Further comparison of elasticity and shell theory solutions.

Abstract

Abstract : The problem of an infinite circular cylindrical shell subjected to periodically spaced axisymmetric band loads is investigated using a Reissner-Naghdi higher-order shell theory. The generalized equilibrium equations, which include the effects of transverse normal stress and transverse shear deformation, were applied to the specific problem at hand. These equilibrium equations were successfully uncoupled, and an expression describing the transverse displacement of the median surface was obtained. The solution of this expression was then used to calculate the stress resultants, stresses, and displacements. A comparison of the resulting stresses and displacements with the exact elasticity solution and some lower-order shell theory solutions of the same problem was carried out for ratios of inner to outer shell radius equal to 0.7, 0.8, 0.87, 0.9, 0.93, and for a ratio of distance between band loads to outer shell diameter equal to 0.2. The ratio of band width to distance between band loads was also equal to 0.2. The Poisson's ratio used is equal to 0.3. (Author)