On equilibrium of a two-layer elastic structure with a crack in non-coercive case Научная публикация
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Zeitschrift fur Angewandte Mathematik und Physik
ISSN: 0044-2275 |
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| 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 | ||
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Реферат:
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.
Библиографическая ссылка:
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
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
Даты:
| Поступила в редакцию: | 31 янв. 2024 г. |
| Принята к публикации: | 15 мар. 2024 г. |
| Опубликована в печати: | 22 апр. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001207333300006 |
| Scopus: | 2-s2.0-85191095112 |
| РИНЦ: | 66803640 |
| OpenAlex: | W4394996282 |
Цитирование в БД:
Пока нет цитирований