Influence of flexoelectricity on an interface crack between two dissimilar dielectric materials
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Date
2023-06-03
Authors
Sládek, Ján
Sládek, Vladimír
Hrytsyna, Maryan
Profant, Tomáš
ORCID
0000-0002-2275-7309Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
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Abstract
In the present paper, the interface crack between two dissimilar dielectric materials under a mechanical load is investigated with including flexoelectricity effects. Flexoelectricity is a size dependent electro-mechanical coupling phenomenon, where the electric polarization is induced by a strain gradient in dielectrics. The strain gradients may potentially break the inversion symmetry in centrosymmetric crystals and polarization is observed even in all dielectric materials. The polarization is proportional to the strain gradients in the direct flexoelectricity. Layered composite structures are frequently utilized in microelectronics. Due to a poor adhesion of protection layer and basic material, the interface crack can be created there and for the prediction of failure of these structures it becomes essential to investigate distribution of the interfacial stress and strain fields. Governing equations in the gradient theory contain higher-order derivatives than in the standard continuum mechanics. Therefore, a reliable computational tool is required to solve these boundary-value problems. The mixed finite element method (FEM) is developed, where the standard C0 continuous finite elements are utilized for independent approximations of displacements and strains. The constraints between the strain gradients and displacements are satisfied by collocation at Gaussian integration points inside elements. In numerical examples, a parametric study is performed with respect to flexoelectric and elastic coefficients for both material regions. The influence of these parameters on the crack opening displacement is discussed.
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Citation
Procedia Structural Integrity. 2023, vol. 42, p. 1584-1590.
https://www.sciencedirect.com/science/article/pii/S2452321622007570?pes=vor
https://www.sciencedirect.com/science/article/pii/S2452321622007570?pes=vor
Document type
Peer-reviewed
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Published version
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Language of document
en
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Defence
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/