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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, Volume 18, Issue 4, Pages 421–432
DOI: https://doi.org/10.18500/1816-9791-2018-18-4-421-432 (Mi isu777) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Scientific Part
Mechanics

On some models of indentation for functionally-graded coatings

A. O. Vatulyan, D. K. Plotnikov, A. A. Poddubny

Institute of Mathematics, Mechanics, and Computer Science named after of I. I. Vorovich, Southern Federal University, 105/42 Bolshaya Sadovaya St., Rostov on Don 344006, Russia
Full-text PDF (732 kB) Citations (4)
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DOI: https://doi.org/10.18500/1816-9791-2018-18-4-421-432
Abstract: The paper presents approximate models of deformation for an inhomogeneous elastic strip. Approximate models reflect the distribution features of the inhomogeneous structure properties over the thickness. The models are based on hypotheses about the nature of the change in the components of the displacement field, which allows to consider arbitrary laws of heterogeneity: continuous, as well as discontinuous or having a strong gradient. Solutions of the contact problem for different inhomogeneity laws are constructed. Comparative analysis of the models is carried out. The results of the solutions are compared with the solution based on the FE model.
Key words: coating, functionally graded material, indentation, inhomogeneous strip.
Funding agency Grant number
Russian Science Foundation 18-11-00069
This work was partially supported by the Russian Science Foundation (project no. 18-11-00069).
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: A. O. Vatulyan, D. K. Plotnikov, A. A. Poddubny, “On some models of indentation for functionally-graded coatings”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 421–432
Citation in format AMSBIB
\Bibitem{VatPloPod18}
\by A.~O.~Vatulyan, D.~K.~Plotnikov, A.~A.~Poddubny
\paper On some models of indentation for functionally-graded coatings
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2018
\vol 18
\issue 4
\pages 421--432
\mathnet{http://mi.mathnet.ru/isu777}
\crossref{https://doi.org/10.18500/1816-9791-2018-18-4-421-432}
\elib{https://elibrary.ru/item.asp?id=36716506}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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