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Inverse problem for elastic body with thin elastic inclusion Научная публикация

Журнал Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219
Вых. Данные Год: 2020, Том: 28, Номер: 2, Страницы: 195-209 Страниц : 15 DOI: 10.1515/jiip-2019-0075
Ключевые слова Inverse problem; variational inequality; thin inclusion; damage parameter; nonlinear boundary conditions; crack
Авторы Хлуднев Александр Михайлович 1,2
Организации
1 Lavrentyev Institute of Hydrodynamics of RAS, Lavrentyev pr. 15 2 Novosibirsk State University
2 Novosibirsk State University

Реферат: An inverse problem for an elastic body with a thin elastic inclusion is investigated. It is assumed that the inclusion crosses the external boundary of the elastic body. A connection between the inclusion and the elastic body is characterized by the damage parameter. We study a dependence of the solutions on the damage parameter. In particular, passages to infinity and to zero of the damage parameter are investigated. Limit models are analyzed. Assuming that the damage and rigidity parameters of the model are unknown, inverse problems are formulated. Sufficient conditions for the inverse problems to have solutions are found. Estimates concerning solutions of the inverse problem are established.
Библиографическая ссылка: Khludnev A.M.
Inverse problem for elastic body with thin elastic inclusion
Journal of Inverse and Ill-Posed Problems. 2020. V.28. N2. P.195-209. DOI: 10.1515/jiip-2019-0075 WOS Scopus РИНЦ OpenAlex
Даты:
Опубликована в печати: 1 апр. 2020 г.
Идентификаторы БД:
Web of science: WOS:000544306100004
Scopus: 2-s2.0-85075719943
РИНЦ: 43209735
OpenAlex: W2989591248
Цитирование в БД:
БД Цитирований
Scopus 8
OpenAlex 8
РИНЦ 7
Web of science 7
Альметрики: