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 Issues2017-5pp.420-428

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Total articles in the database: 10482
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A.A. Artem'eva, V.G. Bazhenov, E.V. Nagornykh, D.A. Kazakov, and T.V. Kuzmicheva, "Modelling of the non-axisymmetric bulging of elastoplastic shells of revolution under combined axisymmetric loadings," J. Appl. Math. Mech. 81 (5), 420-428 (2017)
Year 2017 Volume 81 Issue 5 Pages 420-428
DOI 10.1016/j.jappmathmech.2018.03.010
Title Modelling of the non-axisymmetric bulging of elastoplastic shells of revolution under combined axisymmetric loadings
Author(s) A.A. Artem'eva (Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, aranan@mail.ru)
V.G. Bazhenov (Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, bazhenov@mech.unn.ru)
E.V. Nagornykh (Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, pavlyonkova@mech.unn.ru)
D.A. Kazakov (Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, kazakov@mech.unn.ru)
T.V. Kuzmicheva (Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod, Russia, kuzmicheva.tata@gmail.com)
Abstract A method for the numerical investigation of the non-linear unsteady non-axisymmetric bulging of elastoplastic shells of revolution under complex combined axisymmetric loadings and large subcritical strains is presented. The method enables the limit states and stability of the deformation processes of shells of revolution relative to axisymmetric and non-axisymmetric forms to be evaluated over a broad range of loading rates from quasistatic to dynamic. Its efficiency is substantiated by theoretical calculations and an experimental analysis of the stability of elastoplastic deformation processes of tubular metal samples during combined loadings by tension, internal pressure and torsion. The investigations performed show that preliminary loading alters the initial geometry of the shell and produces deformation anisotropy with great strengthening of the material in the direction of the principal axis of deformation. Torsion of an unloaded shell results in complex loading, which is especially apparent in the initial instant of application of the load and does not have an appreciable influence on the critical parameters of the non-axisymmetric loss of stability.
Received 17 March 2016
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