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Title: Explicit formulas for effective piezoelectric coefficients of ferroelectric 0-3 composites based on effective medium theory
Authors: Wong, CK
Poon, YM
Shin, FG
Keywords: Particle reinforced composites
Elastic moduli
Lead compounds
Filled polymers
Ferroelectric ceramics
Issue Date: 1-Jan-2003
Publisher: American Institute of Physics
Source: Journal of applied physics, 1 Jan. 2003, v. 93, no. 1, p. 487-496 How to cite?
Journal: Journal of applied physics 
Abstract: Explicit formulas were derived for the effective piezoelectric stress coefficients of a 0–3 composite of ferroelectric spherical particles in a ferroelectric matrix which were then combined to give the more commonly used strain coefficients. Assuming that the elastic stiffness of the inclusion phase is sufficiently larger than that of the matrix phase, the previously derived explicit expressions for the case of a low volume concentration of inclusion particles [C. K. Wong, Y. M. Poon, and F. G. Shin, Ferroelectrics 264, 39 (2001); J. Appl. Phys. 90, 4690 (2001)] were "transformed" analytically by an effective medium theory (EMT) with appropriate approximations, to suit the case of a more concentrated suspension. Predictions of the EMT expressions were compared with the experimental values of composites of lead zirconate titanate ceramic particles dispersed in polyvinylidene fluoride and polyvinylidene fluoride-trifluoroethylene copolymer, reported by Furukawa [IEEE Trans. Electr. Insul. 24, 375 (1989)] and by Ng et al. [IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 1308 (2000)] respectively. Fairly good agreement was obtained. Comparisons with other predictions, including the predictions given by numerically solving the EMT scheme, were also made. It was found that the analytic and numeric EMT schemes agreed with each other very well for an inclusion of volume fraction not exceeding 60%.
ISSN: 0021-8979 (print)
1089-7550 (online)
DOI: 10.1063/1.1524720
Rights: © 2003 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in C. K. Wong, Y. M. Poon & F. G. Shin, J. Appl. Phys. 93, 487 (2003) and may be found at
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