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Title: Dielectric response of spherically anisotropic graded piezoelectric composites
Authors: Wei, EB
Gu, GQ
Poon, YM
Shin, FG
Keywords: Composite materials
Piezoelectric materials
Issue Date: 1-Oct-2007
Publisher: American Institute of Physics
Source: Journal of applied physics, 1 Oct. 2007, v. 102, no. 7, 074102, p. 1-7 How to cite?
Journal: Journal of applied physics 
Abstract: A graded piezoelectric composite consisting of a spherically anisotropic graded piezoelectric inclusion imbedded in an infinite nonpiezoelectric matrix, with the physical properties of the graded spherical inclusion having a power-law profile with respect to the radial variable r, is studied theoretically. Under an external uniform electric field, the electric displacement field and the elastic stress tensor field of this spherically anisotropic graded piezoelectric composite are derived exactly by means of displacement separation technique, based on the governing equations in the dilute limit. A piezoelectric response mechanism, in which the effective piezoelectric response vanishes along the z direction (or x,y directions), is revealed in this kind of graded piezoelectric composites. Furthermore, it is found that the effective dielectric constant decreases (or increases) with the volume fraction p of the inclusions if the exponent parameter k of the grading profile is larger (or smaller) than a critical value.
ISSN: 0021-8979 (print)
1089-7550 (online)
DOI: 10.1063/1.2785020
Rights: © 2007 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 E. B. Wei et al., J. Appl. Phys. 102, 074102 (2007) and may be found at
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