Piezoelectric Responses of Crystals in the Elastic-Plastic Range

1 Piezoelectric Responses of Crystals in the Elastic-Plastic Range 

The linear piezoelectric tensor relating polarization and stress in x-cut quartz is 

In the present case only the component of polarization on an electrode 

100 Chapter 5. Physical Properties Under Elastic-Plastic Compression PIus-a Orientation 

In the plus-x orientation, the region behind the plastic wave is treated as a conductor. Accordingly, in the electrical model, the left electrode is moving with the velocity of the plastic wave. Otherwise, the analysis proceeds as in the case of the elastic-dielectric. For convenience it is assumed that 3 = 2 = i. The thicknesses of the two dielectric regions are = I and I2 — ([/, — U2)t. Solution for the current is then 

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