Journal of Electroceramics

, Volume 24, Issue 1, pp 51–57 | Cite as

Extension of the Landau theory for hysteretic electric dynamics in ferroelectric ceramics



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.


Hysteresis Polarization switching Polycrystals Landau theory Macroscopic model 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Mads Clausen Institute, Faculty of EngineeringUniversity of Southern DenmarkSønderborgDenmark
  2. 2.Faculty of Mechanical EngineeringHangzhou Dianzi UniversityHangzhouPeople’s Republic of China

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