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Composite Materials Research Progress

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Eletromechanical Field Concentrations and Polarization Switching... 267<br />

" # $ %" #<br />

Figure 7. A piezoelectric disk composite actuator.<br />

4.2. Numerical Results and Discussion<br />

We consider C-91 + /C-91 − and C-91 + /C-91 + with c =10mm and 2h =2mm, corresponding<br />

to the tension and bending actuator models, respectively. The superscripts − and<br />

+ denote, respectively, the situations for negative and positive poling directions.<br />

Plotted in Fig. 8 are the numerical values of radial strain εrr near the circular internal<br />

electrode tip (r =9mm and z =0.2 mm) as a function of electric field E0 = V0/h for<br />

Strain,� rr (�10 -6 )<br />

60<br />

40<br />

20<br />

0<br />

C-91 + /C-91 +<br />

c= 10 m m<br />

2h = 2 m m<br />

b = 8 m m FEA<br />

W ork<br />

Energy density<br />

-0.2 0 0.2<br />

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

!<br />

r= 9 m m<br />

z= 0.2 m m<br />

Figure 8. Strain versus electric field for disk composite tension actuator.

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