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Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control Научная публикация

Журнал Computers and Mathematics with Applications
ISSN: 0898-1221
Вых. Данные Год: 2019, Том: 77, Номер: 1, Страницы: 253-262 Страниц : 10 DOI: 10.1016/j.camwa.2018.09.030
Ключевые слова Semirigid inclusion, Non-penetration, CrackVariational inequality, Junction conditions, Optimal control problem
Авторы Хлуднев Александр Михайлович 1,2 , Попова Татьяна 3
Организации
1 Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences
2 Novosibirsk State University,
3 North-Eastern Federal University

Реферат: The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.
Библиографическая ссылка: Khludnev A.M. , Popova T.
Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control
Computers and Mathematics with Applications. 2019. V.77. N1. P.253-262. DOI: 10.1016/j.camwa.2018.09.030 WOS Scopus РИНЦ OpenAlex
Даты:
Опубликована online: 8 окт. 2018 г.
Опубликована в печати: 1 янв. 2019 г.
Идентификаторы БД:
Web of science: WOS:000456762400018
Scopus: 2-s2.0-85054428870
РИНЦ: 38613765
OpenAlex: W2896483177
Цитирование в БД:
БД Цитирований
Scopus 21
OpenAlex 21
РИНЦ 21
Web of science 18
Альметрики: