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On the Equilibrium of Elastic Bodies with a Weakly Curved Junction Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789
Output data Year: 2023, Volume: 17, Number: 3, Pages: 544-556 Pages count : 13 DOI: 10.1134/s1990478923030080
Tags boundary value problem, nonlinear boundary condition, elastic body, thin junction, crack
Authors Khludnev A.M. 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Funding (1)

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

Abstract: The paper addresses the analysis of a boundary value problem with an unknown contact area that describes equilibrium of two-dimensional elastic bodies with a thin weakly curved junction. It is assumed that the junction exfoliates from the elastic bodies to form interfacial cracks. Nonlinear boundary conditions in the form of inequalities are set on the crack faces and exclude the mutual penetration of the edges. The unique solvability of the boundary value problem is established. The analysis of passages to the limit as the junction stiffness parameter tends to infinity and to zero is carried out, and limit models are investigated
Cite: Khludnev A.M.
On the Equilibrium of Elastic Bodies with a Weakly Curved Junction
Journal of Applied and Industrial Mathematics. 2023. V.17. N3. P.544-556. DOI: 10.1134/s1990478923030080 Scopus РИНЦ OpenAlex
Original: Хлуднев А.
О РАВНОВЕСИИ УПРУГИХ ТЕЛ СО СЛАБО ИСКРИВЛЕННОЙ ПЕРЕМЫЧКОЙ
Сибирский журнал индустриальной математики. 2023. Т.26. №3. С.154-168. DOI: 10.33048/SIBJIM.2023.26.312 РИНЦ
Dates:
Submitted: Apr 10, 2023
Accepted: Apr 27, 2023
Published print: Sep 30, 2023
Identifiers:
Scopus: 2-s2.0-85175806925
Elibrary: 63836116
OpenAlex: W4388337273
Citing: Пока нет цитирований
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