Influence of electric fields on the fracture of ferroelectric ceramics

Ricoeur, Andreas; Kuna, Meinhard

doi:10.1016/s0955-2219(02)00302-3

Cited by 75 publications

(44 citation statements)

References 22 publications

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“…The weakening effect associated with the application of negative electric fields has also been reported in experiment (Wang and Singh, 1997;Shindo et al, 2002;Fu and Zhang, 2000;Jiang et al, 2009). The polarization reversal effect of an applied electrical load above the coercive field has been reported by Ricoeur and Kuna (2003). All of these observations are in agreement with our simulation results presented above.…”

Section: Propagating Cracks In Ferroelectricssupporting

confidence: 91%

“…The magnitude of the enhancement effect depends on the crack conditions, being stronger for EC cracks. Experimental results show a qualitatively similar effect of electrical loads on the crack propagation in poled ferroelectrics (Ricoeur and Kuna, 2003;Wang and Singh, 1997;Shindo et al, 2002;Jiang et al, 2009). 6.…”

Section: Discussionmentioning

confidence: 58%

“…It is noteworthy that the experimental results by Ricoeur and Kuna (2003) show a retarding effect of a positive electric field on the crack propagation in BaTiO 3 . This retarding effect is also observed in other experiments in PZT (Wang and Singh, 1997;Shindo et al, 2002) and PMN PT (Jiang et al, 2009).…”

Section: Propagating Cracks In Ferroelectricsmentioning

confidence: 87%

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Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

Abdollahi

Arias

2012

Journal of the Mechanics and Physics of Solids

140

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a b s t r a c tWe present a family of phase field models for fracture in piezoelectric and ferroelectric materials. These models couple a variational formulation of brittle fracture with, respectively, (1) the linear theory of piezoelectricity, and (2) a Ginzburg Landau model of the ferroelectric microstructure to address the full complexity of the fracture phenomenon in these materials. In these models, both the cracks and the ferroelectric domain walls are represented in a diffuse way by phase fields. The main challenge addressed here is encoding various electromechanical crack models (introduced as crack face boundary conditions in sharp models) into the phase field framework. The proposed models are verified through comparisons with the corresponding sharp crack models. We also perform two dimensional finite element simulations to demonstrate the effect of the different crack face conditions, the electromechanical loading and the media filling the crack gap on the crack propagation and the microstructure evolution. Salient features of the results are compared with experiments.

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Section: Propagating Cracks In Ferroelectricssupporting

confidence: 91%

Section: Discussionmentioning

confidence: 58%

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Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

Abdollahi

Arias

2012

Journal of the Mechanics and Physics of Solids

140

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“…• A negative electric field (below the coercive field) enhances the crack propagation perpendicular to the initial polarization in ferroelectrics, while a positive electric field retards it [5,50,95,106,121].…”

Section: Discussionmentioning

confidence: 99%

“…Experiments on insulating cracks have shown that a positive electric field promotes crack extension perpendicular to the poling axis of the material, whereas a negative electric field retards it [75,101,112,116]. Other tests have indicated an opposite phenomenon, where their results show that a positive applied electric field inhibits crack propagation, whereas crack propagation is enhanced under a negative applied electric field [50,95,106,121]. On the other hand, experiments do not show a clear shielding or weakening effect of the microstructure on insulating cracks oriented parallel to the poling and electric field direction [112,116].…”

Section: Introductionmentioning

confidence: 99%

Phase-Field Modeling of Fracture in Ferroelectric Materials

Abdollahi

Arias

2014

Arch Computat Methods Eng

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This paper presents a family of phase-field models for the coupled simulation of the microstructure formation and evolution, and the nucleation and propagation of cracks in single and polycrystalline ferroelectric materials. The first objective is to introduce a phase-field model for ferroelectric single crystals. The model naturally couples two existing energetic phasefield approaches for brittle fracture and ferroelectric domain formation and evolution. Simulations show the interactions between the microstructure and the crack under mechanical and electromechanical loadings. Another objective of this paper is to encode different crack face boundary conditions into the phase-field framework since these conditions strongly affect the fracture behavior of ferroelectrics. The smeared imposition of these conditions are discussed and the results are compared with that of sharp crack models to validate the proposed approaches. Simulations show the effects of different conditions and electromechanical loadings on the crack propagation. In a third step, the model is modified by introducing a crack non-interpenetration condition in the variational approach to fracture accounting for the asymmetric behavior in tension and compression. The modified model makes it possible to explain anisotropic crack growth in ferroelectrics under the Vickers indentation loading. This model is also employed for the fracture analysis of multilayer ferroelectric actuators, which shows the potential of the model for future applications. The coupled phase-field model is also extended to polycrystals by introducing realistic polycrystalline microstructures in the model.

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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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Influence of electric fields on the fracture of ferroelectric ceramics

Cited by 75 publications

References 22 publications

Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions

Phase-Field Modeling of Fracture in Ferroelectric Materials

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

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