Modeling of hysteretic behavior in ferroelectric polymers

Abstract

Controlling the polarization state of ferroelectric materials, and more particularly piezoelectric polymers, is critical to ensure good operation of actuators or sensors using such energy conversion mechanisms. More specifically, the modeling and prediction of the hysteretic behavior of such materials is a critical aspect for the fabrication of robust and accurate devices. The purpose of this article is to present a model based on mathematical functions describing hysteretic behavior as a sum of elementary polarizations arising from combined avalanche and saturation physical effects. Predicted responses show good agreement with experimental measurements, and extension of the model for taking into account electric field-induced crystallization during operations is presented. Finally, the proposed model is simple to implement and does no require heavy computational and memory requirements, as it relies on pure mathematical functions and only requires unidimensional distribution of elementary polarizations.

Hybrid hysteresis modeling and inverse model compensation of piezoelectric actuators

“…Particularly, piezoelectric actuators attract a lot of attentions in a widespread application of sensing, actuating, multi-DOFs positioning and energy harvesting in both scientific researches and industrial application, due to the advantages of their nano-positioning ability, high electromechanical coupling factor, high actuating force and high response speed. However, the nonlinear hysteretic effect [7][8][9][10], creep [11,12] and degradation [13,14] problems of piezoelectric materials still remain their challenges in applications. Among these problems, the significant hysteretic effect is of primary importance, which can cause inaccuracy in system responses even lead to instability of the closed-loop control system with piezoelectric actuators [15,16].…”