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

摘要

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