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Volumn 41, Issue 4, 2009, Pages 448-455

The proofs of the optimal bounds for mixtures of two anisotropic conducting materials in two dimensions

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY;

EID: 62649116381     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2009.01.020     Document Type: Article
Times cited : (5)

References (16)
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    • Optimal bounds for conduction in two-dimensional, multiphase, polycrystalline media
    • Francfort G.A., and Milton G.W. Optimal bounds for conduction in two-dimensional, multiphase, polycrystalline media. J. Stat. Phys. 46 1-2 (1987) 161-177
    • (1987) J. Stat. Phys. , vol.46 , Issue.1-2 , pp. 161-177
    • Francfort, G.A.1    Milton, G.W.2
  • 5
    • 0011255133 scopus 로고
    • Optimal bounds for conduction in two-dimensional, two-phase, anisotropic media
    • Knops, R.J, Lacey, A.A, Eds, Nonclassical Continuum Mechanics Durham, Cambridge University Press, Cambridge, pp
    • Francfort, G.A., Murat, F., 1987. Optimal bounds for conduction in two-dimensional, two-phase, anisotropic media. In: Knops, R.J., Lacey, A.A., (Eds.), Nonclassical Continuum Mechanics (Durham, 1986), London Mathematical Society Lecture Note Series, vol. 122, Cambridge University Press, Cambridge, pp. 197-212.
    • (1986) London Mathematical Society Lecture Note Series , vol.122 , pp. 197-212
    • Francfort, G.A.1    Murat, F.2
  • 6
    • 0021374003 scopus 로고
    • G-closure of a set of anisotropically conducting media in the two-dimensional case
    • Lurie K.A., and Cherkaev A.V. G-closure of a set of anisotropically conducting media in the two-dimensional case. J. Optim. Theory Appl. 42 2 (1984) 283-304
    • (1984) J. Optim. Theory Appl. , vol.42 , Issue.2 , pp. 283-304
    • Lurie, K.A.1    Cherkaev, A.V.2
  • 7
    • 62649175951 scopus 로고    scopus 로고
    • Lurie, K.A., Cherkaev, A.V., 1987. Errata corrigendum on G-closure: G-closure of a set of anisotropically conducting media in the two-dimensional case. J. Optim. Theory Appl. 42(2):283-304,1984 and G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates. J. Optim. Theory Appl. 42(2):305-316, 1984. J. Optim. Theory Appl. 53(2), 319-327.
    • Lurie, K.A., Cherkaev, A.V., 1987. Errata corrigendum on G-closure: G-closure of a set of anisotropically conducting media in the two-dimensional case. J. Optim. Theory Appl. 42(2):283-304,1984 and G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates. J. Optim. Theory Appl. 42(2):305-316, 1984. J. Optim. Theory Appl. 53(2), 319-327.
  • 8
    • 0005945571 scopus 로고
    • Classical Hall effect in two-dimensional composites: a characterization of the set of realizable effective conductivity tensors
    • Milton G.W. Classical Hall effect in two-dimensional composites: a characterization of the set of realizable effective conductivity tensors. Phys. Rev. B 38 16 (1988) 11296-11303
    • (1988) Phys. Rev. B , vol.38 , Issue.16 , pp. 11296-11303
    • Milton, G.W.1
  • 11
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    • H-convergence
    • Topics in the Mathematical Modelling of Composite Materials. (English translation of Murat (1977)). Cherkaev A., and Kohn R.V. (Eds), Birkhäuser, Boston, MA (Chapter 3)
    • Murat F., and Tartar L. H-convergence. (English translation of Murat (1977)). In: Cherkaev A., and Kohn R.V. (Eds). Topics in the Mathematical Modelling of Composite Materials. Progress in Nonlinear Differential Equations and their Applications vol. 31 (1997), Birkhäuser, Boston, MA 21-44 (Chapter 3)
    • (1997) Progress in Nonlinear Differential Equations and their Applications , vol.31 , pp. 21-44
    • Murat, F.1    Tartar, L.2
  • 12
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    • Quasiconformal mappings as a tool to study certain two-dimensional G-closure problems
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    • Tartar, L., 1979. Compensated compactness and applications to partial differential equations. In: Knops, R.J. (Ed.), Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, IV, Research Notes in Mathematics, 39, Pitman, Boston, MA, pp. 136-212.
    • Tartar, L., 1979. Compensated compactness and applications to partial differential equations. In: Knops, R.J. (Ed.), Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, vol. IV, Research Notes in Mathematics, vol. 39, Pitman, Boston, MA, pp. 136-212.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.