Scattering of Flexural Waves by a Circular Hole Near the Interface in a Semi-Infinite Piezoelectric Thin Plate

The purpose of this paper is to evaluate the scattering of flexural waves by a circular hole in a semi-infinite piezoelectric thin plate subjected to electric filed loading. A solution for the applied electric field in the thickness direction of the piezoelectric thin plate is developed. The mechanical model and solutions for the dynamic analysis of the piezoelectric plate with a circular hole are then established based on the Kirchhoff's thin plate assumption and linear piezoelectric dynamics theory. The dynamic moment concentration factor (DMCF) at different incident angles and incident wave frequencies are given in the numerical calculation. The numerical results show that the peaks of the circular hole's DMCFs appear at θ=π/2 and θ=3π/2. In the region of low-frequency, the DMCFs of the circular hole is insensitive to the different incident angles and the DMCFs is larger, but it is the opposite in the high-frequency region.