 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 7 / 2023 | Next article >> |
| D.V. Georgievskii, "Schemes of Experiments to Determine the Kernels of Some Difference-Type Operators for Media with a Non-Relaxing Volume," Mech. Solids. 58 (7), 2595-2601 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
7 |
Pages |
2595-2601 |
| DOI |
10.3103/S0025654423070099 |
| Title |
Schemes of Experiments to Determine the Kernels of Some Difference-Type Operators for Media with a Non-Relaxing Volume |
| Author(s) |
D.V. Georgievskii (Lomonosov Moscow State University, Moscow, Russia; Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), Moscow, 119526 Russia; Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991 Russia, georgiev@mech.math.msu.su) |
| Abstract |
In the framework of integral constitutive relations for linear isotropic viscoelastic media with difference-type kernels in the case of a non-relaxing volume, we propose possible experimental setups for determining the kernels of the Ilyushin operators gβ, supplementing the known methods. One of them is based on the use of a sample of an auxiliary viscoelastic solid, the material functions of which are related to the creep function and bulk modulus of the initial material. Similar schemes of the experimental setup are also proposed for finding the kernels of the operators hγ, which are conjugate to gβ in a certain sense. |
| Keywords |
viscoelasticity, creep, relaxation, non-relaxing volume, difference-type operator, kernel, interpretation (decoding) of the operator, material function, experimental setup |
| Received |
14 October 2022 | Revised |
16 December 2022 | Accepted |
17 December 2022 |
| Link to Fulltext |
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