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, 2012, Number 1, Pages 63–66 (Mi vmumm468)  
This article is cited in 5 scientific papers (total in 5 papers)

Short notes

Compatibility conditions and equations of motion in the linear micropolar theory of elasticity

M. U. Nikabadze

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (212 kB) Citations (5)
References:
PDF
HTML
Abstract: The compatibility conditions in three-dimensional and two-dimensional linear micropolar elasticity theories in the distinct from forms spread in the scientific literature and analog of the formula of Cesaro are reduced. Besides formulas for definition of an antisymmetric part of strain tensor (stress tensor) through symmetric parts of strain tensor and bend-torsion tensor (stress tensor and couple-stress tensor) and an antisymmetric part of a bend-torsion tensor (couple-stress tensor) through an symmetric part of a bend-torsion tensor (couple-stress tensor) and also the integro-differential equations of motion of the micropolar theory elasticities concerning symmetric parts of stress tensor and couple-stress tensor are received.
Key words: micropolar theory, compatibility conditions, strain tensor, bend-torsion tensor, stress tensor, couple-stress tensor.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-00231-a
08-01-00353-а
Received: 30.06.2010
English version:
Moscow University Mechanics Bulletin, 2012, Volume 67, Issue 1, Pages 18–22
DOI: https://doi.org/10.3103/S0027133012010049
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. U. Nikabadze, “Compatibility conditions and equations of motion in the linear micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 1, 63–66; Moscow University Mechanics Bulletin, 67:1 (2012), 18–22
Citation in format AMSBIB
\Bibitem{Nik12}
\by M.~U.~Nikabadze
\paper Compatibility conditions and equations of motion in the linear micropolar theory of elasticity
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 1
\pages 63--66
\mathnet{http://mi.mathnet.ru/vmumm468}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2984722}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2012
\vol 67
\issue 1
\pages 18--22
\crossref{https://doi.org/10.3103/S0027133012010049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84858630819}
Linking options:
  • https://www.mathnet.ru/eng/vmumm468
  • https://www.mathnet.ru/eng/vmumm/y2012/i1/p63
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024