One Dimensional, Linear Dynamic Electromechanical Responses of Ferroelectric Ceramics

Abstract

In this paper we consider the coupled electromechanical responses of poled ferroelectric ceramics. Our considerations are linear as well as one dimensional. The constitutive relations which characterize the stress and the electric field in terms of the strain and the electric displacement reflect the fact that the responses of such a material are time dependent. These time dependent processes arise principally because domain switching, due to mechanical loadings and the application of external electric fields, does not occur instantaneously as well as due to other mechanical and electrical relaxation effects. We then formulate the boundary-initial value problems which correspond to the voltage mode, finite resistance, and pulse poling and depoling experiments. These problems are solved using Laplace transform technique, and numerical inversions of the transform solutions are obtained by utilizing the method outlined by Luke and Salzer.