Buckling of an annular nanoplate stretched by point loads

A. O. Bochkarev, A. S. Solovev

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

Выдержка

The introduction of effective elastic moduli allows us to apply the classical nonlinear von Kármán theory for modeling the behavior of nanoplates with surface stresses taken into account according to the Gurtin-Murdoch model. In particular, this allows us to apply the known solutions and methods for macroplates to nanoplates. So, earlier the authors solved the problem of buckling an thin elastic annular plate stretched by two point loads. In this paper, we address buckling this annular plate having nanosize. In previous studies, the manifestation of the size effect under buckling of nanoplates was shown 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.

Язык оригиналаанглийский
Название основной публикацииInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
РедакторыT.E. Simos, Ch. Tsitouras
ИздательAmerican Institute of Physics
ISBN (электронное издание)9780735418547
DOI
СостояниеОпубликовано - 24 июл 2019
СобытиеInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Греция
Продолжительность: 13 сен 201818 сен 2018

Серия публикаций

НазваниеAIP Conference Proceedings
Том2116
ISSN (печатное издание)0094-243X
ISSN (электронное издание)1551-7616

Конференция

КонференцияInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
СтранаГреция
ГородRhodes
Период13/09/1818/09/18

Отпечаток

buckling
annular plates
size effect
modulus of elasticity
stress field
stress distribution
elastic modulus
methodology
modeling

Предметные области Scopus

  • Экология, эволюция поведение и систематика
  • Экология
  • Прикладная ботаника
  • Физика и астрономия (все)
  • Природа и охрана ландшафта

Цитировать

Bochkarev, A. O., & Solovev, A. S. (2019). Buckling of an annular nanoplate stretched by point loads. В T. E. Simos, & C. Tsitouras (Ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 [290004] (AIP Conference Proceedings; Том 2116). American Institute of Physics. https://doi.org/10.1063/1.5114296
Bochkarev, A. O. ; Solovev, A. S. / Buckling of an annular nanoplate stretched by point loads. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. редактор / T.E. Simos ; Ch. Tsitouras. American Institute of Physics, 2019. (AIP Conference Proceedings).
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Bochkarev, AO & Solovev, AS 2019, Buckling of an annular nanoplate stretched by point loads. в TE Simos & C Tsitouras (ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018., 290004, AIP Conference Proceedings, том. 2116, American Institute of Physics, Rhodes, Греция, 13/09/18. https://doi.org/10.1063/1.5114296

Buckling of an annular nanoplate stretched by point loads. / Bochkarev, A. O.; Solovev, A. S.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ред. / T.E. Simos; Ch. Tsitouras. American Institute of Physics, 2019. 290004 (AIP Conference Proceedings; Том 2116).

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференции

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AB - The introduction of effective elastic moduli allows us to apply the classical nonlinear von Kármán theory for modeling the behavior of nanoplates with surface stresses taken into account according to the Gurtin-Murdoch model. In particular, this allows us to apply the known solutions and methods for macroplates to nanoplates. So, earlier the authors solved the problem of buckling an thin elastic annular plate stretched by two point loads. In this paper, we address buckling this annular plate having nanosize. In previous studies, the manifestation of the size effect under buckling of nanoplates was shown 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.

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Bochkarev AO, Solovev AS. Buckling of an annular nanoplate stretched by point loads. В Simos TE, Tsitouras C, редакторы, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. American Institute of Physics. 2019. 290004. (AIP Conference Proceedings). https://doi.org/10.1063/1.5114296