Two-Dimensional Electrostriction

Knops, R. J.

doi:10.1093/qjmam/16.3.377

Cited by 66 publications

(43 citation statements)

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“…The situation in earlier investigations on electroelastic problems is more confusedly, such as in the electroelastic analysis of an infinite plate with an elliptic hole or rigid inclusion, in which the Maxwell stress and its corresponding body force were not considered. The constitutive equations of an isotropic material adopted by some authors were [6][7][8][9] …”

Section: Introductionmentioning

confidence: 99%

Some problems in electrostrictive and magnetostrictive materials

Kuang

2007

Acta Mech. Solida Sin.

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Some of the previous theories in the electrostrictive and magnetostrictive materials and their differences are discussed in this paper. A variational principle in the general thermodynamic sense is given and the governing equations can be derived from this principle. Illustrational examples are given. KEY WORDS electrostrictive and magnetostrictive materials, energy variational principle, governing equation, electromagnetive ponderomotive force

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Section: Introductionmentioning

confidence: 99%

Some problems in electrostrictive and magnetostrictive materials

Kuang

2007

Acta Mech. Solida Sin.

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“…The repetition of an index in a term denotes a summation with respect to that index over its range 1 to 2 for a Roman letter lowercase. General solutions for the displacement field that satisfies the equilibrium equations for a homogeneous isotropic linear electrostrictive solid, and the corresponding stress components may be written in terms of three analytic functions as [18]:…”

Section: Perturbation Analysis Of Stress Fieldsmentioning

confidence: 99%

Modified boundary layer analysis of an electrode in an electrostrictive material

Beom

Kim

et al. 2007

Arch Appl Mech

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A thin electrode embedded in an electrostrictive material under electric loading is investigated. In order to obtain an asymptotic form of electric fields and elastic fields near the electrode edge, we consider a modified boundary layer problem of an electrode in an electrostrictive material under the small scale saturation condition. The exact electric solution for the electrode is obtained by using the complex function theory. It is found that the shape of the electric displacement saturation zone is sensitive to the transverse electric displacement. A perturbation solution of stress fields induced by incompatible electrostrictive strains for the small value of the transverse electric displacement is obtained. The influence of transverse electric displacement on a microcrack initiation from the electrode edge is also discussed.

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“…Knops [14] presented a complex variable method for solving a two dimensional linear electrostriction problem. For a linear electrostrictive material, a general solution for the elastic fields may be written in terms of complex functions as:…”

Section: Elastic Fields For a Sheetmentioning

confidence: 99%

A Crack with an Electric Displacement Saturation Zone in an Electrostrictive Material

et al. 2006

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A crack with an electric displacement saturation zone in an electrostrictive material under purely electric loading is analyzed. A strip saturation model is here employed to investigate the effect of the electrical polarization saturation on electric fields and elastic fields. A closed form solution of electric fields and elastic fields for the crack with the strip saturation zone is obtained by using the complex function theory. It is found that the K I -dominant region is very small compared to the strip saturation zone. The generalized Dugdale zone model is also employed in order to investigate the effect of the saturation zone shape on the stress intensity factor. Using the body force analogy, the stress intensity factor for the asymptotic problem of a crack with an elliptical saturation zone is evaluated numerically.

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Two-Dimensional Electrostriction

Cited by 66 publications

References 0 publications

Some problems in electrostrictive and magnetostrictive materials

Some problems in electrostrictive and magnetostrictive materials

Modified boundary layer analysis of an electrode in an electrostrictive material

A Crack with an Electric Displacement Saturation Zone in an Electrostrictive Material

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