Interface energy effect on electromechanical behavior of N piezoelectric cylindrical nano-inclusions in piezoelectric matrix

Abstract

• The electro-elastic surface/interface theory for N piezoelectric cylindrical nano-inclusions is constructed. • The Taylor series transform is introduced to analyze the interacting effect of interface energy between the inclusions. • The effect of interface factors on the stress and electric displacement is discussed in detail. • Some important methods for improving the serving behaviors of piezoelectric nano-structures are proposed. Based on the electro-elastic surface/interface theory for nano-scale piezoelectric composites, the interface energy effect on the stress and electric displacement around N piezoelectric cylindrical nano-inclusions in piezoelectric matrix is investigated, and the matrix is subjected to an anti-plane shear stress and an in-plane electric field at infinity. Combining the complex variable method and stroth's formalism, the general solutions for the complex potentials in the piezoelectric matrix and inside the nano-inclusions are derived by using power series. To consider the interacting effect of interface energy between the nano-inclusions, the transform of Taylor series is introduced. A special case of two piezoelectric nano-inclusions is illustrated. Analyses show that the interaction between the interfaces of nano-inclusions exhibits significant effects on the electromechanical response. The elastic, piezoelectric and dielectric factors of interfaces express different effects on the distribution of electromechanical fields.