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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 Хлуднев Александр Михайлович 1,2
Организации
1 Lavrentyev Institute of Hydrodynamics
2 Novosibirsk State University

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
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
Цитирование в БД:
БД Цитирований
Scopus 8
OpenAlex 6
РИНЦ 7
Web of science 7
Альметрики: