The Wave Equation for Piezoelectric Materials

From the piezoelectric constitutive relations it is a sinqile matter to derive the wave equation for piezoelectric media. The piezoelectric wave equation is typi- 

Application of the equation of motion (Equation 2.6) to Equation 2.24 yields 

The effect of coupling between displacement and potential in piezoelectric plane waves can best be illustrated by an example. 

Example 2.7 Consider the propagation of a z-polarized, x-propagating shear wave in a ZnO crystal. Write the equationfs) describing the electric field. 

Solution Using the appropriate elastic and piezoelectric matrices. Equations 2.28 and 2.29 lead to 

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