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Buckling of an annular nanoplane under tensil point loading. / Bochkarev, Anatolii O.; Solovev, Anton S.

COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. ed. / Manolis Papadrakakis; Michalis Fragiadakis. National Technical University of Athens (NTUA), 2019. p. 3538-3546 (COMPDYN Proceedings; Vol. 2).

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

Harvard

Bochkarev, AO & Solovev, AS 2019, Buckling of an annular nanoplane under tensil point loading. in M Papadrakakis & M Fragiadakis (eds), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. COMPDYN Proceedings, vol. 2, National Technical University of Athens (NTUA), pp. 3538-3546, 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019, Hersonissos, Greece, 24/06/19.

APA

Bochkarev, A. O., & Solovev, A. S. (2019). Buckling of an annular nanoplane under tensil point loading. In M. Papadrakakis, & M. Fragiadakis (Eds.), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings (pp. 3538-3546). (COMPDYN Proceedings; Vol. 2). National Technical University of Athens (NTUA).

Vancouver

Bochkarev AO, Solovev AS. Buckling of an annular nanoplane under tensil point loading. In Papadrakakis M, Fragiadakis M, editors, COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. National Technical University of Athens (NTUA). 2019. p. 3538-3546. (COMPDYN Proceedings).

Author

Bochkarev, Anatolii O. ; Solovev, Anton S. / Buckling of an annular nanoplane under tensil point loading. COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. editor / Manolis Papadrakakis ; Michalis Fragiadakis. National Technical University of Athens (NTUA), 2019. pp. 3538-3546 (COMPDYN Proceedings).

BibTeX

@inproceedings{10634f08f80241b7a686af56875a7c32,
title = "Buckling of an annular nanoplane under tensil point loading",
abstract = "The classical nonlinear von K{\'a}rm{\'a}n theory is adapted for modeling the behavior of nanoplates with surface stresses taken into account according to the strain-consistent Gurtin-Murdoch model of the surface elasticity using the effective elastic moduli. This allows us to apply the known solutions and methods for macroplates to nanoplates. In particular, the problem of buckling an thin elastic annular plate stretched by two point loads has been solved by the authors early. In this paper, the same problem are solving for an annular plate having nanosize. In contrast to the previous studies, where the size effect under buckling of nanoplates was considered mainly in the case of a homogeneous stress field, here, the size effect is considered when a nanoplate is buckling under an inhomogeneous stress field with a singularity.",
keywords = "Buckling, Effective elastic moduli, Gurtin–Murdoch, Nanoplate, Surface stresses",
author = "Bochkarev, {Anatolii O.} and Solovev, {Anton S.}",
year = "2019",
month = nov,
day = "7",
language = "English",
series = "COMPDYN Proceedings",
publisher = "National Technical University of Athens (NTUA)",
pages = "3538--3546",
editor = "Manolis Papadrakakis and Michalis Fragiadakis",
booktitle = "COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings",
address = "Greece",
note = "7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 ; Conference date: 24-06-2019 Through 26-06-2019",
url = "https://2019.compdyn.org",

}

RIS

TY - GEN

T1 - Buckling of an annular nanoplane under tensil point loading

AU - Bochkarev, Anatolii O.

AU - Solovev, Anton S.

N1 - Conference code: 7th

PY - 2019/11/7

Y1 - 2019/11/7

N2 - The classical nonlinear von Kármán theory is adapted for modeling the behavior of nanoplates with surface stresses taken into account according to the strain-consistent Gurtin-Murdoch model of the surface elasticity using the effective elastic moduli. This allows us to apply the known solutions and methods for macroplates to nanoplates. In particular, the problem of buckling an thin elastic annular plate stretched by two point loads has been solved by the authors early. In this paper, the same problem are solving for an annular plate having nanosize. In contrast to the previous studies, where the size effect under buckling of nanoplates was considered mainly in the case of a homogeneous stress field, here, the size effect is considered when a nanoplate is buckling under an inhomogeneous stress field with a singularity.

AB - The classical nonlinear von Kármán theory is adapted for modeling the behavior of nanoplates with surface stresses taken into account according to the strain-consistent Gurtin-Murdoch model of the surface elasticity using the effective elastic moduli. This allows us to apply the known solutions and methods for macroplates to nanoplates. In particular, the problem of buckling an thin elastic annular plate stretched by two point loads has been solved by the authors early. In this paper, the same problem are solving for an annular plate having nanosize. In contrast to the previous studies, where the size effect under buckling of nanoplates was considered mainly in the case of a homogeneous stress field, here, the size effect is considered when a nanoplate is buckling under an inhomogeneous stress field with a singularity.

KW - Buckling

KW - Effective elastic moduli

KW - Gurtin–Murdoch

KW - Nanoplate

KW - Surface stresses

UR - http://www.scopus.com/inward/record.url?scp=85079056894&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85079056894

T3 - COMPDYN Proceedings

SP - 3538

EP - 3546

BT - COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings

A2 - Papadrakakis, Manolis

A2 - Fragiadakis, Michalis

PB - National Technical University of Athens (NTUA)

T2 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019

Y2 - 24 June 2019 through 26 June 2019

ER -

ID: 52066857