Geodesic
Elastoplastic bending of the console with transverse force
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 637-643

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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. 
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     author = {Sergei I. Senashov and Irina L. Savostyanova and Olga N. Cherepanova},
     title = {Elastoplastic bending of the console with transverse force},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {637--643},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a12/}
}
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Sergei I. Senashov; Irina L. Savostyanova; Olga N. Cherepanova. Elastoplastic bending of the console with transverse force. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 637-643. http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a12/