Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 35–39 (Mi vmumm4314)  
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

The stress-strain state of a hypoelastic cylindrical layer under finite strain

Z. G. Tunguskova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The exact analytical solution of the problem of axial shear of a cylindrical layer fixed on the inner surface is obtained. On the outer surface, the tangential forces are uniformly distributed. The model of hypoelasticity with objective derivatives of the corotation type is adopted: the Jaumann stress rate and the Green–McInnis–Naghdi stress rate. The analysis of these models shows the existence of the Kelvin and Poynting effects.
Key words: hypoelasticity model, finite deformations, cylindrical layer, Poynting effect, Jaumann derivative, Green–McInnis–Naghdi derivative.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00669
Received: 13.07.2018
English version:
Moscow University Mechanics Bulletin, 2020, Volume 75, Issue 2, Pages 32–36
DOI: https://doi.org/10.3103/S0027133020020028
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: Z. G. Tunguskova, “The stress-strain state of a hypoelastic cylindrical layer under finite strain”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 35–39; Moscow University Mechanics Bulletin, 75:2 (2020), 32–36
Citation in format AMSBIB
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