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J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 2, Pages 218–223 (Mi jsfu364)  

This article is cited in 4 scientific papers (total in 4 papers)

Elasto-plastic bending of a beam

Sergey I. Senashova, Olga N. Cherepanovab, Alexandr V. Kondrina

a Siberian State Aerospace University, Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660014 Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia

Abstract: Special type of conservation laws for the equations which describe the bending of a beam is proposed in this paper. These laws are used to determine the elastic-plastic boundary.

Keywords: symmetries, conservation laws, cross-section, boundary conditions, piecewise-smooth contours, elasto-plastic boundary.

Full text: PDF file (143 kB)
References: PDF file   HTML file
UDC: 539.374
Received: 15.01.2014
Received in revised form: 10.02.2014
Accepted: 20.02.2014
Language:

Citation: Sergey I. Senashov, Olga N. Cherepanova, Alexandr V. Kondrin, “Elasto-plastic bending of a beam”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 218–223

Citation in format AMSBIB
\Bibitem{SenCheKon14}
\by Sergey~I.~Senashov, Olga~N.~Cherepanova, Alexandr~V.~Kondrin
\paper Elasto-plastic bending of a~beam
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 2
\pages 218--223
\mathnet{http://mi.mathnet.ru/jsfu364}


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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. Sergei I. Senashov, Irina L. Savostyanova, Olga N. Cherepanova, “Solution of boundary value problems of plasticity with the use of conservation laws”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 356–363  mathnet  crossref
    2. S. I. Senashov, O. N. Cherepanova, I. L. Savostyanova, “Elastoplastic Bending of the Console With Transverse Force”, J. Sib. Fed. Univ.-Math. Phys., 12:5 (2019), 637–643  mathnet  crossref  mathscinet  isi  scopus
    3. S. Senashov, I. Savostyanova, “About the limit state of deformable bodies”, 21St International Scientific Conference Reshetnev Readings-2017, IOP Conference Series-Materials Science and Engineering, 467, IOP Publishing Ltd, 2019, 012006  crossref  isi  scopus
    4. S. I. Senashov, O. V. Gomonova, “Construction of elastoplastic boundary in problem of tension of a plate weakened by holes”, Int. J. Non-Linear Mech., 108 (2019), 7–10  crossref  isi  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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