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- Title
Coordinate-invariant phase field modeling of ferro-electrics, part I: Model formulation and single-crystal simulations.
- Authors
Schrade, D.; Müller, R.; Keip, M.-A.; Thai, H.; Schröder, J.; Svendsen, B.; Gross, D.
- Abstract
An electro-mechanically coupled phase field model for ferroelectric domain evolution is introduced. Based on Gurtin's concept of a microforce balance, a generalized Ginzburg-Landau evolution equation is derived from the second law of thermodynamics. The thermodynamic potential is formulated for transversely isotropic material behavior by adopting a coordinateinvariant formulation. The model is reduced to 2D and implemented into a finite element framework. The numerical simulations concern the microstructure evolution in mechanically clamped BaTiO3 single-crystals. In the second part of this contribution Keip et al. [1], the poling behavior of ferroelectric composites and polycrystals is investigated with regard to size effects and the influence of a discontinuous order parameter field across grain boundaries. (© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
PHASE equilibrium; FERROELECTRIC domains; DIELECTRIC properties of ferroelectric ceramic materials; EVOLUTION equations; THERMODYNAMIC potentials; INVARIANTS (Mathematics); CRYSTAL grain boundaries
- Publication
GAMM Mitteilungen, 2015, Vol 38, Issue 1, p102
- ISSN
0936-7195
- Publication type
Article
- DOI
10.1002/gamm.201510005