Analysis of a Thick Hollow Cylinder with Reinforcing Layers

摘要

The three principal stresses and strains are computed for a thick orthotropic hollow tube under internal pressure, using the 'bulk' properties of the material. Consideration is given to the relations between the bulk properties and the properties of an individual reinforcing layer placed at an angle to the longitudinal axis of the tube. It is shown that when direct stresses are applied to the tube, there must be equal alternating plus and minus internal shear stresses from one reinforcing layer to another. Although these internal stresses are self-equilibrating when taken over the entire tube, the material of the tube must have sufficient strength in shear to be able to withstand these internal stresses. Direct stresses may be applied to the orthotropic tube by other means than by internal pressure. Some of these means are considered: by temperature difference between inside and outside, by bending of the tube during handling, and by acceleration. Any of the direct stresses generated by these means will give rise to internal shear stresses. (Author)