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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 1, Pages 65–69
DOI: https://doi.org/10.55959/vmumm4590 (Mi vmumm4590) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Application of the reduced and selective integration method in micro-polar elasticity problems

A. V. Romanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
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DOI: https://doi.org/10.55959/vmumm4590
Abstract: In this paper, a variational principle of Lagrange, the Ritz method and piecewise polynomial shape functions of brick family “linear” element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic and centrally symmetric material of the micropolar theory of elasticity.
Key words: micropolar continuum, Cosserat continuum, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix, incompressible elasticity, reduced and selective integration, locking effect, spurious zero-energy modes.
Received: 17.05.2023
English version:
Moscow University Måchanics Bulletin, 2024, Volume 79, Issue 1, Pages 1–5
DOI: https://doi.org/10.3103/S002713302470002X
Bibliographic databases:
Document Type: Article
UDC: 531.6+539.2+539.3+519.6
Language: Russian
Citation: A. V. Romanov, “Application of the reduced and selective integration method in micro-polar elasticity problems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 65–69; Moscow University Måchanics Bulletin, 79:1 (2024), 1–5
Citation in format AMSBIB
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\by A.~V.~Romanov
\paper Application of the reduced and selective integration method in micro-polar elasticity problems
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 1
\pages 65--69
\mathnet{http://mi.mathnet.ru/vmumm4590}
\crossref{https://doi.org/10.55959/vmumm4590}
\elib{https://elibrary.ru/item.asp?id=62487653}
\transl
\jour Moscow University Måchanics Bulletin
\yr 2024
\vol 79
\issue 1
\pages 1--5
\crossref{https://doi.org/10.3103/S002713302470002X}
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