Abstract
Based on the modified Bruggerman method (mean field theory), equations for the effective diffusion coefficient in a porous medium are derived, and the dependences of the effective moduli of elasticity of composite materials on the volume fraction of inclusions are obtained. It is shown that the application of this method to the determination of the elastic properties of laminated composites gives the results that are identical to those obtained earlier by the averaging method.
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REFERENCES
Dukhin, S.S. and Shilov, V.N., Dielectric Phenomena and the Double Layer in Disperse Systems and Polyelectrolytes, New York: Wiley, 1974.
Bruggerman, D.A.G., Ann. Phys., 1935, vol. 24, p. 636.
Christensen, R.M., J. Mech. Phys. Solids, 1990, vol. 38, p. 379.
Starov, V., Zhdanov, V., Meireles, M., and Molle, C., Adv. Colloid Interface Sci., 2001, vol. 96, p. 279.
Starov, V. and Zhdanov, V., Colloids Surf., A, 2001, vol. 192, p. 363.
Zhdanov, V.G. and Starov, V.M., Fiz. Mezomekh., 2001, vol. 4, p. 75.
Wagner, K.W., Die Isoleirstoffe der Elektrotechnik, Schering, H., Ed., Berlin: Springer-Verlag, 1924.
Maxwell, J.C., Treatise on Electricity and Magnetism, Oxford: Clarendon, 1954, 2nd ed., vol. 1.
Whitaker, S., The Method of Volume Averaging, London: Kluwer, 1999.
Khorshun, L.P., Maslov, B.P., Shikulda, E.N., and Nazarenko, L.V., Statisticheskaya mekhanika i effektivnye svoistva materialov (Statistical Mechanics and Effective Properties of Materials), Kiev: Naukova Dumka, 1993.
Simeonov, P. and Ahmad, S., Cem. Concr. Res., 1995, vol. 25, p. 165.
Mura, T., Micromechanics of Defects in Solids, Dordrecht: Martinus Nijhoff, 1987.
Lord Rayleigh, Philos. Mag., 1892, vol. 34, p. 481.
Bottcher, C.J.F., Theory of Electric Polarization, Amsterdam: Elsevier, 1952.
Kubo, M. and Nakamura, S., Bull. Chem. Soc. Jpn., 1953, vol. 26, p. 318.
Wiener, O., Abh. Math. Phys. Kl. Saechs. Ges. Wiss., 1912, vol. 32, p. 509.
Wakao, N. and Smith, J.M., Chem. Eng. Sci., 1962, vol. 17, p. 825.
Ryan, D., Carbonell, R.G., and Whitaker, S., AIChE Symp. Ser., vol. 71, no. 202, p. 46.
Quintard, M. and Whitaker, S., Chem. Eng. Sci., 1993, vol. 48, p. 2537.
Quintard, M. and Whitaker, S., Adv. Heat Transfer, 1993, vol. 23, p. 369.
Weissberg, H.L., J. Appl. Phys., 1963, vol. 64, p. 2636.
Kim, J.H., Ochoa, J.A., and Whitaker, S., Transp. Porous Media, 1987, vol. 2, p. 327.
Currie, J.A., Br. J. Appl. Phys., 1960, vol. 11, p. 314.
Hoogschagen, J., Ind. Eng. Chem., 1955, vol. 47, p. 906.
Hanai, T., Koizumi, N., and Gotoh, R., Kolloid-Z., 1959, vol. 167, p. 41.
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Zhdanov, V.G., Starov, V.M. Calculation of the Effective Properties of Porous and Composite Materials. Colloid Journal 64, 706–715 (2002). https://doi.org/10.1023/A:1021546021550
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DOI: https://doi.org/10.1023/A:1021546021550