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Interpretation of parameters in phase field models for ferroelectrics
Author(s) -
Schrade D.,
Müller R.,
Gross D.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810527
Subject(s) - interpretability , interpretation (philosophy) , polarization (electrochemistry) , finite element method , ferroelectricity , statistical physics , nonlinear system , field (mathematics) , domain (mathematical analysis) , physics , theoretical physics , mathematics , mathematical analysis , computer science , pure mathematics , chemistry , thermodynamics , quantum mechanics , machine learning , dielectric , programming language
Ferroelectric ceramics have a complex micro–structure which is responsible for their non–linear behavior on the macroscopic scale. The presented model treats the spontaneous polarization as an order parameter, for which a Ginzburg–Landau type evolution is postulated. Contrary to sharp interface models this allows for the simulation of evolving domain structures. The equations are solved via the Finite Element Method, employing an implicit time integration scheme. Numerical simulations show the physical interpretability of the phase field parameters. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)