On the Problem of Eigenvalues of Material Tensor Objects and Wave Velocities
- 作者: Nikabadze M.1,2, Lurie S.3,4, Matevossian H.3,5, Ulukhanyan A.2
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隶属关系:
- Lomonosov Moscow State University
- Bauman Moscow State Technical University
- Federal Research Center “Computer Science and Control”
- Institute of Applied Mechanics
- Moscow Aviation Institute
- 期: 卷 40, 编号 7 (2019)
- 页面: 992-1009
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205089
- DOI: https://doi.org/10.1134/S1995080219070151
- ID: 205089
如何引用文章
详细
We formulate the eigenvalue problem for a tensor-block matrix of any order and of any even rank. It is well known that the eigenvalues of the tensor and the tensor-block matrix are invariant quantities. Therefore, in this work, our purpose is to find the expression for the wave velocities of some media through the eigenvalues of the material objects. In particular, the classical and micropolar materials with the different anisotropy symbols are considered, and the expressions for the wave velocities through the eigenvalues of the material objects are given.
作者简介
M. Nikabadze
Lomonosov Moscow State University; Bauman Moscow State Technical University
编辑信件的主要联系方式.
Email: nikabadze@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow, 107005
S. Lurie
Federal Research Center “Computer Science and Control”; Institute of Applied Mechanics
编辑信件的主要联系方式.
Email: salurie@mail.ru
俄罗斯联邦, Moscow, 119333; Moscow, 125040
H. Matevossian
Federal Research Center “Computer Science and Control”; Moscow Aviation Institute
编辑信件的主要联系方式.
Email: hmatevossian@graduate.org
俄罗斯联邦, Moscow, 119333; Moscow, 125993
A. Ulukhanyan
Bauman Moscow State Technical University
编辑信件的主要联系方式.
Email: armine_msu@mail.ru
俄罗斯联邦, Moscow, 107005