Fatigue crack growth law for ferroelectrics under cyclic electrical and combined electromechanical loading

Westram, Ilona; Ricoeur, Andreas; Emrich, Andreas; Rödel, Jürgen; Kuna, Meinhard

doi:10.1016/j.jeurceramsoc.2006.09.010

Cited by 33 publications

(24 citation statements)

References 28 publications

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“…So far, it was known that an AC field with an amplitude higher than E c applied perpendicular to a crack in a ferroelectric material drives the crack, and that a small additional mechanical load leads to higher crack growth rates [28]. Our work confirms that small DC loads have no influence on the fracture toughness, and it provides additional experimental results which show, to which extent the critical mechanical loads are reduced by a small AC load with an amplitude less than 1/3 E c .…”

Section: Discussionmentioning

confidence: 99%

“…They found fine material debris resulting from abrasive wear on the fracture surfaces and microcracking. Investigation of fatigue crack growth under pure AC and combined AC electromechanical loading in PZT-DCB (double cantilever beam) samples were done by Westram et al [27,28]. They used electrical loads of 1 Hz, amplitudes of 0.9 E c to 1.9 E c , and additional constant mechanical loads that correspond to a mode I stress intensity factor of 0.1 MPa√m to 0.5 MPa√m.…”

Section: Crack Growth Due To Ac Voltagementioning

confidence: 99%

“…To explain the observations a finite element model based on large-scale domain switching was used, in which a semipermeable crack with a dielectric constant of 1 was assumed [27]. In the experiments with electromechanical loading, crack growth rates increased with the additional mechanical load [28]. Nam et al [29] applied AC, uni-and sesquipolar (sesqui (lat.…”

Section: Crack Growth Due To Ac Voltagementioning

confidence: 99%

See 2 more Smart Citations

Influence of small cyclic and DC electrical loads on the fracture toughness of ferroelectric ceramics

Engert

Neumeister

Mecklenburg

et al. 2011

Journal of the European Ceramic Society

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Section: Discussionmentioning

confidence: 99%

Section: Crack Growth Due To Ac Voltagementioning

confidence: 99%

Section: Crack Growth Due To Ac Voltagementioning

confidence: 99%

See 1 more Smart Citation

Influence of small cyclic and DC electrical loads on the fracture toughness of ferroelectric ceramics

Engert

Neumeister

Mecklenburg

et al. 2011

Journal of the European Ceramic Society

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“…Recently, Westram et al [14] studied fatigue crack growth for ferroelectrics under combined electromechanical loading. The material was exposed to a cyclic electric field in combination with static mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Some new aspects of boundary conditions at cracks in piezoelectrics

Gellmann

Ricoeur

2011

Arch Appl Mech

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Fracture mechanical investigations of piezoelectric materials as components of smart structures have become popular in the last 30 years. In the early years of research, boundary conditions at crack faces have been adopted from pure mechanical systems under the assumption that boundaries were traction free. From the electrostatic point of view, cracks have been assumed to be either free of charge or fully permeable. Later, limitedly permeable crack boundary conditions have become popular among the community, nevertheless still assuming traction-free crack faces. Recently, the theoretical framework has been extended to include electrostatically induced mechanical tractions in crack models yielding a significant crack closure effect. However, these models are still simple, neglecting, e.g., the piezoelectric field coupling. In this work, we present an extended model for crack surface tractions yielding some interesting effects. In particular, the orientation of the electrical field with respect to the poling axis becomes important. Furthermore, applying a collinear stress parallel to the crack faces influences the Mode-I stress intensity factor and a Mode-II shear loading couples to the Mode-I SIF.

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“…Westram et al [28] performed an experimental study of a ferroelectric double cantilever beam (DCB) test subjected to a combined electromechanical loading. The observations are shown in Fig.…”

Section: Applicationsmentioning

confidence: 99%

Green’s function for T-stress of semi-infinite plane crack

Cui

Yang

Zhong

2011

Appl. Math. Mech.-Engl. Ed.

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Green's function for the T -stress near a crack tip is addressed with an analytic function method for a semi-infinite crack lying in an elastical, isotropic, and infinite plate. The cracked plate is loaded by a single inclined concentrated force at an interior point. The complex potentials are obtained based on a superposition principle, which provide the solutions to the plane problems of elasticity. The regular parts of the potentials are extracted in an asymptotic analysis. Based on the regular parts, Green's function for the T -stress is obtained in a straightforward manner. Furthermore, Green's functions are derived for a pair of symmetrically and anti-symmetrically concentrated forces by the superimposing method. Then, Green's function is used to predict the domain-switchinduced T -stress in a ferroelectric double cantilever beam (DCB) test. The T -stress induced by the electromechanical loading is used to judge the stable and unstable crack growth behaviors observed in the test. The prediction results generally agree with the experimental data.

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Fatigue crack growth law for ferroelectrics under cyclic electrical and combined electromechanical loading

Cited by 33 publications

References 28 publications

Influence of small cyclic and DC electrical loads on the fracture toughness of ferroelectric ceramics

Influence of small cyclic and DC electrical loads on the fracture toughness of ferroelectric ceramics

Some new aspects of boundary conditions at cracks in piezoelectrics

Green’s function for T-stress of semi-infinite plane crack

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