Electroelastic effect induced by electrode embedded at the interface of two piezoelectric half-planes

Narita, Fumio; Yoshida, M.; Shindo, Yasuhide

doi:10.1016/j.mechmat.2003.04.003

Cited by 30 publications

(10 citation statements)

References 9 publications

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“…In particular, , , In what follows we compare the present results with the previous. Although a similar problem has been studied by Ru [15] , who obtained that an oscillatory singularity may exist near the electrode edges, and does not occur for particular cases where the upper and lower piezoelectric half-planes are identical materials with the same or opposite poling directions perpendicular to the interface, here we further find that the oscillatory singularity will not take place for two arbitrary dissimilar piezoelectric solids with poling directions perpendicular to the interface, coinciding with that derived by Narita et al [16] . In addition, we observe that the normal stress ( ) ,0 zz x σ vanishes at the electrode-absent parts of the interface, in agreement with that in ref.…”

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confidence: 91%

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Electroelastic field induced by thin interface electrodes between two bonded dissimilar piezoelectric ceramics

2006

SCI CHINA SER G

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The electroelastic analysis of multiple collinear electrodes embedded at the interface of two bonded dissimilar piezoelectric ceramics is made. Within the framework of linear piezoelectricity, the Fourier transform technique is applied to reducing the problem to a singular integral equation with Cauchy kernel. Two particular cases are especially emphasized. For a single interface electrode, the electroelastic field is obtained in the entire plane of a two-phase piezoelectric composite in terms of elementary functions. For two collinear interface electrodes of equal length, a closed-form solution is determined along the interface. Obtained results reveal that near the electrode edges, the induced electroelastic field exhibits a square-root singularity, and the oscillatory singularity does not occur for arbitrary two piezoelectric ceramics poled in the same or opposite directions normal to the interface. Across the electrode, the normal component of stress is continuous, while that of strain exhibits a jump, implying strain incompatibility due to the mismatch of the material properties of two dissimilar poled ceramics.

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Section: ( )supporting

confidence: 91%

“…A problem similar to the one in ref. [15] has also been dealt with when the potential at the electrode is prescribed [16] . This paper considers the electroelastic problem of multiple collinear interface electrodes between two jointed dissimilar piezoelectric ceramics.…”

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confidence: 99%

Electroelastic field induced by thin interface electrodes between two bonded dissimilar piezoelectric ceramics

2006

SCI CHINA SER G

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“…It was found that, in addition to electric displacement and electric field, elastic stresses exhibit singular behavior near the electrode edge. Narita et al [13] investigated the static behavior of the elastic and electric variables in the vicinity of an internal electrode embedded at the interface of two dissimilar piezoelectric half-planes. Shindo et al [14] performed a theoretical and experimental study to electrodes in multilayer piezoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

A Circular Indenter on a Piezoelectric Layer

Wang

Han

2006

Arch Appl Mech

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This paper investigates a piezoelectric layer with a rigid indenter on its surface. Exact solution is given for a piezoelectric medium whose thickness is considerably larger than the diameter of the indenter. Different electrical boundary conditions that employ conducting or insulating indenters are presented. Effect of the permittivity of air (which surrounds the piezoelectric medium) is considered and is found to be negligible. Expressions for the singular mechanical and electric fields near the indenter front are established. Those expressions are useful for investigating the possible failure behavior of piezoelectric material near the indenter front. In addition, a numerical solution technique for an indentured piezoelectric layer of finite thickness is also given.

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“…There have been some previous attempts at the development of continuum solutions for punch contact and electrode problems with piezoelectric ceramics (Melkumyan, 2005(Melkumyan, , 2007Hausler and Balke, 2005;Mo et al, 2007;Narita et al, 2004Narita et al, , 2007Shindo et al, 2004). In particular, Sosa and Castro (1994) obtained solutions for point force and point charge acting on an orthotropic piezoelectric half-plane through a state space methodology in conjunction with Fourier transforms.…”

Section: Introductionmentioning

confidence: 99%

Electromechanical behaviour of a finite piezoelectric layer under a flat punch

Wang

Han

et al. 2008

International Journal of Solids and Structures

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a b s t r a c tThis paper solves the problem of a smooth and frictionless punch on a piezoelectric ceramic layer. Different electrical boundary conditions that employ conducting or insulating punches are presented. The stress and electric displacement intensity factors are used to characterize the electromechanical fields at the punch tip. The field intensity factors are obtained numerically for finite layer thickness. Effects of the thickness of the piezoelectric layer on the stress and electric displacement, and the stress and electric displacement intensity factors at the punch tip are discussed. Solution technique for two identical and collinear surface punches on the piezoelectric layer is also provided and the effect of relative distance between the punches is investigated. Numerical results for some interesting special cases, such as conducting punch and insulating punch, and infinite piezoelectric layer thickness, are presented.

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Electroelastic effect induced by electrode embedded at the interface of two piezoelectric half-planes

Cited by 30 publications

References 9 publications

Electroelastic field induced by thin interface electrodes between two bonded dissimilar piezoelectric ceramics

Electroelastic field induced by thin interface electrodes between two bonded dissimilar piezoelectric ceramics

A Circular Indenter on a Piezoelectric Layer

Electromechanical behaviour of a finite piezoelectric layer under a flat punch

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