Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 6, Pages 45–50 (Mi vmumm363)  
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics

Stress concentration in elastic bodies with multiple concentrators

V. I. Gorbachev, R. R. Gadelev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (473 kB) Citations (3)
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Abstract: The stress concentration is considered in the case of two and more elastic concentrators in an elastic body. A single concentrator, in the absence of the others, creates its stress field calculated using an external field by means of the concentration tensor-operator. The stress field from several concentrators is replaced by the interaction of the stress fields of each of the concentrators. The tensor theory of stress concentration from several concentrators of various nature, approximately featuring the interaction of concentrators, is studied. An approximate analytical expression for the stress concentration tensor is found in the plane with two circular holes and is compared with known solutions.
Key words: elasticity, stress concentration, concentration tensor.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00020а
Received: 29.05.2013
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 6, Pages 127–132
DOI: https://doi.org/10.3103/S0027133014060016
Bibliographic databases:
Document Type: Article
UDC: 539.219.2
Language: Russian
Citation: V. I. Gorbachev, R. R. Gadelev, “Stress concentration in elastic bodies with multiple concentrators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6, 45–50; Moscow University Mechanics Bulletin, 69:6 (2014), 127–132
Citation in format AMSBIB
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\by V.~I.~Gorbachev, R.~R.~Gadelev
\paper Stress concentration in elastic bodies with multiple concentrators
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 6
\pages 45--50
\mathnet{http://mi.mathnet.ru/vmumm363}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 6
\pages 127--132
\crossref{https://doi.org/10.3103/S0027133014060016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920410136}
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