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Continuum Mechanics and Thermodynamics
Published in: Continuum Mechanics and Thermodynamics 4/2021

16-03-2021 | Original Article

Analytical expressions for the displacements of a surface of piezoelectric FGM-coated half-plane with a strip electrode

Authors: Andrey S. Vasiliev, Sergei S. Volkov, Evgeniy A. Kislyakov, Vladimir A. Irkha

Published in: Continuum Mechanics and Thermodynamics | Issue 4/2021

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Abstract

Electroelastic piezoelectric transversely isotropic half-plane with a homogeneous or a functionally graded coating is considered. Independent arbitrary variation of electroelastic properties in depth is assumed for a functionally graded coating. A strip electrode is attached to the surface of the coating. Electric potential difference is applied through an electrode which leads to electroelastic deformation of the coated half-plane. Integral transformation technique is used to reduce the problem to solution of a dual integral equation which is solved using the approximated analytical method. Asymptotically, exact analytical expressions for the displacements, electric potential and electric induction on the surface of the coating are obtained. Numerical results illustrate the difference between the distribution of displacements and electric potential on a surface for non-coated half-plane and half-plane with a homogeneous or a functionally graded coating. Influence of relative coating thickness on the results is analyzed. Differences between the results for functionally graded and homogeneous coatings are discussed.
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Metadata
Title
Analytical expressions for the displacements of a surface of piezoelectric FGM-coated half-plane with a strip electrode
Authors
Andrey S. Vasiliev
Sergei S. Volkov
Evgeniy A. Kislyakov
Vladimir A. Irkha
Publication date
16-03-2021
Publisher
Springer Berlin Heidelberg
Published in
Continuum Mechanics and Thermodynamics / Issue 4/2021
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-021-00991-8

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