Interaction of a conductive crack and of an electrode at a piezoelectric bimaterial interface

Oleg Onopriienko; Volodymyr Loboda; Alla Sheveleva; Yuri Lapusta

doi:10.1016/j.crme.2018.04.001

Interaction of a conductive crack and of an electrode at a piezoelectric bimaterial interface

Oleg Onopriienko ^1,²; Volodymyr Loboda ² ; Alla Sheveleva ³; Yuri Lapusta ¹

¹ Université Clermont Auvergne, CNRS, SIGMA Clermont, Institut Pascal, F-63000 Clermont-Ferrand, France
² Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine
³ Department of Computational Mathematics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine

Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 449-459.

Abstract

The interaction of a conductive crack and an electrode at a piezoelectric bi-material interface is studied. The bimaterial is subjected to an in-plane electrical field parallel to the interface and an anti-plane mechanical loading. The problem is formulated and reduced, via the application of sectionally analytic vector functions, to a combined Dirichlet–Riemann boundary value problem. Simple analytical expressions for the stress, the electric field, and their intensity factors as well as for the crack faces' displacement jump are derived. Our numerical results illustrate the proposed approach and permit to draw some conclusions on the crack–electrode interaction.

Received: 2017-12-24
Accepted: 2018-04-08
Published online: 2018-04-20

DOI: 10.1016/j.crme.2018.04.001

Keywords: Electrically conductive interface crack, Piezoelectric bimaterial, Electrode

Author's affiliations:

Oleg Onopriienko ^{1, 2}; Volodymyr Loboda ²; Alla Sheveleva ³; Yuri Lapusta ¹

¹ Université Clermont Auvergne, CNRS, SIGMA Clermont, Institut Pascal, F-63000 Clermont-Ferrand, France
² Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine
³ Department of Computational Mathematics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro 49010, Ukraine

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     author = {Oleg Onopriienko and Volodymyr Loboda and Alla Sheveleva and Yuri Lapusta},
     title = {Interaction of a conductive crack and of an electrode at a piezoelectric bimaterial interface},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {449--459},
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     volume = {346},
     number = {6},
     year = {2018},
     doi = {10.1016/j.crme.2018.04.001},
     language = {en},
}

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Oleg Onopriienko; Volodymyr Loboda; Alla Sheveleva; Yuri Lapusta. Interaction of a conductive crack and of an electrode at a piezoelectric bimaterial interface. Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 449-459. doi : 10.1016/j.crme.2018.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.001/

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