Analysis of axisymmetrically-loaded filament wound composite cylindrical shells

Exact elasticity solutions for laminated composite cylindrical shells under axisymmetric loading are presented. The material of the shell is assumed to be cylindrically anisotropic. Based on the three-dimensional anisotropic elasticity, three coupled governing partial differential equations in terms of displacements are developed. The general expressions for the stresses and displacements by using the Frobenius method in the radial coordinate are discussed. The closed form solutions based on Flügge thin shell theory are also derived for comparison purposes. Detailed stress and displacement distributions for long laminated shells with layups [90/0/45/-45]s and [45/-45]s under periodic band loads are investigated.