Asymptotic analysis of thin elastic junction between two elastic bodies

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Asymptotic analysis of thin elastic junction between two elastic bodies. / Khludnev, A. M.

In: Applicable Analysis, 14.08.2021.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{724b31598c2c49608f31c177755d596f,

title = "Asymptotic analysis of thin elastic junction between two elastic bodies",

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.",

keywords = "35B30, 35J88, crack, elastic body, non-penetration boundary condition, Thin junction, variational inequality",

author = "Khludnev, {A. M.}",

note = "This work was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

month = aug,

day = "14",

doi = "10.1080/00036811.2021.1965582",

language = "English",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "TAYLOR & FRANCIS INC",

}

RIS

TY - JOUR

T1 - Asymptotic analysis of thin elastic junction between two elastic bodies

AU - Khludnev, A. M.

N1 - This work was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2021/8/14

Y1 - 2021/8/14

N2 - 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.

AB - 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.

KW - 35B30

KW - 35J88

KW - crack

KW - elastic body

KW - non-penetration boundary condition

KW - Thin junction

KW - variational inequality

UR - http://www.scopus.com/inward/record.url?scp=85112517301&partnerID=8YFLogxK

U2 - 10.1080/00036811.2021.1965582

DO - 10.1080/00036811.2021.1965582

M3 - Article

AN - SCOPUS:85112517301

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

ER -

ID: 34153786