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IssuesArchive of Issues2008-4pp.586-599

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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 2p(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
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