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Two models to simulate rate-dependent domain switching effects - application to ferroelastic polycrystalline ceramics

Menzel, Andreas LU ; Arockiarajan, A and Sivakumar, S M (2008) In Smart Materials and Structures 17.
Abstract
The aim of this paper is to study rate-dependent switching in ferroelastic materials. More specifically, a micro-mechanically motivated model is embedded into an iterative three-dimensional and electromechanically coupled finite element framework. An established energy-based criterion serves for the initiation of domain switching processes as based on reduction in (local) Gibbs free energy. Subsequent nucleation and propagation of domain walls is captured via a linear kinetics theory with rate-dependent effects being incorporated in terms of a deformation-dependent limit-time-parameter. With this basic model in hand, two different switching formulations are elaborated in this work: on the one hand, a straightforward volume-fraction-ansatz... (More)
The aim of this paper is to study rate-dependent switching in ferroelastic materials. More specifically, a micro-mechanically motivated model is embedded into an iterative three-dimensional and electromechanically coupled finite element framework. An established energy-based criterion serves for the initiation of domain switching processes as based on reduction in (local) Gibbs free energy. Subsequent nucleation and propagation of domain walls is captured via a linear kinetics theory with rate-dependent effects being incorporated in terms of a deformation-dependent limit-time-parameter. With this basic model in hand, two different switching formulations are elaborated in this work: on the one hand, a straightforward volume-fraction-ansatz is applied with the volume-fraction-value depending on the limit-time-parameter; on the other hand, a reorientation-transformation-formulation is proposed, whereby the orientation tensor itself is assumed to depend on the limit-time-parameter. Macroscopic behaviour such as stress versus strains curves or stress versus electrical displacements graphs are obtained by applying straightforward volume-averaging-techniques to the three-dimensional finite-element-based simulation results which provides important insights into the rate-dependent response of the investigated ferroelastic materials. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Smart Materials and Structures
volume
17
publisher
IOP Publishing
external identifiers
  • wos:000254176200027
  • scopus:41849092277
ISSN
0964-1726
DOI
10.1088/0964-1726/17/01/015026
language
English
LU publication?
yes
id
7c959254-b3ab-46fb-b089-b38af680148b (old id 1515233)
date added to LUP
2009-12-10 11:23:34
date last changed
2017-01-01 05:26:55
@article{7c959254-b3ab-46fb-b089-b38af680148b,
  abstract     = {The aim of this paper is to study rate-dependent switching in ferroelastic materials. More specifically, a micro-mechanically motivated model is embedded into an iterative three-dimensional and electromechanically coupled finite element framework. An established energy-based criterion serves for the initiation of domain switching processes as based on reduction in (local) Gibbs free energy. Subsequent nucleation and propagation of domain walls is captured via a linear kinetics theory with rate-dependent effects being incorporated in terms of a deformation-dependent limit-time-parameter. With this basic model in hand, two different switching formulations are elaborated in this work: on the one hand, a straightforward volume-fraction-ansatz is applied with the volume-fraction-value depending on the limit-time-parameter; on the other hand, a reorientation-transformation-formulation is proposed, whereby the orientation tensor itself is assumed to depend on the limit-time-parameter. Macroscopic behaviour such as stress versus strains curves or stress versus electrical displacements graphs are obtained by applying straightforward volume-averaging-techniques to the three-dimensional finite-element-based simulation results which provides important insights into the rate-dependent response of the investigated ferroelastic materials.},
  articleno    = {015026},
  author       = {Menzel, Andreas and Arockiarajan, A and Sivakumar, S M},
  issn         = {0964-1726},
  language     = {eng},
  publisher    = {IOP Publishing},
  series       = {Smart Materials and Structures},
  title        = {Two models to simulate rate-dependent domain switching effects - application to ferroelastic polycrystalline ceramics},
  url          = {http://dx.doi.org/10.1088/0964-1726/17/01/015026},
  volume       = {17},
  year         = {2008},
}