On equilibrium of a two-layer elastic structure with a crack in non-coercive case

On equilibrium of a two-layer elastic structure with a crack in non-coercive case Научная публикация

Журнал

Zeitschrift fur Angewandte Mathematik und Physik
ISSN: 0044-2275

Вых. Данные

Год: 2024, Том: 75, Номер: 3, Номер статьи : 88, Страниц : 14 DOI: 10.1007/s00033-024-02237-4

Ключевые слова

TWO-LAYER ELASTIC STRUCTURE, CRACK, NON-PENETRATION BOUNDARY CONDITIONS, NON-COERCIVITY, 35J88, 74G65, THEORETICAL AND APPLIED MECHANICS, MATHEMATICAL METHODS IN PHYSICS

Авторы

Khludnev Alexander ¹

Организации

1	Lavrentyev Institute of Hydrodynamics

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0010

The paper concerns an analysis of a free boundary problem describing an equilibrium state of a two-layer elastic structure with a crack in a non-coercive case. The non-coercivity of the problem is a consequence of the Neumann boundary conditions on external boundaries. Nonlinear constraints are imposed at the crack faces providing a mutual non-penetration between them. Necessary and sufficient conditions imposed on external forces are found for a solvability of the problem. Limiting passages are investigated as a rigidity of the elastic layer converges to infinity and to zero. Both variational and differential problems formulations are analyzed.

Khludnev A.
On equilibrium of a two-layer elastic structure with a crack in non-coercive case
Zeitschrift fur Angewandte Mathematik und Physik. 2024. V.75. N3. 88 :1-14. DOI: 10.1007/s00033-024-02237-4 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	31 янв. 2024 г.
Принята к публикации:	15 мар. 2024 г.
Опубликована в печати:	22 апр. 2024 г.

Web of science:	WOS:001207333300006
Scopus:	2-s2.0-85191095112
РИНЦ:	66803640
OpenAlex:	W4394996282

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