Mehling, V. ; Tsakmakis, C. ; Gross, D. (2007)
Phenomenological model for the macroscopical material behavior of ferroelectric ceramics.
In: Journal of the Mechanics and Physics of Solids, 55 (10)
doi: 10.1016/j.jmps.2007.03.008
Article, Bibliographie
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. ; Tsakmakis, C. ; Gross, D. |
| Type of entry: | Bibliographie |
| Title: | Phenomenological model for the macroscopical material behavior of ferroelectric ceramics |
| Language: | English |
| Date: | October 2007 |
| Journal or Publication Title: | Journal of the Mechanics and Physics of Solids |
| Volume of the journal: | 55 |
| Issue Number: | 10 |
| DOI: | 10.1016/j.jmps.2007.03.008 |
| 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. |
| Uncontrolled Keywords: | Piezoelectricity; Ferroelectricity; Electromechanical coupling; Thermodynamical modeling; previous termPhenomenologicalnext term modeling |
| Additional Information: | SFB 595 C3 |
| 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 |
| Last Modified: | 05 Mar 2013 09:54 |
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