Exact solution of an FGM cylindrical panel integrated with sensor and actuator layers under thermomechanical load

This paper presents an exact solution of a functionally graded material (FGM) cylindrical panel embedded in piezoelectric layers under thermo-electro-mechanical loads. The hybrid structure is simply supported at the edges and the material properties of the FGM panel are assumed to be graded in the radial direction according to a power law with the Poisson’s ratio assumed to be constant. Using Fourier series expansions in the axial and circumferential directions, the state equations are derived. The stress, displacement and electric potential distributions across the thickness are obtained by solving analytically the state equations. To validate the accuracy of the present approach, numerical results are presented and compared with the results available in the open literature. The influences of the material gradient index, applied voltage, temperature gradient and radius to thickness ratio on the static behavior of the hybrid panel are also studied.