On the determination of the piezoelectric shear coefficient,d15, in a PZT ceramic

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Abstract
The polarization obtained in the direction of an arbitrary uniaxial stress is derived by applying tensor transformations to the polarization-stress relation: Pi , = dijkσjk . Two- and three-dimensional plots of the results are shown. The experimental work described includes the preparation of discs poled uniformly at 90° to their thickness and the measurement of d 333 as a function of orientation. Very good agreement with the calculated results was obtained. The effect of electrodes on the measurement of d 333 (d 33) and the use of a d 311 (d 31) parameter measurement to permit a d 113 (d 15) determination are also demonstrated. The d 333 measurements as a function of stress orientation permitted determination of the d 15 value with a resolution of ±8%. Its average value was within 5% of d 15 values derived from other techniques.

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