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Developments in Ceramic Materials Research

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228<br />

R. Ramesh, H. Kara, Ron Stevens and C. R. Bowen<br />

of a foam- reticulated piezocomposite sample shown <strong>in</strong> the figure. The complete 3-D model<br />

along with the surround<strong>in</strong>g fluid medium is shown <strong>in</strong> Figure 5. One fourth of the geometry is<br />

modelled due to symmetry and the plane of symmetry boundary conditions are applied on the<br />

xz and yz planes. Although 1/8 th model could save considerable comput<strong>in</strong>g time, the nonsymmetry<br />

of the electric potential along the z-axis does not allow such a possibility <strong>in</strong> the<br />

present model. The ceramic volume fraction of the piezocomposite disc is taken as 22%. The<br />

receiv<strong>in</strong>g sensitivity and electrical impedance are evaluated <strong>in</strong> two successive analyses<br />

impos<strong>in</strong>g appropriate boundary conditions. The boundary conditions are same as those of the<br />

dense PZT hydrophone expla<strong>in</strong>ed <strong>in</strong> the previous section. The material parameters used <strong>in</strong> the<br />

model analysis are given <strong>in</strong> Table 1.<br />

Table 1. Material parameters used <strong>in</strong> the model calculations. Data for PZT5H are taken<br />

from Ref. [42] and typical values are taken for other materials<br />

Parameter Value<br />

I. PZT5H<br />

Elastic coefficients (10 10 Nm -2 )<br />

D<br />

c11 D<br />

c12 D<br />

c13 D<br />

c33 D<br />

c44 D<br />

c66 Piezoelectric coefficients (10 9 Vm -1 )<br />

h 31<br />

h 33<br />

h<br />

15<br />

13.03<br />

8.33<br />

7.33<br />

15.89<br />

4.22<br />

2.4<br />

-0.5<br />

1.8<br />

1.13<br />

Density (kgm -3 ) 7500<br />

Dielectric constant 1470<br />

II. Electrode<br />

Density (kgm -3 ) 8250<br />

Young’s modulus (GPa) 110<br />

Poisson’s ratio 3.4<br />

III. Encapsulation<br />

Density (kgm -3 ) 940<br />

Young’s modulus (MPa) 2.0<br />

Poisson’s ratio 0.45<br />

IV. Water<br />

Density (kgm -3 ) 1000<br />

Velocity of sound (ms -1 ) 1460

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