Micromechanics simulation of ferroelectric polarization switching

Chen, X.; Fang, Daining; Hwang, Keh Chih

doi:10.1016/s1359-6454(97)00008-6

Cited by 94 publications

(43 citation statements)

References 10 publications

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“…On the one hand, micromechanical models focus on individual domains as for instance discussed by Hwang et al [16], Chen et al [7], Fotinich and Carman [11], Huber and Fleck [14] or Elhadrouz et al [9]. These models are commonly based on randomly oriented bulk elements whereby microcrystalline properties are assumed for the behavior of each individual element.…”

Section: Introductionmentioning

confidence: 99%

“…In order to reduce the computational effort, piezoelectric effects have, however, been neglected. Another micromechanical model has been proposed by Chen et al [7], which takes multiple domains into account and additionally incorporates the interaction between the domains by means of a mean field theory. Fotinich and Carman [11,12] developed a domain switching criterion based on a critical value of the electric displacement due to switching with additional stability arguments for mono-crystalline piezoceramics.…”

Section: Introductionmentioning

confidence: 99%

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Studies on rate-dependent switching effects of piezoelectric materials using a finite element model

Arockiarajan

Delibas

Menzel

et al. 2006

Computational Materials Science

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The main goal of this paper consists in the modeling of rate-dependent behavior of piezoelectric materials within a three-dimensional finite element setting. We propose a rate-dependent polarization framework which is applied to cyclic electrical loading at various frequencies. The reduction in free energy of a grain is used as a criterion for the onset of the domain switching process. Nucleation in new grains and propagation of the domain walls during domain switching is modeled by a linear kinetics theory. Averaging over all individual grains renders the macroscopic response of the bulk material. Intergranular effects, which are essential for realistic simulations, are phenomenologically captured via a probabilistic approach. The presented numerical examples, as based on the proposed three-dimensional finite element framework, are related to the simulation of PIC-151 ceramics. In particular, averaged electric displacement versus electric field curves are plotted and compared with experimental data reported in the literature.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Studies on rate-dependent switching effects of piezoelectric materials using a finite element model

Arockiarajan

Delibas

Menzel

et al. 2006

Computational Materials Science

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“…Concerning the switching process itself, initialization of domain switching is, for instance, initiated if the reduction of potential energy exceeds a certain threshold; compare McMeeking (1998a, 1998b). Alternative formulations, e.g., based on volume fraction concepts are elaborated by Chen et al (1997) among others. Li and Weng (2001) recently proposed a formulation wherein thermodynamic considerations motivated the reduction in Gibbs free energy to serve as the driving force for switching.…”

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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“…Modeling efforts tried to bridge the gap between the micromechanics of the crystal structure and the macroscopic properties of piezoceramics under high electro-mechanical conditions (Chen et al, 1997;Fan et al, 1999;Hwang and McMeeking, 2000;Huber and Fleck, 2001). Carman (2001, 2002) characterized the piezoelectric domain switching using macroscopic quantities through a law of mixtures.…”

Section: State Of the Art In Active Materials Actuators Modeling And Cmentioning

confidence: 99%

High-Field Characterization of Piezoelectric and Magnetostrictive Actuators

Pomirleanu

Giurgiutiu

2004

Journal of Intelligent Material Systems and Structures

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High-field theoretical and experimental analysis of piezoelectric and magnetostrictive actuators is presented. First, the analysis of a piezoelectric stack actuator (PiezoSystems Jena PAHL 120/20) is described. A theoretical model based on the linear theory of piezoelectricity is developed. Extensive experiments were conducted, aimed at lowfrequency dynamic electro-mechanical behavior characterization. Curve fitting procedures are used to adjust the model coefficients for various load levels. Through comparison with experimental data, the model is adjusted to include nonlinear terms related to higher losses on the unloading cycle. Second, the impedance analysis of a magnetostrictive actuator (Etrema AA140J025) is described. Linear piezomagnetism is assumed, as an approximation to nonlinear magnetostrictive behavior about a bias point. Low-field and high-field impedance measurements were performed, revealing left shifting of the actuator resonance as the power is increased. Model tuning of the impedance model on the experimental data showed material parameters trends similar with those reported in the literature. Although the numerical values developed during this phenomenological study are particular for the actuators under consideration, the characterization approach can be extended to analysis of other actuators of this type.

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Micromechanics simulation of ferroelectric polarization switching

Cited by 94 publications

References 10 publications

Studies on rate-dependent switching effects of piezoelectric materials using a finite element model

Studies on rate-dependent switching effects of piezoelectric materials using a finite element model

Computational modeling of rate-dependent domain switching in piezoelectric materials

High-Field Characterization of Piezoelectric and Magnetostrictive Actuators

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