A two-stage optimization method aiming at the optimal design of shells
and plates made of laminated composites has been developed. It is bas
ed on a mixture of sensitivity analysis, optimality criteria and mathe
matical programming techniques. The design variables are the optimalit
y criteria and mathematical programming techniques. The design variabl
es are the macro-element thicknesses and the layers' angles. Weight mi
nimization with material efficiency maximization are the objectives wi
th constraints on stresses and displacements. Maximization of the mate
rial efficiency is performed at one level using the conjugated method
applied to the angles of the macro-element layers keeping the thicknes
ses constant. The other level is dedicated to weight reduction using o
ptimality criteria and using as variables the macro-element thicknesse
s with the angles of the macro-element layers constant.