Nonlinear differential equations and boundary conditions in small-field variables, for small fields superposed on large static biasing stages, are obtained from general invariant nonlinear electroelastic equations. The influence of a prestress (six independent tensor coefficients) on Surface Acoustic Waves (SAW) velocity is analyzed. The biasing stress tensor is involved directly into equations of motion, and the linearization about the static state is done. Change of the mass density as well as the effective elastic constants of the piezoelectric substrate as a consequence of a prestress is taken into account. Numerical results, given SAW velocity on the prestressed substrate for different direction of stress and wave propagation are obtained for lithium niobate. Developed theory and numerical program may be useful in analyzing and designing SAW sensors of temperature, pressure, acceleration or force.
Gafka et al. (Wed,) studied this question.