Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2020-5pp.664-672

Archive of Issues

Total articles in the database: 4932
In Russian (. . ): 2364
In English (Mech. Solids): 2568

<< Previous article | Volume 55, Issue 5 / 2020 | Next article >>
N.S. Stetsenko, "Nonlinear Effects Simulated by a Viscoelastic Maxwell-Type Model for Finite Deformations," Mech. Solids. 55 (5), 664-672 (2020)
Year 2020 Volume 55 Number 5 Pages 664-672
DOI 10.3103/S0025654420300044
Title Nonlinear Effects Simulated by a Viscoelastic Maxwell-Type Model for Finite Deformations
Author(s) N.S. Stetsenko (Lomonosov Moscow State University, Moscow, 119992, Russia, stetsenkonina@mail.ru)
Abstract For viscoelastic materials, a generalization of the elementary Maxwell model to the case of finite deformations is investigated using the one-parameter set of Gordon-Showalter objective derivatives. Using the obtained constitutive relations, we consider the problems of simple shear, uniaxial tension-compression, and shear vibrations given by the sawtooth function. It is shown that the obtained analytical solutions of these problems significantly depend on the parameters of the model and, thus, consideration of the set of objective derivatives, the special cases of which are the Oldroyd, Cotter-Rivlin, and Jaumann derivatives, expands the possibilities of describing the behavior of the material. It is shown that the analyzed model predicts the appearance of the Poynting, Kelvin, and Weissenberg effects, exhibits non-Newtonian viscosity, reveals a nonzero normal stress difference in the simple shear problem, simulates viscosity decrease as a function of shear rate with an increase in shear thinning and an escalation in viscosity as a function of tensile strain rate with increasing extensional thickening strain rate.
Keywords finite deformations, viscoelastic models, non-Newtonian viscosity, Poynting effect, Kelvin effect, Weissenberg effect, normal stress differences, shear thinning, extensional thickening
Received 14 October 2019Revised 18 October 2019Accepted 21 October 2019
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420300044
<< Previous article | Volume 55, Issue 5 / 2020 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100