PSI - Issue 40

Kirill E. Kazakov et al. / Procedia Structural Integrity 40 (2022) 201–206 Kirill E. Kazakov / Structural Integrity Procedia 00 (2022) 000 – 000

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5. Conclusions In the expression for contact stresses in the area of interaction (6), functions associated with the thickness of the coating and the outer radius of the insert are highlighted as separate terms and factors. Therefore, when carrying out real calculations, it is possible to use the relatively small number of terms in a series, thereby eliminating the accumulation of computational error and ensuring that high accuracy due to the successful representation of the solution. This will allow researchers and engineers to correctly take into account profiles of contacting surfaces. It is important for analyzing the stress-strain state of the pipe with an insert placed in it. The solution obtained provides the ability to conduct a more accurate analysis of such a coupling when evaluating the durability and reliability of The present work was partially supported by the Ministry of Science and Higher Education within the framework of the Russian State Assignment (contract No. AAAA-A20-120011690132-4) and partially supported by Russian Foundation for Basic Research (project No. 19-51-60001). References Parshin, D.A., 2020, Mathematical modelling of the process of internal technological stress fields development in cylindrical solids being layer by-layer made of ageing viscoelastic materials, Journal of Physics Conference Series 1479, 012145, doi: 10.1088/1742-6596/1479/1/012145. Parshin, D.A., 2021, Technological controlling the contact pressure onto a cylindrical substrate from a coating being formed additively on its outer surface, AIP Conference Proceedings, 2340, 040005, doi: 10.1063/5.0047838. Manzhirov, A.V., Chernysh, V.A., 1988, Contact problem for a layered inhomogeneous aging cylinder reinforced by a rigid ring, Jornal of Applied Mechanics and Technical Physics, 31 (6), 894 – 900, doi: 10.1007/BF00854204. Arutyunyan, N.Kh., Manzhirov, A.V., 1999, Contact Problems in the Theory of Creep, Izd-vo Inst. Mekhaniki NAN Armenii, Erevan [in Russian]. Kazakov, K.E., 2021 On the influence of interlayer nonuniformity on contact characteristics during the interaction of a pipe and a rigid cylindrical insert, Key Engineering Materials, 887, 706 – 710, doi: 10.4028/www.scientific.net/kem.887.706. Kazakov, K.E., Kurdina, S.P., 2021, Interaction of viscoelastic tube with inner nonuniform coating of variable thickness and rigid cylindrical insert, Key Engineering Materials, 894, 67 – 71, doi: 10.4028/www.scientific.net/kem.894.67. Arutyunyan, N.Kh., 1952, Several Problems of the Theory of Creep, Gostekhizdat, Moscow, Leningrad [in Russian]. Kazakov, K.E., Manzhirov, A.V., 2008, Conformal contact between layered foundations and punches, Mechanics of Solids, 43 (3), 512 – 524, doi: 10.3103/S0025654408030229. Manzhirov, A.V., Kazakov K.E., 2018, Modeling the contact interaction between a nonuniform foundation and a rough punch, Mathematical Models and Computer Simulations, 10 (3), 314 – 321, doi: 10.1134/S2070048218030109. the design as a whole. Acknowledgements