Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 29–37 (Mi vmumm4338)  
Mechanics

Dynamic deformation of a thin plastic layer between converging rigid cylinders

R. R. Shabaykin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: On the basis of asymptotic analysis with a natural small geometric parameter $\alpha$ without any static or kinematic hypotheses, the dynamic solutions of the Prandtl analog for the case of a cylindrical layer, including the terms with $\alpha^{-1}$ and $\alpha^{0}$ for various cylinder configurations, are obtained and analyzed.
Key words: ideal rigid-plastic body, Prandtl's problem, quasistatics, compression, spreading, asymptotic expansions, axisymmetric problem, Euler's number, dynamics.
Received: 15.10.2018
English version:
Moscow University Mechanics Bulletin, 2020, Volume 75, Issue 4, Pages 87–95
DOI: https://doi.org/10.3103/S0027133020040068
Bibliographic databases:
Document Type: Article
UDC: 539
Language: Russian
Citation: R. R. Shabaykin, “Dynamic deformation of a thin plastic layer between converging rigid cylinders”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 29–37; Moscow University Mechanics Bulletin, 75:4 (2020), 87–95
Citation in format AMSBIB
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\issue 4
\pages 29--37
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\transl
\jour Moscow University Mechanics Bulletin
\yr 2020
\vol 75
\issue 4
\pages 87--95
\crossref{https://doi.org/10.3103/S0027133020040068}
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