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Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution

Müller, Ralf and Gross, Dietmar and Schrade, David and Xu, Bai-Xiang (2007):
Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution.
In: International Journal of Fracture, 147 (1-4), pp. 173-180, ISSN 0376-9429,
[Online-Edition: http://dx.doi.org/10.1007/s10704-007-9153-7],
[Article]

Abstract

A phase field model for simulating the domain structures in ferroelectric materials is proposed. It takes mechanical and electric fields into account, thus allowing for switching processes due to mechanical and/or electrical loads. The central idea of the model is to take the spontaneous polarisation as an order parameter and to provide an evolution law for this parameter. The concept of evolving inhomogeneities (configuratioanl forces) can be used in this context, as the Spatial distribution of the spontaneous polarisation describes the inhomogeneity of the system. The evolution is found to be in agreement with the second law of thermodynamics and to resemble the (classical) Ginzburg-Landau equation. Numerical simulations show the features of the model and the interaction of domain structures with defects.

Item Type: Article
Erschienen: 2007
Creators: Müller, Ralf and Gross, Dietmar and Schrade, David and Xu, Bai-Xiang
Title: Phase field simulation of domain structures in ferroelectric materials within the context of inhomogeneity evolution
Language: English
Abstract:

A phase field model for simulating the domain structures in ferroelectric materials is proposed. It takes mechanical and electric fields into account, thus allowing for switching processes due to mechanical and/or electrical loads. The central idea of the model is to take the spontaneous polarisation as an order parameter and to provide an evolution law for this parameter. The concept of evolving inhomogeneities (configuratioanl forces) can be used in this context, as the Spatial distribution of the spontaneous polarisation describes the inhomogeneity of the system. The evolution is found to be in agreement with the second law of thermodynamics and to resemble the (classical) Ginzburg-Landau equation. Numerical simulations show the features of the model and the interaction of domain structures with defects.

Journal or Publication Title: International Journal of Fracture
Volume: 147
Number: 1-4
Uncontrolled Keywords: Phase field - Configurational mechanics - Micromechanics - Ferroelectrics - Finite element method
Divisions: Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue > C - Modelling
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue > C - Modelling > Subproject C3: Microscopic investigations into defect agglomeration and its effect on the mobility of domain walls
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 16 Aug 2011 14:31
Official URL: http://dx.doi.org/10.1007/s10704-007-9153-7
Additional Information:

SFB 595 C3

Identification Number: doi:10.1007/s10704-007-9153-7
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