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A polycrystal hysteresis model based on the Landau theory for ferroelectric ceramics

A. HAJJAJI1,2,* , M. RGUITI1, C. COURTOIS1, Y. BOUGHALEB3, S. DASTORG1, D. KOBOR1, A. LERICHE1

Affiliation

  1. Laboratoire des Matériaux Céramiques et procédés associés Université de Lille Nord de France, EA 2443, UVHC, PECMA, Z.I. Champ de l’Abbesse, 59600 Maubeuge, France
  2. Ecole Nationale des Sciences Appliquées d’El Jadida, B.P 1166, EL Jadida, Morocco
  3. Université Université Chouaib Doukkali, Faculté des sciences, 24000 El-Jadida, Morocco

Abstract

Most key elements of ferroelectric properties are defined through the hysteresis loops. For polycrystalline ceramics, each grain exhibits a specific loop and contributes to the ferroelectric ceramic’s one. The resulting hysteresis loop is influenced both by the frequency and temperature. In this paper, we propose a polycrystal hysteresis model describing the hysteresis in ferroelectric materials as a function of the temperature and frequency. This model, based on the Landau phenomenological thermodynamic potential theory, allows determining the behaviors of ceramics. This theory differs from the classical phenomenological ones : it is a macroscopic -based thermodynamic approach and it can provide the evolution of polarization state, and other coefficients as a function of electric field, temperature and frequency simultaneously. The proposed model is developed, discussed, and compared with experimental piezoelectric characterizations on a PZT based piezoelectric transducer ceramic. Hysteresis loop comparisons between modeling and experimental data are given and are shown to be in good agreement with the polarization versus electric field and temperature. It is interesting to note that the model developed in this paper could also predict the dielectric constant (ε33) as a function of the electric field using a simple P(E) measurement..

Keywords

Hysteresis model, Polycrystal, Landau phenomenological theory.

Submitted at: March 15, 2011
Accepted at: March 16, 2011

Citation

A. HAJJAJI, M. RGUITI, C. COURTOIS, Y. BOUGHALEB, S. DASTORG, D. KOBOR, A. LERICHE, A polycrystal hysteresis model based on the Landau theory for ferroelectric ceramics, Journal of Optoelectronics and Advanced Materials Vol. 13, Iss. 3, pp. 313-318 (2011)