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 Issues2012-3pp.358-366

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R.I. Nepershin, "The plastic loss of stability of a thin-walled tube under axial compression," J. Appl. Math. Mech. 76 (3), 358-366 (2012)
Year 2012 Volume 76 Issue 3 Pages 358-366
Title The plastic loss of stability of a thin-walled tube under axial compression
Author(s) R.I. Nepershin (Moscow, Russia, nepershin_ri@rambler.ru)
Abstract A theoretical model of the plastic shaping of ring folds in the axial compression of a thin-walled tube with smooth plates after local loss of stability is presented. The initial stage of the shaping is calculated using membrane theory of a rigid-plastic envelope under the von Mises plasticity condition, taking into account the deformation strengthening and the change in the wall thickness. The final stage is calculated using moment theory with the finite curvature of the curvilinear parts of the folds. The calculated forms of the folds and the force-displacement dependences when there is loss of stability agree satisfactorily with experimental data.
Received 24 February 2010
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