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Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua

Dusthakar, Dinesh Kumar; Menzel, Andreas LU and Svendsen, Bob (2015) In GAMM-Mitteilungen 38(1). p.147-170
Abstract
The purpose of the current work is the comparison of a phenomenological and a laminate-based model for rate-dependent switching in ferroelectric single crystals. To this end, the phenomenological model formulation of [1] is considered. In this model, the polarization vector is treated as an internal variable. The evolution of the polarization determines the remanent strain; dependence of energy storage on its direction results in generally transverse isotropic material behavior. This is compared here with a laminate-based model in which the volume fractions of ferroelectric variants are treated as internal variables. The evolution of these volume fractions determines in turn the remanent strain and polarization as volume averages of... (More)
The purpose of the current work is the comparison of a phenomenological and a laminate-based model for rate-dependent switching in ferroelectric single crystals. To this end, the phenomenological model formulation of [1] is considered. In this model, the polarization vector is treated as an internal variable. The evolution of the polarization determines the remanent strain; dependence of energy storage on its direction results in generally transverse isotropic material behavior. This is compared here with a laminate-based model in which the volume fractions of ferroelectric variants are treated as internal variables. The evolution of these volume fractions determines in turn the remanent strain and polarization as volume averages of corresponding ferroelectric variant quantities. Besides a comparison of the respective model formulations, the phenomenological and laminate models are compared in the context of numerical simulation examples. It turns out that both modeling frameworks nicely recapture the underlying dissipative and rate-dependent effects, which is represented by means of simulated butterfly curves and hysteresis loops under homogeneous loading conditions as well as by finite element simulations. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
GAMM-Mitteilungen
volume
38
issue
1
pages
147 - 170
publisher
John Wiley & Sons
external identifiers
  • scopus:84961288526
ISSN
1522-2608
DOI
10.1002/gamm.201510008
language
English
LU publication?
yes
id
ceb4da3d-af7e-4fbe-8c42-678e60a4dbe4 (old id 8521462)
date added to LUP
2016-02-08 16:00:39
date last changed
2017-01-01 05:49:50
@article{ceb4da3d-af7e-4fbe-8c42-678e60a4dbe4,
  abstract     = {The purpose of the current work is the comparison of a phenomenological and a laminate-based model for rate-dependent switching in ferroelectric single crystals. To this end, the phenomenological model formulation of [1] is considered. In this model, the polarization vector is treated as an internal variable. The evolution of the polarization determines the remanent strain; dependence of energy storage on its direction results in generally transverse isotropic material behavior. This is compared here with a laminate-based model in which the volume fractions of ferroelectric variants are treated as internal variables. The evolution of these volume fractions determines in turn the remanent strain and polarization as volume averages of corresponding ferroelectric variant quantities. Besides a comparison of the respective model formulations, the phenomenological and laminate models are compared in the context of numerical simulation examples. It turns out that both modeling frameworks nicely recapture the underlying dissipative and rate-dependent effects, which is represented by means of simulated butterfly curves and hysteresis loops under homogeneous loading conditions as well as by finite element simulations.},
  author       = {Dusthakar, Dinesh Kumar and Menzel, Andreas and Svendsen, Bob},
  issn         = {1522-2608},
  language     = {eng},
  number       = {1},
  pages        = {147--170},
  publisher    = {John Wiley & Sons},
  series       = {GAMM-Mitteilungen},
  title        = {Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua},
  url          = {http://dx.doi.org/10.1002/gamm.201510008},
  volume       = {38},
  year         = {2015},
}