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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 2, Pages 138–147 (Mi pmtf1206)  

This article is cited in 5 scientific papers (total in 5 papers)

Cosserat spectrum of the first boundary-value problem of elasticity

S. D. Algazin

Ishlinskii Institute for Problem in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Full-text PDF (225 kB) Citations (5)
Abstract: The three-dimensional problem of calculating the Cosserat spectrum of the first boundary-value problem of elasticity for a body of revolution is considered. Using grids containing 900 and 3600 nodes, it is shown that the sequence of eigenvalues for a sphere found by E. Cosserat and F. Cosserat does not describe the entire range of eigenvalues.
Keywords: Cosserat spectrum, eigenvalue problem, numerical algorithm without saturation.
Received: 26.06.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2013, Volume 54, Issue 2, Pages 287–294
DOI: https://doi.org/10.1134/S0021894413020144
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: S. D. Algazin, “Cosserat spectrum of the first boundary-value problem of elasticity”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 138–147; J. Appl. Mech. Tech. Phys., 54:2 (2013), 287–294
Citation in format AMSBIB
\Bibitem{Alg13}
\by S.~D.~Algazin
\paper Cosserat spectrum of the first boundary-value problem of elasticity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 2
\pages 138--147
\mathnet{http://mi.mathnet.ru/pmtf1206}
\elib{https://elibrary.ru/item.asp?id=20653880}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 2
\pages 287--294
\crossref{https://doi.org/10.1134/S0021894413020144}
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  • https://www.mathnet.ru/eng/pmtf/v54/i2/p138
  • 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
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