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

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-4pp.394-402

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A.A. Artem’eva, V.G. Bazhenov, D.A. Kazakov, A.I. Kibets, and Ye.V. Nagornykh, "Large deformations and limiting states of elastoplastic shells of revolution under combined complex loadings," J. Appl. Math. Mech. 79 (4), 394-402 (2015)
Year 2015 Volume 79 Issue 4 Pages 394-402
DOI 10.1016/j.jappmathmech.2016.01.010
Title Large deformations and limiting states of elastoplastic shells of revolution under combined complex loadings
Author(s) A.A. Artem’eva (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, aranan@mail.ru)
V.G. Bazhenov (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia)
D.A. Kazakov (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia)
A.I. Kibets (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia)
Ye.V. Nagornykh (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia)
Abstract A method for the numerical solution of non-linear unsteady problems of the axisymmetric elastoplastic deformation of shells of revolution taking account of buckling at large deformations is described. The method enables the numerical modelling of extended axisymmetric elastoplastic deformation processes to be carried out and the limiting states of shells of revolution to be estimated over a wide range of loading rates from quasistatic to dynamic. The effectiveness of the method is demonstrated by theoretical calculations and an experimental analysis of the stability of the elastoplastic process of the deformation of metal tube samples under combined tensile, internal pressure and torsional loads.
Received 10 August 2014
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