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Determination of velocities of wave propagation in some media through the eigenvalues of the material tensorsтезисы доклада
- Авторы: Matevossian Hovik A., Nikabadze Mikhail U., Ulukhanian Armine R.
- Сборник: 6th IC–MSQUARE: Abstracts. International Conference on Mathematical Modeling in Physical Sciences (Pafos, Cyprus, August 28–31, 2017)
- Тезисы
- Год издания: 2017
- Место издания: Neapolis University of Pafos, Paphos, Cyprus
- Аннотация: It is known that the eigenvalues of the tensor and the tensor-block matrix are invariant quantities. That is why the aim of this work was to find the expressions for the velocities of wave propagation of some media through the eigenvalues of the material tensors. In particular, it is considered materials with the anisotropy symbol {1.5} and {5.1}, as well as isotropic materials, and expressions for the velocities of wave propagation for them are given. In addition, the expressions for the velocities of wave propagation for materials of cubic syngony with the anisotropy symbol {1,2,3} (the matrix of the elastic modulus tensor components has three components), hexagonal system (transversal isotropy) with anisotropy symbol {1,1,2,2} (the matrix of the elastic modulus tensor components has five independent components), trigonal system with anisotropy symbol {1,1,2,2} (the matrix of the elastic modulus tensor components has six independent components), tetragonal system with anisotropy symbol {1,1,1,2,1} (the matrix of the elastic modulus tensor components has six independent components) are obtained. There are also obtained the expressions for the velocities of wave propagation for a micropolar medium with the anisotropy symbol {1.5.3} and {5.1.3}, as well as for an isotropic micropolar material. Acknowledgements: this research was supported by the Shota Rustaveli National Science Foundaiton (project no. DI-2016-41) and the Russian Foundation for Basic Research (project no. 15-01-00848-a)
- Добавил в систему: Никабадзе Михаил Ушангиевич