Generalized self-consistent electroelastic estimation of piezoelectric nanocomposites accounting for fiber section shape under antiplane shear

Abstract

Amicromechanicsmodel composed of a three-phase confocal elliptical cylinder of the nanocompositeswith interface effect is proposed.Ageneralized self-consistent method for the piezoelectric nanocomposites accounting for fiber section shape under far-field mechanical–electrical loads is presented based on the model. By using the theory of Gurtin–Murdoch surface/interface and the conformal mapping technique, a closedform solution of the effective electroelastic constants is obtained. The present solution can be degenerated into the existing solution. The results show that the effective electroelastic constants are dramatically size dependent when the size of the fiber is on the order of nanometers. The effective electroelastic constants decrease monotonically with the fiber section aspect ratio \({\gamma}\) increasing from 0 to 1. The elastic constant and dielectric constant obtained by the present solution are very similar to the results obtained by the classical electroelastic theory, whereas the piezoelectric coupling constant obtained by the present solution is very different from the results obtained by the classical electroelastic theory.