 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 5 / 2023 | Next article >> |
| A.V. Ilyashenko, "Fundamental Solutions of the Equations of the Oscillation Theory for Anisotropic Elastic Media," Mech. Solids. 58 (5), 1551-1558 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1551-1558 |
| DOI |
10.3103/S002565442360006X |
| Title |
Fundamental Solutions of the Equations of the Oscillation Theory for Anisotropic Elastic Media |
| Author(s) |
A.V. Ilyashenko (Moscow State University of Civil Engineering, Moscow, 129337 Russia, avi_56@mail.ru) |
| Abstract |
The construction of fundamental solutions in R3 for the equations of harmonic vibrations in the theory of elasticity of anisotropic elastic media is carried out. Solutions are constructed in the form of multipole series. Theorems on the convergence of series in the topology of compact convergence in R30 are proved. The problems on constructing some singular solutions of the theory of vibrations of an anisotropic body are discussed. The fundamental solution of the oscillation equations for an isotropic medium is obtained in a closed form. |
| Keywords |
fundamental solutions, anisotropy, isotropy, oscillation theory |
| Received |
20 December 2022 | Revised |
09 January 2022 | Accepted |
12 January 2023 |
| Link to Fulltext |
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