Studies on ferroelastic time-dependent domain-switching effects of PZT ceramics
17 Apr 2007-Vol. 6526, pp 127-135
TL;DR: In this paper, rate-dependent switching effects of ferroelastic materials are studied by means of a micromechanically-motivated approach, where the onset of domain switching is initiated as soon as a related decrease in energy per unit volume exceeds a critical value.
Abstract: In this paper, rate-dependent switching effects of ferroelastic materials are studied by means of a micromechanically
motivated approach. The onset of domain switching is thereby initiated as soon as a related
reduction in energy per unit volume exceeds a critical value. Subsequent nucleation and propagation of
domain walls during switching process are incorporated via a linear kinetics theory. Along with this micromechanical
model, intergranular effects are accounted for by making use of a probabilistic ansatz; to be
specific, a phenomenologically motivated Weibull distribution function is adopted. In view of finite-element-based
simulations, each domain is represented by a single finite element and initial dipole directions are
randomly oriented so that the virgin state of the particular bulk ceramics of interest reflects an un-poled
material. Based on a staggered iteration technique and straightforward volume averaging, representative
stress versus strain hysteresis loops are computed for various loading amplitudes and frequencies. Simulation
results for the rate-independent case are in good agreement with experimentally measure data reported
in the literature and, moreover, are extended to rate-dependent computations.
Citations
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01 Mar 2000
TL;DR: In this article, stable domain configurations resulting from a second-order ferroelectric phase transition for a finite-sized system were calculated using a two-dimensional Ginzburg-Landau model and finite-element computational method.
Abstract: Using a two-dimensional Ginzburg–Landau model and the finite-element computational method, we have calculated stable domain configurations resulting from a second-order ferroelectric phase transition for a finite-sized system. The boundary conditions applied here correspond to fully charge compensated situations, either by surface electrodes or by the injection of charges (or defects) near the sample surface. The domain wall thickness of a finite system without surface electrodes was found to become thinner as it approaches sample surfaces. This is distinctively different from that of an infinite system for which a planar wall assumption can be used. The orientation of the macroscopic polarization of a finite system without surface electrodes was found to be determined by its aspect ratio. A size effect was observed when all the dimensions were reduced simultaneously. The relaxation process in the formation of domains and the switching process have also been simulated for charge neutral boundary condition...
4 citations
References
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01 Jan 1940
1,461 citations
"Studies on ferroelastic time-depend..." refers background in this paper
...Behavior and Mechanics of Multifunctional and Composite Materials 2007, edited by Marcelo J. Dapino Proc. of SPIE Vol. 6526, 65260I, (2007) · 0277-786X/07/$18 · doi: 10.1117/12.715632 Proc. of SPIE Vol. 6526 65260I-1 The modelling of nucleation and growth mechanisms for phasetransformation in smart materials date back to the work by Avrami.3 The underlying kinetics theory of the phase changes studied is nowadays well-accepted and adopted by several scientists in the computational smart materials community....
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...The modelling of nucleation and growth mechanisms for phasetransformation in smart materials date back to the work by Avrami.(3) The underlying kinetics theory of the phase changes studied is nowadays well-accepted and adopted by several scientists in the computational smart materials community....
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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.
Abstract: 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. The dynamical matrix equation of electroelasticity is formulated and found to be reducible in form to the well-known equation of structural dynamics, A tetrahedral finite element is presented, implementing the theorem for application to problems of three-dimensional electroelasticity.
972 citations
TL;DR: In this paper, a phase-field model based on the time-dependent Ginzburg-Landau equation was used to simulate the polarization switching in a ferroelectric subjected to an electric field or a stress field.
288 citations
TL;DR: In this paper, a new concept of polarization reversal and domain dynamics in modified ferroelectrics is presented, where clusters with a reversed polarization within ferroelectric domains are nucleated under applied field in the vicinity of random fields around quenched defects.
Abstract: A new concept of polarization reversal and domain dynamics in modified ferroelectrics is presented. Accordingly, clusters with a reversed polarization within ferroelectric domains are nucleated under applied field in the vicinity of random fields around quenched defects. The random fields significantly lower the activation barrier required for nucleation, thus controlling the kinetics of polarization reversal and domain dynamics. In this model, polarization switching occurs by the breakdown of ferroelectric long-range order, through a polar cluster state.
176 citations
TL;DR: In this paper, the electric-mechanical response of a soft PZT ferroelectric ceramic subjected to combined electric and mechanical loads was investigated. And the effect of different compressive stress levels on the electromechanical response was examined.
176 citations
"Studies on ferroelastic time-depend..." refers result in this paper
...As far as the comparison with experimental data is concerned, it is observed that the incorporation of the switching probability function P renders results that even better match with measurements reported in the literature; compare Lu et al.(21)...
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