 | | 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
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| In English (Mech. Solids): | | 4760 |
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| M. U. Nikabadze, "On the eigenvalue and eigentensor problem for a tensor of even rank," Mech. Solids. 43 (4), 586-599 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
4 |
Pages |
586-599 |
| DOI |
10.3103/S0025654408040079 |
| Title |
On the eigenvalue and eigentensor problem for a tensor of even rank |
| Author(s) |
M. U. Nikabadze (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia, munikabadze@mail.ru) |
| Abstract |
In more detail as in [1], we study tensor modules of even orders and the eigenvalue and eigentensor problem for tensors of any even rank. The canonical representation of a tensor in the module ℂ2p(Ω) is given. We present several statements and theorems about the eigentensors for tensors of even rank, and for adjoint, normal, Hermitian, and unitary tensors in a module of even order. We note that the eigenvalue and eigentensor problem for the tensor of elastic moduli was studied by Ya. Rykhlevskii in 1983-1984. Earlier, it was studied for tensors of any even rank by I. N. Vekua. |
| Received |
18 July 2007 |
| Link to Fulltext |
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