Aspects of the simulation of the ferroelectric hysteresis |
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Authors: | H Romanowski J Schröder |
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Institution: | Universität Duisburg-Essen, Fachbereich Bauwissenschaften, Institut für Mechanik, Universitätsstr. 15, D-45117 Essen |
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Abstract: | In this paper we present a thermodynamically consistent phenomenological model for an assumed transversely isotropic ferroelectric crystal. Such materials become spontaneously polarized within a certain range of temperature. On the macro scale a remanent polarization and remanent strains, due to the reorientation of the polarization vectors, are observed, if an electric field above the so-called coercive field is applied. The goal of this work is to construct a thermodynamically consistent formulation of the electro-mechanically coupled ceramic on a meso scale, that takes into account the orientation of the assumed transversely isotropic unit cell, see 4]. The anisotropic behavior is governed by isotropic tensor functions, which are formulated in terms of a finite set of invariants, see 3]. Considering a simple model problem we discuss the linearization of discrete weak forms, resulting from the electromechanical boundary value problem. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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