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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">37679</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2023-19-6-577-582</article-id><article-id pub-id-type="edn">TMWUVY</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Theory of elasticity</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Теория упругости</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Experimental-Theoretical Method for Assessing the Stiffness and Adhesion of the Coating on a Spherical Substrate</article-title><trans-title-group xml:lang="ru"><trans-title>Экспериментально-теоретический метод оценки жесткости и адгезии покрытия на сферической подложке</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0047-3679</contrib-id><name-alternatives><name xml:lang="en"><surname>Yakupov</surname><given-names>Samat N.</given-names></name><name xml:lang="ru"><surname>Якупов</surname><given-names>Самат Нухович</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD in Technical Sciences, senior researcher</p></bio><bio xml:lang="ru"><p>кандидат технических наук, старший научный сотрудник</p></bio><email>tamas_86@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6803-2330</contrib-id><name-alternatives><name xml:lang="en"><surname>Gumarov</surname><given-names>Gabdrauf G.</given-names></name><name xml:lang="ru"><surname>Гумаров</surname><given-names>Габдрауф Габдрашитович</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Physical and Mathematical Sciences, Head of the Laboratory of Radiation Chemistry and Radiobiology, E.K. Zavoisky Physical-Technical Institute, Kazan Scientific Center, Russian Academy of Sciences; Senior Researcher, Federal Research Center «Kazan Scientific Center of Russian Academy of Sciences», Institute of Mechanics and Engineering</p></bio><bio xml:lang="ru"><p>кандидат физико-математических наук, заведующий лабораторией радиационной химии и радиобиологии, Казанский физико-технический институт имени Е.К Завойского; старший научный сотрудник, Институт механики и машиностроения, Федеральный исследовательский центр «Казанский научный центр РАН»</p></bio><email>ifoggg@gmail.com</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8248-1589</contrib-id><name-alternatives><name xml:lang="en"><surname>Yakupov</surname><given-names>Nukh M.</given-names></name><name xml:lang="ru"><surname>Якупов</surname><given-names>Нух Махмудович</given-names></name></name-alternatives><bio xml:lang="en"><p>Dr. Sci. (Eng.), leading researcher</p></bio><bio xml:lang="ru"><p>доктор технических наук, ведущий научный сотрудник</p></bio><email>yzsrr@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Federal Research Center «Kazan Scientific Center of Russian Academy of Sciences»</institution></aff><aff><institution xml:lang="ru">Федеральный исследовательский центр «Казанский научный центр РАН»</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">E.K. Zavoisky Physical-Technical Institute</institution></aff><aff><institution xml:lang="ru">Казанский физико-технический институт имени Е.К. Завойского</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2023</year></pub-date><volume>19</volume><issue>6</issue><issue-title xml:lang="en">VOL 19, NO6 (2023)</issue-title><issue-title xml:lang="ru">ТОМ 19, №6 (2023)</issue-title><fpage>577</fpage><lpage>582</lpage><history><date date-type="received" iso-8601-date="2024-01-30"><day>30</day><month>01</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2023, Yakupov S.N., Gumarov G.G., Yakupov N.M.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2023, Якупов С.Н., Гумаров Г.Г., Якупов Н.М.</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="en">Yakupov S.N., Gumarov G.G., Yakupov N.M.</copyright-holder><copyright-holder xml:lang="ru">Якупов С.Н., Гумаров Г.Г., Якупов Н.М.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/37679">https://journals.rudn.ru/structural-mechanics/article/view/37679</self-uri><abstract xml:lang="en"><p style="text-align: justify;">Known methods and approaches are ineffective or not applicable at all in the study of mechanical characteristics and adhesion of coatings of complex structure, initially formed on non-planar surfaces. A device has been developed that includes fragments of spherical substrates with rings for mounting along the contour, a pressure source of the working medium with a pressure gauge, a line with a valve for supplying the working medium, a measuring complex and a line for etching the working medium. In a fragment of a spherical substrate there is a small diameter hole, in the area of which a cover is formed according to a given technology. The working medium is fed through a small hole in the tray. A segment of the coating detached from the substrate forms a dome in the form of an ellipsoid fragment. A numerical model of deformation of a coating fragment in the form of a spherical segment with a complex contour is being developed using well-known software complexes. At each step of loading by the “targeting” method, varying the modulus of elasticity and the Poisson’s ratio, we approach the parameters of the experimental dome and determine the actual mechanical and stiffness properties of the coating under study. We calculate the normal separation forces through the radial forces determined by the current numerical model, and then determine the coupling stresses. The developed experimental-theoretical method is an effective tool for evaluating the mechanical properties and stiffness of coatings of complex structure, as well as the adhesion of the coating to a spherical substrate.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Известные методы и подходы, исходно сформированные на неплоских поверхностях, малоэффективны или вовсе неприменимы при исследовании механических характеристик и адгезии покрытий сложной структуры. Разработано устройство, включающее фрагменты сферических подложек с кольцами для крепления по контуру, источник давления рабочей среды с манометром, магистралью с вентилем для подачи рабочей среды, измерительного комплекса и магистрали для травления рабочей среды. Во фрагменте сферической подложки имеется отверстие малого диаметра, в области которого формируют покрытие по заданной технологии. Через небольшое отверстие в подложке подается рабочая среда. Оторванный от подложки сегмент покрытия образует купол в виде фрагмента эллипсоида. Разрабатывается численная модель деформирования фрагмента покрытия в виде шарового сегмента со сложным контуром, используя известные программные комплексы. На каждом шаге нагружения методом «пристрелки», варьируя модулем упругости и коэффициентом Пуассона, приближаемся к параметрам экспериментального купола и определяем актуальные механические и жесткостные свойства исследуемого покрытия. Вычисляем нормальные усилия отрыва через радиальные усилия, определенные по актуальной численной модели, и определяем далее напряжения сцепления. Разработанный экспериментально-теоретический метод является эффективным инструментом оценки механических свойств и жесткости покрытий сложной структуры, а также адгезии покрытия к сферической подложке.</p></trans-abstract><kwd-group xml:lang="en"><kwd>complex structure</kwd><kwd>adhesive</kwd><kwd>coating stiffness</kwd><kwd>adhesion stresses</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>сложная структура</kwd><kwd>адгезив</kwd><kwd>жесткость покрытия</kwd><kwd>напряжения сцепления</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Dry C. Procedures developed for self-repair of polymeric matrix composite materials. Composite Structures. 1996;35(3):263-269. https://doi.org/10.1016/0263-8223(96)00033-5</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Montemor M.F. Functional and smart coatings for corrosion protection: A review of recent advances. Surface and Coatings Technology. 2014;258:17-37. https://doi.org/10.1016/j.surfcoat.2014.06.031</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Yakupov S.N., Yakupov N.M. Research of mechanical characteristics thin coating. Scientific Technical Conference on Low Temperature Plasma during the Deposition of Functional Coatings 5-8 November 2018, Kazan University, Kazan, Russian Federation. Journal of Physics: Conference Series. 2019;1328:012103. https://doi.org/10.1088/1742-6596/1328/1/012103</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Sripada J.V.S.N., Saha D.C., Saha G.C., Jahed H. Bonding mechanism and mi-crostructural evolution in mechanicallyalloyed nanodiamond-reinforced Al6061 composite particle deposits in cold spray. Surface and Coatings Technology. 2023;466:129611. https://doi.org/10.1016/j.surfcoat.2023.129611</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Bochenek K., Węglewski W., Morgiel J., Basista M. Influence of rhenium addition on microstructure, mechanical properties and oxidation resistance of NiAl obtained by powder metallurgy. Materials Science and Engineering: A. September 2018;735:121-130. https://doi.org/10.1016/j.msea.2018.08.032</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Liu S., Wu H., Xieetal X. Tribological properties of cold-sprayed 7075Al coatings reinforced with hybrid nano- TiB2/micro-SiC particles. Surface and Coatings Technology. 2023;458:129323. https://doi.org/10.1016/j.surfcoat.2023.129323</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Maurya S.S., Pandey K.K., Sharma S., Kumari S., Mirche K.K., Kumar D., Pandey S.M., Keshri A.K. Microstructural, mechanical and tribological behavior of nanodiamonds reinforced plasma sprayed nickel-aluminum coating. Diamond and Related Materials. 2023;133:109714. https://doi.org/10.1016/j.diamond.2023.109714</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Awotunde M.A., Olubambi P.A., Chen D. Compressive deformation behaviour and toughening mechanisms of spark plasma sintered NiAl-CNT composites. Ceramics International. 2022;48(11):16072-16084. https://doi.org/10.1016/j.ceramint.2022.02.153</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Ahmad S., Gupta A.P., Sharmin E., Alam M., Pandey S.K. Synthesis, characterization and development of high performance siloxane-modified epoxy paints. Progress in Organic Coatings. 2005;54(3):248-255. https://doi.org/10.1016/j.porgcoat.2005.06.013</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Qian M., Soutar A.M., Tan X.H., Zeng X.T., Wijesinghe S.L. Two-part epoxy-siloxane hybrid corrosion protection coatings for carbon steel. Thin Solid Films. 2009;517(17):5237-5242. https://doi.org/10.1016/j.tsf.2009.03.114</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Xue D., Van Ooij W.J. Corrosion performance improvement of hot-dipped galvanized (HDG) steels by electrodeposition of epoxy-resin-ester modified bis-[tri-ethoxy-silyl] ethane (BTSE) coatings. Progress in Organic Coatings. 2013; 76(7-8):1095-1102. https://doi.org/10.1016/j.porgcoat.2013.03.004</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Diaz I., Chico B., de la Fuente D., Simancas J., Vega J.M., Morcillo M. Corrosion resistance of new epoxysiloxane hybrid coatings. A laboratory study. Progress in Organic Coatings. 2010;69(3):278-286. https://doi.org/10.1016/j.porgcoat.2010.06.007</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>Holness R.J., Williams G., Worsley D.A., McMurray H.N. Polyaniline Inhibition of Corrosion-Driven Organic Coating Cathodic Delamination on Iron. Journal of The Electrochemical Society. 2005;152(2):B73. https://doi.org/10.1149/1.1850857</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Hosseini M.G., Jafari M., Najjar R. Effect of polyaniline-montmorillonite nanocomposite powders addition on corrosion performance of epoxy coatings on Al 5000. Surface and Coatings Technology. 2011;206(2-3):280-286. https://doi.org/10.1016/j.surfcoat.2011.07.012</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Zhang X., He Q., Gu H., Colorado H.A., Wei S., Guo Z. Flame-retardant electrical conductive nanopolymers based on bisphenol F epoxy resin reinforced with nano polyanilines. ACS Application. Material. Interfaces. 2013;5:898-910. https://doi.org/10.1021/am302563w</mixed-citation></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Oliver W.C., Pharr G.M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. Journal of Materials Research. 1992;7:1564-1583. https://doi.org/10.1557/ JMR.1992.1564</mixed-citation><mixed-citation xml:lang="ru">Oliver W.C., Pharr G.M. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. Journal of Materials Research. 1992;7:1564-1583. https://doi.org/10.1557/JMR.1992.1564</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Yanovsky Yu.G., Nikitina E.A., Nikitin S.M., Karnet Yu.N. Quantum mechanical studies of the mechanism of deformation of carbon nanotubes. Mechanics of Composite Materials and Structures. 2009;15(3):345-368. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Яновский Ю.Г., Никитина Е.А., Никитин С.М., Карнет Ю.Н. Квантово-механические исследования механизма деформации углеродных нанотрубок // Механика композиционных материалов и конструкций. 2009. Т. 15. № 3. С. 345-368.</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><mixed-citation>Galimov N.K., Yakupov N.M., Yakupov S.N. Experimental-Theoretical Method for Determining Mechanical Characteristics of Spherical Films and Membranes of Complex Structure. Mechanics of Solids. 2011;3:380-386. https://doi.org/10.3103/S0025654411030058</mixed-citation></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Taplin J. (ed.) Fracture mechanics. The destruction of the materials. Congressional reports, Waterloo. Canada, June 19-24, 1977. Moscow: Mir Publ.; 1979. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Таплин Д. (ред.) Механика разрушения. Разрушение материалов. М.: Изд-во Мир. 1979. 239 c.</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Yakupov S.N., Gubaidullin R.I. Rigidity, adhesion and delamination of the coating in the “substrate - coating” system. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(3):204-214. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-3-204-214</mixed-citation><mixed-citation xml:lang="ru">Якупов С.Н., Губайдуллин Р.И. Жесткость, адгезия и расслоение покрытия в системе «подложка-покрытие» // Строительная механика инженерных конструкций и сооружений. 2022. Т. 18. № 3. С. 204-214. http://doi.org/10.22363/1815-5235-2022-18-3-204-214</mixed-citation></citation-alternatives></ref><ref id="B21"><label>21.</label><mixed-citation>Yakupov S.N., Kiyamov H.G., Yakupov N.M. Mukhamedova I.Z. A new variant of the fem for evaluation the strenght of structures of complex geometry with heterogeneous material structure. Case Studies in Construction Materials. 2023;19:e02360. https://doi.org/10.1016/j.cscm.2023.e02360</mixed-citation></ref><ref id="B22"><label>22.</label><mixed-citation>Yakupov S.N., Kiyamov H.G., Yakupov N.M. Modeling a synthesized element of complex geometry based upon three-dimensional and two-dimensional finite elements. Lobachevskii Journal of Mathematics. 2021;42(9):2263-2271. https://doi.org/10.1134/S1995080221090316</mixed-citation></ref></ref-list></back></article>
