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Table 4 Material properties of PZT-4 and PZT-5 [6]

From: Static and natural frequency investigation of FGP beams considering thermal effects and design parameters

Property

Pzt-4

Pzt-5

\(Q_{11}\)

\(81.3\,GPa\)

\(60.6\,GPa\)

\(Q_{55}\)

\(25.6\,GPa\)

\(23\,GPa\)

\(d_{31}\)

\(- 123 \times 10^{ - 12} \,\,\,\,\frac{C}{N}\)

\(- 274 \times 10^{ - 12} \,\,\,\,\frac{C}{N}\)

\(d_{15}\)

\(496 \times 10^{ - 12} \,\,\,\,\frac{C}{N}\)

\(741 \times 10^{ - 12} \,\,\,\,\frac{C}{N}\)

\(\xi^{T}_{33}\)

\(1300\,\varepsilon_{0}\)

\(3400\,\varepsilon_{0}\)

\(\xi^{T}_{11}\)

\(1470\,\varepsilon_{0}\)

\(3130\,\varepsilon_{0}\)

\(p_{3}\)

\(2.5 \times 10^{ - 5} \,\,\,\,\frac{C}{{m^{2} K}}\)

\(0.548 \times 10^{ - 5} \,\,\,\,\frac{C}{{m^{2} K}}\)

\(\rho\)

\(7500\,Kg.m^{ - 3}\)

\(7500\,Kg.m^{ - 3}\)

\(\varepsilon_{0}\)

\(8.85 \times 10^{ - 12} \,\,\,\,\frac{{C^{2} }}{{m^{2} N}}\)

\(8.85 \times 10^{ - 12} \,\,\,\,\frac{{C^{2} }}{{m^{2} N}}\)