Geodesic
Elasto-plastic bending of a~beam
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 218-223.

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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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Sergey I. Senashov; Olga N. Cherepanova; Alexandr V. Kondrin. Elasto-plastic bending of a~beam. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 218-223. http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a8/

[1] B. D. Anin, G. P. Cherepanov, Elastic-plastic problem, Nauka, Novosibirsk, 1983 (in Russion)

[2] S. I. Senashov, O. N. Cherepanova, “New classes of solutions of minimal surfaces”, Journal of Siberian Federal University. Mathematics Physics, 3:2 (2010), 248–255

[3] S. I. Senashov, O. N. Cherepanova, A. V. Kondrin, “On elastoplastic torsion rod”, Vestnik SibGAU, 49:3 (2013), 100–103 (in Russion)