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Compressive buckling of a rectangular nanoplate. / Бочкарёв, Анатолий Олегович.

In: AIP Conference Proceedings, Vol. 1959, 070007, 02.05.2018, p. 1-9.

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

Harvard

Бочкарёв, АО 2018, 'Compressive buckling of a rectangular nanoplate', AIP Conference Proceedings, vol. 1959, 070007, pp. 1-9. https://doi.org/10.1063/1.5034682

APA

Бочкарёв, А. О. (2018). Compressive buckling of a rectangular nanoplate. AIP Conference Proceedings, 1959, 1-9. [070007]. https://doi.org/10.1063/1.5034682

Vancouver

Бочкарёв АО. Compressive buckling of a rectangular nanoplate. AIP Conference Proceedings. 2018 May 2;1959:1-9. 070007. https://doi.org/10.1063/1.5034682

Author

Бочкарёв, Анатолий Олегович. / Compressive buckling of a rectangular nanoplate. In: AIP Conference Proceedings. 2018 ; Vol. 1959. pp. 1-9.

BibTeX

@article{6416a72a53e9419d8733e4bd394a33b7,
title = "Compressive buckling of a rectangular nanoplate",
abstract = "This paper considers the constitutive relations of the nanoplate theory with surface stresses taken into account according to the original or complete Gurtin-Murdoch (GM) model and according to the simplified strain-consistent GM model (which does not include any non-strain terms in the surface stress-strain relation). It is shown that the potential energy of a deformed nanoplate according to both GM models preserves the classical structure using the redefined elastic moduli (effective tangential and flexural elastic properties, which contain the characteristics of bulk phase and a surface). This allows to apply the known solutions and methods from macroplates to nanoplates. As example, it is shown that the critical load of the compressive buckling of a nanoplate according to the complete and strain-consistent GM models has the difference between two solutions no more than 1.5%.",
keywords = "Нанопластина",
author = "Бочкарёв, {Анатолий Олегович}",
note = "Funding Information: This research was supported by the Russian Foundation for Basic Research, grant No. 14-01-00260.",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034682",
language = "English",
volume = "1959",
pages = "1--9",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",

}

RIS

TY - JOUR

T1 - Compressive buckling of a rectangular nanoplate

AU - Бочкарёв, Анатолий Олегович

N1 - Funding Information: This research was supported by the Russian Foundation for Basic Research, grant No. 14-01-00260.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - This paper considers the constitutive relations of the nanoplate theory with surface stresses taken into account according to the original or complete Gurtin-Murdoch (GM) model and according to the simplified strain-consistent GM model (which does not include any non-strain terms in the surface stress-strain relation). It is shown that the potential energy of a deformed nanoplate according to both GM models preserves the classical structure using the redefined elastic moduli (effective tangential and flexural elastic properties, which contain the characteristics of bulk phase and a surface). This allows to apply the known solutions and methods from macroplates to nanoplates. As example, it is shown that the critical load of the compressive buckling of a nanoplate according to the complete and strain-consistent GM models has the difference between two solutions no more than 1.5%.

AB - This paper considers the constitutive relations of the nanoplate theory with surface stresses taken into account according to the original or complete Gurtin-Murdoch (GM) model and according to the simplified strain-consistent GM model (which does not include any non-strain terms in the surface stress-strain relation). It is shown that the potential energy of a deformed nanoplate according to both GM models preserves the classical structure using the redefined elastic moduli (effective tangential and flexural elastic properties, which contain the characteristics of bulk phase and a surface). This allows to apply the known solutions and methods from macroplates to nanoplates. As example, it is shown that the critical load of the compressive buckling of a nanoplate according to the complete and strain-consistent GM models has the difference between two solutions no more than 1.5%.

KW - Нанопластина

UR - http://www.scopus.com/inward/record.url?scp=85047176706&partnerID=8YFLogxK

U2 - 10.1063/1.5034682

DO - 10.1063/1.5034682

M3 - Article

VL - 1959

SP - 1

EP - 9

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

M1 - 070007

ER -

ID: 28219352