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Comment on “On the account of surface tension nonlinearity under of nano-plate bending”. / Bochkarev, Anatolii.

In: Mechanics Research Communications, Vol. 108, 103578, 09.2020.

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@article{42375c3868e940ab81750033684f2256,
title = "Comment on “On the account of surface tension nonlinearity under of nano-plate bending”",
abstract = "Examples of solving a nonlinear one-dimensional problem on bending, compressive buckling, and free transverse vibrations of a nano-film, considered in the commented article, have shown primarily the effect of the linear part of surface tension, where it is main, whereas its quadratic terms make a small contribution. In the present paper was considered postbuckling of the nano-film, when the known von K{\'a}rm{\'a}n-type models of nano-plate bending reduce to a linear problem and allow only the critical Euler force to be determined. The proposed model allows to describe post-buckling fully, in particular to build the load-deflection ratio.",
keywords = "Elastic nano-plate, Gurtin-Murdoch, Surface stresses, von K{\'a}rm{\'a}n, Young-Laplace law, von Karman",
author = "Anatolii Bochkarev",
year = "2020",
month = sep,
doi = "10.1016/j.mechrescom.2020.103578",
language = "English",
volume = "108",
journal = "Mechanics Research Communications",
issn = "0093-6413",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Comment on “On the account of surface tension nonlinearity under of nano-plate bending”

AU - Bochkarev, Anatolii

PY - 2020/9

Y1 - 2020/9

N2 - Examples of solving a nonlinear one-dimensional problem on bending, compressive buckling, and free transverse vibrations of a nano-film, considered in the commented article, have shown primarily the effect of the linear part of surface tension, where it is main, whereas its quadratic terms make a small contribution. In the present paper was considered postbuckling of the nano-film, when the known von Kármán-type models of nano-plate bending reduce to a linear problem and allow only the critical Euler force to be determined. The proposed model allows to describe post-buckling fully, in particular to build the load-deflection ratio.

AB - Examples of solving a nonlinear one-dimensional problem on bending, compressive buckling, and free transverse vibrations of a nano-film, considered in the commented article, have shown primarily the effect of the linear part of surface tension, where it is main, whereas its quadratic terms make a small contribution. In the present paper was considered postbuckling of the nano-film, when the known von Kármán-type models of nano-plate bending reduce to a linear problem and allow only the critical Euler force to be determined. The proposed model allows to describe post-buckling fully, in particular to build the load-deflection ratio.

KW - Elastic nano-plate

KW - Gurtin-Murdoch

KW - Surface stresses

KW - von Kármán

KW - Young-Laplace law

KW - von Karman

UR - http://www.scopus.com/inward/record.url?scp=85089262638&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/394b877e-763c-3c07-86f0-0c8677587358/

U2 - 10.1016/j.mechrescom.2020.103578

DO - 10.1016/j.mechrescom.2020.103578

M3 - Editorial

AN - SCOPUS:85089262638

VL - 108

JO - Mechanics Research Communications

JF - Mechanics Research Communications

SN - 0093-6413

M1 - 103578

ER -

ID: 61364333