Effect of electric field on electromechanical response of a functionally gradedpiezoelectric material hollow cylinder

In this study, a general solution is developed to obtain the e ect of nonaxisymmetric electric potential on a functionally graded piezoelectric material (FGPM) hollow cylinder. The material properties along the thickness of the cylinder are assumed to vary with the power law function. The solution technique is based on the complex Fourier series, and by using the separation of variables method the Navier equation is solved and the exact solutions for electric displacements and stresses in the FGPM hollow cylinder are obtained. Moreover, the e ects of electric potential on the stresses and displacements of the FGPM hollow cylinder are investigated. The results show that with the speci c electric potential, the mechanical and electrical properties of the FGPM hollow cylinder can be controlled.