Результаты исследований: Научные публикации в периодических изданиях › редакционная статья › Рецензирование
Comment on “On the account of surface tension nonlinearity under of nano-plate bending”. / Bochkarev, Anatolii.
в: Mechanics Research Communications, Том 108, 103578, 09.2020.Результаты исследований: Научные публикации в периодических изданиях › редакционная статья › Рецензирование
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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