Elastic analysis of rotating piezoelectric composite cylinder

An elasticity solution was developed for the rotating infinite double-layered cylinder composed of an isotropic elastic core and a piezoelectric layer. The electric displacement expression including an undetermined constant of the piezoelectric layer was first obtained by virtue of the charge equation of electrostatics. Then the general solutions for the isotropic elastic core and the piezoelectric layer were derived respectively. All the unknown constants were determined by means of the boundary conditions and the continuity conditions and the analytical solution was finally obtained. The numerical results denote that if both the interior and exterior surfaces of the piezoelectric layer are electrically shorted，the amplitude of the radial stress in the piezoelectric layer grows gradually with the increase of Young modulus of the elastic core and that of the tangential stress is just the contrary. Poisson ratio of the elastic core and the amplitude of electric potential applied to the piezoelectric layer have important effects on the stress responses.