On the Equilibrium of Elastic Bodies with a Weakly Curved Junction | Sciact

On the Equilibrium of Elastic Bodies with a Weakly Curved Junction Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Вых. Данные

Год: 2023, Том: 17, Номер: 3, Страницы: 544-556 Страниц : 13 DOI: 10.1134/s1990478923030080

Ключевые слова

boundary value problem, nonlinear boundary condition, elastic body, thin junction, crack

Авторы

Khludnev A.M. ¹

Организации

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0010

The paper addresses the analysis of a boundary value problem with an unknown contact area that describes equilibrium of two-dimensional elastic bodies with a thin weakly curved junction. It is assumed that the junction exfoliates from the elastic bodies to form interfacial cracks. Nonlinear boundary conditions in the form of inequalities are set on the crack faces and exclude the mutual penetration of the edges. The unique solvability of the boundary value problem is established. The analysis of passages to the limit as the junction stiffness parameter tends to infinity and to zero is carried out, and limit models are investigated

Khludnev A.M.
On the Equilibrium of Elastic Bodies with a Weakly Curved Junction
Journal of Applied and Industrial Mathematics. 2023. V.17. N3. P.544-556. DOI: 10.1134/s1990478923030080 Scopus РИНЦ OpenAlex

Хлуднев А.
О РАВНОВЕСИИ УПРУГИХ ТЕЛ СО СЛАБО ИСКРИВЛЕННОЙ ПЕРЕМЫЧКОЙ
Сибирский журнал индустриальной математики. 2023. Т.26. №3. С.154-168. DOI: 10.33048/SIBJIM.2023.26.312 РИНЦ

Поступила в редакцию:	10 апр. 2023 г.
Принята к публикации:	27 апр. 2023 г.
Опубликована в печати:	30 сент. 2023 г.

Scopus:	2-s2.0-85175806925
РИНЦ:	63836116
OpenAlex:	W4388337273

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