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 J. Sib. Fed. Univ. Math. Phys., 2019, Volume 12, Issue 5, Pages 637–643 (Mi jsfu796)

Elastoplastic bending of the console with transverse force

Sergei I. Senashova, Irina L. Savostyanovaa, Olga N. Cherepanovab

a Reshetnev Siberian State University of Science and Technology, Krasnoyarskiy Rabochiy, 31, Krasnoyarsk, 660037, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: In the article an elastoplastic boundary for the console being bent with transverse force when the point of force is not situated in the centroid of transverse section was built with the use of the conservation laws. In this case bending moments and torques appear of the console. The case when the point of force is situated in the centroid of transverse section is considered in the previous works of the authors. In the work an infinite system of conservation laws has been built that allows us to reduce the problem of calculating elastoplastic boundary to a few quadratures, at the outer contour of transverse section. At that the contour can be random piecewise smooth. It is assumed that the lateral surface of the console is free from strains and is in its plastic condition.

Keywords: conservation laws, elastoplastic bending.

DOI: https://doi.org/10.17516/1997-1397-2019-12-5-637-643

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UDC: 539.374
Accepted: 20.07.2019
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Citation: Sergei I. Senashov, Irina L. Savostyanova, Olga N. Cherepanova, “Elastoplastic bending of the console with transverse force”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 637–643

Citation in format AMSBIB
\Bibitem{SenSavChe19} \by Sergei~I.~Senashov, Irina~L.~Savostyanova, Olga~N.~Cherepanova \paper Elastoplastic bending of the console with transverse force \jour J. Sib. Fed. Univ. Math. Phys. \yr 2019 \vol 12 \issue 5 \pages 637--643 \mathnet{http://mi.mathnet.ru/jsfu796} \crossref{https://doi.org/10.17516/1997-1397-2019-12-5-637-643} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000501589200013}