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Acta Mechanica

Erschienen in:

14.08.2019 | Original Paper

Pure bending of a piezoelectric layer in second gradient electroelasticity theory

verfasst von: Yury Solyaev, Sergey Lurie

Erschienen in: Acta Mechanica | Ausgabe 12/2019

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Abstract

The semi-inverse analytical solution of a pure bending problem for a piezoelectric layer is developed in the framework of linear electroelasticity theory with strain gradient and electric field gradient effects. The simplified gradient theory of transversely isotropic material with a single additional length scale parameter is considered. A two-dimensional solution is derived assuming plane strain state of a layer (cylindrical bending of a plate) and low dielectric properties of the surrounding medium. The electromechanical response of a layer is found under conditions of prescribed bending moments at the end faces. Boundary conditions on the top and bottom surfaces of a layer are satisfied exactly. The analytical solution is validated based on numerical finite element modeling. It is shown that the obtained solutions can be used for the validation of size-dependent beam and plate models in the second gradient electroelasticity theory.

Vorheriger Artikel Effective elasticity tensors of fiber-reinforced composite materials with 2D or 3D fiber distribution coefficients

Nächster Artikel Extended JKR theory on adhesive contact of coated spheres

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Titel: Pure bending of a piezoelectric layer in second gradient electroelasticity theory
verfasst von: Yury Solyaev
Sergey Lurie
Publikationsdatum: 14.08.2019
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 12/2019
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02484-x

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