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Asymptotic analysis of three-dimensional dynamical elastic equations for a thin multilayer anisotropic plate of arbitrary structureстатья
- Автор: Zakharov D.D.
- Журнал: Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika)
- Том: 56
- Номер: 5
- Год издания: 1992
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 637
- Последняя страница: 644
- DOI: 10.1016/0021-8928(92)90049-e
- Аннотация: An asymptotic method is used to derive two-dimensional dynamic equations of a plate consisting of N anisotropic layers, with elastic symmetry planes parallel to the face surfaces. It is shown that, in contrast to the case of isotropic layered plates, the equations do not reduce to equations for an equivalent single plate, and Kirchhoff's first hypothesis does not apply. The full stress tensor, including asymptotically small components, and the integral characteristics of the stack are determined. For solving static problems, an approach is proposed whereby the unknown functions are expressed in the form of functions of a complex variable
- Добавил в систему: Захаров Дмитрий Дмитриеич