 | | 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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| V.V. Vasiliev and L.V. Fedorov, "Relativistic Theory of Elasticity," Mech. Solids. 53 (3), 256-261 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
256-261 |
| DOI |
10.3103/S0025654418070038 |
| Title |
Relativistic Theory of Elasticity |
| Author(s) |
V.V. Vasiliev (Ishlinsky Institute for Problems in Mechanics RAS, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, vvvas@dol.ru)
L.V. Fedorov (Ishlinsky Institute for Problems in Mechanics RAS, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia) |
| Abstract |
The article deals with the construction of the theory of elasticity for a medium in a gravitational field described by the equations of the general theory of relativity. As an application, we consider a problem with spherical symmetry. |
| Keywords |
theory of elasticity, general theory of relativity |
| References |
| 1. | V. Z. Vlasov, "Equations of Strain Continuity in Curvilinear Coordinates," in V. Z. Vlasov,
Selected Papers. Vol. 1 (Fizmatgiz, Moscow, 1962) [in Russian]. |
| 2. | A. A. Baranov and V. L. Kolpashchikov, Relativistic Thermomechanics of Continua (URSS, Moscow, 2003)
[in Russian]. |
| 3. | D. Singh, General Relativity (Izd-vo Inostr. Lit-ry, Moscow, 1963) [in Russian]. |
| 4. | J. L. Sing, "A Theory of Elasticity in General Relativity," Math. Zeitschr. 73, 82-87 (1959). |
| 5. | C. B. Reiner, "Elasticity in General Relativity," Proc. Roy. Soc. London. Ser. A. Math. Phys. Sci. 272 (1348) 44-53 (1963). |
| 6. | E. N. Glass and J. Winicourt, "Elastic General Relativistic Systems," J. Math. Phys. 15 (12)
1934-1940 (1972). |
| 7. | L. I. Sedov, "The Energy-Momentum Tensor and Macroscopic Internal Interactions in a Gravitational Field and in Material Media," Dokl. Akad. Nauk SSSR 164 (3), 519-522 (1965). |
| 8. | V. V. Vasil'ev and L. V. Fedorov, "An Elasticity Problem for a Gravitating Ball and Some Geometrical Effects," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 84-92 (2003) [Mech. Solids (Engl. Transl.) 38 (1), 67-74 (2003)]. |
| 9. | V. V. Vasil'ev and L. V. Fedorov, "Solution of a Spherically Symmetric Static Problem of General Relativity for an Elastic Solid Sphere," Appl. Phys. Res. 9 (6), 8-13 (2017). |
|
| Received |
20 December 2017 |
| Link to Fulltext |
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