Analysis of piezoelectric laminated plates using the layerwise plate theory and radial basis function collocation method

In this paper, a new formulation of piezoelectric laminated plates based on the linear piezoelectricity theory and the layerwise theory is developed. The linear piezoelectricity theory focuses on the coupling between mechanical deformations and the charge equations of electrostatics. The layerwise theory is used for the mechanical displacement field and the potential function. The equations of motion and boundary conditions are developed using an energy principle. A meshless collocation method based on the radial basis function is used to discrete the system equations. The proposed approach is good in that it can reflect the laminar stress effect, produce exactly electromechanical behaviors and accommodate multiple voltage inputs or outputs. Numerical examples verify the validity and precision of the proposed method.