The homogenization of orthorhombic piezoelectric composites by the strong-property-fluctuation theory

Andrew J. Duncan, Tom G. Mackay, Akhlesh Lakhtakia

Research output: Contribution to journalArticlepeer-review

Abstract

The linear strong-property-fluctuation theory (SPFT) was developed in order to estimate the constitutive parameters of certain homogenized composite materials (HCMs) in a 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 accommodates attenuation due to scattering losses.

Original languageEnglish
Article number165402
Pages (from-to)-
Number of pages24
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number16
DOIs
Publication statusPublished - 24 Apr 2009

Keywords

  • ELLIPSOIDAL INCLUSIONS
  • ELECTROMAGNETIC-WAVES
  • THIN-FILMS
  • SCATTERING
  • MEDIA
  • FIELD
  • METAMATERIALS
  • CONVERGENCE

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