TABLE OF CONTENTS Material constants for a few common piezoelectrics are summarized below. Numerical results given in this book are calculated from these constants.
Permittivity of free space ? 0=8.854 10 ?12F/m.
The material matrices for PZT-5H are [130]
For PZT-5H, an equivalent set of material constants are [130]
When poling is along other directions, the material matrices can be obtained by tensor transformations. For PZT-5H, when poling is along the x 1-axis, we have
When poling is along the x 2-axis,
For PZT-G1195
Material constants of a few other polarized ceramics are given in the following tables [131]:
| Material | c 11 | c 12 | c 13 | c 33 | c 44 | c 66 |
|---|---|---|---|---|---|---|
| PZT-4 | 13.9 | 7.78 | 7.40 | 11.5 | 2.56 | 3.06 |
| PZT-5A | 12.1 | 7.59 | 7.54 | 11.1 | 2.11 | 2.26 |
| PZT-6B | 16.8 | 8.47 | 8.42 | 16.3 | 3.55 | 4.17 |
| PZT-5H | 12.6 | 7.91 | 8.39 | 11.7 | 2.30 | 2.35 |
| PZT-7A | 14.8 | 7.61 | 8.13 | 13.1 | 2.53 | 3.60 |
| PZT-8 | 13.7 | 6.99 | 7.11 | 12.3 | 3.13 | 3.36 |
| BaTiO 3 | 15.0 | 6.53 | 6.62 | 14.6 | 4.39 | 4.24 |
| 10 10N/m 2 |
| Material | e 31 | e 33 | e 15 | ? 11 | ? 33 |
|---|---|---|---|---|---|
| PZT-4 | ?5.2 | 15.1 | 12.7 | 0.646 | 0.562 |
| PZT-5A | ?5.4 | 15.8 | 12.3 | 0.811 | 0.735 |
| PZT-6B | ?0.9 | 7.1 | 4.6 | 0.360 | 0.342 |
| PZT-5H | ?6.5 | 23.3 | 17.0 | 1.505 | 1.302 |
| PZT-7A | ?2.1 | 9.5 | 9.2 | 0.407 | 0.208 |
| PZT-8 | ?4.0 | 13.2 | 10.4 | 0.797 | 0.514 |
| BaTiO 3 | ?4.3 | 17.5 | 11.4 | 0.987 | 1.116 |
| C/m 2 | 10 ? 8 C/Vm |
| Density | PZT-5H | PZT-5A | PZT-6B | PZT-4 |
|---|---|---|---|---|
| kg/m 3 | 7500 | 7750 | 7550 | 7500 |
| Density |
|---|
