12F-5 Transmission of Acoustic Plane Waves through Multilayered Piezoelectric Plates

Developed by Tan in the case of anisotropic elastic multilayered materials, the recursive hybrid compliance-stiffness matrix method is here extended to the of plane wave propagation in multilayered piezoelectric media. Based on the Stroh formalism, the hybrid matrix of each layer is determined from the eigen-solutions of the system matrix. A recursive algorithm is then employed to deduce the global hybrid matrix of the multilayer structure. It allows the transmission coefficients of plane waves propagating through an immersed plate to be computed. To be consistent with the literature, they are expressed through the admittance matrix. A specific application is made on the modeling of a partial depoling of a PZT ceramic plate leading to a bi-layered poled/unpoled piezoelectric structure.