 | | 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 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 54, Issue 2 / 2019 | Next article >> |
| E.D. Martynova, "Torsion Processes for Cylindrical Samples Made of Incompressible Viscoelastic Materials of the Maxwell Type," Mech. Solids. 54 (2), 329-340 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
2 |
Pages |
329-340 |
| DOI |
10.3103/S002565441903018X |
| Title |
Torsion Processes for Cylindrical Samples Made of Incompressible Viscoelastic Materials of the Maxwell Type |
| Author(s) |
E.D. Martynova (Moscow State University, Moscow, Russia, elemarta@mail.ru) |
| Abstract |
Analytical solutions are obtained for the problem of torsion of incompressible cylinders, whose materials are described by the constitutive relations of viscoelastic media, generalizing the relations of the elementary Maxwell model for the case of finite deformations. Constitutive relations differ from each other in the value of the parameter specifying the type of an objective derivative used from the Gordon–Showalter family, including the Oldroyd, Cotter–Rivlin, and Jaumann derivatives.
It is shown that a longitudinal compressive force (the Poynting effect) is generated when twisting a cylinder with a constant length, whose material is described by any constitutive relation from the one-parameter family under consideration. For stepwise deformation processes, a qualitative description of a number of available experimental data are also obtained. |
| Keywords |
coefficients of reflection and penetration, double periodic lattice, hypersingular integral equation, system of cracks, acoustic filter |
| Received |
13 February 2017 |
| Link to Fulltext |
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