Effective properties of piezoelectric ceramic embedded with radially polarized nano-fibers under electromechanical loading

Based on the electro-elastic surface/interface theory, the size-dependent effective elastic properties of piezoelectric ceramic embedded with radially polarized nano-fibers are addressed, and the surface/interface effect is considered. Electroelastic equations for radially polarized piezoelectric ceramic are established. The analytical solutions of elastic displacement and electric potentials are exactly derived by separating variables method. The effective elastic modulus in the dilute limit is obtained by satisfying the boundary conditions with consideration of surface/interface energy. Analyses show that the effective elastic properties can be enhanced (or reduced) by adjusting the material properties of surface/interface.