Premium
Phase field simulations in ferroelectric materials
Author(s) -
Schrade D.,
Müller R.,
Gross D.
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610208
Subject(s) - ferroelectricity , polarization (electrochemistry) , discontinuity (linguistics) , phase boundary , materials science , electric field , domain (mathematical analysis) , condensed matter physics , domain wall (magnetism) , boundary value problem , field (mathematics) , mechanics , phase (matter) , physics , mathematical analysis , mathematics , chemistry , dielectric , magnetic field , magnetization , optoelectronics , quantum mechanics , pure mathematics
The hindering of domain wall movement by defects in ferroelectric materials is closely connected to electric fatigue. A movable domain wall in a ferroelectric material in most cases is modelled as a singular surface which allows the use of configurational forces. In contrast, the present approach treats the polarization as an order parameter, extending the total energy by a phase separation energy and a domain wall energy. The polarization then no longer has a discontinuity at the domain wall but is a continuous vector field (phase field). As an example, a numerical simulation of domain evolution under stress free boundary conditions is presented. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)