The homogenization of orthorhombic piezoelectric composites by the strongpropertyfluctuation theory
Abstract
The linear strongpropertyfluctuation theory (SPFT) was developed in order to estimate the constitutive parameters of certain homogenized composite materials (HCMs) in a longwavelength regime. The component materials of the HCM were generally orthorhombic mm2 piezoelectric materials, which were randomly distributed as oriented ellipsoidal particles. At the secondorder level of approximation, wherein a twopoint 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 twodimensional integrals. Representative numerical calculations revealed that (i) the lowest order SPFT estimates are qualitatively similar to those provided by the corresponding MoriTanaka homogenization formalism, but differences between the two estimates become more pronounced as the component particles become more eccentric in shape, and (ii) the secondorder SPFT estimate provides a significant correction to the lowest order estimate, which accommodates attenuation due to scattering losses.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 2009
 DOI:
 10.1088/17518113/42/16/165402
 arXiv:
 arXiv:0811.2387
 Bibcode:
 2009JPhA...42p5402D
 Keywords:

 Physics  Optics
 EPrint:
 J Phys A: Math Theor 42, 165402 (2009)