PSI - Issue 72

Available online at www.sciencedirect.com

ScienceDirect

Procedia Structural Integrity 72 (2025) 20–25

12th Annual Conference of Society for Structural Integrity and Life (DIVK12) Interaction of a functionally gradient ceramic coating with fixed and unfixed abrasive Liubomyr Ropyak a , Ivan Shatskyi b, *, Mykola Makoviichuk b , Igor Lazariev c a Department of Computerized Engineering, Ivano-Frankivsk National Technical University of Oil and Gas, 15, Karpatska Str., Ivano-Frankivsk, 76019, Ukraine b Laboratory of modelling of damping systems, Institute for Applied Problems in Mechanics and Mathematics, NAS of Ukraine, 3, Mykytynetska Str., Ivano-Frankivsk, 76002, Ukraine c National University “Zaporizhzhia Polytechnic”, 64, Zhukovskyi Str., Zaporizhzhia, 69063, Ukraine Abstract The operation of plasma-electrolytic oxidation of the surface of the metals of the valve group is an effective means of parts protecting from corrosion, overheating and mechanical overloads. The purpose of the study is to analyze the stress state and limit equilibrium of oxide ceramic coatings under the action of abrasive particles. A one-dimensional mathematical model of a functionally gradient coating as a non-homogeneous plate resting on a non-homogeneous elastic Winkler foundation has been developed. The action of a hard abrasive is considered as a local load with an arbitrarily oriented force. In an analytical form, the spatial distribution of the equivalent von Mises stress is investigated. Cases of contact with fixed and unfixed abrasive are considered. Specific calculations were made for an aluminum alloy strengthened by plasma-electrolytic oxidation. © 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

Keywords: Functionally gradient coating, ceramics, abrasive, strength, analytical model

1. Introduction Surface hardening methods are widely used to protect metal parts from wear and corrosion. A special place in this field of materials science is occupied by methods of applying thin coatings to the surface, in particular,

* 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.2025.08.069