Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 1, Pages 30–39 (Mi vmumm293)  
This article is cited in 13 scientific papers (total in 13 papers)

Mechanics

Construction of eigentensor columns in the linear micropolar theory of elasticity

M. U. Nikabadze

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (272 kB) Citations (13)
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Abstract: In the paper we study the internal structure of the tensor-block matrix of tensors of moduls of elasticity of micropolar theory. In particular, we consider the problem of finding the eigenvalues and eigentensor columns of the tensor-block matrix. We construct a complete orthonormal system of eigentensor columns of the tensor-block matrix. We present some definitions and theorems. Various representations of the specific energy of deformation and constitutive relations are given in new terms.
Key words: micropolar theory, tensor column, eigentensor column, tensor-block matrix, couple-stress tensor, complete orthonormal system of tensor columns of tensor-block matrix.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00181-a
12-01-00020-а
Received: 22.06.2012
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 1, Pages 1–9
DOI: https://doi.org/10.3103/S0027133014010014
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. U. Nikabadze, “Construction of eigentensor columns in the linear micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 30–39; Moscow University Mechanics Bulletin, 69:1 (2014), 1–9
Citation in format AMSBIB
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\by M.~U.~Nikabadze
\paper Construction of eigentensor columns in the linear micropolar theory of elasticity
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 1
\pages 30--39
\mathnet{http://mi.mathnet.ru/vmumm293}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 1
\pages 1--9
\crossref{https://doi.org/10.3103/S0027133014010014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896949238}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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