Journal ArticleDOI
A thermodynamically motivated model for ferroelectric ceramics with grain boundary effects
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TLDR
In this paper, a micromechanically motivated model is embedded into an electromechanical coupled finite element formulation in which each grain is represented by a single finite element and the initial dipole directions are assumed to be randomly oriented to mimic the virgin state of the unpoled ferroelectric polycrystal.Abstract:
The aim of this paper is to capture the grain boundary effects taking into consideration the nonlinear dissipative effects of ferroelectric polycrystals based on firm thermodynamic principles. The developed micromechanically motivated model is embedded into an electromechanically coupled finite element formulation in which each grain is represented by a single finite element. Initial dipole directions are assumed to be randomly oriented to mimic the virgin state of the unpoled ferroelectric polycrystal. An energy-based criterion using Gibbs free energy is adopted for the initiation of the domain switching process. The key aspect of the proposed model is the incorporation of effects of the constraint imposed by the surrounding grains on a switching grain. This is accomplished by the inclusion of an additional term in the domain switching criterion that is related to the gradient of the driving forces at the boundary of the grains. To study the overall bulk ceramics behavior, a simple volume-averaging technique is adopted. It turns out that the simulations based on the developed finite element formulation with grain boundary effects are consistent with the experimental data reported in the literature.read more
Citations
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Modeling and experimental characterization on temperature-dependent ferroelastic switching of 1–3 type piezocomposites
R. Jayendiran,A. Arockiarajan +1 more
TL;DR: In this article, a thermodynamically consistent uni-axial model is proposed to simulate the macroscopic behavior of ferroelastic switching on piezocomposites.
Journal ArticleDOI
Laminate-based modelling of single and polycrystalline ferroelectric materials – application to tetragonal barium titanate
TL;DR: In this article, a single crystal laminate-based model is established by considering the average strain and polarisation compatibility conditions and a suitable thermodynamic electric Gibbs energy and a rate-dependent dissipation equation are postulated to capture the dissipative hysteretic material response.
Journal ArticleDOI
Experimental and theoretical studies on ferroelastic switching of 1-3 type piezocomposites
R. Jayendiran,A. Arockiarajan +1 more
TL;DR: In this article, a simplified uni-axial micro-macro-mechanical model based on thermodynamic framework is developed to predict the behavior of 1-3 piezocomposites.
Journal ArticleDOI
Variations in predicting domain switching of ferroelectric ceramics
TL;DR: In this article, a set of equivalent variational formulations for computing the driving forces for domain switching in ferroelectric materials is presented, which allow the free adoption of any couple of mechanical and electric fields as independent variables while obtaining consistent results.
Journal ArticleDOI
Unidimensional model of polarisation changes in piezoelectric ceramics based on the principle of maximum entropy production
C. M. Sands,Igor Guz +1 more
TL;DR: In this paper, a one-dimensional model for piezoelectric ceramics developed using the principle of maximum entropy production is presented, where changes in polarisation are assumed to occur only as a consequence of domain wall movement.
References
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Journal ArticleDOI
Finite element method for piezoelectric vibration
Henno Allik,Thomas J. R. Hughes +1 more
TL;DR: In this paper, a finite element formulation which includes the piezoelectric or electroelastic effect is given, a strong analogy is exhibited between electric and elastic variables, and a stiffness finite element method is deduced.
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Ferroelectric/ferroelastic interactions and a polarization switching model
TL;DR: In this article, lead lanthanum zirconate titanate (PLZT) was loaded with compressive stress parallel to the polarization and the stress vs strain curve was recorded.
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The effect of uniaxial stress on the electro-mechanical response of 8/65/35 PLZT
TL;DR: In this article, the limitations of linear constitutive modeling and limitations of this composition of PLZT as an actuator material are examined, and the "yield" or ferroelastic switching stress is suggested as a good criteria for assessing the capability of actuator ceramics.
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Ferroelectric and ferroelastic piezoceramics – modeling of electromechanical hysteresis phenomena
Journal ArticleDOI
A constitutive model for ferroelectric polycrystals
TL;DR: In this paper, a constitutive model for the non-linear switching of ferroelectric polycrystals under a combination of mechanical stress and electric field is developed for nonlinear switching, where the switching event, which converts one crystal variant into another, gives rise to a progressive change in remanent strain and polarisation.