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Second-order effects and Saint Venant’s principle in the torsion problem of a nonlinear elastic rod

Authors
  • Kalashnikov, V. V.1
  • Karyakin, M. I.1
  • 1 Rostov State University, Rostov-on-Don, 344090 , Rostov-on-Don
Type
Published Article
Journal
Journal of Applied Mechanics and Technical Physics
Publisher
Kluwer Academic Publishers-Consultants Bureau
Publication Date
Nov 01, 2006
Volume
47
Issue
6
Pages
879–885
Identifiers
DOI: 10.1007/s10808-006-0127-8
Source
Springer Nature
Keywords
License
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Abstract

The torsion problem of a circular nonlinear elastic rod loaded by end moments is considered. The solution constructed by the method of successive approximations taking into account second-order effects is compared with the solution obtained by a semi-inverse method. It is shown that the dead-loading assumption breaks the symmetry of the Cauchy stress tensor in a certain region. A refined formulation of Saint Venant’s principle is proposed for the problem of determining integral strain characteristics.

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