Refined Theories for Nonhomogeneous Anisotropic Cylindrical Shells: Part II-Aplication

The application of asymptotic shell theories is demonstrated for the problem of the clamped-free layered, cylindrical shell under internal pressure. In particular, the results of a uniformly valid are compared with those of a specialized refined theory. It is shown that in order to obtain the individual stress gradients for any manner of layering away from the edge, a uniformly valid theory incorporating the effects of all terms included in the specialized first approximation theories is needed. This theory accounts for the presence of all curvatures, even in axisymmetric problems, as likely they should be for anisotropic materials. In contrast, in the specialized theory, some of the curvatures are zero either as a result of the formulation or because of the axisymmetric behavior assumption. The uniformly vaild theory, however, becomes less accurate as the shell thickness increases. One must then rely, as is shown, on a thickness correction theory.