Extension of the Landau theory for hysteretic electric dynamics in ferroelectric ceramics
- 117 Downloads
In this paper, a macroscopic differential model for the nonlinear dynamics of the electric field in ferroelectric ceramics is developed on the basis of polarization switching theory. In a one-dimensional description, dynamics with hysteresis caused by polarization switching is modelled by using the Landau theory of phase transitions for single-crystal cases. For ferroelectric ceramics, the orientation of the principal axis of grains is assumed to have a certain distribution. The overall dynamics is determined by making a weighted combination of the dynamics of each grain. The weight function for the combination is taken phenomenologically based on experimental observations. It is shown that experimental hysteresis can be reproduced by the macroscopic differential model precisely.
KeywordsHysteresis Polarization switching Polycrystals Landau theory Macroscopic model
- 1.G.S. Kino, Acoustic Waves, Devices, Imaging & Analog Signal Processing (Prentice-Hall Inc., New Jersey, 1987)Google Scholar
- 2.M. Willatzen, Ultrasound transducer modeling: general theory and applications to ultrasound reciprocal systems. IEEE Trans. UFFC 48, 100–112 (2001)Google Scholar
- 5.L.X. Wang, M. Willatzen, Modelling of nonlinear response for reciprocal transducers involving polarization switching. IEEE Trans. UFFC 54(1), 177–189 (2007)Google Scholar