Standard

Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams. / Nazarov, S.A.; Slutskij, A. S.

In: Journal of Mathematical Sciences, Vol. 216, No. 2, 2016, p. 279–312.

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

Harvard

Nazarov, SA & Slutskij, AS 2016, 'Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams', Journal of Mathematical Sciences, vol. 216, no. 2, pp. 279–312. https://doi.org/10.1007/s10958-016-2901-3

APA

Nazarov, S. A., & Slutskij, A. S. (2016). Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams. Journal of Mathematical Sciences, 216(2), 279–312. https://doi.org/10.1007/s10958-016-2901-3

Vancouver

Nazarov SA, Slutskij AS. Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams. Journal of Mathematical Sciences. 2016;216(2):279–312. https://doi.org/10.1007/s10958-016-2901-3

Author

Nazarov, S.A. ; Slutskij, A. S. / Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams. In: Journal of Mathematical Sciences. 2016 ; Vol. 216, No. 2. pp. 279–312.

BibTeX

@article{10e270e89285452ab5445b713622eb16,
title = "Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams",
abstract = "We propose a one-dimensional asymptotic model of an L-shaped junction of two thin two-dimensional elastic beams subject to boundary conditions of different type at external bean ends. The beams are described by standard systems of the Kirchhoff ordinary differential equations, whereas the transmission conditions on coincident (internal) nodes essentially depend on the type of boundary conditions on the external beam ends. The transmission conditions are obtained by analyzing the boundary layer near internal nodes. The asymptotics is justified with the help of a weighted anisotropic Korn inequality.",
author = "S.A. Nazarov and Slutskij, {A. S.}",
year = "2016",
doi = "10.1007/s10958-016-2901-3",
language = "English",
volume = "216",
pages = "279–312",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams

AU - Nazarov, S.A.

AU - Slutskij, A. S.

PY - 2016

Y1 - 2016

N2 - We propose a one-dimensional asymptotic model of an L-shaped junction of two thin two-dimensional elastic beams subject to boundary conditions of different type at external bean ends. The beams are described by standard systems of the Kirchhoff ordinary differential equations, whereas the transmission conditions on coincident (internal) nodes essentially depend on the type of boundary conditions on the external beam ends. The transmission conditions are obtained by analyzing the boundary layer near internal nodes. The asymptotics is justified with the help of a weighted anisotropic Korn inequality.

AB - We propose a one-dimensional asymptotic model of an L-shaped junction of two thin two-dimensional elastic beams subject to boundary conditions of different type at external bean ends. The beams are described by standard systems of the Kirchhoff ordinary differential equations, whereas the transmission conditions on coincident (internal) nodes essentially depend on the type of boundary conditions on the external beam ends. The transmission conditions are obtained by analyzing the boundary layer near internal nodes. The asymptotics is justified with the help of a weighted anisotropic Korn inequality.

U2 - 10.1007/s10958-016-2901-3

DO - 10.1007/s10958-016-2901-3

M3 - Article

VL - 216

SP - 279

EP - 312

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 7593782