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Composite Materials Research Progress

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272 Yasuhide Shindo and Fumio Narita<br />

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Figure 16. Tip deflection versus voltage for disk composite bending actuator.<br />

Fig. 15 shows the similar results for the shear stress distribution σzr. A singularity in the<br />

interface shear stress also develops at the circular electrode tip. Note that for the C-91 + /C-<br />

91 + disk bending actuator, since the problem is unsymmetrical to the r-axis, the shear stress<br />

does not become zero along the whole r-axis. Fig.16 gives a plot of the tip deflection uz at<br />

r =10mm and z =0mm with applied voltage V0, based on work, for C-91 + /C-91 + disk<br />

bending actuator with b =8and 10 mm. The curve rises steeply at first when the voltage is<br />

increased from zero. The tip deflection then gradually levels off when the voltage reaches<br />

about 220 V, because of switching in the lower layer (see Fig. 13). A similar phenomenon<br />

can be observed for negative voltage. The bending actuator for b =10mm exhibits higher<br />

deflection.<br />

5. Conclusions<br />

The electromechanical field distributionsin the neighborhood of the electrodes in piezoelectric<br />

composites were investigated. Two criteria for polarization switching in piezoelectric<br />

materials were incorporated into a finite element procedure. The results indicated that high<br />

values of electromechanical fields cause the localized polarization switching near the electrode<br />

tip, and the strain vs electric field curves show the non-linear behavior. Also, the<br />

size of the switching zone in the piezoelectric composites increased with increasing electric<br />

fields. As a remark, we note that this study may be useful in designing advanced piezoelectric<br />

composite actuators.

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