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

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References

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