Thermoelastic solution for static deformations of functionally graded cylindrical shell bonded to thin piezoelectric layers

We study infinitesimal axisymmetric deformations of a functionally graded shell with piezoelectric layers perfectly bonded to its inner and outer surfaces, and the hybrid structure subjected to thermo-electro-mechanical loads. The material properties of the shell are assumed to be graded in the radial direction according to a power law but Poisson’s ratio is assumed to be constant. For simply-supported and grounded edges kept at a constant temperature, the problem is analyzed analytically by assuming a Navier type solution for the governing equations and the state space method for solving the resulting ordinary differential equations. Numerical results are given to illuminate influences of the mechanical and the electrical boundary conditions, the exponent of the power law variation, and the radius to thickness ratio.