Методи декомпозиції області для задачі про статичну рівновагу системи пружних тіл, з’єднаних через тонкі нелінійні прошарки
We have proposed variational formulations of a problem of static equilibrium of a systemof elastic bodies connected through intermediate layers, the normal and tangential stiffness ofwhich is described by the nonlinear Winkler model. The conditions of existence and uniqueness ofa solution of the var...
Збережено в:
| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Теми: | |
| Онлайн доступ: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/103 |
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| Назва журналу: | Physico-mathematical modeling and informational technologies |
Репозитарії
Physico-mathematical modeling and informational technologies| Резюме: | We have proposed variational formulations of a problem of static equilibrium of a systemof elastic bodies connected through intermediate layers, the normal and tangential stiffness ofwhich is described by the nonlinear Winkler model. The conditions of existence and uniqueness ofa solution of the variational problems have been established. For solving the nonlinear variationalequation, that corresponds to the original contact problem, on the continuous level we havedeveloped a set of parallel nonstationary iterative domain decomposition methods of Robin type.The numerical investigations of these methods for the problem of plane deformation of the threelayeredrectangular body using the finite element approximations have been performed. |
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