PSI - Issue 81

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ScienceDirect

Procedia Structural Integrity 81 (2026) 109–115

© 2026 The Authors. Copy from the contract: 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 2025 organizers Keywords: Elastic bimaterial; slip at the interface; single-period array of mode I cracks; boundary integral equations method; stress intensity factor 1. Introduction By integrating materials with different physical properties within piecewise-homogeneous bodies, it is possible to obtain structures with higher mechanical strength and extended service life. At the same time, due to the presence of thin-walled defects (such as cracks and inclusions), it is necessary to conduct additional monitoring of the stress-strain state of structural elements made from such materials. Most of the known results of the analysis of the strength of piecewise homogeneous bodies with flat interfaces and cracks are limited to considering the cases of ideal mechanical contact at the interface of media (Ben-Romdhane et al. (2013), Mikhas’kiv et al. (2004), Xiao et al. (2019), Yasniy et al. (2006)) and the presence of interface cracks (Andrade et al. (2023), Chai et al. (2020), Gu et al. (2021)). In practice, adhesive bonds often break at interface surfaces. Therefore, it is also important to consider non-classical boundary conditions at the interface, such as smooth contact with sliding, the presence of a thin intermediate layer between dissimilar components (Golub et al. (2021), Pasternak et al. (2023), Stankevych V. and Stankevych O. (2024), Sulim G. and Piscozub J. (2008), Zvizlo I. and Stankevych N. (2024)), and contact with friction (Bartolomeo et al. 2012). The influence of these factors on the strength of cracked bodies has not been sufficiently studied. This study aims to solve a three-dimensional static problem of the mode I load of an elastic bimaterial composed of two half spaces in smooth mechanical contact with sliding. The body contains a single-periodic array of circular cracks oriented perpendicular to the interface between the half-spaces. The boundary integral equations method is used to solve the problem. Abstract A boundary-integral approach is employed to investigate the stress-strain state of an infinite bimaterial comprising two half-spaces with a single period array of circular internal cracks subjected to static tensile loading. The interface surface of the body is subject to boundary conditions of ideal sliding contact. The problem is reduced to solving a two-dimensional boundary integral equation of the Newtonian potential type with respect to the unknown function of the rupture of the displacements of the defect surfaces. Using the solutions to the problem, the mode I stress intensity factors are calculated, and their dependence on the ratio of the stiffnesses of the bimaterial components, the distance from the defects to the interface, and the angular coordinate of the crack contour point is analyzed. VIII International Conference “In - service Damage of Materials: Diagnostics and Prediction“ (DMDP 2025) Strength of a bimaterial with slip on the interface and a single-periodic crack array Ivan Zvizlo a , Nazar Stankevych a * a Ivan Franko National University of Lviv, 1, Universytetska St., Lviv 79000, Ukraine

* Nazar Stankevych. Tel.: +380-73-418-46-87; fax. E-mail address: nazarstankevych503@gmail.com

2452-3216 © 2026 The Authors. Copy from the contract: 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 2025 organizers 10.1016/j.prostr.2026.03.020