
    • An analytical model to predict optimal material properties in the context of optimal structural design
    • [33] M.P. Bendsøe, J.M. Guedes, R.B. Haber, P. Pedersen and J.E. Taylor, An analytical model to predict optimal material properties in the context of optimal structural design, J. Appl. Mech. 61 (1994) 930-937.
    • (1994) J. Appl. Mech. , vol.61 , pp. 930-937
    • Bendsøe, M.P.1    Guedes, J.M.2    Haber, R.B.3    Pedersen, P.4    Taylor, J.E.5
  • 36
    • 84973893076 scopus 로고
    • Optimizing electromechanical coupling in piezocomposites using polymers with negative Poisson's ratio
    • [36] W.A. Smith, Optimizing electromechanical coupling in piezocomposites using polymers with negative Poisson's ratio, IEEE 1991 Ultrasonics Symp. Proc. 1 (1991) 661-666.
    • (1991) IEEE 1991 Ultrasonics Symp. Proc. , vol.1 , pp. 661-666
    • Smith, W.A.1
  • 37
    • 0028732254 scopus 로고
    • The role of matrix porosity and Poisson's ratio in the design of high-sensitivity piezocomposite transducers, adaptive structures and composite materials: Analysis and application
    • [37] M. Avellaneda and P.J. Swart, The role of matrix porosity and Poisson's ratio in the design of high-sensitivity piezocomposite transducers, adaptive structures and composite materials: analysis and application, ASME Aerospace Division AD 45 (1994) 59-66.
    • (1994) ASME Aerospace Division AD , vol.45 , pp. 59-66
    • Avellaneda, M.1    Swart, P.J.2
  • 38
    • 0031139852 scopus 로고    scopus 로고
    • On the use of homogenization theory to optimally design piezocomposites for hydrophone applications
    • [38] L.V. Gibiansky and S. Torquato, On the use of homogenization theory to optimally design piezocomposites for hydrophone applications, J. Mech. Phys. Solids 45(5) (1997) 689-708.
    • (1997) J. Mech. Phys. Solids , vol.45 , Issue.5 , pp. 689-708
    • Gibiansky, L.V.1    Torquato, S.2
  • 39
    • 0040466190 scopus 로고
    • Limits to the enhancement of piezoelectric transducers achievable by materials engineering
    • [39] W.A. Smith, Limits to the enhancement of piezoelectric transducers achievable by materials engineering, IEEE 1992 Ultrasonics Symp. Proc. 1 (1992) 697-702.
    • (1992) IEEE 1992 Ultrasonics Symp. Proc. , vol.1 , pp. 697-702
    • Smith, W.A.1
  • 41
    • 0000021835 scopus 로고
    • Piezoelectricity and homogenization: Application to biomechanics
    • G.A. Maugin, ed., Longman, London
    • [41] J.J. Telega, Piezoelectricity and homogenization: application to biomechanics, in: G.A. Maugin, ed., Continuum Models and Discrete Systems No. 2 (Longman, London, 1990) 220-230.
    • (1990) Continuum Models and Discrete Systems , vol.2 , pp. 220-230
    • Telega, J.J.1
  • 42
    • 0001311806 scopus 로고
    • Homogenization and thermopiezoelectricity
    • [42] A. Galka, J.J. Telega and R. Wojnar, Homogenization and thermopiezoelectricity, Mech. Res. Comm. 19(4) (1992) 315-324.
    • (1992) Mech. Res. Comm. , vol.19 , Issue.4 , pp. 315-324
    • Galka, A.1    Telega, J.J.2    Wojnar, R.3
  • 44
    • 0028729495 scopus 로고
    • The effect of geometry on the characteristics of the Moonie transducer and reliability issue
    • [44] A. Dogan, S. Yoshikawa, K. Uchino and R.E. Newnham, The effect of geometry on the characteristics of the Moonie transducer and reliability issue, IEEE 1994 Ultrasonic Symp. Proc. (1994) 935-939.
    • (1994) IEEE 1994 Ultrasonic Symp. Proc. , pp. 935-939
    • Dogan, A.1    Yoshikawa, S.2    Uchino, K.3    Newnham, R.E.4
  • 47
    • 0000604772 scopus 로고
    • On optimal orientation of orthotropic materials
    • [47] P. Pedersen, On optimal orientation of orthotropic materials, Struct. Optim. 1 (1989) 101-106.
    • (1989) Struct. Optim. , vol.1 , pp. 101-106
    • Pedersen, P.1


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