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 Issues2008-4pp.481-488

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N.M. Romanova and Yu.A. Ustinov, "The Saint-Venant problem of the bending of a cylinder with helical anisotropy," J. Appl. Math. Mech. 72 (4), 481-488 (2008)
Year 2008 Volume 72 Issue 4 Pages 481-488
Title The Saint-Venant problem of the bending of a cylinder with helical anisotropy
Author(s) N.M. Romanova (Rostov-on-Don, Russia, kuznet_n@mail.ru)
Yu.A. Ustinov (Rostov-on-Don, Russia, ustinov@mat.rsu.ru)
Abstract The Saint-Venant problems of pure bending and the bending of a cylinder with helical anisotropy by a transverse force are reduced to boundary-value problems for systems of ordinary differential equations with variable coefficients. The problems are solved by two methods – the small-parameter method and numerical methods. The behaviour of the stiffnesses and the stress-strain state is investigated as a function of the parameters of the problem.
Received 20 August 2007
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