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

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 (US)
Article number165402
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number16
DOIs
StatePublished - Jul 27 2009

Fingerprint

Fluctuations (theory)
fluctuation theory
homogenizing
Homogenization
Composite
composite materials
Composite materials
estimates
Composite Materials
Estimate
Piezoelectric materials
Lowest
Scattering
Wavelength
Piezoelectric Material
eccentrics
Correlation Length
Attenuation
Numerical Calculation
Correlation Function

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

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The homogenization of orthorhombic piezoelectric composites by the strong-property-fluctuation theory. / Duncan, Andrew J.; MacKay, Tom G.; Lakhtakia, Akhlesh.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 42, No. 16, 165402, 27.07.2009.

Research output: Contribution to journalArticle

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