An efficient higher-order shell theory is obtained for symmetric lamin
ated composites. The in-plane displacement fields are obtained by supe
rimposing a globally cubic varying displacement field on a zig-zag lin
early varying one. For an orthogonal curvilinear coordinate system, eq
uilibrium equations and boundary conditions are derived using lines of
curvature coordinates. Cylindrical shell equations are obtained from
the general equilibrium equations. To evaluate the present shell model
ing, the analytical solution for a cylindrical bending problem is obta
ined. The present shell theory gives deformation and stresses which ar
e in good agreement with those of exact elasticity solutions.