Equilibrium of a three-layer plate with a crack | Sciact - научная деятельность

Equilibrium of a three-layer plate with a crack Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Вых. Данные

Год: 2022, Том: 16, Номер: 1, Страницы: 122-135 Страниц : 14 DOI: 10.1134/S1990478922010124

Ключевые слова

Kirchhoff–Love plate, three-layer plate, crack with nonpenetration condition

Авторы

Пяткина Евдокия Владимировна ¹

Организации

1	Lavrentyev Institute of Hydrodynamics

We study the problem of equilibrium for a three-layer plate clamped at the outer edge and containing a through vertical crack. The three-layer plate consists of two structural layers considered as anisotropic Kirchhoff–Love plates and a soft layer between them. The nonpenetration condition is imposed at the crack edges in the structural layers. The passage to the limit as the width of the soft layer tends to zero and its reduced stiffness tends to infinity is considered. The unique solvability is shown and variational and differential statements are presented for both problems.

Pyatkina E.V.
Equilibrium of a three-layer plate with a crack
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.122-135. DOI: 10.1134/S1990478922010124 Scopus РИНЦ OpenAlex

Пяткина Е.В.
Равновесие трехслойной пластины с трещиной
Сибирский журнал индустриальной математики. 2022. Т.25. №1. С.105--120. РИНЦ

Поступила в редакцию:	22 июл. 2021 г.
Принята к публикации:	21 окт. 2021 г.

≡ Scopus:	2-s2.0-85134008138
≡ РИНЦ:	51950044
≡ OpenAlex:	W4285410626