2D Electroelastic Analysis of thick Piezoelectric Cylinders Using First-Order Shear Deformation Theory and First-Order Electric Potential Theory

Sensors and actuators have a special place in today's science and industry world. Therefore, electromechanical analysis of piezoelectric materials is one of the topics of interest for researchers so that besides understanding the behavior of piezoelectric structures by optimizing this behavior, they could pave the road of designing and producing structures. In this study, using the first-order shear deformation theory, the first-order electrical potential theory and the application of the energy method, the governing equations are extracted for thick cylinders subjected to mechanical and electrical loading at their internal and external surfaces under various boundary conditions in two cylinder’s heads. Then an analytical solution is presented for the governing equations and using this solution, the results of electromechanical behavior of the cylinders under different boundary conditions in two cylinder’s heads are estimated and evaluated, and compared with the finite element method (FEM) results. The analytical solution in this research is not a series solution, and there is no need to investigate the convergence and also, it is of less computational volume. The obtained results from the analytical method and FEM have a good agreement, which showed the presented analytical solution can be used with higher accuracy.