Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies Научная публикация
| Журнал |
Applications in Engineering Science
ISSN: 2666-4968 |
||||||
|---|---|---|---|---|---|---|---|
| Вых. Данные | Год: 2021, Том: 7, Страницы: 100060 Страниц : 5 DOI: 10.1016/j.apples.2021.100060 | ||||||
| Ключевые слова | Contact; Crack; Mixed variational formulation; Nonlinear elasticity; Penalization; Pseudo-monotone variational inequality; Quasi-linear elliptic problem; Volumetric-deviatoric decomposition; Well-posedness | ||||||
| Авторы |
|
||||||
| Организации |
|
Реферат:
A class of models in the theory of elasticity is considered, where a material response between the linearized strain and the stress is assumed to be nonlinear with respect to the mean normal stress. The governing system is endowed with a mixed variational formulation treating the displacement, the deviatoric stress and the mean normal stress as three independent fields. The body contains an inner crack subjected to a non-penetration condition. The resulting problem is described as a pseudo-monotone variational inequality. Its well-posedness is established based on the Galerkin approximation, penalty regularization, and the existence theorem developed by Brézis.
Библиографическая ссылка:
Itou H.
, Kovtunenko V.A.
, Rudoy E.M.
Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies
Applications in Engineering Science. 2021. V.7. P.100060. DOI: 10.1016/j.apples.2021.100060 WOS Scopus РИНЦ OpenAlex
Three-field mixed formulation of elasticity model nonlinear in the mean normal stress for the problem of non-penetrating cracks in bodies
Applications in Engineering Science. 2021. V.7. P.100060. DOI: 10.1016/j.apples.2021.100060 WOS Scopus РИНЦ OpenAlex
Даты:
| Опубликована в печати: | 30 сент. 2021 г. |
Идентификаторы БД:
| Web of science: | WOS:001025476000010 |
| Scopus: | 2-s2.0-85136012890 |
| РИНЦ: | 60780235 |
| OpenAlex: | W3177495628 |