The influence of the shape of domains on the ferroelectric hysteresis loop

Janta, J.

doi:10.1080/00150197108234104

Cited by 16 publications

(10 citation statements)

References 10 publications

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“…4(b-f)) is prominent and is a common feature, and has been previously reported for alanine and H 3 PO 4 Table 1 Crystallographic and morphological parameters, piezoelectric (d 22 ) and pyroelectric (l) coefficients of TGS and TGSP crystals doped (ATGSP) crystals [18]. The elongation in the shape of the domains may be attributed to the linear and volume defects introduced in the crystal due to H 3 PO 4 doping [19]. In comparison to TGS, the TGSP crystals have exhibited a wide variation in the domain sizes and also show a higher domain density (Table 1) in agreement with earlier observations [7].…”

Section: Structural Characterizationmentioning

confidence: 79%

Characterization of phosphoric acid doped TGS single crystals

Saxena

Gupta

Sreenivas

2004

Journal of Crystal Growth

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Section: Structural Characterizationmentioning

confidence: 79%

Characterization of phosphoric acid doped TGS single crystals

Saxena

Gupta

Sreenivas

2004

Journal of Crystal Growth

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“…This property obviously also affects the overall macroscopic response of piezoelectric materials. Janta (1971) developed a model to estimate the influence of the domain shape and different loading frequencies on the amplitude of the hysteresis loop as well as on the coercive electric field. The reported results indicate that the coercive electric field is solely slightly affected by the shape of the domain structure itself.…”

Section: Introductionmentioning

confidence: 99%

Computational modeling of rate-dependent domain switching in piezoelectric materials

Arockiarajan

Menzel

Delibas

et al. 2006

European Journal of Mechanics - A/Solids

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In this contribution a micromechanically motivated model for rate-dependent switching effects in piezoelectric materials is developed. The proposed framework is embedded into a three-dimensional finite element setting whereby each element is assumed to represent an individual grain. Related dipole (polarization) directions are thereby initially randomly oriented at the element level to realistically capture the originally un-poled state of grains in the bulk ceramics. The onset of domain switching processes is based on a representative energy criterion and combined with a linear kinetics theory accounting for time-dependent propagation of domain walls during switching processes. In addition, grain boundary effects are incorporated by making use of a macromechanically motivated probabilistic approach. Standard volume-averaging techniques with respect to the response on individual grains in the bulk ceramics are later on applied to obtain representative hysteresis and butterfly curves under macroscopically uniaxial loading conditions at different loading frequencies. It turns out that the simulations based on the developed finite element formulation nicely match experimental data reported in the literature.

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“…For the sake of simplicity, a fixed number of nucleation sites N1 and the same extended area a (t) for every domain are assumed for a unit surface area. In a thin layer of ferroelectric material, the total extended area per unit area of the electrode (in the same sense as AexCt) in Equation (12) if Ao = 1 is assumed) for the positive half-period of a sinusoidal electric field can be expressed as (Janta, 1971):…”

Section: Basic Theories Of Polarization Reversal Dynamicsmentioning

confidence: 99%

“…Nucleation and forward wall motion are neglected. It has been shown that in the case of cylindrical domains, an expression similar to Equation (15) may be obtained (Janta, 1971). It should be noted that the above polarization reversal theories are only valid for single crystals.…”

Section: Basic Theories Of Polarization Reversal Dynamicsmentioning

confidence: 99%

A Macroscopic Phenomenological Formulation for Coupled Electromechanical Effects in Piezoelectricity

Zhang

Rogers

1993

Journal of Intelligent Material Systems and Structures

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A phenomenological formulation of polarization reversal of piezoelectric materials s proposed based on the dynamics of domain switching. This formulation provides a method to describe the hysteresis in piezoelectricity as well as in electromagnetics. It is shown that a good approach to describe the nonlinear induced strain-field behavior and electromechanical hysteresis in piezoelectricity is by combining the macroscopic phenomenological aspects with the microscopic naterial properties. A one-dimensional thermo-electro-mechanical constitutive model for piezoceramics which undergo polarization reversal is presented using a continuum mechanics approach. This model is based on thermodynamic principles and reflects the essence of the electromechanical behavior of piezoceramics in a simple form. It is illustrated that this theory can describe the elecromechanical behavior of piezoceramics simply and reasonably well.

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The influence of the shape of domains on the ferroelectric hysteresis loop

Cited by 16 publications

References 10 publications

Characterization of phosphoric acid doped TGS single crystals

Characterization of phosphoric acid doped TGS single crystals

Computational modeling of rate-dependent domain switching in piezoelectric materials

A Macroscopic Phenomenological Formulation for Coupled Electromechanical Effects in Piezoelectricity

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