Evaluation of electromechanical coupling effect by microstructural modeling of domain switching in ferroelectrics

Li, Qun; Ricoeur, Andreas; Enderlein, M.; Kuna, Meinhard

doi:10.1016/j.mechrescom.2010.03.003

Cited by 14 publications

(3 citation statements)

References 11 publications

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“…The so-called material body force vector g represents all possible sources for the occurrence of a configurational force, i. e. non-vanishing of Eq. (19). In case of ferrelectricity, g comprises all physical body forces b, volume charges wv , gradients of the remanent fields ε r , P r , and material inhomogeneities [18]:…”

Section: Configurational Forcesmentioning

confidence: 99%

“…Later, the material model has been implemented by several researchers as User-defined routine in FEM codes to solve field problems for two-and three-dimensional ferroelectric structures, see, e.g., [8,10,17,24,25]. For details we refer to previous publications of our research group [19,23,26]. These micromechanical material models are able to simulate the ferroelectrical domain switching and consider the elastic, piezoelectric and dielectric properties for the typical tetragonal crystal anisotropy (or other phases).…”

Section: Introductionmentioning

confidence: 99%

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Configurational forces in ferroelectric structures analyzed by a macromechanical switching model

Kozinov

Kuna

2022

Acta Mech

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Polycrystalline ferroelectric ceramics are widely used in sensors, actuators, microelectromechanical systems, etc. If a ferroelectric structure possesses some defects like voids or inhomogeneities, its reliability is reduced, and undesired non-homogeneous local concentrations of the electromechanical fields occur. Under the applied external loading, a domain switching region evolves in the vicinity of defects, which is manifested as a reorientation of the remanent polarization vector. In the current work, the nonlinear electromechanical behavior of ferroelectric ceramics is computed by means of three-dimensional finite element analysis, using the phenomenological continuum mechanics model suggested by Landis (J. Mech. Phys. Solids 50(1):127–152, 2002. https://doi.org/10.1016/s0022-5096(01)00021-7) and numerically implemented by Stark (Int. J. Solids Struct. 80:359–367, 2015. https://doi.org/10.1016/j.ijsolstr.2015.09.004). This constitutive law is combined with user-developed elements in Abaqus commercial code for nonlinear coupled electromechanical analyses. By use of the numerical simulations, the evolution of all field variables, in particular of the polarization, is tracked. In a post-processing step, the configurational forces are computed, which express the thermodynamic driving forces acting on the defect. As a typical defect, we consider a circular void in the ferroelectric structure exposed to an alternating electric field. Additionally to the void, other inhomogeneities, namely, a strip of dissimilar material as well as dielectric and piezoelectric inclusions, are investigated. For all cases, the redistribution and evolution of the configurational forces are studied. Besides the essential findings and methodology achieved in this work, the developed software can serve as a basis for further investigations on the failure of composite smart structures and explicit crack modeling using fracture mechanical concepts.

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Section: Configurational Forcesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Configurational forces in ferroelectric structures analyzed by a macromechanical switching model

Kozinov

Kuna

2022

Acta Mech

Self Cite

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“…Especially, although limited in scale-bridging method, the applications to polycrystalline piezoelectric ceramics were reported [20,21]. For nonlinear static problem including domain switching in ferroelectric materials, various fi nite element simulations were reported for single crystals [22] and polycrystals [23][24][25]. Additionally phase fi eld simulations were developed for nonlinear thermodynamic problem of ferroelectric materials [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Electron backscatter diffraction crystal morphology analysis and multiscale simulation of piezoelectric materials

Uetsuji¹,

Kuramae²,

Tsuchiya³

et al. 2013

Int. J. CMEM

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A computational approach based on electron backscatter diffraction (EBSD) measurement was proposed to estimate the effects of crystal morphology on the overall response of polycrystalline piezoelectric ceramics. EBSD-measured crystal orientations of a polycrystalline piezoelectric ceramic, barium titanate, were applied to a multiscale fi nite element simulation based on asymptotic homogenization theory. First, the orientation dependence of material properties, such as elastic compliance constants, dielectric and piezoelectric strain constants, was discussed for a single-domain crystal of tetragonal perovskite structure. The computation indicated that piezoelectric strain constants are more sensitive to crystal orientation compared with other properties. Then the single-crystalline material properties were introduced into multidirectionally oriented grains in the polycrystalline microstructure, the multiscale fi nite element analysis between macrostructure and EBSD-measured microstructure was performed. In this paper emphasis was placed on the diminution of microstructure. The authors discussed about the adverse effect on each component of macrostructural homogenized material properties, which is useful for micromechanics approaches.

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Computation of non‐linear magneto‐electric product properties of 0–3 composites

et al. 2015

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The magneto‐electric (ME) coupling of multiferroic materials is of high interest for a variety of advanced applications like in data storage or sensor technology. Since the ME coupling of single‐phase multiferroics is too low for technical applications, the manufacturing of composite structures becomes relevant. These composites generate the effective ME coupling as a strain‐induced product property. Several experiments on composite multiferroics showed remarkable ME coefficients that are orders of magnitudes higher than those of single‐phase materials. The present paper investigates the arising effective product properties of two‐phase ME composites by simulating the coupling behavior using a two‐scale finite element (FE2) homogenization approach. By means of this method, microstructures with different volume fractions of the individual phases and associated macroscopic ME coupling coefficients are considered. We investigate the influence of different magnetization states by means of the non‐linear dissipative magnetostriction material model originally established in [1]. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Evaluation of electromechanical coupling effect by microstructural modeling of domain switching in ferroelectrics

Cited by 14 publications

References 11 publications

Configurational forces in ferroelectric structures analyzed by a macromechanical switching model

Configurational forces in ferroelectric structures analyzed by a macromechanical switching model

Electron backscatter diffraction crystal morphology analysis and multiscale simulation of piezoelectric materials

Computation of non‐linear magneto‐electric product properties of 0–3 composites

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