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Models of Riveting : Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions. / Nazarov, S. A.

в: Doklady Physics, Том 64, № 11, 01.11.2019, стр. 424-429.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Nazarov, SA 2019, 'Models of Riveting: Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions', Doklady Physics, Том. 64, № 11, стр. 424-429. https://doi.org/10.1134/S1028335819110028

APA

Nazarov, S. A. (2019). Models of Riveting: Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions. Doklady Physics, 64(11), 424-429. https://doi.org/10.1134/S1028335819110028

Vancouver

Nazarov SA. Models of Riveting: Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions. Doklady Physics. 2019 Нояб. 1;64(11):424-429. https://doi.org/10.1134/S1028335819110028

Author

Nazarov, S. A. / Models of Riveting : Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions. в: Doklady Physics. 2019 ; Том 64, № 11. стр. 424-429.

BibTeX

@article{175f25d8bc11446eb5fb18a61bfb2d38,
title = "Models of Riveting: Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions",
abstract = "Abstract: The Sobolev embedding theorem implies correct formulation of the Dirichlet condition at isolated points or transmission conditions that simulate contact welding, bolt or screw fastening, etc. The problems on bending the Kirchhoff plate with periodically distributed point supports and the joint of two plates by rows of rivets are considered. The asymptotic analysis performed provides asymptotic expansions of solutions and error estimates, namely, the one-dimensional model of a narrow plate and the transmission conditions at the common boundary of two plates. The results of homogenization differ seriously in the cases of one or several rows of supports and rivets. In particular, one-row riveting provides only a hinge joint of plates (discontinuities in the rotation angle are allowed), but two-row riveting provides an almost complete clutch at which all elastic fields become, in main, continuous at the common edge.",
author = "Nazarov, {S. A.}",
year = "2019",
month = nov,
day = "1",
doi = "10.1134/S1028335819110028",
language = "English",
volume = "64",
pages = "424--429",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "11",

}

RIS

TY - JOUR

T1 - Models of Riveting

T2 - Asymptotic Analyses of Kirchhoff Plates with Sobolev Point Conditions

AU - Nazarov, S. A.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - Abstract: The Sobolev embedding theorem implies correct formulation of the Dirichlet condition at isolated points or transmission conditions that simulate contact welding, bolt or screw fastening, etc. The problems on bending the Kirchhoff plate with periodically distributed point supports and the joint of two plates by rows of rivets are considered. The asymptotic analysis performed provides asymptotic expansions of solutions and error estimates, namely, the one-dimensional model of a narrow plate and the transmission conditions at the common boundary of two plates. The results of homogenization differ seriously in the cases of one or several rows of supports and rivets. In particular, one-row riveting provides only a hinge joint of plates (discontinuities in the rotation angle are allowed), but two-row riveting provides an almost complete clutch at which all elastic fields become, in main, continuous at the common edge.

AB - Abstract: The Sobolev embedding theorem implies correct formulation of the Dirichlet condition at isolated points or transmission conditions that simulate contact welding, bolt or screw fastening, etc. The problems on bending the Kirchhoff plate with periodically distributed point supports and the joint of two plates by rows of rivets are considered. The asymptotic analysis performed provides asymptotic expansions of solutions and error estimates, namely, the one-dimensional model of a narrow plate and the transmission conditions at the common boundary of two plates. The results of homogenization differ seriously in the cases of one or several rows of supports and rivets. In particular, one-row riveting provides only a hinge joint of plates (discontinuities in the rotation angle are allowed), but two-row riveting provides an almost complete clutch at which all elastic fields become, in main, continuous at the common edge.

UR - http://www.scopus.com/inward/record.url?scp=85077027964&partnerID=8YFLogxK

U2 - 10.1134/S1028335819110028

DO - 10.1134/S1028335819110028

M3 - Article

AN - SCOPUS:85077027964

VL - 64

SP - 424

EP - 429

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 11

ER -

ID: 60873805