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Effective Properties of Discrete Random Composites Wherein the Host and Inclusion Phases Obey Different Constitutive Relations

Published online by Cambridge University Press:  25 February 2011

V V. Varadan ,
R. T. Apparao  and
V. K. Varadan
V V. Varadan
Affiliation:
Research Center for the Engineering of Electronic and Acoustic Materials Department of Engineering Science and Mechanics, The Pennsylvania State University University Park, PA - 16802
R. T. Apparao
Affiliation:
Research Center for the Engineering of Electronic and Acoustic Materials Department of Engineering Science and Mechanics, The Pennsylvania State University University Park, PA - 16802
V. K. Varadan
Affiliation:
Research Center for the Engineering of Electronic and Acoustic Materials Department of Engineering Science and Mechanics, The Pennsylvania State University University Park, PA - 16802
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Abstract

In studying the effective medium theories, polarization is hardly given a consideration in deciding the effective properties of a composite where the host and inclusion phases follow different constitutive equations. A significant conclusion of this paper is that eventhough the composite has discrete inclusions, with the inclusion phase obeying different constitutive properties than the host, the effective medium shows a preference for the inclusion behavior rather than the host which is continuous. As an example, results on polarization study are detailed for the specific case of chiral composites. Application of similar principles is presently explored in more complex problems like the elastic wave propagation through piezoelectric composites and the acoustic wave propagation through sediments.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 253: Symposium V – Application of Multiple Scattering Theory to Materials Science , 1991 , 113
Copyright
Copyright © Materials Research Society 1992

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References

REFERENCES

1. Biot, M. A., J. Acoust. Soc. Am. 28, 168 (1956).Google Scholar
2. Bruggeman, D. A. G., Ann. Physik (Leipz.) 24, 636 (1935).Google Scholar
3. Bohren, C. F., Chem. Phys. Lett., 40. 391 (1976).Google Scholar
4. Garnett, J. C. M., Philos. Trans. R. Soc. Lon. 203, 385 1904.Google Scholar
5. Varadan, V K., Bringi, V. N., Varadan, V. V. and Ishimaru, A., Radio Sci. 18, 321 1983.Google Scholar
6. Foldy, L. L., Phys. Rev. 67, 107 1945.Google Scholar
7. Lax, M., Rev. Mod. Phys. 23, 287 (1951); Phys. Rev. 88, 621 (1952).Google Scholar
8. Waterman, P. C., Phys. Rev. D. 3, 825 1971.Google Scholar
9. Varadan, V K., Bringi, V. N. and Varadan, V. V., Phys. Rev. D. 19, 2480 1979. V V. Varadan, V. N. Bringi and V. K. Varadan in Macroscopic Properties of Disordered Media, Lect. Notes Phys. No. 154, edited by R. Burridge, C. Childress, and G. C. Papanicolaou (Springer - Verlag, New York, 1982), pp. 272 - 284.Google Scholar
10. Varadan, V K., Acoustic. Electromagnetic and Elastic Wave Scattering - Focus on the T-matrix approach, edited by Varadan, V. K. and Varadan, V. V., (Permagon, New York, 1980), pp. 103–134; V. V. Varadan and V K. Varadan, Phys. Rev. D. 21, 388 (1980).Google Scholar
11. Bringi, V N., Seliga, T. A., Varadan, V. K. and Varadan, V. V., Multiple Scattering and waves in Random media, edited by Chow, P. L., Kohler, W. E., and Papanicolaou, G., (North - Holland, Amsterdam, 1981), pp. 43–75; V. N. Bringi, V. V. Varadan, and V. K. Varadan, IEEE Trans. Antennas Propag., AP-30, 805 (1982); V. N. Bringi, V. K. Varadan, and V. V. Varadan, Radio Sci., 17. 946 (1982)Google Scholar
12. Lakhtakia, A., Varadan, V. K., and Varadan, V. V., Applied Optics, 24, no. 23, 4146 (1985).Google Scholar