This article is cited in 2 papers

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

V. V. Kalashnikov, M. I. Karyakin

Rostov State University, Rostov-on-Don, 344090

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.

Keywords: Pointing effect, semi-inverse method, second-order effects, Saint Venant’s principle.

UDC: 539.3

Received: 09.12.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:6, 879–885

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