Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

In the present study, a layerwise finite element method is utilized to solve the coupled elasticity and piezoelectricity equations to study a functionally graded shell panel integrated with piezoelectric layers under electromechanical loading. The system of equations is reduced to ordinary differential equations with variable coefficients by means of trigonometric function expansion in circumferential and longitudinal directions satisfying mechanical and electrical boundary conditions. These equations are solved using the Galerkin FEM and Newmark method. The results of stress, displacement and electrical potential are presented and the effect of panel thickness and applied voltage on the structural behavior is investigated.