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An interlayer model for the complex dielectric constant of composites

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Abstract

The complex dielectric constant of a composite with an interlayer was studied as a function of the volume fractions and the properties of the filler, the interlayer, and the matrix. The theoretical approach is analogous to the calculation of the shear modulus, the bulk modulus, and the termal expansivity of particulate filled polymers using the interlayer model (IM).

An analytical expression describing the influence of an interlayer on the generalized dielectric constant of the composite as a function of the volume fraction and interlayer properties is derived.

In the case of a composite with non-conductive constituents, the equations for static and oscillatory electric fields are similar. When conductive constituents are present, the complex dielectric constants have to be replaced by the generalized complex dielectric constants.

For a composite of non-conductive materials, without interlayer, the obtained relation reduces to the classical Rayleigh equation. In the case of a composite with conductive constituents, also without interlayer, the complete solution of Wagner's theory is found. Special attention has been paid to the case of a water interlayer in a glass-bead filled non-conductive matrix material.

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References

  1. Fröhlich J, Sack R (1946) Proc Roy Soc A 165:415

    Google Scholar 

  2. van der Poel C (1958) Rheol Acta 1:198

    Google Scholar 

  3. Maurer F H J (1986) In: Sedlacek B (ed) Polymer Composites. W de Gruyter & Co. Berlin, pp 399

    Google Scholar 

  4. Maurer F H J, Papazoglou E, Simha R (1988) In: H Ishida (ed) Advanced Concepts of Interfaces in Polymer, Ceramic and Metal Matrix Composites 2, Elsevier Scientific, Amsterdam, pp 747

    Google Scholar 

  5. Papazoglou E, Simha R, Maurer F H J (1989) Rheol Acta, 28:302

    Google Scholar 

  6. Simha R, Jain R K, Maurer F H J (1986) Rheol Acta 25:161

    Google Scholar 

  7. Paquin L, St-Onge H, Wertheimer M R (1982) IEEE Trans Electr Insul EI-17 5:399

    Google Scholar 

  8. Continaud M, Bonniau P, Bunsell A R (1982) J Mat Sci 17:867

    Google Scholar 

  9. Bànheyi G, Karasz F E (1986) J. Polym Sci 24:209

    Google Scholar 

  10. Woo M, Piggot R (1988) J of Composites 10:16

    Google Scholar 

  11. Pauly H, Schwan H P (1959) Naturforsch 14B:125

    Google Scholar 

  12. Hanai T (1968) In: Sherman P (ed) Emulsion Science. Academic Press, New York, pp 398

    Google Scholar 

  13. Tinga W R, Voss W A G, Blossey D F (1973) J Appl. Phys 44:3897

    Google Scholar 

  14. Beek L K H (1967) Progress in Dielectrics 7:69

    Google Scholar 

  15. Böttcher C J F, Bordewijk P (1978) ‘Theory of Electric Polarization’ vol II Elsevier Scientific, Amsterdam

    Google Scholar 

  16. K S Cole and R H Cole (1941) J Chem Phys 9:341

    Google Scholar 

  17. J J Fripiat A Jelli (1965) J Phys Chem, 69:2185

    Google Scholar 

  18. Steeman P A M, Maurer F H J, van Es M A, Polymer submitted

  19. Maurer F H J, Steeman P A M, van Es M A (1989) In: Wu Y, Gu Z, Wu R (eds.) Proceedings of ICCM VII VII vol. 2, Pergamon Press, Beijing pp 232

    Google Scholar 

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Steeman, P.A.M., Maurer, F.H.J. An interlayer model for the complex dielectric constant of composites. Colloid & Polymer Sci 268, 315–325 (1990). https://doi.org/10.1007/BF01411674

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  • DOI: https://doi.org/10.1007/BF01411674

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