On the Problem of Eigenvalues of Material Tensor Objects and Wave Velocities
- Авторлар: Nikabadze M.1,2, Lurie S.3,4, Matevossian H.3,5, Ulukhanyan A.2
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Мекемелер:
- Lomonosov Moscow State University
- Bauman Moscow State Technical University
- Federal Research Center “Computer Science and Control”
- Institute of Applied Mechanics
- Moscow Aviation Institute
- Шығарылым: Том 40, № 7 (2019)
- Беттер: 992-1009
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205089
- DOI: https://doi.org/10.1134/S1995080219070151
- ID: 205089
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
M. Nikabadze
Lomonosov Moscow State University; Bauman Moscow State Technical University
Хат алмасуға жауапты Автор.
Email: nikabadze@mail.ru
Ресей, Moscow, 119991; Moscow, 107005
S. Lurie
Federal Research Center “Computer Science and Control”; Institute of Applied Mechanics
Хат алмасуға жауапты Автор.
Email: salurie@mail.ru
Ресей, Moscow, 119333; Moscow, 125040
H. Matevossian
Federal Research Center “Computer Science and Control”; Moscow Aviation Institute
Хат алмасуға жауапты Автор.
Email: hmatevossian@graduate.org
Ресей, Moscow, 119333; Moscow, 125993
A. Ulukhanyan
Bauman Moscow State Technical University
Хат алмасуға жауапты Автор.
Email: armine_msu@mail.ru
Ресей, Moscow, 107005