Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 3, Pages 40–49 (Mi vmumm238)  
Mechanics

The shape of an anisotropic plastic layer compressed by parallel planes with anisotropic friction

I. A. Kiiko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A nonlinear evolution equation, which determines the form of a thin plastic layer compressed by rigid parallel planes, is derived. The material of the layer and the contact friction are anisotropic. The similarity solutions and the classes of self-similar solutions are obtained. The large-time asymptotics is discussed. The instability problem is considered for the process of spreading a strip.
Key words: flow in a thin layer, nonlinear evolution equation, similarity solution, asymptotics.
Received: 24.06.2013
English version:
Moscow University Mechanics Bulletin, 2015, Volume 70, Issue 3, Pages 51–60
DOI: https://doi.org/10.3103/S0027133015030012
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: I. A. Kiiko, “The shape of an anisotropic plastic layer compressed by parallel planes with anisotropic friction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 3, 40–49; Moscow University Mechanics Bulletin, 70:3 (2015), 51–60
Citation in format AMSBIB
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