Buckling of an annular nanoplane under tensil point loading

Anatolii O. Bochkarev, Anton S. Solovev

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationCOMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis
PublisherNational Technical University of Athens (NTUA)
Pages3538-3546
Number of pages9
ISBN (Electronic)9786188284470
StatePublished - 7 Nov 2019
Event7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece, Hersonissos, Greece
Duration: 24 Jun 201926 Jun 2019
Conference number: 7th
https://2019.compdyn.org

Publication series

NameCOMPDYN Proceedings
Volume2
ISSN (Print)2623-3347

Conference

Conference7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Abbreviated title COMPDYN 2019
Country/TerritoryGreece
CityHersonissos
Period24/06/1926/06/19
Internet address

Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics
  • Civil and Structural Engineering

Keywords

  • Buckling
  • Effective elastic moduli
  • Gurtin–Murdoch
  • Nanoplate
  • Surface stresses

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