PSI - Issue 59

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000 – 000

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ScienceDirect

Procedia Structural Integrity 59 (2024) 724–730

© 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers Abstract A tunnel crack with finite electrical permeability between two piezoelectric rectangular parallelepipeds is investigated. Assuming at the beginning that the width of the crack is much smaller than the size of the body, we consider the crack in an infinite bimaterial space. Assuming also that the external loading does not change along the coordinate co-directed with the crack front, the plane strain problem for the middle section of the 3-D domain is considered. An analytical solution to this problem has been found, and the electric flux through the crack region has been defined. Using this flux as an initial approximation for the 3-D case and choosing certain characters of materials, geometry and loading, the finite element method (FEM) is applied. Refining the finite element mesh at the crack region, especially at its fronts, was used. An iterative algorithm for determining the electric flux through the crack region was applied, and the results were presented in table and graph forms. © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers Keywords: piezoelectric bimaterial; limited permeable interface crack; spatial deformation Abstract A tunnel crack with finite electrical permeability between two piezoelectric rectangular parallelepipeds is investigated. Assuming at the beginning that the width of the crack is much smaller than the size of the body, we consider the crack in an infinite bimaterial space. Assuming also that the external loading does not change along the coordinate co-directed with the crack front, the plane strain problem for the middle section of the 3-D domain is considered. An analytical solution to this problem has been found, and the electric flux through the crack region has been defined. Using this flux as an initial approximation for the 3-D case and choosing certain characters of materials, geometry and loading, the finite element method (FEM) is applied. Refining the finite element mesh at the crack region, especially at its fronts, was used. An iterative algorithm for determining the electric flux through the crack region was applied, and the results were presented in table and graph forms. © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers Keywords: piezoelectric bimaterial; limited permeable interface crack; spatial deformation VII International Conference “In -service Damage of Materials: Diagnostics and Prediction ” (DMDP 2023) 3-D analysis of a crack with finite electrical permeability between two piezoelectric materials M. Levchenko a , Y. Lapusta b , V. Loboda a * a Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro, 49010, Ukraine b Université Clermont Auvergne, CNRS, Clermont Auvergne INP, Institut Pascal, F-63000 Clermont-Ferrand, France VII International Conference “In -service Damage of Materials: Diagnostics and Prediction ” (DMDP 2023) 3-D analysis of a crack with finite electrical permeability between two piezoelectric materials M. Levchenko a , Y. Lapusta b , V. Loboda a * a Department of Theoretical and Computational Mechanics, Oles Honchar Dnipro National University, Gagarin Av., 72, Dnipro, 49010, Ukraine b Université Clermont Auvergne, CNRS, Clermont Auvergne INP, Institut Pascal, F-63000 Clermont-Ferrand, France

* Corresponding author. Tel.: +38 097 3647266; fax: +38 056 374 98 42 E-mail address: loboda@dnu.dp.ua * Corresponding author. Tel.: +38 097 3647266; fax: +38 056 374 98 42 E-mail address: loboda@dnu.dp.ua

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers 2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of DMDP 2023 Organizers 10.1016/j.prostr.2024.04.103