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On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate. / Бочкарёв, Анатолий Олегович.

Stability and Control Processes. ed. / A Golovkina; N Smirnov. Springer Nature, 2022. p. 907-915 (Lecture Notes in Control and Information Sciences - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Бочкарёв, АО 2022, On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate. in A Golovkina & N Smirnov (eds), Stability and Control Processes. Lecture Notes in Control and Information Sciences - Proceedings, Springer Nature, pp. 907-915, Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov, Saint Petersburg, Russian Federation, 5/10/20. https://doi.org/10.1007/978-3-030-87966-2_104

APA

Бочкарёв, А. О. (2022). On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate. In A. Golovkina, & N. Smirnov (Eds.), Stability and Control Processes (pp. 907-915). (Lecture Notes in Control and Information Sciences - Proceedings). Springer Nature. https://doi.org/10.1007/978-3-030-87966-2_104

Vancouver

Бочкарёв АО. On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate. In Golovkina A, Smirnov N, editors, Stability and Control Processes. Springer Nature. 2022. p. 907-915. (Lecture Notes in Control and Information Sciences - Proceedings). https://doi.org/10.1007/978-3-030-87966-2_104

Author

Бочкарёв, Анатолий Олегович. / On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate. Stability and Control Processes. editor / A Golovkina ; N Smirnov. Springer Nature, 2022. pp. 907-915 (Lecture Notes in Control and Information Sciences - Proceedings).

BibTeX

@inproceedings{59473500085f4b8fac8d2becd984fe1b,
title = "On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate",
abstract = "As known, the constitutive relations of the Gurtin–Murdoch model of the surface elasticity take into account both elastic properties of a solid and surface tension of a liquid. Previously, most authors believed that, surface tension does not significantly affect the mechanical properties of a thin-walled elastic nano-objects and therefore it either was not or only in-plane taken into account, ignoring the Young–Laplace law in the transverse direction. In the present work, on the basis of the nonlinear representation of the surface tension obtained earlier, the structure of the strain energy of a nano-plate is substantiated, taking into account the surface tension in both tangential and transverse directions. Using the example of compressive buckling of a nano-plate, it is shown that the accounted surface tension terms can increase the size effect of the critical load up to 80%.",
author = "Бочкарёв, {Анатолий Олегович}",
year = "2022",
doi = "10.1007/978-3-030-87966-2_104",
language = "русский",
isbn = "978-3-030-87965-5",
series = "Lecture Notes in Control and Information Sciences - Proceedings",
publisher = "Springer Nature",
pages = "907--915",
editor = "A Golovkina and N Smirnov",
booktitle = "Stability and Control Processes",
address = "Германия",
note = "Stability and Control Processes : International Conference Dedicated to the Memory of Professor Vladimir Zubov, SCP ; Conference date: 05-10-2020 Through 09-10-2020",
url = "http://www.apmath.spbu.ru/scp2020/, http://www.apmath.spbu.ru/scp2020/ru/main/, http://www.apmath.spbu.ru/scp2020/eng/program/#schedule, https://link.springer.com/conference/scp",

}

RIS

TY - GEN

T1 - On the Account of Transverse Young–Laplace Law Under Stability of a Rectangular Nano-Plate

AU - Бочкарёв, Анатолий Олегович

N1 - Conference code: 4

PY - 2022

Y1 - 2022

N2 - As known, the constitutive relations of the Gurtin–Murdoch model of the surface elasticity take into account both elastic properties of a solid and surface tension of a liquid. Previously, most authors believed that, surface tension does not significantly affect the mechanical properties of a thin-walled elastic nano-objects and therefore it either was not or only in-plane taken into account, ignoring the Young–Laplace law in the transverse direction. In the present work, on the basis of the nonlinear representation of the surface tension obtained earlier, the structure of the strain energy of a nano-plate is substantiated, taking into account the surface tension in both tangential and transverse directions. Using the example of compressive buckling of a nano-plate, it is shown that the accounted surface tension terms can increase the size effect of the critical load up to 80%.

AB - As known, the constitutive relations of the Gurtin–Murdoch model of the surface elasticity take into account both elastic properties of a solid and surface tension of a liquid. Previously, most authors believed that, surface tension does not significantly affect the mechanical properties of a thin-walled elastic nano-objects and therefore it either was not or only in-plane taken into account, ignoring the Young–Laplace law in the transverse direction. In the present work, on the basis of the nonlinear representation of the surface tension obtained earlier, the structure of the strain energy of a nano-plate is substantiated, taking into account the surface tension in both tangential and transverse directions. Using the example of compressive buckling of a nano-plate, it is shown that the accounted surface tension terms can increase the size effect of the critical load up to 80%.

U2 - 10.1007/978-3-030-87966-2_104

DO - 10.1007/978-3-030-87966-2_104

M3 - статья в сборнике материалов конференции

SN - 978-3-030-87965-5

T3 - Lecture Notes in Control and Information Sciences - Proceedings

SP - 907

EP - 915

BT - Stability and Control Processes

A2 - Golovkina, A

A2 - Smirnov, N

PB - Springer Nature

T2 - Stability and Control Processes

Y2 - 5 October 2020 through 9 October 2020

ER -

ID: 103267907