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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 1, Pages 73–83 (Mi pmtf2340)  
This article is cited in 2 scientific papers (total in 2 papers)

Stress state of an elastic space with a toroidal-shaped cavity

O. M. Geintsa, Yu. I. Solov'evb

a Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Siberian State University of Transport Communications, Novosibirsk, 630049
Full-text PDF (282 kB) Citations (2)
Abstract: Solutions are obtained for the stress state problem for an elastic space with an internal toroidal-shaped cavity that can be expanded in a trigonometric series in the angle in cylindrical coordinates. Displacements and stresses are specified on the boundary. An analytic solution of the problem is found using generalized analytic functions. Stresses and displacements of points in the elastic space are calculated.
Keywords: elastic space, toroidal-shaped cavity, generalized analytic functions.
Received: 05.05.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 1, Pages 60–68
DOI: https://doi.org/10.1023/B:JAMT.0000009175.82556.95
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: O. M. Geints, Yu. I. Solov'ev, “Stress state of an elastic space with a toroidal-shaped cavity”, Prikl. Mekh. Tekh. Fiz., 45:1 (2004), 73–83; J. Appl. Mech. Tech. Phys., 45:1 (2004), 60–68
Citation in format AMSBIB
\Bibitem{GeiSol04}
\by O.~M.~Geints, Yu.~I.~Solov'ev
\paper Stress state of an elastic space with a toroidal-shaped cavity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 1
\pages 73--83
\mathnet{http://mi.mathnet.ru/pmtf2340}
\elib{https://elibrary.ru/item.asp?id=17249178}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 1
\pages 60--68
\crossref{https://doi.org/10.1023/B:JAMT.0000009175.82556.95}
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  • https://www.mathnet.ru/eng/pmtf/v45/i1/p73
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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