Hf. Tiersten, ELECTROELASTIC EQUATIONS FOR ELECTRODED THIN PLATES SUBJECT TO LARGE DRIVING VOLTAGES, Journal of applied physics, 74(5), 1993, pp. 3389-3393
Existing rotationally invariant electroelastic equations are reduced t
o the case of large electric fields and small strain. These latter equ
ations are specialized to the case of thin plates with completely elec
troded major surfaces, and it is shown that in this case the charge eq
uation of electrostatics is satisfied trivially to lowest order. It is
further shown that for the thin stress-free polarized ferroelectric c
eramic plate subject to large electric fields, the resulting equations
readily account for experimental data in existence in the literature.