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Developments in Ceramic Materials Research

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Progress <strong>in</strong> Porous Piezoceramics 217<br />

2.3.3. Hydrostatic Charge Coefficient<br />

Figure 4a shows the variation <strong>in</strong> piezoelectric charge coefficient with change <strong>in</strong> ceramic<br />

volume fraction. The hydrostatic charge coefficient (dH) <strong>in</strong>creases with <strong>in</strong>creas<strong>in</strong>g<br />

piezoceramic volume fraction, reach<strong>in</strong>g a broad maximum around 50-60 vol. % PZT, for<br />

PZT-Air composites. This is <strong>in</strong> good agreement with analytical models which <strong>in</strong>dicate a broad<br />

maximum around 40-50 % PZT for dH [33]. It is difficult to draw similar conclusion from<br />

PZT-polymer composites due to the large scatter of the results. Decoupl<strong>in</strong>g of d33 and d31<br />

coefficients by the polymer and ceramic struts along the direction transverse to the pol<strong>in</strong>g<br />

direction resulted a large reduction <strong>in</strong> d31 compared to d33, which <strong>in</strong> turn <strong>in</strong>creases dH. For<br />

PZT-5H, the d33, charge per unit force produced <strong>in</strong> the direction of polarisation is almost the<br />

same <strong>in</strong> magnitude (513 pCN -1 ) as the comb<strong>in</strong>ation of d31 and the d32, the charge on the<br />

transverse directions, but opposite <strong>in</strong> sign (-220 pCN -1 ). Therefore, if a hydrostatic force is<br />

applied to monolithic PZT-5H the charges cancel each other out. As seen <strong>in</strong> Figure 4b, an<br />

<strong>in</strong>crease <strong>in</strong> the d33/d31 ratio with decreas<strong>in</strong>g ceramic volume fraction <strong>in</strong>dicates strong<br />

decoupl<strong>in</strong>g. Air provides better decoupl<strong>in</strong>g than the polymer. The d33/d31 ratio does not tail<br />

down as <strong>in</strong> dh which is due to the low values of the d33 and d31 charge coefficients at low<br />

ceramic fraction.<br />

Figure 4. Variation of piezoelectric hydrostatic coefficients of 3-3 composites with ceramic volume<br />

fractions; (a) charge coefficient (dH), (b) voltage coefficient (g H) and (c) Figure-of-Merit (d H g H).<br />

Polymer <strong>in</strong>filtration of the poled porous ceramics reduced the hydrostatic response of the<br />

composites considerably when compared to the PZT-air composites although there is still

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