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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 3, Pages 356–363
DOI: https://doi.org/10.17516/1997-1397-2018-11-3-356-363 (Mi jsfu678) 		 
Solution of boundary value problems of plasticity with the use of conservation laws

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

a Reshetnev Siberian State University of Science and Technology, Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660037, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-3-356-363
Abstract: In the paper conservation laws of a special form for systems of first-order differential equations depending on two dependent and independent variables are looked at. It is shown how the conservation laws can be used to solve hyperbolic-type and elliptic-type systems of equations that are come across in the theory of plasticity. Examples of an effective use of the described technique are given. With the use of the conservation laws was found the elastoplastic boundary in a problem of stress-strain state of a plate with free-form holes.
Keywords: conservation laws, elastic-plastic boundary.
Received: 20.11.2017
Received in revised form: 26.01.2018
Accepted: 20.03.2018
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: English
Citation: Sergei I. Senashov, Irina L. Savostyanova, Olga N. Cherepanova, “Solution of boundary value problems of plasticity with the use of conservation laws”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 356–363
Citation in format AMSBIB
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\by Sergei~I.~Senashov, Irina~L.~Savostyanova, Olga~N.~Cherepanova
\paper Solution of boundary value problems of plasticity with the use of conservation laws
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 356--363
\mathnet{http://mi.mathnet.ru/jsfu678}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-356-363}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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