Fatigue crack growth in ferroelectrics under electrical loading

Shieh, Jay; Huber, J. E.; Fleck, N.A.

doi:10.1016/j.jeurceramsoc.2004.10.002

Cited by 58 publications

(42 citation statements)

References 27 publications

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“…As for the crack propagation path under cyclic electric field, it is found that the crack propagates predominantly in the direction perpendicular to the applied electric field, which was also previously reported for polycrystalline ferroelectric ceramics (Cao and Evans 1994;Zhu et al 1999;Fang et al 2004;Schneider and Heyer 1999;Shieh et al 2006). This is easy to understand because a crack will strongly intensify the component of an applied field perpendicular to it but hardly disturb the component parallel to it.…”

Section: Resultssupporting

confidence: 74%

“…Zhu et al (1999);Fang et al (2005) demonstrated that apparent fatigue crack growth takes place when the applied field magnitude is below E c . As for the crack propagation path, it was revealed that the initial cracks introduced by Vicker's indentation grew in a direction predominantly normal to the electric field (Fang et al 2005(Fang et al , 2007Cao and Evans 1994;Zhu et al 1999;Fang et al 2004;Schneider and Heyer 1999;Shieh et al 2006), while crack propagation deviated from the applied electric field direction was also found (Fang et al 2007;Tan et al 2000;Xu 2003). Crack branching or bifurcation was reported for both ferroelectric ceramics and single crystals under cyclic electric loading (Lynch et al 1995;Fang et al 2005;Shieh et al 2006).…”

Section: Introductionmentioning

confidence: 91%

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In-situ observation of fatigue crack growth for $${\langle001\rangle}$$ -oriented rhombohedral Pb(Mg1/3 Nb2/3)O3–PbTiO3 ferroelectric single crystal

et al. 2008

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In-situ observation of the electrically induced fatigue crack growth is carried out for 001 -oriented (Pb(Mg 1/3 Nb 2/3 )O 3 ) 0.72 -(PbTiO 3 ) 0.28 (PMN-28PT) ferroelectric single crystals under alternating electric field. It is found that apparent crack growth takes place even though the peak value of the applied electric field is below E c . The crack propagation is a repeated process of advancement in small increments, followed by a sudden increase in the crack length. When the crack tip pops-in, there is a tendency for branching. The test data suggest that the variation of the crack boundary condition may contribute to the observed electrically induced crack growth behavior.

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Section: Resultssupporting

confidence: 74%

Section: Introductionmentioning

confidence: 91%

In-situ observation of fatigue crack growth for $${\langle001\rangle}$$ -oriented rhombohedral Pb(Mg1/3 Nb2/3)O3–PbTiO3 ferroelectric single crystal

et al. 2008

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“…Several experiments have reported electric-field induced crack growth of ferroelectric ceramics from insulating notches [50,73,74,76,105,128,129]. However, related theoretical approaches show that electric field loading, perpendicular to an insulating crack, decreases the total energy release rate, i.e.…”

Section: Conducting Crack Propagation Driven By Electric Fields In Fementioning

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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“…To explain the mechanism for crack advance, they introduced a globalmismatch model based on the ferroelectric strain hysteresis. Shieh et al [26] performed experiments on through-thickness cracks in PZT with AC fields of 20 Hz and amplitudes of 0.9 E c to 3.0 E c . They found fine material debris resulting from abrasive wear on the fracture surfaces and microcracking.…”

Section: Crack Growth Due To Ac Voltagementioning

confidence: 99%