A polycrystal hysteresis model for ferroelectric ceramics

2006 ◽  
Vol 462 (2069) ◽  
pp. 1573-1592 ◽  
Author(s):  
Y Su ◽  
G.J Weng
Keyword(s):  
Electric Field ◽  
Hysteresis Loop ◽  
Ferroelectric Properties ◽  
Electric Displacement ◽  
Hysteresis Loops ◽  
Ferroelectric Ceramics ◽  
Domain Growth ◽  
Thermodynamic Approach ◽  
Hysteresis Model ◽  
Self Consistent

Most key elements of ferroelectric properties are defined through the hysteresis loops. For a ferroelectric ceramic, its loop is contributed collectively by its constituent grains, each having its own hysteresis loop when the ceramic polycrystal is under a cyclic electric field. In this paper, we propose a polycrystal hysteresis model so that the hysteresis loop of a ceramic can be calculated from the loops of its constituent grains. In this model a micromechanics-based thermodynamic approach is developed to determine the hysteresis behaviour of the constituent grains, and a self-consistent scheme is introduced to translate these behaviours to the polycrystal level. This theory differs from the classical phenomenological ones in that it is a micromechanics-based thermodynamic approach and it can provide the evolution of new domain concentration among the constituent grains. It also differs from some recent micromechanics studies in its secant form of self-consistent formulation and in its application of irreversible thermodynamics to derive the kinetic equation of domain growth. To put this two-level micromechanics theory in perspective, it is applied to a ceramic PLZT 8/65/35, to calculate its hysteresis loop between the electric displacement and the electric field ( D versus E ), and the butterfly-shaped longitudinal strain versus the electric field relation ( ϵ versus E ). The calculated results are found to be in good quantitative agreement with the test data. The corresponding evolution of new domain concentration c 1 and the individual hysteresis loops of several selected grains—along with those of the overall polycrystal—are also illustrated.

scholarly journals THE CONTRIBUTION OF ELECTRICAL CONDUCTIVITY, DIELECTRIC PERMITTIVITY AND DOMAIN SWITCHING IN FERROELECTRIC HYSTERESIS LOOPS

2011 ◽  
Vol 01 (01) ◽  
pp. 107-118 ◽  
Author(s):  
HAIXUE YAN ◽  
FAWAD INAM ◽  
GIUSEPPE VIOLA ◽  
HUANPO NING ◽  
HONGTAO ZHANG ◽  
...  
Keyword(s):  
Dielectric Permittivity ◽  
Electric Field ◽  
Lead Zirconate Titanate ◽  
Domain Switching ◽  
Ferroelectric Properties ◽  
Electric Displacement ◽  
Hysteresis Loops ◽  
Lead Zirconate ◽  
Ferroelectric Hysteresis ◽  
Current Electric Field

Triangular voltage waveform was employed to distinguish the contributions of dielectric permittivity, electric conductivity and domain switching in current-electric field curves. At the same time, it is shown how those contributions can affect the shape of the electric displacement — electric field loops (D–E loops). The effects of frequency, temperature and microstructure (point defects, grain size and texture) on the ferroelectric properties of several ferroelectric compositions is reported, including: BaTiO 3; lead zirconate titanate (PZT); lead-free Na 0.5 K 0.5 NbO 3; perovskite-like layer structured A 2 B 2 O 7 with super high Curie point (T c ); Aurivillius phase ferroelectric Bi 3.15 Nd 0.5 Ti 3 O 12; and multiferroic Bi 0.89 La 0.05 Tb 0.06 FeO 3. This systematic study provides an instructive outline in the measurement of ferroelectric properties and the analysis and interpretation of experimental data.

Shape of piezoelectric hysteresis loop for non-ferroelastic switching

2003 ◽  
Vol 784 ◽  
Author(s):  
A. K. Tagantsev ◽  
P. Muralt ◽  
J. Fousek
Keyword(s):  
Thin Films ◽  
Electric Field ◽  
Hysteresis Loop ◽  
Single Crystals ◽  
Applied Electric Field ◽  
Piezoelectric Coefficient ◽  
Hysteresis Loops ◽  
Simple Theory ◽  
The Difference

ABSTRACTA simple theory for the shape of the piezoelectric hysteresis loops (piezoelectric coefficient d vs. applied electric field E) is developed for the case of non-ferroelelastic 180° switching in ferroelectrics. The theory provides explanations for specific features of piezoelectric hysteresis loops, which have been observed in single crystals, thin films and in ceramics in particular. The piezoelectric coefficient may show a “hump”, i.e. when E decreases from the tip of the loop down to zero, d passes through a maximum, and a “nose”, i.e. a self-crossing of the loop close to its tips. The theory also explains the difference in the coercive fields seen in the polarization and piezoelectric loops.

Composition Dependent Fatigue in Antiferroelectric PZST Ceramics Induced by Bipolar Electric Cycling

2005 ◽  
Vol 475-479 ◽  
pp. 1193-1196
Author(s):  
Long Jie Zhou ◽  
Georg Rixecker ◽  
André Zimmermann ◽  
Fritz Aldinger
Keyword(s):  
Phase Transition ◽  
Hysteresis Loop ◽  
Fatigue Resistance ◽  
Lead Zirconate Titanate ◽  
Hysteresis Loops ◽  
Lead Zirconate ◽  
Ferroelectric Ceramics ◽  
Fatigue Effect ◽  
Zirconate Titanate ◽  
Electric Fatigue

Bipolar electric fatigue in antiferroelectrics of the lead zirconate titanate stannate ceramics family was investigated. Variations in strain hysteresis loops and damages in microstructure of the materials due to the electric cycling were analyzed. The materials showed symmetric or asymmetric suppression of strain hysteresis loop, normal or diffuse AFE-FE phase transition and intact or damaged microstructure after 5×10-7 cycles, indicating a strong composition dependent fatigue effect and the corresponding mechanism. In general, the antiferroelectric materials exhibited much higher fatigue resistance than ferroelectric ceramics reported previously.

The Charge-Discharge Properties of the Non-Linear Dielectric Capacitor

2013 ◽  
Vol 547 ◽  
pp. 115-123 ◽  
Author(s):  
Yang Xi Yan ◽  
Yu Jun Feng
Keyword(s):  
Electric Field ◽  
Discharge Current ◽  
Hysteresis Loops ◽  
Ferroelectric Ceramics ◽  
Time Curve ◽  
Charge Voltage ◽  
Current Time ◽  
Electric Field Increase ◽  
Load Discharge ◽  
Charge Discharge

The Charge-discharge Properties of Two Different Non-liner Dielectric Capacitors which Were Made by the La-modified PZST Anti-ferroelectric Ceramics (AFE) Capacitors Were Investigated by Measuring the Hysteresis Loops, None-load Discharge Current-time Curves under Different Charge Voltage, and with 100ohm Discharge Current-time Curve. through Compared these Properties with the Liner Capacitors, it Is Evidence to Summarize the No-liner Properties of the AFE Ceramics. it Was Found that, the AFE Capacitors Imax Is Increasing in No-linear with the Charge Electric Field Increase, but to the Linear Capacitor, the Imax-E Curves is a Beeline. and the AFE Imax-E Curve is Similar to the P-E Curve, and this Paper Explained these.

Electrical creep and fatigue in 0.5Ba(Zr0.2Ti0.8)O3-0.5(Ba0.7Ca0.3)TiO3 ceramics

2021 ◽  
Author(s):  
Moolchand Sharma ◽  
Satyanarayan Patel ◽  
A. Arockiarajan ◽  
Rahul Vaish
Keyword(s):  
Electric Field ◽  
High Cycle Fatigue ◽  
Electric Displacement ◽  
Fatigue Tests ◽  
Ferroelectric Ceramics ◽  
Cycle Fatigue ◽  
Function Generator ◽  
Creep Analysis ◽  
Voltage Amplifier ◽  
Effects Of Temperature

In this study, the creep and fatigue characterization is performed for 0.5Ba(Zr[Formula: see text]Ti[Formula: see text]O[Formula: see text]0.5(Ba[Formula: see text]Ca[Formula: see text]TiO3 (BZT-BCT) bulk ferroelectric ceramics. A function generator is used to generate the required waveform of the voltage amplifier for fatigue and creep analysis. The evolution of polarization is studied for electrical creep. The effects of temperature and electric field on the electric displacement are studied. Hysteresis–butterfly loops are analyzed for fatigue tests for different thermal loads up to 106 cycles. It inheres that the material is stable below 75[Formula: see text]C and can withstand high cycle fatigue loads (25 Hz, ± 1.5 kV/mm).

A self-consistent polycrystal model for the spontaneous polarization of ferroelectric ceramics

2006 ◽  
Vol 462 (2070) ◽  
pp. 1763-1789 ◽  
Author(s):  
Y Su ◽  
G.J Weng
Keyword(s):  
Curie Temperature ◽  
Electric Field ◽  
Spontaneous Polarization ◽  
Mixture Theory ◽  
Temperature Shift ◽  
Dielectric Constants ◽  
Ferroelectric Ceramics ◽  
Consistent Model ◽  
Self Consistent ◽  
Polycrystalline Ceramic

Motivated by the observation that the spontaneous polarization process of a ferroelectric polycrystal under the influence of a superimposed stress and/or electric field involves heterogeneous evolution of the ferroelectric phase among its constituent grains, a self-consistent electromechanical model is developed to determine the effective behaviour of the polycrystalline ceramic from such a heterogeneous electromechanical state. We start out from consideration of a micromechanics-based thermodynamic process to establish the kinetic equation of the crystallite and use it to evaluate the evolution of its ferroelectric domain. Then together with the Curie–Weiss law for the dielectric constants of the tetragonal phase, a dual-phase mixture theory is adopted to determine the change of its electromechanical moduli as temperature cools down below its Curie point. The overall property of the polycrystal is subsequently calculated by the self-consistent model through orientational average over its constituent grains. This two-level micromechanics model is applied to examine the shift of Curie temperature and evolution of the effective electromechanical moduli of a BaTiO 3 ceramic under cooling. The calculated results show that its Curie temperature decreases with increasing hydrostatic pressure, but increases with a superimposed axial compression or a biased electric field. The predicted temperature shift and change of the dielectric constants are found to be consistent with experimental observations.

Texture – Property Relationships in Bi-Layered Ferroelectric Ceramics: A Case Study of SrBi2Ta2O9

2006 ◽  
Vol 514-516 ◽  
pp. 170-174 ◽  
Author(s):  
Harvey Amorín ◽  
Andréi L. Kholkin ◽  
Maria Elisabete V. Costa
Keyword(s):  
Spontaneous Polarization ◽  
Volume Fraction ◽  
Ferroelectric Properties ◽  
Hysteresis Loops ◽  
Orientation Distribution ◽  
Quantitative Model ◽  
Sem Analysis ◽  
Ferroelectric Ceramics ◽  
Sem Images ◽  
Predicted Values

A quantitative model for the calculation of spontaneous polarization of BLSF ceramics as a function of the degree of texture is presented using a general formalism based on the texture analysis via an orientation distribution function. The March-Dollase equation was selected to fit the measured texture distribution because its fitting parameters can be related to experimentally measurable stereological values obtained from SEM images. The results are applied to the SrBi2Ta2O9 (SBT) system, which is a well-known member of the BLSF family. The textured SBT ceramics were fabricated by templated grain growth (TGG) and the microstructure and degree of texture were evaluated by SEM analysis, which allowed correlating the texture development to the sintering parameters. Enhanced ferroelectric properties were measured perpendicularly to the uniaxial pressing direction of the ceramics, revealing the influence of the grains orientation, anisotropy and volume fraction of textured material on the ferroelectric properties. Finally, the predicted values for the spontaneous polarization as a function of the degree of texture were compared with those measured from the hysteresis loops.

Influence of Zr/Sn Ratio Electric Properties of PLZST Ceramic

2013 ◽  
Vol 547 ◽  
pp. 101-105 ◽  
Author(s):  
Jin Fei Wang ◽  
Tong Qing Yang ◽  
K. Wei ◽  
G. Li ◽  
Yong Xiang Li
Keyword(s):  
Phase Transition ◽  
Dielectric Constant ◽  
Dielectric Loss ◽  
Electric Field ◽  
Perovskite Structure ◽  
Ferroelectric Phase ◽  
Hysteresis Loops ◽  
Ferroelectric Ceramics ◽  
Antiferroelectric Phase ◽  
Lower Temperature

(Pb0.97La0.02)(Zr0.92-xSnxTi0.08)O3 (PLZST) ferroelectric ceramics with x=0.40, 0.25, 0.15, respectively, were investigated. It was found that these ceramics with different Zr:Sn ratios were perovskite structure. With increasing of Zr:Sn ratio, the phase-transition electric-field of antiferroelectric to ferroelectric phase increased. when x>0.15,All the samples have double hysteresis loops with antiferroelectric phase characteristics. Yet, when the electric field was removed at lower temperature of -5oC and -20oC, for x=0.25 and 0.40, the electric field induced FE phase can remain metastable FE state. But for x=0.15, the induced FE phase recover to AFE phase even at -20oC. Yet, electric field induced FE phase exist as metastable FE phase. TFE-AFE of the samples was -5oC, -20oC, when x=0.40, x=0.25, respectively. With increasing of Zr:Sn ratio, TFE-AFE increaseddecreased, Tc was hardly changed, but the dielectric constant increased from ~2500 to ~6000, the peak changed sharply, dielectric loss increased continuously with increasing of Zr:Sn ratio.

Control of Ferroelectric Properties of PbZrxTi1−xO3 Thin Film for Electron Emission Device Driven by Low Voltage

1998 ◽  
Vol 541 ◽  
Author(s):  
Y. Yamagata ◽  
M. Yamazato ◽  
T. Ikegami ◽  
K. Ebihara ◽  
J. Narayan ◽  
...  
Keyword(s):  
Electric Field ◽  
Film Thickness ◽  
Ferroelectric Phase ◽  
Low Voltage ◽  
Ferroelectric Properties ◽  
Domain Growth ◽  
One Dimensional ◽  
Pzt Films ◽  
The One ◽  
Coercive Electric Field

AbstractEpitaxial PbZr0.52TiO0.48O3/YBa2Cu3O7−x heterostructures on Nd:YAlO3 and MgO substrates were fabricated by KrF pulsed laser deposition. The coercive electric field of the PZT films increased with decrease of the film thickness from 1.2 μm to 0.04 μm, while the magnitude of spontaneous polarization was almost constant in this thickness range. It was found that the dependence of the film thickness d on the coercive electric field Ec was Ecæ d−2/3. This results from that the PZT/YBCO heterostructure has the one dimensional ferroelectric domain growth without non-ferroelectric phase. The polarization of AuIPZT/YBCO/(MgO or YAlO) capacitors can be changed by the applied voltage below 5 V.

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