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Phenomenological model for the macroscopical material behavior of ferroelectric ceramics

Mehling, V. and Tsakmakis, C. and Gross, D. (2007):
Phenomenological model for the macroscopical material behavior of ferroelectric ceramics.
In: Journal of the Mechanics and Physics of Solids, 55 (10), pp. 2106-2141, ISSN 00225096,
[Online-Edition: http://dx.doi.org/10.1016/j.jmps.2007.03.008],
[Article]

Abstract

A thermodynamically consistent previous termphenomenologicalnext term model for the simulation of the macroscopic behavior of ferroelectric polycrystalline ceramics is presented. It is based on the choice of microscopically motivated internal state variables, which describe the texture and the polarization state of the polycrystal. Saturation states are defined for the internal state variables. The linear material behavior is modelled by a transversely isotropic piezoelectric constitutive law, where the anisotropy is history dependent. For non-linear irreversible processes, a switching function and associated evolution rules are applied, satisfying the principle of maximum ferroelectric dissipation. Saturation is modelled by the use of energy-barrier functions in the electric enthalpy density function. Numerical examples demonstrate the capability of the proposed model, to predict the typical experimental results.

Item Type: Article
Erschienen: 2007
Creators: Mehling, V. and Tsakmakis, C. and Gross, D.
Title: Phenomenological model for the macroscopical material behavior of ferroelectric ceramics
Language: English
Abstract:

A thermodynamically consistent previous termphenomenologicalnext term model for the simulation of the macroscopic behavior of ferroelectric polycrystalline ceramics is presented. It is based on the choice of microscopically motivated internal state variables, which describe the texture and the polarization state of the polycrystal. Saturation states are defined for the internal state variables. The linear material behavior is modelled by a transversely isotropic piezoelectric constitutive law, where the anisotropy is history dependent. For non-linear irreversible processes, a switching function and associated evolution rules are applied, satisfying the principle of maximum ferroelectric dissipation. Saturation is modelled by the use of energy-barrier functions in the electric enthalpy density function. Numerical examples demonstrate the capability of the proposed model, to predict the typical experimental results.

Journal or Publication Title: Journal of the Mechanics and Physics of Solids
Volume: 55
Number: 10
Uncontrolled Keywords: Piezoelectricity; Ferroelectricity; Electromechanical coupling; Thermodynamical modeling; previous termPhenomenologicalnext term modeling
Divisions: 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 > CRC 595: Electrical fatigue > C - Modelling
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 595: Electrical fatigue
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 27 Sep 2011 11:57
Official URL: http://dx.doi.org/10.1016/j.jmps.2007.03.008
Additional Information:

SFB 595 C3

Identification Number: doi:10.1016/j.jmps.2007.03.008
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