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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, 2013, Issue 1(30), Pages 215–221
DOI: https://doi.org/10.14498/vsgtu1128 (Mi vsgtu1128) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Mechanics and Classical Field Theory

Analytical solutions of problems of thermoelasticity for multilayered bodies with variable properties

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

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (172 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/vsgtu1128
Abstract: The technics for the construction of approximate analytical solutions for the quasistatic problems of thermoelasticity (plane-stressed state, plane deformation) for the multilayered bodies with variable within limits of each layer physical properties of medium. The recursive method is used for the construction of systems of coordinate functions, satisfying the boundary matching conditions, given as the equality of radial (normal) stresses and displacements in the layer-contact points.
Keywords: multilayer constructions, analytical solution, thermoelasticity problem, environmental variable physical properties, system of coordinate functions, Bubnov–Galyorkin orthogonal method.
Original article submitted 29/X/2012
revision submitted – 01/II/2013
Bibliographic databases:
Document Type: Article
UDC: 517.958:539.3(4)
MSC: Primary 74F05; Secondary 74C05, 80A20
Language: Russian
Citation: V. A. Kudinov, A. E. Kuzneysova, A. V. Eremin, E. V. Kotova, “Analytical solutions of problems of thermoelasticity for multilayered bodies with variable properties”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 215–221
Citation in format AMSBIB
\Bibitem{KudKuzEre13}
\by V.~A.~Kudinov, A.~E.~Kuzneysova, A.~V.~Eremin, E.~V.~Kotova
\paper Analytical solutions of problems of thermoelasticity for multilayered bodies with variable properties
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 215--221
\mathnet{http://mi.mathnet.ru/vsgtu1128}
\crossref{https://doi.org/10.14498/vsgtu1128}
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  • https://www.mathnet.ru/eng/vsgtu/v130/p215
    • 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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    Full-text PDF :258
    References:59
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