Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates

Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates Научная публикация

Журнал

International Journal of Solids and Structures
ISSN: 0020-7683

Вых. Данные

Год: 2020, Том: 202, Страницы: 562-574 Страниц : 13 DOI: 10.1016/j.ijsolstr.2020.06.044

Ключевые слова

Asymptotic analysis; Biharmonic equation; Bonded structure; Composite material; Interface conditions; Kirchhoff-Love plate

Авторы

Furtsev Alexey ^1,2 , Rudoy Evgeny ^1,2,3

Организации

1	Lavrentyev Institute of Hydrodynamics
2	Novosibirsk State University
3	Sobolev Institute of Mathematics SB RAS

Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called adhesive) of small width between two plates (called adherents) is considered. It is assumed that elastic properties of the adhesive layer depend on its width which is a small parameter of the problem. Our goal is to perform an asymptotic analysis as the parameter goes to zero. It is shown that depending on the softness or stiffness of the adhesive, there are seven distinct types of interface conditions. In all cases, we establish weak convergence of the solutions of the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions of corresponding equilibrium problems.

Furtsev A. , Rudoy E.
Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates
International Journal of Solids and Structures. 2020. V.202. P.562-574. DOI: 10.1016/j.ijsolstr.2020.06.044 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	15 янв. 2020 г.
Принята к публикации:	30 июн. 2020 г.
Опубликована online:	14 июл. 2020 г.

Web of science:	WOS:000573218100044
Scopus:	2-s2.0-85088145737
РИНЦ:	45450333
OpenAlex:	W3042488694

БД	Цитирований
Scopus	35
Web of science	32
OpenAlex	33
РИНЦ	42