On equilibrium of a two-layer elastic structure with a crack in non-coercive case Full article
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Zeitschrift fur Angewandte Mathematik und Physik
ISSN: 0044-2275 |
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| Output data | Year: 2024, Volume: 75, Number: 3, Article number : 88, Pages count : 14 DOI: 10.1007/s00033-024-02237-4 | ||
| Tags | 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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Abstract:
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.
Cite:
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
Dates:
| Submitted: | Jan 31, 2024 |
| Accepted: | Mar 15, 2024 |
| Published print: | Apr 22, 2024 |
Identifiers:
| Web of science: | WOS:001207333300006 |
| Scopus: | 2-s2.0-85191095112 |
| Elibrary: | 66803640 |
| OpenAlex: | W4394996282 |
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