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

в: Mechanics Research Communications, Том 106, 103521, 06.2020.

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

Harvard

Bochkarev, A 2020, 'On the account of surface tension nonlinearity under of nano-plate bending', Mechanics Research Communications, Том. 106, 103521. https://doi.org/10.1016/j.mechrescom.2020.103521

APA

Bochkarev, A. (2020). On the account of surface tension nonlinearity under of nano-plate bending. Mechanics Research Communications, 106, [103521]. https://doi.org/10.1016/j.mechrescom.2020.103521

Vancouver

Bochkarev A. On the account of surface tension nonlinearity under of nano-plate bending. Mechanics Research Communications. 2020 Июнь;106. 103521. https://doi.org/10.1016/j.mechrescom.2020.103521

Author

Bochkarev, Anatolii. / On the account of surface tension nonlinearity under of nano-plate bending. в: Mechanics Research Communications. 2020 ; Том 106.

BibTeX

@article{0cd4b3ea64084c608188c94ca6af5f04,
title = "On the account of surface tension nonlinearity under of nano-plate bending",
abstract = "A nonlinear von K{\'a}rm{\'a}n-type model of nano-plate bending was formulated incorporating the surface elasticity of Gurtin–Murdoch and basing on the Kirchhoff hypothesis. Unlike most of previous related theories, surface tension was taken into account with quadratic terms equal to the von K{\'a}rm{\'a}n-type strains. Besides, it was shown it is surface tension, incorporated in bending equation, that is responsible for the conjugation condition of Young–Laplace law in the transverse direction, which until recently has been usually omitted or indirectly satisfied. The example of solving a nonlinear one-dimensional problem illustrated the effect of surface tension on bending, free transverse vibrations, and compressive buckling of a nano-plate.",
keywords = "Elastic nano-plate, Gurtin–Murdoch, Surface stresses, Von K{\'a}rm{\'a}n, Young–Laplace law, Von Karman, BEHAVIOR, SIZE, STRESSES, FILMS, Young-Laplace law, NANOSCALE, Gurtin-Murdoch",
author = "Anatolii Bochkarev",
year = "2020",
month = jun,
doi = "10.1016/j.mechrescom.2020.103521",
language = "English",
volume = "106",
journal = "Mechanics Research Communications",
issn = "0093-6413",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On the account of surface tension nonlinearity under of nano-plate bending

AU - Bochkarev, Anatolii

PY - 2020/6

Y1 - 2020/6

N2 - A nonlinear von Kármán-type model of nano-plate bending was formulated incorporating the surface elasticity of Gurtin–Murdoch and basing on the Kirchhoff hypothesis. Unlike most of previous related theories, surface tension was taken into account with quadratic terms equal to the von Kármán-type strains. Besides, it was shown it is surface tension, incorporated in bending equation, that is responsible for the conjugation condition of Young–Laplace law in the transverse direction, which until recently has been usually omitted or indirectly satisfied. The example of solving a nonlinear one-dimensional problem illustrated the effect of surface tension on bending, free transverse vibrations, and compressive buckling of a nano-plate.

AB - A nonlinear von Kármán-type model of nano-plate bending was formulated incorporating the surface elasticity of Gurtin–Murdoch and basing on the Kirchhoff hypothesis. Unlike most of previous related theories, surface tension was taken into account with quadratic terms equal to the von Kármán-type strains. Besides, it was shown it is surface tension, incorporated in bending equation, that is responsible for the conjugation condition of Young–Laplace law in the transverse direction, which until recently has been usually omitted or indirectly satisfied. The example of solving a nonlinear one-dimensional problem illustrated the effect of surface tension on bending, free transverse vibrations, and compressive buckling of a nano-plate.

KW - Elastic nano-plate

KW - Gurtin–Murdoch

KW - Surface stresses

KW - Von Kármán

KW - Young–Laplace law

KW - Von Karman

KW - BEHAVIOR

KW - SIZE

KW - STRESSES

KW - FILMS

KW - Young-Laplace law

KW - NANOSCALE

KW - Gurtin-Murdoch

UR - http://www.scopus.com/inward/record.url?scp=85084188063&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/74f81960-d479-32f2-8a13-868a3e33f7ff/

U2 - 10.1016/j.mechrescom.2020.103521

DO - 10.1016/j.mechrescom.2020.103521

M3 - Article

AN - SCOPUS:85084188063

VL - 106

JO - Mechanics Research Communications

JF - Mechanics Research Communications

SN - 0093-6413

M1 - 103521

ER -

ID: 53442425