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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 1, Pages 125–133 (Mi pmtf1572)  
This article is cited in 1 scientific paper (total in 1 paper)

Saint-Venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems

K. A. Vatulyan, Yu. A. Ustinov

South Federal University, Rostov-on-Don, 344006, Russia
Full-text PDF (241 kB) Citations (1)
Abstract: By methods of homogeneous solutions and the spectral theory of operators, the construction of solutions of the Saint-Venant problems of tension-torsion of a cylindrical tube with helical anisotropy is reduced to integration of boundary-value problems for ordinary differential equations with variable coefficients. The solutions are constructed by analytical and numerical methods. Elements of the stiffness matrix and the stress-strain state are analyzed, depending on the problem parameter.
Keywords: Saint-Venant problem, stiffness, helical anisotropy, sweep method.
Received: 12.03.2008
Accepted: 27.02.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 1, Pages 106–113
DOI: https://doi.org/10.1007/s10808-010-0017-y
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: K. A. Vatulyan, Yu. A. Ustinov, “Saint-Venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010), 125–133; J. Appl. Mech. Tech. Phys., 51:1 (2010), 106–113
Citation in format AMSBIB
\Bibitem{VatUst10}
\by K.~A.~Vatulyan, Yu.~A.~Ustinov
\paper Saint-Venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 1
\pages 125--133
\mathnet{http://mi.mathnet.ru/pmtf1572}
\elib{https://elibrary.ru/item.asp?id=13026116}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 1
\pages 106--113
\crossref{https://doi.org/10.1007/s10808-010-0017-y}
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  • https://www.mathnet.ru/eng/pmtf/v51/i1/p125
    • This publication is cited in the following 1 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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