Modelling of hysteretic behaviour of piezoceramic materials under external electrical and mechanical stress

Abstract

Abstract

The purpose of this study is to model the non-linear hysteretic behaviour of piezoceramic materials under an external (mechanical or electrical) stress. The model is constructed by bridging the characteristics of microscopic domain distribution into the macroscopic behaviour. Choosing the remanent strain and remanent polarisation as internal variables, a domain orientation distribution is used to describe the evolution of these variables and to develop a phenomenological model of ferroelasticity for electromechanical loading histories. This model is able to reproduce the (longitudinal and transversal) strain and electric displacement in function of uniaxial electrical and mechanical loading. This formulation is validated through a comparison with experimental data of the literature. The evolution of the elastic and piezoelectric constants under mechanical stress is successfully compared as well.

Keywords:

• Hysteretic behaviour
• Domain switching
• Piezoceramic
• Ferroelastic
• External electrical and mechanical stress

The authors wish to thank Guillaume Robin for his help as well as Erling Ringaard who made significant suggestions in order to improve this model.

Notes

This paper is part of a special issue on Piezoelectric Materials for End Users