PSI - Issue 72

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ScienceDirect

Procedia Structural Integrity 72 (2025) 13–19

Keywords: Plate, antisymmetric bending; cracks closure; integral equation 1. Introduction The thin-walled plates as structural elements are of great scientific-practical interest for modeling their behavior in mechanical engineering under complex stress conditions. Defects like cracks may appear in material during operation or manufacturing which lead to a decrease of structural strength. The theoretical investigation of influence of cracks on stressed state, integrity and functionality of structural elements remains an important problem of solid mechanics. Abstract The phenomenon of parallel cracks closure during antisymmetric plate bending is investigated in a two-dimensional formulation within the framework of the classical plane stressed state and plate bending theory. The previously proposed model of the smooth contact of the cracks edges along the lines in the front surfaces of the plate is developed and the method of singular integral equations is used. Based on the numerical simulation, the dependence of the force and moments intensity factors near the crack tips and the contact reaction on the edges of the cuts on the distance between the defects was investigated. For the case of distant cracks, an analytical approximation of the solution was also constructed using the small parameter method. © 2026 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 Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia 12th Annual Conference of Society for Structural Integrity and Life (DIVK12) Equilibrium of an elastic plate with parallel contact cracks under antisymmetric bending Taras Dalyak a , Ivan Shatskyi a, *, Igor Shopa a a Laboratory of modelling of damping systems, Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, 3, Mykytynetska Str., Ivano-Frankivsk, 76002, Ukraine

* Corresponding author. Tel.:+380-99-444-4967; fax: +380-342- 547-139. E-mail address: ipshatsky@gmail.com.

2452-3216 © 2026 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 Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia 10.1016/j.prostr.2025.08.068