 | | 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
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| In English (Mech. Solids): | | 3212 |
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| M. U. Nikabadze, "On the construction of linearly independent tensors," Mech. Solids. 44 (1), 14-30 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
14-30 |
| DOI |
10.3103/S0025654409010026 |
| Title |
On the construction of linearly independent tensors |
| Author(s) |
M. U. Nikabadze (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia, munikabadze@mail.ru) |
| Abstract |
We consider various methods for constructing linearly independent isotropic, gyrotropic, orthotropic, and transversally isotropic tensors. We state assertions and theorem that permit one to construct these tensors. We find linearly independent above-mentioned tensors up to and including rank six. The components of the tensor may have no symmetry or have symmetries of various types. |
| References |
| 1. | V. V. Lokhin and L. I. Sedov, "Nonlinear Tensor Functions in Several Tensor Arguments," Prikl. Mat. Mekh. 27(3), 393–417 (1963) [J. Appl. Math. Mech. (Engl. Transl.) 27 (3), 597–629 (1963)]. |
| 2. | V. V. Lokhin, "Nonlinear Tensor Functions in the Minkowski," in Scientific Proceedings of Institute for Mechanics, No. 31 (Izd-vo MGU, Moscow, 1974), pp. 6–66. |
| 3. | A. I. Lurie, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980) [in Russian]. |
| 4. | G. Ya. Lyubarskii, Theory of Groups and Its Application in Physics (Fizmatgiz, Moscow, 1958) [in Russian]. |
| 5. | B. E. Pobedrya, Lectures on Tensor Analysis (Izd-vo MGU, Moscow, 1986) [in Russian]. |
|
| Received |
25 June 2007 |
| Link to Fulltext |
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