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Thermodynamical modeling of ferroelectric polycrystalline material behavior

Mehling, Volkmar and Tsakmakis, Charalampos and Gross, Dietmar (2006):
Thermodynamical modeling of ferroelectric polycrystalline material behavior.
In: Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, ISSN 1109-2769,
[Article]

Abstract

A fully three-dimensional, thermodynamically consistent model for the behavior of polycrystalline ferroelectric ceramics, such as PZT or Barium Titanate is presented. In an internal variable framework, the internal state of the material is described by two microscopically motivated internal state variables. The first one is a second-order texture tensor, indicating the orientation of axes of the crystal unit cells. The second is vector-valued and describes the macroscopic polarization state. Similar to rate-independent plasticity theory for small deformations, strains and electric displacements are decomposed into reversible and irreversible parts. For the reversible part, a linear piezoelectric constitutive law is assumed. For the irreversible part, driving forces and evolution laws are established. Saturation and electro-mechanical coupling during irreversible processes are governed by energy barrier functions introduced in the electric enthalpy function. The model parameters are fitted to experimental hysteresis data. Illustrative examples demonstrate the models capabilities.

Item Type: Article
Erschienen: 2006
Creators: Mehling, Volkmar and Tsakmakis, Charalampos and Gross, Dietmar
Title: Thermodynamical modeling of ferroelectric polycrystalline material behavior
Language: English
Abstract:

A fully three-dimensional, thermodynamically consistent model for the behavior of polycrystalline ferroelectric ceramics, such as PZT or Barium Titanate is presented. In an internal variable framework, the internal state of the material is described by two microscopically motivated internal state variables. The first one is a second-order texture tensor, indicating the orientation of axes of the crystal unit cells. The second is vector-valued and describes the macroscopic polarization state. Similar to rate-independent plasticity theory for small deformations, strains and electric displacements are decomposed into reversible and irreversible parts. For the reversible part, a linear piezoelectric constitutive law is assumed. For the irreversible part, driving forces and evolution laws are established. Saturation and electro-mechanical coupling during irreversible processes are governed by energy barrier functions introduced in the electric enthalpy function. The model parameters are fitted to experimental hysteresis data. Illustrative examples demonstrate the models capabilities.

Journal or Publication Title: Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece
Uncontrolled Keywords: Piezoelectricity, Electromechanical Coupling, Ferroelectricity, Thermodynamical 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 12:35
Official URL: http://www.wseas.us/e-library/conferences/2006evia/papers/51...
Additional Information:

SFB 595 C3

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