BEM Analysis of Time-Harmonic Vibrations of Three-Dimensional Piezoelectric Solids

摘要

Time-harmonic vibration analyses are important for the efficient designs of high-performance piezoelectric devices, such as surface acoustic wave (SAW) devices. Although the boundary element method has been applied to 2D time-harmonic vibration analyses for solids of fully anisotropic and piezoelectric media [1], that for 3D solids with fully anisotropic material constants, based on the exact fundamental solution, has not been applied so far due to the complicated expression of the fundamental solution and the heavy computation costs in evaluating the dynamic fundamental solution. Only the results based on the static fundamental solution can be observed [2,3] in the reference. In this paper, we derive a fundamental solution of 3D time-harmonic vibration for piezoelectric solid with fully anisotropic material constants following Wang and Achenbach [4], and Norris [5]. As in the corresponding fundamental solution for fully anisotropic solids, the fundamental solution for the present problem comprises its singular part[4] and the regular part.