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

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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. Senashov^a, Olga N. Cherepanova^b, Alexandr V. Kondrin^a

^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.

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UDC: 539.374
Received: 15.01.2014
Received in revised form: 10.02.2014
Accepted: 20.02.2014
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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:

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
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
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
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

Журнал Сибирского федерального университета. Серия "Математика и физика"

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