Closed-form solutions based on a general homogenization composite shell model are obtained for the effective stiffness moduli of the high-stiffness fiber-reinforced angle-ply composite shell. The design problem for the fiber-reinforced shell having the required set of effective stiffnesses is formulated and solved. The set of prescribed stiffnesses for which the design problem is solvable is described, and the effective method of the design parameters calculation based on convex analysis is developed. The minimum number of reinforcing layers required for the design of the fiber-reinforced angleply shell with the prescribed stiffnesses is determined. The solution of design problem is generalized on account of minimization of the fiber volume content.

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