This article is cited in 1 paper

Saint-Venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems

K. A. Vatulyan, Yu. A. Ustinov

South Federal University, Rostov-on-Don, 344006, Russia

Abstract: By methods of homogeneous solutions and the spectral theory of operators, the construction of solutions of the Saint-Venant problems of tension-torsion of a cylindrical tube with helical anisotropy is reduced to integration of boundary-value problems for ordinary differential equations with variable coefficients. The solutions are constructed by analytical and numerical methods. Elements of the stiffness matrix and the stress-strain state are analyzed, depending on the problem parameter.

Keywords: Saint-Venant problem, stiffness, helical anisotropy, sweep method.

UDC: 539.3

Received: 12.03.2008
Accepted: 27.02.2009

 English version: Journal of Applied Mechanics and Technical Physics, 2010, 51:1, 106–113

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