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Volumn 58, Issue 1, 2005, Pages 83-106

Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ELECTRIC CONDUCTIVITY; MATHEMATICAL MODELS; THERMAL CONDUCTIVITY;

EID: 19344362712     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmamj/hbh022     Document Type: Article
Times cited : (24)

References (23)
  • 1
    • 0038651717 scopus 로고    scopus 로고
    • Network approximation in the limit of small interparticle distance of the effective properties of a high contrast random dispersed composite
    • L. Berlyand and A. Kolpakov, Network approximation in the limit of small interparticle distance of the effective properties of a high contrast random dispersed composite, Arch. Rat. Math. Anal. 159 (2001) 179-227.
    • (2001) Arch. Rat. Math. Anal. , vol.159 , pp. 179-227
    • Berlyand, L.1    Kolpakov, A.2
  • 2
    • 36849139969 scopus 로고
    • Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders
    • J. B. Keller, Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders, J. Appl. Phys. 34 (1963) 991-993.
    • (1963) J. Appl. Phys. , vol.34 , pp. 991-993
    • Keller, J.B.1
  • 3
    • 0037239515 scopus 로고    scopus 로고
    • Error of the network approximation for densely packed composites with irregular geometry
    • L. Berlyand and A. Novikov, Error of the network approximation for densely packed composites with irregular geometry, SIAM J. Math. Anal. 34 (2002) 395-408.
    • (2002) SIAM J. Math. Anal. , vol.34 , pp. 395-408
    • Berlyand, L.1    Novikov, A.2
  • 4
    • 0029326671 scopus 로고
    • Microstructure minimizing the energy of a two phase elastic composite in two space dimensions, II: The Vigdergauz microstructure
    • Y. Grabovsky and R. V. Kohn, Microstructure minimizing the energy of a two phase elastic composite in two space dimensions, II: the Vigdergauz microstructure, J. Mech. Phys. Solids 43 (1995) 949-972.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 949-972
    • Grabovsky, Y.1    Kohn, R.V.2
  • 5
    • 1142296301 scopus 로고    scopus 로고
    • Bounds and extremal for two-component composites: United treatment based on the translation method
    • Y. Grabovsky and R. V. Kohn, Bounds and extremal for two-component composites: united treatment based on the translation method, Proc. Math. Phys. Eng. Sci. 452 (1996) 919-944.
    • (1996) Proc. Math. Phys. Eng. Sci. , vol.452 , pp. 919-944
    • Grabovsky, Y.1    Kohn, R.V.2
  • 6
    • 0022865342 scopus 로고
    • Effective elastic parameters of a plate with a regular system of equal-strength holes
    • S. B. Vigdergauz, Effective elastic parameters of a plate with a regular system of equal-strength holes, Inzhenernyi Zhurnal. Mekhanika Tverdogo Tela: MMT 21 (1986) 165-169.
    • (1986) Inzhenernyi Zhurnal. Mekhanika Tverdogo Tela: MMT , vol.21 , pp. 165-169
    • Vigdergauz, S.B.1
  • 7
    • 0028442806 scopus 로고
    • Two-dimensional grained composites of extreme rigity
    • S. B. Vigdergauz, Two-dimensional grained composites of extreme rigity, J. Appl. Math. 61 (1994) 390-394.
    • (1994) J. Appl. Math. , vol.61 , pp. 390-394
    • Vigdergauz, S.B.1
  • 9
    • 0032046983 scopus 로고    scopus 로고
    • Network approximation for transport properties of high contrast materials
    • L. Borcea and G. Papanicolaou, Network approximation for transport properties of high contrast materials, SIAM J. Appl. Math. 58 (1998) 501-539.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 501-539
    • Borcea, L.1    Papanicolaou, G.2
  • 10
    • 84956096809 scopus 로고
    • Geometric aspects of averaging
    • S. M. Kozlov, Geometric aspects of averaging, Russian Math. Surveys 44 (1989) 91-144.
    • (1989) Russian Math. Surveys , vol.44 , pp. 91-144
    • Kozlov, S.M.1
  • 11
  • 16
    • 0000219939 scopus 로고
    • Theorem on the conductivity of a composite medium
    • J. B. Keller, Theorem on the conductivity of a composite medium, J. Math. Phys. 5 (1964) 548-549.
    • (1964) J. Math. Phys. , vol.5 , pp. 548-549
    • Keller, J.B.1
  • 17
    • 0002290665 scopus 로고
    • Conductivity of a two-dimensional two-phase system
    • A. M. Dykhne, Conductivity of a two-dimensional two-phase system, JETP 32 (1971) 63-65.
    • (1971) JETP , vol.32 , pp. 63-65
    • Dykhne, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.