 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
|
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| L.V. Fedorov, "Solution of the Dynamic Problem of the Linear Theory of Elasticity," Mech. Solids. 53 (6), 609-614 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
609-614 |
| DOI |
10.3103/S002565441806002X |
| Title |
Solution of the Dynamic Problem of the Linear Theory of Elasticity |
| Author(s) |
L.V. Fedorov (OOO "Russ Outdoor," der. Mikhalkovo, Krasnogorskii raion, Moscowskaya oblast, 143421 Russia, llff@mail.ru) |
| Abstract |
The article deals with a method for solving a dynamic problem of the theory of elasticity. According to this method, the stresses and momentums forming a single four-dimensional (4D) tensor are considered to be unknown. The formulation of the basic relations of the theory of elasticity in 4D space is given. As an example, the problem of the ball oscillations under the action of bulk forces is analyzed. |
| Keywords |
dynamic problem of the theory of elasticity, 4D space |
| References |
| 1. | N.A. Kilchevsky,
Elements of Tensor Calculus and its Application in Mechanics
(Naukova Dumka, Kiev, 1972) [in Russian]. |
| 2. | W. Nowacki,
Theory of Elasticity
(Mir, Moscow, 1975) [in Russian]. |
| 3. | A.G. Gorshkov, A.L. Medvedskii, L.N. Rabinskii, and D.V. Tarlakovskii,
Waves in Continuous Media
(Fizmatlit, Moscow, 2004) [in Russian]. |
| 4. | P.K. Rashevsky,
Riemannian Geometry and Tensor Analysis
(Nauka, Moscow, 1976) [in Russian]. |
|
| Received |
05 February 2018 |
| Link to Fulltext |
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