Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 783094, 18 pages
doi:10.1155/2011/783094
Research Article

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

1Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte Don Melillo, I-84084 Fisciano (SA), Italy
2Dipartimento di Ingegneria dell'Informazione e Matematica Applicata, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

Received 18 November 2010; Accepted 4 December 2010

Academic Editor: Ezzat G. Bakhoum

Copyright © 2011 Ivana Bochicchio et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.