Analytical Solution for Bending of Coaxial Orthotropic Cylinders

Abstract

A general analytical solution is obtained for the stresses and displacements of an elastic body consisting of an assembly of coaxial hollow circular cylinders made of orthotropic material, with or without a core, and subjected to bending, tensile and torsion loads. Two types of conditions are considered at the interfaces between cylinders: no slip and no friction. A numerical application is used to illustrate the theoretical results. Results show that there is no coupling between bending and tension‐torsion and that there is no deviation in the bending curvature. It was finally found that some warping of the cross section develops under bending, meaning that the Bernoulli‐Euler hypothesis would not strictly apply in the case of orthotropic cylinders.