Xu, Bai-Xiang ; Seggern, Heinz von ; Zhukov, Sergey ; Gross, Dietmar (2014)
An internal-variable-based interface model for the charging process of ferroelectrets.
In: European Journal of Mechanics - A/Solids, 48
doi: 10.1016/j.euromechsol.2013.12.011
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Electrically charged micro-porous foams, referred to as ferroelectrets, exhibit a very large longitudinal piezoelectric coefficient. In the present configuration the microporous material is sandwiched between two solid materials which can block the motion of charges. During the charging process of the ferroelectret electrical breakdown (Paschen breakdown) takes place in the air pores of the foam and introduce free charge pairs. These pairs are separated by the electric field induced by the applied voltage. Depending on the polarity they are relocated at the interfaces between the polymer and the electrically broken-down medium, where they are trapped quasistatically. Charging of the interfaces is key for the observed piezoelectricity of ferroelectrets. In the present article, an internal-variable-based interface model is proposed to simulate the charging and discharging of ferroelectrets. The model includes also the electrostatic force between the interface charges. For the bulk behavior, an electromechanical model based on the Maxwell stress is used. In particular, a 2D nonlinear finite element implementation of the models is elaborated, which involves a novel embedded interface element. Simulations of a sandwiched ferroelectret show that the interface model can reproduce the hysteresis behavior of the interface charge density, as it is demonstrated by the comparison with the corresponding experimental results. The model is further used to numerically study the influences of geometric, elastic and electrical parameters on the hysteresis and the piezoelectric coefficients. The models are also used to simulate a lens-shaped ferroelectret unit.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2014 |
| Autor(en): | Xu, Bai-Xiang ; Seggern, Heinz von ; Zhukov, Sergey ; Gross, Dietmar |
| Art des Eintrags: | Bibliographie |
| Titel: | An internal-variable-based interface model for the charging process of ferroelectrets |
| Sprache: | Englisch |
| Publikationsjahr: | 2014 |
| Verlag: | Elsevier Science Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | European Journal of Mechanics - A/Solids |
| Jahrgang/Volume einer Zeitschrift: | 48 |
| DOI: | 10.1016/j.euromechsol.2013.12.011 |
| Kurzbeschreibung (Abstract): | Electrically charged micro-porous foams, referred to as ferroelectrets, exhibit a very large longitudinal piezoelectric coefficient. In the present configuration the microporous material is sandwiched between two solid materials which can block the motion of charges. During the charging process of the ferroelectret electrical breakdown (Paschen breakdown) takes place in the air pores of the foam and introduce free charge pairs. These pairs are separated by the electric field induced by the applied voltage. Depending on the polarity they are relocated at the interfaces between the polymer and the electrically broken-down medium, where they are trapped quasistatically. Charging of the interfaces is key for the observed piezoelectricity of ferroelectrets. In the present article, an internal-variable-based interface model is proposed to simulate the charging and discharging of ferroelectrets. The model includes also the electrostatic force between the interface charges. For the bulk behavior, an electromechanical model based on the Maxwell stress is used. In particular, a 2D nonlinear finite element implementation of the models is elaborated, which involves a novel embedded interface element. Simulations of a sandwiched ferroelectret show that the interface model can reproduce the hysteresis behavior of the interface charge density, as it is demonstrated by the comparison with the corresponding experimental results. The model is further used to numerically study the influences of geometric, elastic and electrical parameters on the hysteresis and the piezoelectric coefficients. The models are also used to simulate a lens-shaped ferroelectret unit. |
| Freie Schlagworte: | Hysteresis, Internal variable, Piezoelectric constant |
| Zusätzliche Informationen: | SFB 595 Cooperation C6, B7 Frontiers in Finite-Deformation Electromechanics |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Elektronische Materialeigenschaften 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Mechanik Funktionaler Materialien DFG-Sonderforschungsbereiche (inkl. Transregio) DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > B - Charakterisierung DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > B - Charakterisierung > Teilprojekt B7:Polarisation und Ladung in elektrisch ermüdeten Ferroelektrika DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > C - Modellierung DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 595: Elektrische Ermüdung > C - Modellierung > Teilprojekt C6: Mikromechanische Simulationen von Interaktion der Punktdefekte mit Domänenstruktur in Ferroelektrika |
| Hinterlegungsdatum: | 24 Okt 2014 13:07 |
| Letzte Änderung: | 26 Jan 2024 09:21 |
| PPN: | |
| Sponsoren: | The authors would like to thank the German Research Foundation (DFG) for its financial support in the framework of the Collaborative Research Center (SFB 595) and the DFG project SE 941/17-1. |
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