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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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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013, Issue 2(31), Pages 17–35 (Mi vsgtu1225)  

This article is cited in 2 scientific papers (total in 2 papers)

Mechanics of Solids

Application of methods of the perturbation theory to problem of equally-stressed reinfocing of bending metal-composite plates in conditions of steady-state creep

A. P. Yankovskii

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The problem of equally-stressed reinforcing of bending metal-composite plates in conditions of steady-state creep, is solved by the help of methods of the perturbation theory. The opportunity of existence of several alternative solutions of a considered problem which can be reliably determined using the developed algorithm is shown. Concrete projects are constructed for equally-stressed reinforcing doubly connected plates with different density of reinforcing on an internal contour.

Keywords: bending plates, steady-state creep, rational designing, equally-stressed reinforcing, small parameter, perturbation theory

Funding Agency Grant Number
Russian Foundation for Basic Research 11-08-00186


DOI: https://doi.org/10.14498/vsgtu1225

Full text: PDF file (371 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 519.376
MSC: 74K20, 74R20
Original article submitted 31/I/2013
revision submitted – 27/II/2013

Citation: A. P. Yankovskii, “Application of methods of the perturbation theory to problem of equally-stressed reinfocing of bending metal-composite plates in conditions of steady-state creep”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 17–35

Citation in format AMSBIB
\Bibitem{Yan13}
\by A.~P.~Yankovskii
\paper Application of methods of the perturbation theory to problem of equally-stressed reinfocing of bending metal-composite plates in conditions of steady-state creep
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 17--35
\mathnet{http://mi.mathnet.ru/vsgtu1225}
\crossref{https://doi.org/10.14498/vsgtu1225}
\elib{http://elibrary.ru/item.asp?id=20236337}


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  • http://mi.mathnet.ru/eng/vsgtu/v131/p17

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. P. Yankovskii, “Edinstvennost resheniya v malom zadachi ravnonapryazhennogo armirovaniya metallokompozitnykh plastin, rabotayuschikh v usloviyakh ustanovivsheisya polzuchesti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 4(37) (2014), 121–132  mathnet  crossref  zmath  elib
    2. A. P. Yankovskii, “Equal-Stressed Reinforcement of Metal-Composite Plates in Transverse Bending at Steady-State Creep with Account of Weakened Resistance to In-Plane Shears”, Mechanics of Composite Materials, 52:1 (2016), 1–16  crossref  isi  scopus
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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