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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 2(27), Pages 188–191
DOI: https://doi.org/10.14498/vsgtu1060 (Mi vsgtu1060) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Short Communication
Mathematical Modelling

Obtaining exact analytical solutions of the thermoelasticity problem for multilayer cylindrical structures

V. A. Kudinov, A. V. Eremin, E. V. Kotova

Samara State Technical University, Samara, Russia
Full-text PDF (160 kB) Citations (6)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1060
Abstract: This article is told about obtaining exact analytical solutions of the thermoelasticity problem for multilayer construction and also contains its algorithm when elastic properties of each layers were constant. As an example was solver specific problem for double layer hollow cylinder with set load at the inner surface and rigidly fixed at the external surface. Thermal state of each layer was set as a function of spatial variable.
Keywords: thermoelasticity problem, exact analytical solution, multilayer hollow cylinder, thermostressed state.
Original article submitted 12/IV/2012
revision submitted – 18/V/2012
Bibliographic databases:
Document Type: Article
UDC: 517.958:539.3(4)
MSC: Primary 74F05; Secondary 74C05, 80A20
Language: Russian
Citation: V. A. Kudinov, A. V. Eremin, E. V. Kotova, “Obtaining exact analytical solutions of the thermoelasticity problem for multilayer cylindrical structures”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 188–191
Citation in format AMSBIB
\Bibitem{KudEreKot12}
\by V.~A.~Kudinov, A.~V.~Eremin, E.~V.~Kotova
\paper Obtaining exact analytical solutions of the thermoelasticity problem for multilayer cylindrical structures
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 2(27)
\pages 188--191
\mathnet{http://mi.mathnet.ru/vsgtu1060}
\crossref{https://doi.org/10.14498/vsgtu1060}
\zmath{https://zbmath.org/?q=an:1326.74043}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1060
  • https://www.mathnet.ru/eng/vsgtu/v127/p188
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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