메뉴 건너뛰기




Volumn 464, Issue 2090, 2008, Pages 423-446

Maxwell's far-field methodology applied to the prediction of properties of multi-phase isotropic particulate composites

Author keywords

Bulk modulus; Maxwell methodology; Particulate composites; Shear modulus; Thermal conductivity; Thermal expansion

Indexed keywords

ELECTRIC CONDUCTIVITY; ESTIMATION; MAXWELL EQUATIONS; THERMAL SPRAYING; TITRATION;

EID: 47149099797     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.0071     Document Type: Article
Times cited : (70)

References (26)
  • 1
    • 0011903382 scopus 로고
    • The thermal expansion and bulk modulus of composites consisting of arrays of spherical particles in a matrix, with body or face centred cubic symmetry
    • doi:10.1098/rspa.1992.0107
    • Arridge, R. G. C. 1992 The thermal expansion and bulk modulus of composites consisting of arrays of spherical particles in a matrix, with body or face centred cubic symmetry. Proc. R. Soc. A 438, 291-310. (doi:10.1098/rspa.1992.0107)
    • (1992) Proc. R. Soc. A , vol.438 , pp. 291-310
    • Arridge, R.G.C.1
  • 2
    • 0000217142 scopus 로고
    • A method for determining the effective conductivity of dispersions of particles
    • doi:10.1098/rspa.1990.0092
    • Bonnecaze, R. T. & Brady, J. F. 1990 A method for determining the effective conductivity of dispersions of particles. Proc. R. Soc. A 430, 285-313. (doi:10.1098/rspa.1990.0092)
    • (1990) Proc. R. Soc. A , vol.430 , pp. 285-313
    • Bonnecaze, R.T.1    Brady, J.F.2
  • 3
    • 0018506068 scopus 로고
    • Solutions for the effective shear properties in three phase sphere and cylinder models
    • doi:10.1016/0022-5096(79)90032-2
    • Christensen, R.M. & Lo, K. H. 1979 Solutions for the effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27, 315-330. (doi:10.1016/0022-5096(79)90032-2)
    • (1979) J. Mech. Phys. Solids , vol.27 , pp. 315-330
    • Christensen, R.M.1    Lo, K.H.2
  • 4
    • 0037706741 scopus 로고    scopus 로고
    • Effective elastic properties of periodic composite medium
    • doi:10.1016/S0022-5096(03)00054-1
    • Cohen, I. & Bergman, D. J. 2003a Effective elastic properties of periodic composite medium. J. Mech. Phys. Solids 51, 1433-1457. (doi:10.1016/S0022-5096(03)00054-1)
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1433-1457
    • Cohen, I.1    Bergman, D.J.2
  • 5
    • 0141482172 scopus 로고    scopus 로고
    • Clausius-Mossotti-type approximation for elastic moduli of a cubic array of spheres
    • doi:10.1103/PhysRevB.68.024104
    • Cohen, I. & Bergman, D. J. 2003b Clausius-Mossotti-type approximation for elastic moduli of a cubic array of spheres. Phys. Rev. B 68, 024 104. (doi:10.1103/PhysRevB.68.024104)
    • (2003) Phys. Rev. B , vol.68 , pp. 024-104
    • Cohen, I.1    Bergman, D.J.2
  • 6
    • 4243411803 scopus 로고
    • Mean-field approximation to the effective elastic moduli of a solid suspension of spheres
    • doi:10.1103/PhysRevA.45.611
    • Felderhof, B. U. & Iske, P. L. 1992 Mean-field approximation to the effective elastic moduli of a solid suspension of spheres. Phys. Rev. A 45, 611-617. (doi:10.1103/PhysRevA.45.611)
    • (1992) Phys. Rev. A , vol.45 , pp. 611-617
    • Felderhof, B.U.1    Iske, P.L.2
  • 7
    • 85024598889 scopus 로고
    • The elastic moduli of heterogeneous materials
    • Hashin, Z. 1962 The elastic moduli of heterogeneous materials. J. Appl. Mech. 29, 143-150.
    • (1962) J. Appl. Mech , vol.29 , pp. 143-150
    • Hashin, Z.1
  • 8
    • 0020816026 scopus 로고
    • Analysis of composite materials - a survey
    • Hashin, Z. 1983 Analysis of composite materials - a survey. J. Appl. Mech. 50, 481-505.
    • (1983) J. Appl. Mech , vol.50 , pp. 481-505
    • Hashin, Z.1
  • 9
    • 36849124660 scopus 로고
    • A variational approach to the theory of the effective magnetic permeability of multiphase materials
    • doi:10.1063/1.1728579
    • Hashin, Z. & Shtrikman, S. 1962 A variational approach to the theory of the effective magnetic permeability of multiphase materials. J. Appl. Phys. 33, 3125-3131. (doi:10.1063/1.1728579)
    • (1962) J. Appl. Phys , vol.33 , pp. 3125-3131
    • Hashin, Z.1    Shtrikman, S.2
  • 10
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behaviour of multiphase composites
    • doi:10.1016/0022-5096(63)90060-7
    • Hashin, Z. & Shtrikman, S. 1963 A variational approach to the theory of the elastic behaviour of multiphase composites. J. Mech. Phys. Solids 11, 127-140. (doi:10.1016/0022-5096(63)90060-7)
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 12
    • 36149065826 scopus 로고
    • The electrical conductivity of composite media
    • doi:10.1088/0370-1301/69/ 8/304
    • Kerner, E. H. 1956a The electrical conductivity of composite media. Proc. Phys. Soc. B 69, 802-807. (doi:10.1088/0370-1301/69/ 8/304)
    • (1956) Proc. Phys. Soc. B , vol.69 , pp. 802-807
    • Kerner, E.H.1
  • 13
    • 36149066076 scopus 로고
    • The elastic and thermo-elastic properties of composite media
    • doi:10.1088/0370-1301/69/8/305
    • Kerner, E. H. 1956b The elastic and thermo-elastic properties of composite media. Proc. Phys. Soc. B 69, 808-813. (doi:10.1088/0370-1301/69/8/305)
    • (1956) Proc. Phys. Soc. B , vol.69 , pp. 808-813
    • Kerner, E.H.1
  • 14
    • 0003159220 scopus 로고
    • Electrical conductivity in inhomogeneous media
    • eds J. C. Garland & D. B. Tanner, pp, New York, NY: American Institute of Physics
    • Landauer, R. 1978 Electrical conductivity in inhomogeneous media. In Electrical, transport and optical properties of inhomogeneous media (eds J. C. Garland & D. B. Tanner), pp. 2-43. New York, NY: American Institute of Physics.
    • (1978) Electrical, transport and optical properties of inhomogeneous media , pp. 2-43
    • Landauer, R.1
  • 16
    • 85020768658 scopus 로고    scopus 로고
    • Maxwell, J. C. 1873 A treatise on electricity and magnetism, 1, ch. 9, article no. 310-315, pp. 435-441, 1st edn. Oxford, UK: Clarendon Press. (3rd edn. 1892). (See also article no. 322, pp. 447-448, for a composite laminate analysis.)
    • Maxwell, J. C. 1873 A treatise on electricity and magnetism, vol. 1, ch. 9, article no. 310-315, pp. 435-441, 1st edn. Oxford, UK: Clarendon Press. (3rd edn. 1892). (See also article no. 322, pp. 447-448, for a composite laminate analysis.)
  • 17
    • 85020823176 scopus 로고    scopus 로고
    • Milton, G. W. 2002 The theory of composites. Cambridge monographs on applied and computational mathematics. Cambridge, UK: Cambridge University Press.
    • Milton, G. W. 2002 The theory of composites. Cambridge monographs on applied and computational mathematics. Cambridge, UK: Cambridge University Press.
  • 18
    • 0014735918 scopus 로고
    • Effective thermal expansion coefficients and specific heats of composite materials
    • doi:10.1016/0020-7225(70)90066-2
    • Rosen, W. B. & Hashin, Z. 1970 Effective thermal expansion coefficients and specific heats of composite materials. Int. J. Eng. Sci. 8, 157-173. (doi:10.1016/0020-7225(70)90066-2)
    • (1970) Int. J. Eng. Sci , vol.8 , pp. 157-173
    • Rosen, W.B.1    Hashin, Z.2
  • 19
    • 0021097449 scopus 로고
    • The effective conductivity of a periodic array of spheres
    • doi:10.1098/rspa.1983.0036
    • Sangani, A. S. & Acrivos, A. 1983 The effective conductivity of a periodic array of spheres. Proc. R. Soc. A 386, 263-275. (doi:10.1098/rspa.1983.0036)
    • (1983) Proc. R. Soc. A , vol.386 , pp. 263-275
    • Sangani, A.S.1    Acrivos, A.2
  • 20
    • 84964172898 scopus 로고
    • Thermal expansion coefficients of composite materials based on energy principles
    • doi:10.1177/002199836800200308
    • Shapery, R. A. 1968 Thermal expansion coefficients of composite materials based on energy principles. J. Comp. Mater. 2, 380-404. (doi:10.1177/002199836800200308)
    • (1968) J. Comp. Mater , vol.2 , pp. 380-404
    • Shapery, R.A.1
  • 22
    • 21944445279 scopus 로고
    • Bounds on the thermoelastic properties of suspension of spheres
    • doi:10.1063/1.344555
    • Torquato, S. 1990 Bounds on the thermoelastic properties of suspension of spheres. J. Appl. Phys. 67, 7223-7227. (doi:10.1063/1.344555)
    • (1990) J. Appl. Phys , vol.67 , pp. 7223-7227
    • Torquato, S.1
  • 24
    • 49949149864 scopus 로고
    • On bounds for the overall elastic moduli of inhomogeneous systems - I
    • doi:10.1016/0022-5096(66)90035-4
    • Walpole, L. J. 1966 On bounds for the overall elastic moduli of inhomogeneous systems - I. J. Mech. Phys. Solids 14, 151-162. (doi:10.1016/0022-5096(66)90035-4)
    • (1966) J. Mech. Phys. Solids , vol.14 , pp. 151-162
    • Walpole, L.J.1
  • 25
    • 0021593132 scopus 로고
    • Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
    • doi:10.1016/0020-7225(84)90033-8
    • Weng, G. J. 1984 Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions. Int. J. Eng. Sci. 22, 845-856. (doi:10.1016/0020-7225(84)90033-8)
    • (1984) Int. J. Eng. Sci , vol.22 , pp. 845-856
    • Weng, G.J.1
  • 26
    • 0025546810 scopus 로고
    • The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds
    • doi:10.1016/0020-7225(90)90111-U
    • Weng, G. J. 1990 The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds. Int. J. Eng. Sci. 28, 1111-1120. (doi:10.1016/0020-7225(90)90111-U)
    • (1990) Int. J. Eng. Sci , vol.28 , pp. 1111-1120
    • Weng, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.