Physics – Optics
Scientific paper
2008-11-14
J Phys A: Math Theor 42, 165402 (2009)
Physics
Optics
Scientific paper
10.1088/1751-8113/42/16/165402
The linear strong--property--fluctuation theory (SPFT) was developed in order to estimate the constitutive parameters of certain homogenized composite materials (HCMs) in the long--wavelength regime. The component materials of the HCM were generally orthorhombic $mm2$ piezoelectric materials, which were randomly distributed as oriented ellipsoidal particles. At the second--order level of approximation, wherein a two--point correlation function and its associated correlation length characterize the component material distributions, the SPFT estimates of the HCM constitutive parameters were expressed in terms of numerically--tractable two--dimensional integrals. Representative numerical calculations revealed that: (i) the lowest--order SPFT estimates are qualitatively similar to those provided by the corresponding Mori--Tanaka homogenization formalism, but differences between the two estimates become more pronounced as the component particles become more eccentric in shape; and (ii) the second--order SPFT estimate provides a significant correction to the lowest--order estimate, which reflects dissipative losses due to scattering.
Duncan Andrew J.
Lakhtakia Akhlesh
Mackay Tom G.
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