Nonlinear Electroelastic Equations for Small Fields Superposed on a Bias.
RENSSELAER POLYTECHNIC INST TROY N Y MECHANICS DIV
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The nonlinear differential equations and boundary conditions in small field variables, for small fields superposed on large static biasing states, are obtained from general rotationally invariant nonlinear electroelastic equations derived previously. The small field equations are directly applicable in the consistent description of parametric effects in high coupling piezoelectric materials in terms of the fundamental material parameters. The application of the equations to homogeneously polarized ferroelectrics reveals that in the linear limit the electroelastic equations are identical with the equations of linear piezoelectricity for the symmetry of the polarized state. The influence of a thickness directed homogeneous biasing electric field on the thickness vibrations of a piezoelectric plate, to second order in the biasing field, has been determined. Author
- Electricity and Magnetism
- Solid State Physics