Propagation of surface waves in a prestressed piezoelectric material
Journal
Journal of the Acoustical Society of America
Journal Volume
100
Journal Issue
4 pt 1
Pages
2112-2122
Date Issued
1996
Author(s)
Abstract
In this paper, the Lothe-Barnett's integral formalism is extended to solve the surface wave problem of a prestressed piezoelectric material. By using the electroacoustoelasticity, the effective material constants and the mass density in the prestressed initial state are determined, and then the surface wave velocities of a prestressed piezoelectric crystal can be obtained by the integral formalism. Under some limitations, the properties of the integral matrices derived in the Lothe-Barnett's integral formalism are shown to be valid for the prestressed piezoelectric crystal. A computer program is implemented to calculate the surface wave velocities of a prestressed X-cut lithium niobate (LiNbO3) crystal. Finally, a possible application of the electroacoustoelastic effect to the design of a delay- controllable delay line is proposed. The surface wave excited in a prestressed piezoelectric crystal is studied. The governing equations of the incremental displacements and the incremental electric potential due to the wave perturbation are derived by the electroacoustoelasticity, and are linearized to have the same form as the linear wave equations. Together with the traction free and electrically closed or open boundary conditions, the surface wave velocities are determined by using the integral formalism. The electroacoustoelasticity and the integral formalism are introduced briefly, and then the integral formalism is extended to solve the surface wave problem for a prestressed piezoelectric crystal. In order to apply the integral formalism, some constraints, needed to be satisfied in the prestressed initial state, are derived. Under these limitations, the properties of the integral matrices derived in the Lothe-Barnett integral formalism are shown to be valid for the prestressed piezoelectric crystal. A numerical implementation is followed, and the surface wave velocities of a prestressed X-cut lithium niobate (LiNbO3) crystal are determined. Finally, the electroacoustoelastic effect is applied to design a delay-controllable delay line by an external uniaxial loading system.
Type
journal article