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On the crossing bridge between two Kirchhoff-Love plates Full article

Journal Axioms
ISSN: 2075-1680
Output data Year: 2023, Volume: 12, Number: 2, Article number : 120, Pages count : DOI: 10.3390/axioms12020120
Authors Khludnev A.M. 1,2
Affiliations
1 Institute of Hydrodynamics of SB RAS
2 Sobolev Institute of Mathematics of SB RAS

Abstract: The paper is concerned with equilibrium problems for two elastic plates connected by a crossing elastic bridge. It is assumed that an inequality type condition is imposed providing a mutual non-penetration between the plates and the bridge. The existence of solutions is proved, and passages to limits are justified as the rigidity parameter of the bridge tends to infinity and to zero. Limit models are analyzed. The inverse problem is investigated with unknown both the displacement field and the elasticity tensor of the plate. In this case, an additional information concerning a displacement of a given point of the plate is assumed be given. A solution existence of the inverse problem is proved
Cite: Khludnev A.M.
On the crossing bridge between two Kirchhoff-Love plates
Axioms. 2023. V.12. N2. 120 . DOI: 10.3390/axioms12020120 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000938771400001
Scopus: 2-s2.0-85148875649
Elibrary: 54625296
OpenAlex: W4318199994
Citing:
DB Citing
OpenAlex 3
Elibrary 6
Scopus 2
Web of science 2
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