A modification of the original theories of Rayleigh and Maxwell permitted the deriva tion of expressions for the effective thermal conductivity of composites consisting of a continuous matrix phase with dilute concentrations of dispersions with spherical, cylin drical and flat plate geometry with a thermal barrier resistance at the interface between the components.
Get full access to this article
View all access options for this article.
References
1.
Lord Rayleigh, "On the Influence of Obstacles Arranged in Rectangular Order Upon the Properties of a Medium," Phil. Mag., 34:481 (1982)
2.
Maxwell, J.C.A Treatise on Electricity and Magnetism, 13rd ed., Oxford University Press (1904 ).
3.
Fricke, H. "The Electrical Conductivity of a Suspension of Homogeneous Spheroids ," Phys. Rev., 24:575 (1924).
4.
Bruggeman, D.A.G. "Dielectric Constant and Conductivity of Mixtures of Isotropic Materials," Annalen Physik, 24:636 (1935).
5.
Kerner, E.H. "The Electrical Conductivity of Composite Media ," Proc. Phys. Soc , (London) B69:802 (1956).
6.
De La Rue R.E. and C.W. Tobias. "On the Conductivity of Dispersions ," J. Electrochem. Soc., 106:827 (1959).
7.
Hashin, Z. "Assessment of the Self Consistent Scheme Approximation: Conductivity of Particulate Composites," J. Comp. Mat.2:284 (1968).
8.
Cheng, S.C. and R.I. Vachon. "The Prediction of the Thermal Conductivity of Two and Three Phase Solid Heterogeneous Mixtures," Int. J. Heat Mass Transfer, 12:249 (1969).
9.
Budiansky, B. "Thermal and Thermoelastic Properties of Isotropic Composites," J. Comp. Mat., 4:286 (1970).
10.
Nir, A. and Acrivos, A. "The Effective Thermal Conductivity of Sheared Specimens," J. Fluid Mech., 78:33 (1976).
11.
Crane, R.A. and R.I. Vachon. "Prediction of the Bounds on the Effective Thermal Conductivity of Granular Materials" Int. J. Heat and Mass Transfer, 20:711 (1977).
12.
Nomura, S. and T.W. Chou "Bounds of Effective Thermal Conductivity of Short-Fiber Composites ," J. Comp. Mat.14:120 (1980).
13.
Hatta, H. and M. Taya. "Thermal Conductivity of Coated Filler-Composites," J. Appl. Phys., 59:1851 (1986).
14.
Powell, B.R. , Jr., G.E. Youngblood, D.P.H. Hasselman and L.D. Bentsen. "Effect of Thermal Expansion Mismatch on the Thermal Diffusivity of Glass-Ni Composites," J. Am. Ceram. Soc63:581 (1980).
15.
Hasselman, D.P.H., L.F. Johnson, R. Syed, M.P. Taylor andK. Chyung. "Heat Conduction Characteristics of a Carbon Fiber-Reinforced Lithium-Alumino-Silicate Glass-Ceramic ," J. Mat. Sc. (in review).
16.
Willis, J.R. "Bounds and Self-Consistent Estimates for the Overall Properties of Anisotropic Composites," J. Mech. Phys. Solids, 25:185 (1977).
17.
Hasselman, D.P.H. "Effect of Cracks on Thermal Conductivity ," J. Comp. Mat., 12:403 (1978).
18.
Lee, H.J. and Taylor, R.E. "Determination of Thermophysical Properties of Layered Composites by Flash Method," pp. 423-434 in Proc. 14th Int. Thermal Conductivity Conference, Plenum Press (1976).
19.
Malliaris A. and D.T. Turner. "Influence of Particle Size on the Electrical Resistivity of Compacted Mixtures of Polymeric and Metallic Powders," J. Appl. Phys., 42:614 (1971).
20.
Aharom, S.M. "Electrical Resistivity of a Composite of Conducting Particles in an Insulating Matrix" J. Appl. Phys., 43.2463 (1972).
21.
Meredith, R.E. and C.W. Tobias. "Resistance of Potential Flow Through a Cubical Array of Spheres," J. Appl. Phys , 31:1270 (1960)
22.
Powers, A.E.Conductivity in Aggregates, AEC Research and Development Report, Knolls Atomic Power Laboratory, KAPL-2145 (1961).
