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Formulation of boundary-value problems of statics for thin elastic asymmetrically-laminated anisotropic plates and solution using functions of a complex variableстатья
- Автор: Zakharov D.D.
- Журнал: Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika)
- Том: 59
- Номер: 4
- Год издания: 1995
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 615
- Последняя страница: 623
- DOI: 10.1016/0021-8928(95)00072-0
- Аннотация: The internal stress-strain state (SSS) of a plate under coupled bending and extension-compression-shear is determined. It is proved that the two-dimensional equilibrium equations for the materials of layers with anisotropy of general form are elliptic, and natural boundary conditions are derived. The displacements are expressed in terms of functions of a complex variable, which make it possible to reduce the basic boundary-value problems to a determination of these functions from the values of the real part of linear combinations of the functions on the lateral surface of the plate. Conditions are established for the functions to be single-valued; these conditions are related to the self-balance of the boundary load. Exact solutions of the boundary-value problems are presented for a finite ellipse, including the case where polynomial loads are applied to the plate faces. Solutions are presented for a plate with an elliptic...
- Добавил в систему: Захаров Дмитрий Дмитриеич