 | | 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 56, Issue 6 / 2021 | Next article >> |
| Tarlakovskii D.V. and Nguyen Van Lam, "Estimation of Taking into Account the Moment Properties of the Medium on the Example of a Nonstationary Axisymmetric Problem," Mech. Solids. 56 (6), 1013-1019 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
6 |
Pages |
1013-1019 |
| DOI |
10.3103/S0025654421060182 |
| Title |
Estimation of Taking into Account the Moment Properties of the Medium on the Example of a Nonstationary Axisymmetric Problem |
| Author(s) |
Tarlakovskii D.V. (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia; Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, tdvhome@mail.ru)
Nguyen Van Lam (Moscow Aviation Institute (National Research University), Moscow, 125993 Russia, nvlammai2019@gmail.com) |
| Abstract |
An estimate is given of taking into account the moment properties of the medium using the example of a nonstationary axisymmetric problem of the propagation of disturbances from a spherical cavity in a Cosserat medium. For this purpose, the elastic components of these fields are allocated for the displacements and the angle of rotation. Expansions of the sought-for functions in series in Legendre and Gegenbauer polynomials, Laplace transform in time, as well as the method of a small parameter, which is used as a coefficient characterizing the relationship between displacements and the angle of rotation, are used. The originals of the regular components of the solution are calculated using residues in a linear approximation in a small parameter. Examples of calculations for a material in the form of a granular composite of aluminum shot in an epoxy matrix are given. It is shown that there are practically no quantitative differences, but qualitatively, the processes in a moment and classical elastic medium differ significantly. |
| Keywords |
Cosserat medium, spherical cavity, unsteady axisymmetric disturbances, comparison with an elastic solution |
| Received |
28 February 2021 | Revised |
28 February 2021 | Accepted |
04 March 2021 |
| Link to Fulltext |
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