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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 2, Pages 48–58
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-2-7 (Mi vmumm4599) 		 
Mechanics

Moment-membrane theory of large deflection of elastic shells as a continuum model of deformed behavior of two-dimensional nanomaterials

S. O. Sarkissian

Shirak State University
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-2-7
Abstract: In this paper, based on the assumption on the smallness of deformations, flexural-torsional characteristics and angles of rotation of the shell elements as well as on the assumption on shell's shallowness, with the help of the three-dimensional geometrically nonlinear moment theory of elasticity and by preserving only those nonlinear terms that come from normal displacement (deflection) and its derivatives, a geometrically nonlinear moment-membrane theory of elastic shells is constructed, which is interpreted as a continuum theory of the deformation behavior of flexible two-dimensional nanomaterials (in particular, for carbon nanotubes and graphene).
Key words: flexible shell, moment membrane theory, two-dimensional nanomaterials, continuum theory.
Funding agency Grant number
Ministry of Education, Science, Culture and Sports RA, Science Committee 21T-2C093
The work is supported by the Committee on Higher Education and Science of the Republic of Armenia, project no. 21T-2C093.
Received: 21.11.2023
English version:
Moscow University Måchanics Bulletin, 2024, Volume 79, Issue 2, Pages 43–55
DOI: https://doi.org/10.3103/S0027133024700079
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. O. Sarkissian, “Moment-membrane theory of large deflection of elastic shells as a continuum model of deformed behavior of two-dimensional nanomaterials”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 2, 48–58; Moscow University Måchanics Bulletin, 79:2 (2024), 43–55
Citation in format AMSBIB
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\by S.~O.~Sarkissian
\paper Moment-membrane theory of large deflection of elastic shells as a continuum model of deformed behavior of two-dimensional nanomaterials
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 2
\pages 48--58
\mathnet{http://mi.mathnet.ru/vmumm4599}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-2-7}
\elib{https://elibrary.ru/item.asp?id=65597374 }
\transl
\jour Moscow University Måchanics Bulletin
\yr 2024
\vol 79
\issue 2
\pages 43--55
\crossref{https://doi.org/10.3103/S0027133024700079}
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