On Volterra's sixth elementary distortion analyzed by Saint Venant's theory

Abstract

We consider the sixth elementary Volterra's distortion for a circular hollow, homogeneous, elastic, isotropic cylinder, to analyze the load acting on the bases as a Saint Venant external stress. We prove the specific load connected to the sixth distortion is equivalent (in Saint Venant's theory) to a right combined compressive and bending stress and to a right combined tensile and bending stress. We have applied our results to a material made up if steel to compare the obtained numerical results with the Volterra's predictions. We can see that the values calculated through the Saint Venant's theory are more strictly related to those calculated by Volterra when the cylinder thickness tends to zero.

[DOI: 10.1685/CSC09196] About DOI