Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites (Q1210606)

The dilute, self-consistent, Mori-Tanaka [\textit{T. Mori} and \textit{K. Tanaka}, Acta Metall. 21, 571-574 (1973)] and differential micromechanics theories are extended to consider the coupled electroelastic behavior of piezoelectric composite materials. The application of each theory is based on Deeg's (1980, unpublished) rigorous three-dimensional electroeleastic solution of an ellipsoidal inclusion in an infinite piezoelectric medium. Each micromechanics theory is implemented through a matrix formulation in which the effective electroelastic moduli are conveniently represented by a \(9\times9\) matrix. As in the corresponding uncoupled elastic and electric behavior, the dilute and Mori-Tanaka schemes return explicit estimates for the effective electroelastic moduli.