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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 4, Pages 64–68
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-12 (Mi vmumm4558) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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Lagrange variational principle in the micropolar elasticity theory for non-isothermal processes

A. V. Romanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-4-12
Abstract: In this paper, a variational principle of Lagrange, the Ritz method and piecewise polynomial serendipity shape functions are used to obtain a stiffness matrix and a system of linear algebraic equations in the micropolar theory of elasticity for anisotropic, isotropic and centrally symmetric material in case of a non isothermal process.
Key words: micropolar continuum, Cosserat continuum, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix, non isothermal process.
Received: 23.03.2023
English version:
Moscow University Måchanics Bulletin, 2023, Volume 78, Issue 4, Pages 114–118
DOI: https://doi.org/10.3103/S0027133023040052
Bibliographic databases:
Document Type: Article
UDC: 539.3+531.53+532.23
Language: Russian
Citation: A. V. Romanov, “Lagrange variational principle in the micropolar elasticity theory for non-isothermal processes”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4, 64–68; Moscow University Måchanics Bulletin, 78:4 (2023), 114–118
Citation in format AMSBIB
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\by A.~V.~Romanov
\paper Lagrange variational principle in the micropolar elasticity theory for non-isothermal processes
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 4
\pages 64--68
\mathnet{http://mi.mathnet.ru/vmumm4558}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-4-12}
\elib{https://elibrary.ru/item.asp?id=54354444}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2023
\vol 78
\issue 4
\pages 114--118
\crossref{https://doi.org/10.3103/S0027133023040052}
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