PSI - Issue 40

ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com Sci nceDire t Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 40 (2022) 201–206

© 2022 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 the scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics of Materials and Structures. Abstract This article describes the construction of an analytical solution for the problem of interaction of a viscoelastic pipe with a thin inner coating and a rigid insert. It is assumed that the pipe and rigid insert have axial symmetry, and their axes coincide. Insert radius and internal coating thickness depend on the axial coordinate. It is shown that the stresses in the contact zone must be found from the solution of a mixed integral equation, which includes functions that describe the profiles of contacting surfaces. The solution constructed using a special approach allows us to take into account all the features of the resulting equation and find stresses in cases where the profiles are described by complex rapidly changing functions. © 2022 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 the scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Keywords: Contact problem; coatings; complex profiles; pipe; integral equation 1. Introduction To prevent corrosion of pipes, internal coatings made of a material other than the material of the main layer are often used. For example, a metal pipe can be covered from the inside with a layer of polymer material. The thickness of the resulting thin layer can be different in different sections of the pipe. This may be due to the technological 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Stru tures On accounting complex forms of surfaces in the task of interaction of a rigid insert and pipe with internal coating Kirill E. Kazakov* Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526, Russia Abstract This article describes the construction of an analytical solution for the problem of interaction of a viscoelastic pipe with a thin inner coating and a rigid inser . It is assumed that the pipe and rigid inse t have ax al symmetry, nd their axes coincide. Insert radius and internal coating thickne s depen on he axial coordinate. It is shown that the stresses in t contact zone must be found from th so uti n of a mixed int gral equa ion, which includes functions tha describe the profiles of contacting surfaces. The solution constr cted using a special approach allo s us to take into ac ou t all he features of the r ulting equation and find str s es in cases where the profiles are described by c mplex rapidly changing functions. © 2022 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 u der re ponsibility of scientific committe of the15th International C nference o Mechanics, Resource and Diagnostics of Materials and S ructur s. Keywords: Contact problem; coatings; complex profiles; pipe; integral equation 1. Introduction To prevent corrosion of pipes, internal coatings made of a material other than the material of the main layer are often used. For example, a metal pipe can be covered from the inside with a layer of polymer material. The thickness the r sulting thin layer can be different in diff rent sections of the pipe. This may be due o the technological 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures On accounting complex forms of surfaces in the task of interaction of a rigid insert and pipe with internal coating Kirill E. Kazakov* Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526, Russia

* Corresponding author. Tel.: +7-926-401-26-47; fax: +7-495-434-00-17. E-mail address: kazakov@ipmnet.ru * Corresponding author. Tel.: +7-926-401-26-47; fax: +7-495-434-00-17. E-mail ad ress: kazakov@ipmnet.ru

2452-3216 © 2022 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 the scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. 2452-3216 © 2022 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 u der re ponsibility of scientific committe of the15th Int rnational C ference o Mechanics, Resource and Diagnostics of Mate ials and Structures.

2452-3216 © 2022 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 the scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics

of Materials and Structures. 10.1016/j.prostr.2022.04.027