The band structures of guided waves in periodically piezoelectric composite plate with a mirror plane (Conference Presentation)

Abstract

Piezoelectric materials provide a flexible way to control effective material properties in both space and time domain. In this work, the band structures of guided waves in a periodically piezoelectric composite plate with a mirror plane in thickness direction are studied by using the supercell plane wave expansion method. The symmetric and anti-symmetric Lamb modes are uncoupled and can be separated because of the symmetry of geometry and material properties. The guided waves including symmetric Lamb modes, anti-symmetric Lamb modes and shear horizontal modes are calculated, respectively. Results show that the band structure for each mode can be changed drastically by the position and material properties of the scatterers. Moreover, the material properties modulated by periodical piecewise structure in both space and time domain are discussed to investigate one-way wave propagation in such spatiotemporal phononic crystal waveguides theoretically. After the calculation by using finite element method, the displacement fields are conducted by two-dimensional Fourier transform to obtain numerical dispersion curves, which shows excellent agreement with theoretical results. This work provides a powerful tool to analyze the guided waves with complex modes in piezoelectric phononic crystal plate, and it has extensive potential applications in engineering structure design for modulating wave propagation.