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Asymptotic analysis of thin elastic junction between two elastic bodies Full article

Journal Applicable Analysis
ISSN: 0003-6811
Output data Year: 2023, Volume: 102, Number: 3, Pages: 800-814 Pages count : 15 DOI: 10.1080/00036811.2021.1965582
Tags crack; elastic body; non-penetration boundary condition; Thin junction; variational inequality
Authors Khludnev Aleksandr Mikhailovich 1,2,3
Affiliations
1 Lavrentyev Institute of Hydrodynamics of RAS
2 Sobolev Institute of Mathematics of RAS
3 Novosibirsk State University

Funding (1)

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

Abstract: In this paper, an equilibrium problem for two elastic bodies connected by a thin junction (bridge) is analyzed. An existence of solutions is proved. Passages to limits are justified with respect to the rigidity parameter of the junction. In particular, the rigidity parameter tends to infinity and to zero. Limit models are investigated.
Cite: Khludnev A.M.
Asymptotic analysis of thin elastic junction between two elastic bodies
Applicable Analysis. 2023. V.102. N3. P.800-814. DOI: 10.1080/00036811.2021.1965582 WOS Scopus OpenAlex
Dates:
Published online: Aug 14, 2021
Identifiers:
Web of science: WOS:000685006500001
Scopus: 2-s2.0-85112517301
OpenAlex: W3194678726
Citing:
DB Citing
Scopus 2
OpenAlex 1
Web of science 1
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