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Research Papers

An Analytical Model for the Effective Dielectric Constant of a 0-3-0 Composite

[+] Author and Article Information
S. Banerjee

 Mechanical and Aerospace Engineering Department, Rutgers, The State University of New Jersey, Piscataway, NJ 08854-8058

K. A. Cook-Chennault

 Mechanical and Aerospace Engineering Department, Rutgers, The State University of New Jersey, Piscataway, NJ 08854-8058; Center of Advanced Energy Systems, Rutgers, The State University of New Jersey, Piscataway, NJ 08854-8058

J. Eng. Mater. Technol 133(4), 041005 (Oct 14, 2011) (5 pages) doi:10.1115/1.4004811 History: Received February 17, 2011; Accepted July 22, 2011; Revised July 22, 2011; Published October 14, 2011; Online October 14, 2011

An analytical expression for prediction of the effective dielectric constant of a three phase 0-3-0 ferroelectric composite is presented. The analytical results are verified with the experimental results from Nan (2002, “Three-Phase Magnetoelectric Composite of Piezoelectric Ceramics, Rare-Earth Iron Alloys, and Polymer,” Appl. Phys. Lett., 81(20), p. 3831). The analytical model is extended to include the shape of a third phase inclusion to examine the influence of the shape (of the inclusion) on the effective dielectric constant of the composite. The dielectric constant increases as much as seven times when the aspect ratio of the conducting inclusion particle is increased from 1 (sphere) to 10 (spheroid). A comparison of the analytical predictions with the experimental values, which indicate that the increase in aspect ratio of the inclusions has a significant effect on the overall dielectric constant of the composite.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Representation of uniformly distributed and separated spherical inclusions inside the matrix

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Figure 2

Representation of a 0-3-0 composite by assuming that the 0-3 composite is an isotropic material

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Figure 3

Comparison of analytical model results with experimental data from Nan [1]

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Figure 4

A comparison of the three phase model with the values of the dielectric constant of the three phase BaTiO3 -PVDF-MWNT

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