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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2024, Volume 24, Issue 1, Pages 57–62
DOI: https://doi.org/10.18500/1816-9791-2024-24-1-57-62 (Mi isu1008) 		 
Scientific Part
Mechanics

Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces

J. D. Kaplunova, B. Zupančičb, A. V. Nikonovc

a Keele University, Keele, Staffordshire ST5 5BG, UK
b National Institute of Chemistry, 19 Hajdrihova, Ljubljana 1000, Slovenia
c University of Ljubljana, 12 Kongresni trg, Ljubljana 1000, Slovenia
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DOI: https://doi.org/10.18500/1816-9791-2024-24-1-57-62
Abstract: The axisymmetric problem for the transverse compression of a thin elastic disk is considered in slip absence. An asymptotic solution for the interior stress-strain state is constructed. An approach to determining a plane boundary layer localized near the outer contour of the disk is outlined.
Key words: asymptotic methods, asymptotic solution, axisymmetric problem, compression problem, mixed boundary conditions, stress-strain state, flat boundary layer.
Received: 05.12.2023
Accepted: 28.12.2023
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: J. D. Kaplunov, B. Zupančič, A. V. Nikonov, “Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces”, Izv. Saratov Univ. Math. Mech. Inform., 24:1 (2024), 57–62
Citation in format AMSBIB
\Bibitem{KapZupNik24}
\by J.~D.~Kaplunov, B.~Zupan{\v c}i{\v c}, A.~V.~Nikonov
\paper Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2024
\vol 24
\issue 1
\pages 57--62
\mathnet{http://mi.mathnet.ru/isu1008}
\crossref{https://doi.org/10.18500/1816-9791-2024-24-1-57-62}
\edn{https://elibrary.ru/LNJVVN}
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