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Non-coercive problems for elastic plates with thin junction Full article

Journal Mathematics and Mechanics of Solids
ISSN: 1081-2865
Output data Year: 2024, Volume: 29, Number: 11, Pages: 2236-2245 Pages count : 10 DOI: 10.1177/10812865241252375
Authors Khludnev Alexander M 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, Novosibirsk, Russia

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0010

Abstract: each other by a thin junction. The non-coercivity of the problem is due to the Neumann-type conditions imposed at the external boundaries of the plates. A solution existence is proved for suitable given external forces. Passages to limits are justified as a rigidity parameter of the junction tends to infinity and to zero. We prove that the model corresponding to the first limit case describes an equilibrium of elastic plates with a thin rigid junction; the second limit model fits to the equilibrium state of two elastic plates independent of each other.
Cite: Khludnev A.M.
Non-coercive problems for elastic plates with thin junction
Mathematics and Mechanics of Solids. 2024. V.29. N11. P.2236-2245. DOI: 10.1177/10812865241252375 WOS Scopus РИНЦ OpenAlex
Dates:
Published online: Jul 26, 2024
Identifiers:
Web of science: WOS:001278012500001
Scopus: 2-s2.0-85199976194
Elibrary: 68548488
OpenAlex: W4401030507
Citing: Пока нет цитирований
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