INVESTIGATION OF THE STRESS STATE OF A COMPOSITE IN THE FORM OF A LAYER AND A HALF-SPACE WITH A CYLINDRICAL TUBE AT GIVEN STRESSES ON THE BOUNDARY SURFACES (34-37)

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Дата публикации статьи в журнале: 2019/10/11
Название журнала: Восточно Европейский Научный Журнал, Выпуск: 49, Том: 3, Страницы в выпуске: 34-37
Автор: Miroshnikov V. Yu.
, Kharkiv National University of Construction and Architecture , PhD
Анотация: A solution to the spatial problem of the theory of elasticity is proposed for a composite in the form of a half-space with a longitudinal thick-walled circular cylindrical tube and a layer rigidly attached to the surface of the half-space. Layer, half-space and pipe - elastic homogeneous isotropic materials different from each other. The stresses are set on the free surface of the layer and the inner surface of the pipe. At the boundary of the layer and half-space, as well as at the boundary of half-space and the outer surface of the pipe, the matching conditions are coupling. It is necessary to evaluate the stress state of a given composite. The solution of the spatial problem of the theory of elasticity is obtained on the basis of the generalized Fourier method in cylindrical coordinates associated with the pipe and Cartesian coordinates associated with the layer and half-space. Satisfying the boundary and coupling conditions, we obtain infinite systems of linear algebraic equations that are solved by the reduction method. As a result, displacements and stresses were obtained at various points of the layer, half-space, and pipe.
Ключевые слова: thick-walled pipe in half-space   composite   coupling conditions   generalized Fourier method   
Данные для цитирования: Miroshnikov V. Yu. , . INVESTIGATION OF THE STRESS STATE OF A COMPOSITE IN THE FORM OF A LAYER AND A HALF-SPACE WITH A CYLINDRICAL TUBE AT GIVEN STRESSES ON THE BOUNDARY SURFACES (34-37). Восточно Европейский Научный Журнал. Технические науки. 2019/10/11; 49(3):34-37.

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