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

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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.

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Authors and Affiliations

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

    K. A. Vatulyan & Yu. A. Ustinov

Authors
  1. K. A. Vatulyan
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  2. Yu. A. Ustinov
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Correspondence to K. A. Vatulyan.

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Translated from PrikladnayaMekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 1, pp. 125–133, January–February, 2010.

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Vatulyan, K.A., Ustinov, Y.A. Saint-venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems. J Appl Mech Tech Phy 51, 106–113 (2010). https://doi.org/10.1007/s10808-010-0017-y

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  • DOI: https://doi.org/10.1007/s10808-010-0017-y

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