Application of Eigenvalue Problems Under the Study of Wave Velocity in Some Media

Авторы: Mikhail Nikabadze, Armine Ulukhanyan
Сборник: In: Altenbach H., Müller W., Abali B. (eds) Higher Gradient Materials and Related Generalized Continua. Advanced Structured Materials
Том: 120
Глава в коллективной монографии
Год издания: 2019
Место издания: Springer, Cham Switzerland
Первая страница: 201
Последняя страница: 220
DOI: 10.1007/978-3-030-30406-5_10
Аннотация: The wave velocities in some media under different types of anisotropy are estimated applying the eigenvalue problem of material tensors. 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.
Добавил в систему: Никабадзе Михаил Ушангиевич

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