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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.
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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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http://mi.mathnet.ru/eng/jsfu364 http://mi.mathnet.ru/eng/jsfu/v7/i2/p218
Citing articles on Google Scholar:
Russian citations,
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Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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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
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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
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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
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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
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