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Asymptotics of solutions for two elastic plates with thin junction Full article

Journal Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304
Output data Year: 2022, Volume: 19, Number: 2, Pages: 484-501 Pages count : 18 DOI: 10.33048/semi.2022.19.041
Tags Thin junction, elastic plate, rigidity parameter, non-coercive boundary value problem, thin inclusion
Authors Khludnev Aleksandr Mikhailovich 1,2
Affiliations
1 Lavrentyev Institute of Hydrodynamics
2 Sobolev Institute of Mathematics SB RAS

Abstract: The paper concerns an equilibrium problem for two elastic plates connected by a thin junction (bridge) in a case of Neumann boundary conditions, which provide a non-coercivity for the problem. An existence of solutions is proved. Passages to limits are justied with respect to the rigidity parameter of the junction. In particular, the rigidity parameter tends to innity and to zero. Limit models are investigated. http://semr.math.nsc.ru/v19/n2/p484-501.pdf
Cite: Khludnev A.M.
Asymptotics of solutions for two elastic plates with thin junction
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2022. V.19. N2. P.484-501. DOI: 10.33048/semi.2022.19.041 WOS Scopus РИНЦ
Identifiers:
Web of science: WOS:000886649600007
Scopus: 2-s2.0-85136546071
Elibrary: 50336827
Citing:
DB Citing
Scopus 5
Elibrary 7
Web of science 4
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