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The Diffusion—Vortex Problems in Terms of Stresses for Bingham Materialsстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 16 декабря 2020 г.
- Автор: Georgievskii D.V.
- Сборник: Developments and Novel Approaches in Nonlinear Solid Body Mechanics
- Серия: Advanced Structured Materials
- Том: 130
- Год издания: 2020
- Издательство: Springer Nature
- Местоположение издательства: Switzerland
- Первая страница: 59
- Последняя страница: 65
- DOI: 10.1007/978-3-030-50460-1_6
- Аннотация: The formulations and the new exact self-similar solutions of the diffusion-vortex problems in terms of stresses simulating a non-steady one-dimensional shear in some curvilinear orthogonal coordinate system of two-constant rigid visco-plastic medium (the Bingham solid), are analyzed. Both the diffusion of plane and axisymmetric vortex layers as and the diffusion of vortex thread belong to these type of incompressible flows. A shear is realized inside the certain expanding in time subdomains of infinite space with beforehand unknown bounds. Herewith one possible way for formulation of additional condition at infinity is described. We introduce into consideration the generalized diffusion of vortex which contains several material parameters and an order of stress irregularity in zero. The self-similar solutions where an order of irregularity corresponds or does not correspond to the kind of shear in the selected coordinate system are constructed.
- Добавил в систему: Георгиевский Дмитрий Владимирович