In PZT manufacturer's datasheet, it is often found that they only provide part of the complete piezo properties.

For example:

1. Elasticity matrix. The piezo datasheets only provide Y_33 and Y_31

2. Piezo charge constant, only providing d_33 and d_31

3. Relative permittivity, only providing eps_33

Since typical FEA software, i.e. COMSOL, asks for these property matrices to be filled, what is the best way to fill up the missing matrix elements? Maybe for standard piezo (such as PZT-4, PZT-5A, etc) we can use the standard property, but what if the piezo is non-standard?

I also think that, especially, the elasticity matrix will affect the resonance property of the piezo transducer. Is it correct?

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