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Thermodynamical modeling of ferroelectric polycrystalline material behavior

Mehling, Volkmar ; Tsakmakis, Charalampos ; Gross, Dietmar (2006)
Thermodynamical modeling of ferroelectric polycrystalline material behavior.
In: Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece
Artikel, Bibliographie

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2006
Autor(en): Mehling, Volkmar ; Tsakmakis, Charalampos ; Gross, Dietmar
Art des Eintrags: Bibliographie
Titel: Thermodynamical modeling of ferroelectric polycrystalline material behavior
Sprache: Englisch
Publikationsjahr: Mai 2006
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece
URL / URN: http://www.wseas.us/e-library/conferences/2006evia/papers/51...
Kurzbeschreibung (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.

Freie Schlagworte: Piezoelectricity, Electromechanical Coupling, Ferroelectricity, Thermodynamical Modeling
Zusätzliche Informationen:

SFB 595 C3

Fachbereich(e)/-gebiet(e): DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > C - Modellierung > Teilprojekt C3: Mikroskopische Untersuchungen zur Defektagglomeration und deren Auswirkungen auf die Beweglichkeit von Domänenwänden
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > C - Modellierung
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung
Zentrale Einrichtungen
DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche
DFG-Sonderforschungsbereiche (inkl. Transregio)
Hinterlegungsdatum: 27 Sep 2011 12:35
Letzte Änderung: 05 Mär 2013 09:54
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