The simulation of switching in polycrystalline ferroelectric ceramics

Hwang, Stephen C.; Huber, J. E.; McMeeking, Robert M.; Fleck, N.A.

doi:10.1063/1.368219

Cited by 172 publications

(126 citation statements)

References 21 publications

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“…However, their model showed a deficiency in a comparison with measurements of uniaxial material response [22]. In order to solve the inconsistency, Hwang et al [17], Chen and Lynch [11,12], Huber et al [14] incorporated the local interaction between adjacent regions of material with differing polarization states, which was neglected in the original work of Hwang et al Kim and Jiang [20] also proposed a similar constitutive and finite element model adopting a Reuss type micromechanics assumption. Their model consists of Helmholtz free energy, switching criterion and switching kinetics; the rate of switching is assumed to be proportional to the thermodynamic driving force.…”

Section: Supplementary Notesmentioning

confidence: 99%

A rate-dependent two-dimensional free energy model for ferroelectric single crystals

Seelecke

Kim

Ball

et al. 2005

Continuum Mech. Thermodyn.

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Abstract. The one-dimensional free energy model for ferroelectric materials developed by is generalized to two dimensions. The two-dimensional free energy potential proposed in this paper consists of four energy wells that correspond to four variants of the material. The wells are separated by four saddle points, representing the barriers for 90 • -switching processes, and a local maximum, across which 180 • -switching processes take place. The free energy potential is combined with evolution equations for the variant fractions based on the theory of thermally activated processes. The model is compared to recent measurements on BaTiO 3 single crystals by Burcsu et al. [8], and predicitions are made concerning the response to the application of in-plane multi-axial electric fields at various frequencies and loading directions. The kinetics of the 90 • -and 180 • -switching processes are discussed in detail.

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Section: Supplementary Notesmentioning

confidence: 99%

A rate-dependent two-dimensional free energy model for ferroelectric single crystals

Seelecke

Kim

Ball

et al. 2005

Continuum Mech. Thermodyn.

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“…Concerning the switching process, Hwang et al [16] introduced a work energy criterion to determine the initialization of domain switching. The interaction among grains in the underlying domain has thereby been addressed by using an Eshelby inclusion method, see also Hwang et al [15]. A finite element model at the meso-scale has been developed by Hwang and McMeeking [17,18] considering purely ferroelectric and ferroelastic poly-crystals.…”

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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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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“…These results are important to the design and performance of actuators and sonar transducers. The proposed scaling law can be used for several electrical models in order to understand the hysteretic behaviour of piezoelectric materials [12][13][14]. This scaling law is interesting in order to introduce the stress as an equivalent electric field; the behavior of ferroelectric materials under a combined electric field (E) and stress (T) can thus be determined.…”

Section: Verification Of the Scaling Lawmentioning

confidence: 99%

Nonlinearity and Scaling Behavior in a Ferroelectric Materials

Hajjaji¹,

Rguiti²,

Guyomar³

et al. 2011

Ferroelectrics - Characterization and Modeling

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The simulation of switching in polycrystalline ferroelectric ceramics

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Cited by 172 publications

References 21 publications

A rate-dependent two-dimensional free energy model for ferroelectric single crystals

A rate-dependent two-dimensional free energy model for ferroelectric single crystals

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

Nonlinearity and Scaling Behavior in a Ferroelectric Materials

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