Bending of filament wound composite laminated cylindrical shells

Abstract

This paper presents a rigorous elasticity solution for filament wound composite laminated cylindrical shells subjected to out-of-plane bending. The material of the shell is assumed to be cylindrically anisotropic. Based on the theory of cylindrically anisotropic elasticity, coupled partial differential governing equations are developed using Lekhnitskii's stress functions. Homogeneous solutions are obtained using separation of variables and polynomial forms are used for particular solutions. To illustrate the fundamental nature of the problem, an example of off-axis composite shells is presented. Complex three-dimensional stress states, large stress gradients through the thickness and strong effect of fiber orientations are reported. Detailed stress distributions of two laminated shells [ 45 −45 ] s , [ 45 −45 ] are examined.