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Volumn 159, Issue 3, 2001, Pages 179-227

Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite

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EID: 0038651717     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050100142     Document Type: Article
Times cited : (73)

References (44)
  • 1
    • 35949029410 scopus 로고
    • Hopping conductivity in disordered systems
    • V. AMBEGAOKAR, B. I. HALPERIN & J. S. LANGER, Hopping conductivity in disordered systems, Phys. Rev. B 4, 2612-2620 (1971).
    • (1971) Phys. Rev. B , vol.4 , pp. 2612-2620
    • Ambegaokar, V.1    Halperin, B.I.2    Langer, J.S.3
  • 5
    • 0039719448 scopus 로고
    • An average description of an elastic medium with a large number of small absolutely by rigid inclusions
    • L. V. BERLYAND & A. D. OKHOTSIMSKII, An average description of an elastic medium with a large number of small absolutely by rigid inclusions. Soviet Phys. Dokl. 28, 81-84 (1983).
    • (1983) Soviet Phys. Dokl. , vol.28 , pp. 81-84
    • Berlyand, L.V.1    Okhotsimskii, A.D.2
  • 6
    • 0035530273 scopus 로고    scopus 로고
    • Generalized Clausius-Mossotti formula for random composite with circular fibers
    • L. V. BERLYAND & V. MITYUSHEV, Generalized Clausius-Mossotti Formula for Random Composite with Circular Fibers, J. Stat. Phys. 102, 115-145 (2001).
    • (2001) J. Stat. Phys. , vol.102 , pp. 115-145
    • Berlyand, L.V.1    Mityushev, V.2
  • 9
    • 0032046983 scopus 로고    scopus 로고
    • Network approximation for transport properties of high contrast materials
    • L. BORCEA, & G. PAPANICOLAOU, Network approximation for transport properties of high contrast materials. SIAM J. Appl. Math. 58, 501-539 (1998).
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 501-539
    • Borcea, L.1    Papanicolaou, G.2
  • 10
    • 0004106937 scopus 로고
    • Springer-Verlag, Berlin
    • W. F. BROWN, Dielectrics, Springer-Verlag, Berlin (1956).
    • (1956) Dielectrics
    • Brown, W.F.1
  • 11
    • 0001543162 scopus 로고
    • The effective conductivity of strongly heterogeneous composites
    • O. BRUNO, The effective conductivity of strongly heterogeneous composites. Proc. Royal Soc. London A 433, 353-381 (1991).
    • (1991) Proc. Royal Soc. London A , vol.433 , pp. 353-381
    • Bruno, O.1
  • 12
    • 0000285027 scopus 로고
    • The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models
    • J. P. CLERC, G. GIRAUD, J. M. LAUGIER & J. M. LUCK, The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models, Advance in Physics 39, 191-309 (1990).
    • (1990) Advance in Physics , vol.39 , pp. 191-309
    • Clerc, J.P.1    Giraud, G.2    Laugier, J.M.3    Luck, J.M.4
  • 13
    • 0002290665 scopus 로고
    • Conductivity of two dimensional two-phase system
    • A. DYKNE, Conductivity of two dimensional two-phase system. JETP, 32, 63-65 (1971).
    • (1971) JETP , vol.32 , pp. 63-65
    • Dykne, A.1
  • 15
    • 0032002322 scopus 로고    scopus 로고
    • A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders
    • H. CHENG & L. GREENGARD, A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders. SIAM J. Appl. Math. 50, 122-141 (1998).
    • (1998) SIAM J. Appl. Math. , vol.50 , pp. 122-141
    • Cheng, H.1    Greengard, L.2
  • 16
    • 0007437834 scopus 로고    scopus 로고
    • Percolation models for porous media
    • U. HORNUNG, ed., Springer Verlag
    • K. M. GOLDEN, Percolation models for porous media, in Homogenization and porous medium, U. HORNUNG, ed., Springer Verlag (1997).
    • (1997) Homogenization and Porous Medium
    • Golden, K.M.1
  • 17
    • 0024736296 scopus 로고
    • Remarks on percolation and transport in networks with a wide range of bond strengths
    • B. I. HALPERIN, Remarks on percolation and transport in networks with a wide range of bond strengths, Physica D 38, 179-183 (1989) .
    • (1989) Physica D , vol.38 , pp. 179-183
    • Halperin, B.I.1
  • 18
    • 0040311314 scopus 로고    scopus 로고
    • Characterization of thermally conductive epoxy composite fillers
    • at the Surface Mount Technology Association Symp. held at Research Triangle Park, NC, November
    • R. HILL, Characterization of thermally conductive epoxy composite fillers. Proc. Thechnicla Programm "Emerging Packing Technology", at the Surface Mount Technology Association Symp. held at Research Triangle Park, NC, November, 18-21, 125-131 (1996).
    • (1996) Proc. Thechnicla Programm "Emerging Packing Technology" , vol.18-21 , pp. 125-131
    • Hill, R.1
  • 20
    • 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, 991-993 (1963).
    • (1963) J. Appl. Phys. , vol.34 , pp. 991-993
    • Keller, J.B.1
  • 22
    • 0020138618 scopus 로고
    • Creeping flow in two-dimensional networks
    • J. KOPLIK, Creeping flow in two-dimensional networks. J. Fluid Mech. 119, 219-247 (1982).
    • (1982) J. Fluid Mech. , vol.119 , pp. 219-247
    • Koplik, J.1
  • 23
    • 0007120846 scopus 로고
    • Averaging of random operators
    • S. M. KOZLOV, Averaging of random operators. Matem. Sbornik, 109, 188-203 (1979) (English Transl.: Math. USSR, Sb. 37, 167-180 (1980)).
    • (1979) Matem. Sbornik , vol.109 , pp. 188-203
    • Kozlov, S.M.1
  • 24
    • 0000254912 scopus 로고
    • S. M. KOZLOV, Averaging of random operators. Matem. Sbornik, 109, 188-203 (1979) (English Transl.: Math. USSR, Sb. 37, 167-180 (1980)).
    • (1980) Math. USSR, Sb. , vol.37 , pp. 167-180
  • 25
    • 84956096809 scopus 로고
    • Geometrical aspects of averaging
    • S. M. KOZLOV, Geometrical aspects of averaging, Russ. Math. Surveys 44 91-144 (1989).
    • (1989) Russ. Math. Surveys , vol.44 , pp. 91-144
    • Kozlov, S.M.1
  • 26
    • 0037501593 scopus 로고
    • VEB Fachbuchverlag, Leipzig
    • H. KUCHLING, Physics, VEB Fachbuchverlag, Leipzig (1980).
    • (1980) Physics
    • Kuchling, H.1
  • 29
  • 30
    • 0023045044 scopus 로고
    • Transport property of cylinder pairs of the square array of cylinders
    • R. MCPHEDRAN, Transport property of cylinder pairs of the square array of cylinders, Proc. R. Soc. London AA 408, 31-43 (1986).
    • (1986) Proc. R. Soc. London , vol.AA 408 , pp. 31-43
    • McPhedran, R.1
  • 31
    • 0000290944 scopus 로고
    • Asymptotic studies of closely spaced, highly conducting cylinders
    • R. MCPHEDRAN, L. POLADIAN & G. W. MILTON, Asymptotic studies of closely spaced, highly conducting cylinders, Proc. R. Soc. Lond. A 415, 185-196 (1988).
    • (1988) Proc. R. Soc. Lond. A , vol.415 , pp. 185-196
    • McPhedran, R.1    Poladian, L.2    Milton, G.W.3
  • 32
    • 0023648113 scopus 로고
    • Transport properties of touching cylinder pairs and of the square array of touching cylinders
    • R. MCPHEDRAN & G. W. MILTON, Transport properties of touching cylinder pairs and of the square array of touching cylinders, Proc. R. Soc. London A 411, 313-326 (1987).
    • (1987) Proc. R. Soc. London A , vol.411 , pp. 313-326
    • McPhedran, R.1    Milton, G.W.2
  • 35
    • 0001689286 scopus 로고
    • Boundary value problems with rapidly oscillating random coefficients
    • Radon Fields, Esztergom (Hungary)
    • G. PAPANICOLAOU, & S. VARADHAN, Boundary value problems with rapidly oscillating random coefficients, Colloquia Mathematica Societatis Janos Bolyai 27, Radon Fields, Esztergom (Hungary), 1979, 835-873.
    • (1979) Colloquia Mathematica Societatis Janos Bolyai , vol.27 , pp. 835-873
    • Papanicolaou, G.1    Varadhan, S.2
  • 36
    • 0012743610 scopus 로고
    • Biased-diffusion calculations of effective transport in inhomogeneous continuum systems
    • L. M. SCHAWARTZ, J. R. BANAVAR & B. I. HALPERIN, Biased-diffusion calculations of effective transport in inhomogeneous continuum systems, Physical Review B 40, 9155-9161 (1989).
    • (1989) Physical Review B , vol.40 , pp. 9155-9161
    • Schawartz, L.M.1    Banavar, J.R.2    Halperin, B.I.3
  • 37
    • 0029671678 scopus 로고    scopus 로고
    • The permiability of strongly-disordered systems
    • C. B. SHAH, & Y. C. YORTSOS, The permiability of strongly-disordered systems, Physics of Fluids 8,280-282 (1996)
    • (1996) Physics of Fluids , vol.8 , pp. 280-282
    • Shah, C.B.1    Yortsos, Y.C.2
  • 41
    • 0000315133 scopus 로고
    • Bounds on the effective properties of polydispersed suspensions of spheres. An evaluation of two relevant morphological parameters
    • J. F. THOVERT, I. C. KIM, S. TORQUATO, & A. ACRIVO, Bounds on the effective properties of polydispersed suspensions of spheres. An evaluation of two relevant morphological parameters, J. Appl. Phys. 67, 6088-6098 (1990).
    • (1990) J. Appl. Phys. , vol.67 , pp. 6088-6098
    • Thovert, J.F.1    Kim, I.C.2    Torquato, S.3    Acrivo, A.4
  • 43
    • 0034413375 scopus 로고    scopus 로고
    • Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
    • Y. Y. LI & M. VOGELIUS, Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients, Arch. Rational Mech. and Anal. 153, 91-151 (2000).
    • (2000) Arch. Rational Mech. and Anal. , vol.153 , pp. 91-151
    • Li, Y.Y.1    Vogelius, M.2
  • 44
    • 0022147671 scopus 로고
    • Phase structure and adhesion in polymer blends: A criterion for rubber toughening
    • S. WU, Phase structure and adhesion in polymer blends: A criterion for rubber toughening, Polymer 26, 1855-1863 (1985).
    • (1985) Polymer , vol.26 , pp. 1855-1863
    • Wu, S.1


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