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An Application of Saint Venant's Theory to Volterra's Distortions

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  • Ivana Bochicchio
  • Ettore Laserra
  • Massimo Pecoraro

Abstract

This paper deals with the analysis of the sixth elementary Volterra's distortion for a circular hollow, homogeneous, elastic, isotropic cylinder. More precisely, the specific load connected to the sixth distortion is proved to be equivalent (in Saint Venant's theory) to a right combined compressive and bending stress and to a right combined tensile and bending stress. Our results have been applied to a material made up of steel to compare the obtained numerical results with Volterra's predictions: the values calculated through Saint Venant's theory are more strictly related to those calculated by Volterra when the cylinder thickness tends to zero.

Suggested Citation

  • Ivana Bochicchio & Ettore Laserra & Massimo Pecoraro, 2011. "An Application of Saint Venant's Theory to Volterra's Distortions," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-18, December.
    • Handle: RePEc:hin:jnlmpe:783094
    DOI: 10.1155/2011/783094
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