Elasticity solution for an FGM cylindrical panel integrated with piezoelectric layers

The three-dimensional elasticity solution for static analysis of a functionally graded material (FGM) cylindrical panel with simply supported edges is developed. The modulus of elasticity varies continuously throughout the thickness direction in the form of an exponential function. The panel is bonded with piezoelectric layers. Using Fourier series expansions in the axial and circumferential directions, the state equations are derived. The stress, displacement and electric potential distributions are obtained by solving these state equations. The influences of the material gradient index, applied voltage, and radius to thickness ratio on the static behavior of FGM shell are also studied.