The relation between the equations of linear piezoelectricity and the more general nonlinear electroelastic equations is discussed. The influence of nonlinear deformation theory and rotational invariance is noted. The linear equations for small dynamic fields superposed on a static bias are presented. An equation for the perturbation of the eigenvalue of the piezoelectric solution due to a bias is exhibited. Some applications of the perturbation equation are given.
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H. F. Tiersten (1981) studied this question.