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Approximate Description of the Dynamics of Thin Isotropic Elastic Coatings and Interlayers by Using Asymptotics of High Order of Accuracyстатья
- Авторы: Zakharov D.D., Nikonov A.V.
- Журнал: Mechanics of Composite Materials
- Том: 41
- Номер: 6
- Год издания: 2005
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- Первая страница: 527
- Последняя страница: 534
- DOI: 10.1007/s11029-006-0006-7
- Аннотация: Asymptotically accurate low-frequency models for isotropic elastic coatings and interlayers are developed. The main constraint is the requirement on contact conditions for the layer and the base that at least one of the boundary conditions must include the displacement component in an explicit form. The displacement and stress fields in the three-dimensional elastic system are sought in the form of asymptotic expansion into power series of a small parameter — the ratio between the half-thickness of the layer and the minimum length of the wave in the longitudinal direction. The action of the layer is approximated by impedance boundary conditions, which are transferred to the contact surface with the basic, more thick body. These conditions are obtained with an asymptotic error up to and including the sixth order of magnitude. A numerical testing, which is carried out with the example of partial waves, shows
- Добавил в систему: Захаров Дмитрий Дмитриеич