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Developments in Ceramic Materials Research

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222<br />

R. Ramesh, H. Kara, Ron Stevens and C. R. Bowen<br />

The lower value of the experimental values for higher ceramic content may be due to the<br />

presence of isolated pores. This lowers the capacitance of the composites even for a small<br />

addition of polymer, because of serial connection with PZT. Similar effect of 0-3 connectivity<br />

on permittivity has also been reported <strong>in</strong> the literature [17]. As seen <strong>in</strong> Figure 5b the<br />

hydrostatic charge coefficient <strong>in</strong>creases with the ceramic volume ratio and reaches a<br />

maximum at around 30-40 %. It can be seen from the figure that the experimental data agree<br />

with the analytical result. In Figs.1c and 1d, the analytical curves show a maximum <strong>in</strong> the<br />

region of low ceramic volume fractions and the value of FoM is about three orders of<br />

magnitude higher than that of the dense piezoceramics. The experimentally measured values<br />

lie around the analytical curve for high ceramic volume ratios.<br />

Figure 6a shows that the density of the piezocomposite is a l<strong>in</strong>ear function of the ceramic<br />

volume fraction and follows the simple ‘rule of mixtures’. Figure 6b shows the variations <strong>in</strong><br />

the thickness-mode electromechanical coupl<strong>in</strong>g coefficients ( k t ) of the composites. The<br />

analytical values are estimated us<strong>in</strong>g Eq.10 and the experimental values are obta<strong>in</strong>ed from the<br />

resonance (fr) and anti resonance (fa) frequencies of the electrical impedance spectra. k t<br />

<strong>in</strong>creases with the ceramic volume fraction, unlike the case of a 1-3 piezocomposite, for<br />

which the k t curve shows a broad maximum for <strong>in</strong>termediate volume fractions [11].<br />

Figure 6. Variation of (a) density, (b) thickness-mode coupl<strong>in</strong>g coefficient and (c) acoustic impedance,<br />

with ceramic volume fraction. (d) electrical impedance spectrum. Markers are the experimental data<br />

and solid l<strong>in</strong>es are the analytical curves.

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