Ferroelectric/ferroelastic interactions and a polarization switching model

Hwang, Stephen C.; Lynch, Christopher S.; McMeeking, Robert M.

doi:10.1016/0956-7151(94)00379-v

Cited by 612 publications

(364 citation statements)

References 12 publications

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“…Depending on applied electric and mechanical loading, each of the six states has a different energy level, and the lattices in unstable states tend to change their polarization direction into the polarization direction of more stable states. By incorporating these features into a switching model, Hwang et al [16] were able to reproduce the main effects found in the macroscopic response of ferroelectric polycrystals, namely: dielectric hysteresis, butterfly hysteresis in strain versus electric field, and mechanical nonlinearity. Hwang et al argued that switching occurs when the work done by local fields during a given ferroelectric switching event exceeds a critical value.…”

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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“…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%

“…The domain switching in polycrystals is in general not homogeneous since the domain walls, which separate different phases, move through the crystal. In order to better understand and explain the non-linear properties of piezoelectric and ferroelectric materials under high electromechanical loadings, many experiments have been performed and reported in the literature; the reader is referred to the contributions by Cao and Evans [5], Hwang et al [16], Lynch [27], Lu et al [26] and references cited in these works. Research on the modeling of non-linear response of piezoceramics can be classified into two major approaches:…”

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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“…Hwang et al [2]. The electric and mechanical work that dissipates during switching can be assumed as …”

Section: Microscopic Ferroelectric/ferroelastic Switching Modelmentioning

confidence: 99%

A ferroelectric and ferroelastic microscopic switching criterion for tetragonal ferroelectrics

Keip

Schröder

2011

Proc Appl Math and Mech

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The present contribution addresses the continuum mechanical modeling of ferroelectric/ferroelastic material behavior from a microscopic point of view. An electric enthalpy function for the representation of tetragonal ferroelectrics will be introduced and combined with an energy based ferroelectric/ferroelastic switching criterion. The result is a microscopically motivated material model for the description of ferroelectric and ferroelastic switching effects in electro-mechanically coupled solids.

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Ferroelectric/ferroelastic interactions and a polarization switching model

Cited by 612 publications

References 12 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

A ferroelectric and ferroelastic microscopic switching criterion for tetragonal ferroelectrics

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