Modified boundary layer analysis of an electrode in an electrostrictive material

Beom, Hyeon Gyu; Kim, Y. H.; Kim, C. B.; Cho, C.

doi:10.1007/s00419-007-0151-z

Cited by 9 publications

(5 citation statements)

References 17 publications

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“…They derived the energy release rate for the electrically yielded finite crack in a piezoelectric ceramic. As indicated by Beom et al (2008), the difference between the polarization saturation model and the electric displacement saturation model is nearly indistinguishable for typical electrostrictive materials. In analyzing the problem, we will utilize the electric displacement saturation model given by…”

Section: Asymptotic Problemmentioning

confidence: 89%

“…Beom et al (2006) investigated the influence of the transverse electric displacement on fracture behavior of the electrostrictive materials. The modified boundary-layer analysis for an electrostrictive material with an electrode layer was also carried out under the small-scale saturation condition (Beom et al, 2008). Li and Chen (2007) analyzed the semi-permeable interface crack between dissimilar piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of an electrode embedded between dissimilar electrostrictive materials

Kim

Beom

2009

International Journal of Solids and Structures

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a b s t r a c tThe asymptotic problem of an electrode that is embedded between dissimilar electrostrictive materials and subjected to electric loading is numerically analyzed by using the finite element method. Electrostatic analysis for the asymptotic problem is conducted under the small-scale saturation condition on the basis of the mathematical equivalence between anti-plane shearing and electrostatics. The distribution of the electric displacement fields is obtained. It is shown that the shapes of the saturation zones are affected by the ratios of the permittivities and the saturated electric displacements between the dissimilar electrostrictive materials. Stress fields that are generated for matching incompatible strains, which are induced by non-uniform electric displacement fields, are numerically calculated for various combinations of the material properties. Also, stress intensity factors for arbitrary small cracks that are initiated from the edge of an electrode are evaluated. Behaviors of cracking that may take place at the edge of an electrode are discussed.

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Section: Asymptotic Problemmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of an electrode embedded between dissimilar electrostrictive materials

Kim

Beom

2009

International Journal of Solids and Structures

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“…Hence, electric displacement fields are represented as a function of only electric fields. Further, the difference between the polarization saturation model and the electric displacement saturation model is nearly indistinguishable for a typical electrostrictive material [4]. Therefore, the behavior of electrostrictive materials obeys the electric displacement saturation model given by…”

Section: Asymptotic Problemmentioning

confidence: 97%

“…The analytic solution of elastic fields for an impermeable crack in an electrostrictive material was attained by employing the strip saturation model [2]. The modified boundary layer analysis for an electrostrictive material with an impermeable crack and an electrode layer was carried out [3,4]. Until now, most researchers of fracture mechanics for electrostrictive materials have concentrated on homogeneous electrostrictive materials except for Ru et al [9] who examined the interface crack between an electrostrictive material and an electrode layer.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factors for an interface crack with impermeable surfaces between dissimilar electrostrictive materials

Kim

Beom

2009

Arch Appl Mech

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The asymptotic problem of a semi-infinite interface crack between dissimilar electrostrictive materials that are subjected to electric loading is numerically analyzed by using the finite element method. Numerical results of electric displacement fields are obtained on the basis of the mathematical equivalence of the mode III problem and an electrostatic problem. The shape and the size of saturation zones are explored as a function of the ratio of the saturated electric displacements of dissimilar electrostrictive materials. In contrast with conventional wisdom, the ratio of the permittivities is shown to exert a negligibly small influence on electric displacement fields. For various combinations of the material properties of dissimilar electrostrictive materials, stress fields and stress intensity factors are systemically calculated by using the numerical results of electric displacement fields. The effects of the electric, elastic, and electrostrictive properties on stress intensity factors are demonstrated.

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“…This method was applied to investigate interfacial cracking in the vicinity of an electrode edge. A modified boundary layer analysis for the asymptotic problem of an electrode in an electrostrictive material was carried out [10]. Here, the effects of the transverse electric displacement fields on the stress intensity factor of Mode II were examined.…”

Section: Introductionmentioning

confidence: 99%

Effects of floating electrodes on the reliability of electrostrictive ceramic multilayer actuators

Kim¹,

Beom²

2009

Smart Mater. Struct.

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To investigate the toughness enhancing effect of a floating electrode on an actuator, a conventional actuator and an actuator with a floating electrode are numerically analyzed using the finite element method. Electrostatic analysis is performed for both types of actuators based on an assumption of the mathematical equivalence between out-of-plane deformation and electrostatics. The electric behavior of a ceramic is idealized by the electric displacement saturation model. The numerical results of electric fields and electric displacement fields are obtained from the electrostatic analysis. For both types of actuators, the self-equilibrating stress fields induced by a non-uniform distribution of the electric displacement fields are computed using the finite element method. The stress intensity factors for a flaw-like crack nucleated from the edge of an internal electrode are evaluated for each case. We found that the stress intensity factor for the actuator with a floating electrode is smaller than the factor for the conventional actuator when the length of the flaw-like crack is approximately equal to the grain size. Thus, we conclude that actuators with floating electrodes have higher reliability than conventional actuators.

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Modified boundary layer analysis of an electrode in an electrostrictive material

Cited by 9 publications

References 17 publications

Numerical analysis of an electrode embedded between dissimilar electrostrictive materials

Numerical analysis of an electrode embedded between dissimilar electrostrictive materials

Stress intensity factors for an interface crack with impermeable surfaces between dissimilar electrostrictive materials

Effects of floating electrodes on the reliability of electrostrictive ceramic multilayer actuators

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