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Modeling of Domain Structure Evolution in Ferroelectric Materials

Müller, Ralf and Xu, Bai-Xiang and Schrade, David and Gross, Dietmar (2010):
Modeling of Domain Structure Evolution in Ferroelectric Materials.
In: IUTAM Bookseries, 24Springer Science & Business Media, pp. 89-100, ISSN 1875-3507,
[Online-Edition: http://dx.doi.org/10.1007/978-90-481-9887-0_9],
[Article]

Abstract

A continuum phase field model is presented to simulate domain structures in ferroelectric single crystals. Special attention is given to domain structure evolution in the vicinity of crack tips. Using the spontaneous polarization as an order parameter the model is set up and implemented into a 2D finite element method. To evaluate crack driving forces the theory of configurational forces is extended to the phase field continuum and numerically realized within the finite element method. Simulations show the influence of boundary conditions and system parameters on the development of certain domain structures. Calculations with combined electric and mechanical loadings display the complex interaction of the loading with the domain structure and the crack driving force.

Item Type: Article
Erschienen: 2010
Creators: Müller, Ralf and Xu, Bai-Xiang and Schrade, David and Gross, Dietmar
Title: Modeling of Domain Structure Evolution in Ferroelectric Materials
Language: English
Abstract:

A continuum phase field model is presented to simulate domain structures in ferroelectric single crystals. Special attention is given to domain structure evolution in the vicinity of crack tips. Using the spontaneous polarization as an order parameter the model is set up and implemented into a 2D finite element method. To evaluate crack driving forces the theory of configurational forces is extended to the phase field continuum and numerically realized within the finite element method. Simulations show the influence of boundary conditions and system parameters on the development of certain domain structures. Calculations with combined electric and mechanical loadings display the complex interaction of the loading with the domain structure and the crack driving force.

Journal or Publication Title: IUTAM Bookseries
Title of Book: IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials
Volume: 24
Publisher: Springer Science & Business Media
Divisions: 11 Department of Materials and Earth Sciences
11 Department of Materials and Earth Sciences > Material Science
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: 27 Sep 2011 10:56
Official URL: http://dx.doi.org/10.1007/978-90-481-9887-0_9
Additional Information:

SFB 595 C3

Identification Number: doi:10.1007/978-90-481-9887-0_9
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