Modélisation tri-dimensionnelle d'un disque céramique piézoélectrique chargé sur ses grandes faces

Abstract
This paper is devoted to the modelling of a piezoceramic disk loaded on its major surfaces by acoustic impedances denoted Z_a and Z_b respectively and using a three-dimensional approach. The stress, stain components and the displacements along the radius and the disk thickness are determined which allows the calculation of the electric impedance of the loaded disk and the related electromechanical coupling factors. It is shown that, due to lateral couplings, the resonance peak width of the 3D modelling is larger than that obtained for 1D models. Furthemore, due also to lateral couplings, there is no nodal plane inside the disk. It becomes a zero-phase plane that is, the displacements corresponding to this plane is minimal and the difference in phase related to the applied voltage is zero. This result is consistent with the previous finite element simulations.