Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
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IssuesArchive of Issues2008-2pp.226-232

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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V.G. Bazhenov, S.V. Zefirov, L.N. Kramarev and Ye.V. Pavlenkova, "Modelling of the deformation processes and the localization of plastic deformations in the torsion-tension of solids of revolution," J. Appl. Math. Mech. 72 (2), 226-232 (2008)
Year 2008 Volume 72 Issue 2 Pages 226-232
Title Modelling of the deformation processes and the localization of plastic deformations in the torsion-tension of solids of revolution
Author(s) V.G. Bazhenov (Nizhnii Novgorod, Russia,
S.V. Zefirov (Nizhnii Novgorod, Russia)
L.N. Kramarev (Nizhnii Novgorod, Russia)
Ye.V. Pavlenkova (Nizhnii Novgorod, Russia)
Abstract Generalized two-dimensional problems of the torsion of elastoplastic solids of revolution of arbitrary shape for large deformations under non-uniform stress-strain conditions are formulated and a method for their numerical solution is proposed. The use of this method to construct strain diagrams of materials based on experiments on the torsion of axisysmmetric samples of variable thickness until fracture occurs is described. Experimental and numerical investigations of processes of elastoplastic deformation, loss of stability and supercritical behaviour of solid cylindrical steel samples of variable thickness under conditions of monotonic kinematic loading with a torque, a tension and a combined load are presented. The mutual influence of torsion and tension on the deformation process and the limit states is estimated, and the universality (the independence of the form of the stress-strain state) of the "stress intensity - Odqvist parameter" diagram for steel for large deformations is proved.
Received 7 December 2006
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