Size-dependent effects on electromechanical response of multilayer piezoelectric nano-cylinder under electro-elastic waves

Using the electro-elastic surface/interface model for nano-sized structures, an analytical model is proposed to investigate the dynamic electromechanical response of a multilayer piezoelectric nano-cylinder subjected to electro-elastic waves, and the interface energy effect on the stress and electric field is considered. To express the electro-elastic coupling field, the wave function expansion method is introduced. At the interface of each layer, the boundary conditions with consideration of interface energy are given. Some examples of a nano-cylinder with two or three layers are given to show the distribution of internal stress and electric field around the nano-cylinder under different surface/interface effects. It is found that softer surfaces/interfaces at the outermost layer are preferable to reduce the jump of dynamic stress. The effects of thickness and numbers of piezoelectric layers on the dynamic stress and electric field are also examined.