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Application of eigenvalue problems under the study of wave velocity in some mediaтезисы доклада
- Авторы: Mikhail Nikabadze, Armine Ulukhanyan
- Сборник: Book of Abstracts of Advanced Seminar: Generalized Continua in Engineering Theory, Experiments and Applications 2nd Circular, Organized by Wolfgang H. Müller (Technische Universität Berlin) and Holm Altenbach (Otto-von-Guericke-Universität Magdeburg)
- Тезисы
- Год издания: 2018
- Место издания: Technische Universität Berlin
- Первая страница: 22
- Последняя страница: 22
- Аннотация: The work considers the application of the eigenvalue problems of material tensors when findingthe wave velocities in some media under different anisotropies. In this connection, the canonical representations of material tensors, as well as kinematic and dynamic conditions on the strong discontinuity surface are given. Using them the problem of finding the wave velocities is reduced to the eigenvalue problem for the corresponding dispersion tensor. In addition, dispersion equations for determining the wave velocities are obtained. In particular, classical and micropolar materials with different symbols of anisotropy (structure) are considered and the wave velocities through the eigenvalues of material tensors are found. Acknowledgments: this work was supported by Shota Rustaveli National Science Foundation (project no. DI-2016-41)
- Добавил в систему: Никабадзе Михаил Ушангиевич