Junction problem for thin elastic and volume rigid inclusions in elastic body Научная публикация
Журнал |
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN: 1364-503X |
||||
---|---|---|---|---|---|
Вых. Данные | Год: 2022, Номер: 380, Номер статьи : 20210360, Страниц : DOI: 10.1098/rsta.2021.0360 | ||||
Ключевые слова | crack; damage parameter; junction conditions; rigid inclusion; thin elastic inclusion; variational inequality | ||||
Авторы |
|
||||
Организации |
|
Реферат:
The article concerns a junction problem for two-dimensional elastic body with a thin elastic inclusion and a volume rigid inclusion. It is assumed that the inclusions have a common point. A delamination of the thin inclusion from the surrounding elastic body is assumed thus forming an interfacial crack. Constraint-type boundary conditions are imposed at the crack faces to prevent interpenetration between the faces. Moreover, a connection between the crack faces is characterized by a positive damage parameter. Limit transitions are justified as the damage parameter tends to infinity and to zero. In addition to this, a transition to limit is analysed as a rigidity parameter of the thin inclusion tends to infinity. Limit models are investigated. In particular, junction conditions at the common point are found for all cases considered.
Библиографическая ссылка:
Khludnev A.M.
Junction problem for thin elastic and volume rigid inclusions in elastic body
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022. N380. 20210360 . DOI: 10.1098/rsta.2021.0360 WOS Scopus РИНЦ OpenAlex
Junction problem for thin elastic and volume rigid inclusions in elastic body
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022. N380. 20210360 . DOI: 10.1098/rsta.2021.0360 WOS Scopus РИНЦ OpenAlex
Даты:
Поступила в редакцию: | 30 янв. 2022 г. |
Принята к публикации: | 1 мар. 2022 г. |
Опубликована в печати: | 26 сент. 2022 г. |
Идентификаторы БД:
Web of science: | WOS:000861201200010 |
Scopus: | 2-s2.0-85138548115 |
РИНЦ: | 57268877 |
OpenAlex: | W4297200957 |