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Composite Materials Research Progress

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264 Yasuhide Shindo and Fumio Narita<br />

Strain,� zz (�10 -6 )<br />

200<br />

100<br />

0<br />

-100<br />

-200<br />

L = 30 m m<br />

W = 10 m m<br />

4h = 20 m m<br />

a = 20 m m<br />

Test<br />

FEA<br />

x = 5.0 m m<br />

y = 5.0 m m<br />

z = 0.8 m m<br />

W ork<br />

Energy density<br />

-0.3 -0.2 -0.1 0 0.1 0.2<br />

Electric field, E0 (M V/m )<br />

Figure 2. Strain versus electric field for laminated actuator.<br />

E = -0.34 M V/m<br />

0<br />

W ork<br />

Energy density<br />

Poling<br />

o<br />

90 switching<br />

o<br />

180 switching<br />

Figure 3. Polarization switching zone induced by electric field for laminated actuator.<br />

Fig. 3 shows the 180 ◦ and 90 ◦ switching zones near the electrode tip of the actuator under<br />

E0 = −0.34 MV/m. Predictions by different criteria are presented. 90 ◦ switching zone<br />

based on energy density are larger than that based on work. Fig. 4 displays the distribution<br />

of the normal component of stress σzz as a function of x at y =0mm and z =0, 1 and<br />

9 mm for laminated actuator with L = 30 mm, W = 10 mm, 4h =20mm and a =20<br />

mm under E0 =0.2 MV/m from the finite element analysis. The solid line represents the

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