Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A thermodynamically consistent formulation for transversely isotropic nonlinear ferroelectric hysteresis

H. Romanowski*, J. Schröder
Institute of Mechanics, University of Duisburg-Essen, Campus Essen, Department of Civil Engineering, 45117 Essen, Germany

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In this investigation we discuss a thermodynamic consistent model for an assumed transversely isotropic ferroelectric crystal. Due to the ferroelectric phase transition, that occurs at the so-called electric coercive field, we observe, within a certain range of temperature and under applied oscillating electric fields, two leading hysteresis effects. These are the polarization-electric-field and the strain-electric-field (butterfly) hysteresis loop. The main goal of this paper is to capture these fundamental characteristics of such ceramics.

Keywords:  Butterfly-hysteresis; Ferroelectric; Invariant-formulation; Polarization

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