Evolution of compatible laminate domain structures in ferroelectric single crystals

Tsou, Nien‐Ti; Huber, J. E.; Cocks, A.C.F.

doi:10.1016/j.actamat.2012.10.015

Cited by 23 publications

(23 citation statements)

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“…Previous characterization of sets, or bundles, of domains has demonstrated that they can behave as collective entities, or 'superdomains' [32], in which each superdomain has a net polarization given by the vector sum of all of its constituent subdomains. This concept has been reasonably well established in literature [18,33], as part of a wider recognition that domains are often ordered on a number of different lengthscales forming heirarchical microstructures [34][35][36][37]. The vector sum of the polarization from a 1 -a 2 90 o stripe domains of equal width lies along <110> pc , perpendicular to the domain walls within each superdomain, and it is instructive to interpret the overall polarization associated with the structure in figure 1 at this mesoscale level: the phase images in figure 1 Detailed characterization of this boundary reveals further intriguing information: the area within the highlighted box in figure 1(a) has been imaged at higher resolution in two perpendicular orientations ( figure 2 (a, b)).…”

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confidence: 99%

Self-Similar Nested Flux Closure Structures in a Tetragonal Ferroelectric

Chang

Nagarajan

Scott³

et al. 2013

Nano Lett.

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Abstract:In specific solid-state materials, under the right conditions, collections of magnetic dipoles are known to spontaneously form into a variety of rather complex geometrical patterns, exemplified by vortex and skyrmion structures. While theoretically, similar patterns should be expected to form from electrical dipoles, they have not been clearly observed to date: the need for continued experimental exploration is therefore clear. In this article we report the discovery of a rather complex domain arrangement that has spontaneously formed along the edges of a thin single crystal ferroelectric sheet, due to surface-related depolarizing fields.Polarization patterns are such that nanoscale 'flux-closure' loops are nested within a larger mesoscale flux closure object. Despite the orders of magnitude differences in size, the geometric forms of the dual-scale flux closure entities are rather similar.

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confidence: 99%

Self-Similar Nested Flux Closure Structures in a Tetragonal Ferroelectric

Chang

Nagarajan

Scott³

et al. 2013

Nano Lett.

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“…In the absence of reliable kinetic relations, simulations, which are typically based on the phase field [17][18][19][20] and discrete twin boundary approaches [21,22], usually assume an over-simplified linear kinetic law. Such a kinetic law is valid only in cases where the driving force is much larger than all energy barriers for twin boundary motion.…”

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confidence: 99%

Multi-Scale Dynamics of Twinning in SMA

Faran

Shilo

2015

Shap. Mem. Superelasticity

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The mechanical response of shape memory alloys (SMA) is determined by the dynamics of discrete twin boundaries, and is quantified through constitutive material laws called kinetic relations. Extracting reliable kinetic relations, as well as revealing the physical characteristics of the energy barriers that dictate these relations, are essential for understanding and modeling the overall twinning phenomena. Here, we present a comprehensive, multi-scale study of discrete twin boundary dynamics in a ferromagnetic SMA, NiMnGa. The combination of dynamic-pulsed magnetic field experiments, in conjunction with low-rate uniaxial compression tests, leads to the identification of the dominant energy barriers for twinning. In particular, we show how different mechanisms of motion for overcoming the atomic-scale lattice potential give rise to several kinetic relations that are valid at different ranges of the driving force. In addition, a unique statistical analysis of the low-rate loading curve allows distinguishing between events at different length scales. This analysis leads to the identification of a characteristic length scale (*15 lm) for the distance between barriers that are responsible for the twinning stress property. This characteristic distance is in agreement with the typical thickness of the internal micro-twin structure, which was recently found in these materials.

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“…Laminate-based models based on mixture theory ansatz are considered for describing the non-linear hysteretic response of single crystal ferroelectrics under combined electromechanical loads, see e.g. [1][2][3]. This contribution extends the ratedependent laminate-based model [1], established for single crystal ferroelectrics, in order to predict the polarisation switching of polycrystalline ferroelectric materials, in particular barium titanate (BaTiO 3 ).…”

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confidence: 99%

A laminate‐based framework for switching and microstructure evolution in polycrystalline ferroelectrics

Dusthakar

Menzel

Svendsen

2016

Proc Appl Math and Mech

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This contribution deals with the modelling of polycrystalline ferroelectric materials considering a laminate-based approach established for single crystal tetragonal ferroelectric solids. The particular model [1] is considered and extended to predict the response of polycrystal tetragonal ferroelectric ceramics. The derived polycrystal laminate-based model is implemented in a finite element environment to simulate the domain evolution and the polarisation switching of a bulk polycrystalline ferroelectric ceramic.

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Evolution of compatible laminate domain structures in ferroelectric single crystals

Cited by 23 publications

References 50 publications

Self-Similar Nested Flux Closure Structures in a Tetragonal Ferroelectric

Self-Similar Nested Flux Closure Structures in a Tetragonal Ferroelectric

Multi-Scale Dynamics of Twinning in SMA

A laminate‐based framework for switching and microstructure evolution in polycrystalline ferroelectrics

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