Loading [MathJax]/jax/output/SVG/config.js
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 4, Pages 52–57
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-4-7
(Mi vmumm4619)
 

Mechanics

The polynomials of mixed degree in problems of micropolar theory of elasticity

A. V. Romanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: In this paper, a variational principle of Lagrange, the Ritz method with generalized reduced and selective integration for mixed piecewise polynomial functions are used to obtain a stiffness matrix and a system of linear algebraic equations for micropolar theory of elasticity. This approach is implemented for anisotropic, isotropic and centrally symmetric material in case of non isothermal process. The cube problem is considered. The performance for finite element with mixed piecewise polynomial functions is exposed.
Key words: micropolar continuum, Cosserat continuum, reduced and selective integration, theory of asymmetric elasticity, variational principle, rotation gradient tensor, couple stress tensor, finite element method, stiffness matrix, mixed polynomial functions, cube problem.
Received: 14.06.2023
English version:
Moscow University Mеchanics Bulletin, 2024, Volume 79, Issue 4, Pages 130–136
DOI: https://doi.org/10.3103/S0027133024700171
Bibliographic databases:
Document Type: Article
UDC: 531.6+539.3+519.6
Language: Russian
Citation: A. V. Romanov, “The polynomials of mixed degree in problems of micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 4, 52–57; Moscow University Mеchanics Bulletin, 79:4 (2024), 130–136
Citation in format AMSBIB
\Bibitem{Rom24}
\by A.~V.~Romanov
\paper The polynomials of mixed degree in problems of micropolar theory of elasticity
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 4
\pages 52--57
\mathnet{http://mi.mathnet.ru/vmumm4619}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-4-7}
\elib{https://elibrary.ru/item.asp?id=68520580}
\transl
\jour Moscow University Mеchanics Bulletin
\yr 2024
\vol 79
\issue 4
\pages 130--136
\crossref{https://doi.org/10.3103/S0027133024700171}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4619
  • https://www.mathnet.ru/eng/vmumm/y2024/i4/p52
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:56
    Full-text PDF :12
    References:21
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025