 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 43, Issue 4 / 2008 | Next article >> |
| P. A. Belov and S. A. Lurie, "Theory of 4D-media with stationary dislocations," Mech. Solids. 43 (4), 545-557 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
4 |
Pages |
545-557 |
| DOI |
10.3103/S0025654408040043 |
| Title |
Theory of 4D-media with stationary dislocations |
| Author(s) |
P. A. Belov (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334, Russia, pbelov@yandex.ru)
S. A. Lurie (Institute of Applied Mechanics, Russian Academy of Sciences, GSP-1, V-334, Leninskii pr-t 32A, Moscow, 117334, Russia, lurie@ccas.ru) |
| Abstract |
In earlier studies, the authors showed that an application of classical methods of mechanics of deformable media to the study of properties of 4D-space-time continuum permit stating consistent models of nonholonomic media mechanics consistent with the first and second laws of thermodynamics. In the present paper, we show that the classical methods of continuum mechanics are also promising when modeling physical processes. It is shown that, just as in the three-dimensional theory of stationary dislocations, there exist dislocations of three types for a generalized 4D-medium. They correspond to the decomposition of the free distortion tensor into a spherical tensor, a deviator tensor, and a pseudotensor of rotations. We interpret several particular models, thus showing that the proposed model describes the spectrum of known physical interactions: electromagnetic, strong, weak, and gravitational. We show that the resolving equations include the Maxwell equations of electrodynamics and the Yukawa equations for strong interactions as subsystems. |
| Received |
12 March 2008 |
| Link to Fulltext |
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