Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-16T09:31:38.700Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamic Properties of Composite Materials Using a T-Matrix to Describe Microstructure

Published online by Cambridge University Press:  25 February 2011

V. V. Varadan  and
V. K. Varadan
V. V. Varadan
Affiliation:
Department of Engineering Science and Mechanics and The Materials Research Laboratory, The Pennsylvania StateUniversity Park University Park, PA 16802
V. K. Varadan
Affiliation:
Department of Engineering Science and Mechanics and The Materials Research Laboratory, The Pennsylvania StateUniversity Park University Park, PA 16802
Get access

Abstract

A dispersion equation is obtained for plane wave propagation in a discrete random medium. The effect of multiple scattering between the discrete inhomogeneities, statistical correlation in the position of the scatterers, details of the geometry, size and properties of the inhomogeneity via the T-matrix are considered. The resulting effective wavenumber for the average or composite medium depends on the above parameters and the frequency. The complex effective wavenumber in turn can be related to the effective properties of the composite material. The formalism is extremely well suited for numerical computation and can thus yield results suited for engineering applications. The other advantage is that the generality of the T-matrix description makes it convenient for describing acoustic, electromagnetic and elastodynamic problems.

Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 63: Symposium R – Computer-Based Microscopic Description of the Structure and Properties of Materials , 1985 , 101
Copyright
Copyright © Materials Research Society 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Bruggeman, D. A., Ann. Phys. Lpz. 2A, 636 (1935).Google Scholar
2. Biot, M. A., J. Acoust. Soc. Am, 179 (1956).Google Scholar
3. Bedeaux, D. and Mazur, P., Physica 67, 63 (1973).Google Scholar
4. Varadan, V. K. and Varadan, V. V., Eds. Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-matrix Approach, 103, Perganon Press, New York (1980).Google Scholar
5. Bringi, V. N., Varadan, V. K. and Varadan, V. V., IEEE, AP–31, 371 (1983).Google Scholar
6. Varadan, V. K., Ma, Y. and Varadan, V. V., Radio Science 19, 1445 (1984).Google Scholar
7. Varadan, V. K., Varadan, V. V. and Ma, Y., IEEE-MTT 33, No. 5 (1986).Google Scholar
8. Varadan, V. K., Varadan, V. V. and Ma, Y., J. Acoust. Soc. Am., in press.Google Scholar
9. Varadan, V. K., Varadan, V. V. and Ma, Y., J. Acoust. Soc. Am., 76, 296 (1984).Google Scholar
10. Varadan, V. K., Ma, Y. and Varadan, V. V., J. Acoust. Soc. Am. 77, 375 (1985).Google Scholar
11. Twersky, V., J. Math. Phys. 19, 215 (1978).Google Scholar
12. Twersky, V., J. Acoust. Soc. Am., 64, 1710 (1978).Google Scholar
13. Lax, M., Phys. Rev. 88, 621 (1952).Google Scholar
14. Barker, J. A. and Henderson, D., Mol. Phys., 21, 187, (1971).Google Scholar