Crack tip process zone domain switching in a soft lead zirconate titanate ceramic

Jones, Jacob L.; Motahari, S. Maziar; Varlioglu, Mesut; Lienert, U.; Bernier, Joel V.; Hoffman, Mark; Üstündag, Ersan

doi:10.1016/j.actamat.2007.06.012

Cited by 56 publications

(51 citation statements)

References 27 publications

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“…Results in Figs It is also noted that the transition zone revealed in Fig. 9(b) is very small when compared to ferroelastic toughening of Pb(Zr,Ti)O 3 [24,25] or phase transition toughening of ZrO 2 -based ceramics [4]. The main reason is that the indentation crack is only ~10 m (Fig.…”

Section: Resultsmentioning

confidence: 89%

“…On the other hand, following the same working mechanism in ZrO 2 -based structural ceramics, the volumetric strain at the phase transition in antiferroelectric materials may be exploited to toughen these functional electroceramics [21,22]. The most studied and documented toughening mechanism in functional electroceramics so far is ferroelastic toughening through localized domain switching [6,[23][24][25][26][27][28][29]. Since PbZrO 3 -based ceramics contain non-180 o antiferroelectric domains [30,31] and are ferroelastic prior to and after the phase transition [22,32], the ferroelastic toughening mechanism is still expected to contribute.…”

Section: Introductionmentioning

confidence: 99%

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Transformation toughening in an antiferroelectric ceramic

et al. 2014

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Due to a larger specific volume of the ferroelectric phase, the antiferroelectric-ferroelectric transition is believed to have an enhanced toughening effect against fracture. The toughening requires a non-recoverable transformation in the crack process zone. Complementary measurement of the crystal symmetry, dielectric constant, field-induced polarization, and Raman spectrum on ceramic Pb0.99Nb0.02 [(Zr0.57Sn0.43)0.92Ti0.08]0.98O3 indicates that the antiferroelectric and the ferroelectric states are equally stable at room temperature. Raman mapping further reveals the presence of the ferroelectric phase in a localized zone at the crack tip after unloading. A significant phase-transition-toughening effect is demonstrated in the antiferroelectric ceramic with both indentation fracture and R-curve experiments. The effect in this model composition leads to toughness values ~50% larger than other antiferroelectric ceramics with similar compositions and 60 ~ 130% higher than ferroelectric Pb(Zr,Ti)O3 ceramics. A simple analysis confirms the toughening effect from both volumetric phase transition and deviatoric domain switching during the transformation. The results suggest that other materials near phase boundaries may have similar high fracture resistance. Keywords Antiferroelectric ceramics; Phase transition toughening; Raman mapping; R-curve Disciplines Ceramic Materials | Electro-Mechanical SystemsComments NOTICE: this is the author's version of a work that was accepted for publication in Acta Materialia . Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Acta Materialia , [62, 114, (2014)

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Section: Resultsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Transformation toughening in an antiferroelectric ceramic

et al. 2014

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“…The reviews in (Kamlah 2001;Huber 2005) present related modeling approaches. The formation and evolution of the microstructure are more probable under high electromechanical loadings and near load concentrations such as the vicinity of cracks (Hackemann and Pfeiffer 2003;Jones et al 2007). Interactions between the microstructure, grain boundaries, localized stress and electric fields near the crack tips lead to the complexity of fracture phenomena in ferroelectric polycrystals.…”

Section: Introductionmentioning

confidence: 98%

Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

Abdollahi

Arias

2012

Int J Fract

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We present a phase-field model to simulate intergranular and transgranular crack propagation in ferroelectric polycrystals. The proposed model couples three phase-fields describing (1) the polycrystalline structure, (2) the location of the cracks, and (3) the ferroelectric domain microstructure. Different polycrystalline microstructures are obtained from computer simulations of grain growth. Then, a phase-field model for fracture in ferroelectric single-crystals is extended to polycrystals by incorporating the differential fracture toughness of the bulk and the grain boundaries, and the different crystal orientations of the grains. Our simulation results show intergranular crack propagation in fine-grain microstructures, while transgranular crack propagation is observed in coarse grains. Crack deflection is shown as the main toughening mechanism in the fine-grain structure. Due to the ferroelectric domain switching mechanism, noticeable fracture toughness enhancement is also obtained for transgranular crack propagation. These observations agree with experiment.

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“…Due to the underlying microscopic mechanisms, ferroelectric ceramics exhibit ferroelectric and ferroelastic switching behavior with macroscopic dielectric and butterfly hystereses (See [46,52,63] for reviews on related modeling approaches). The formation and evolution of the microstructure are the main sources of non-linearity of ferroelectrics and are more probable in the vicinity of cracks due to the intensive fields [39,51,90]. Nonlinear interactions between the microstructure and the localized stress and electric fields near the crack tip lead to the complexity of fracture in ferroelectric materials [12,41,93,104].…”

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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Crack tip process zone domain switching in a soft lead zirconate titanate ceramic

Cited by 56 publications

References 27 publications

Transformation toughening in an antiferroelectric ceramic

Transformation toughening in an antiferroelectric ceramic

Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals

Phase-Field Modeling of Fracture in Ferroelectric Materials

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