Design of fiber reinforced composite laminates and discussion on feasible region of lamination parameters

摘要

The relationship of parameters in material property need to be known in simultaneous design optimization of material and structure, thus the obtained materials can be explained in physics. The relations of stiffness properties in fiber reinforced composite laminates can be defined by 12 lamination parameters of in-plane, coupling and out-of-plane stiffness. At present, the obtained feasible region of 12 lamination parameters is necessary condition but not sufficient for laminate materials which can be realized in physics. In this paper, the change of feasible region of 12 lamination parameters with the increase of the number of plies was studied firstly under the assumption that the laminate thickness is fixed, the angles and thicknesses of ply can be changed arbitrary. We found that the feasible region is essentially unchanged when the number of plies is more than 6 plies. Then by considering least(6 plies) ply angles and ply thickness and fiber volume fraction in micro configuration as design variables, a topology optimization based method is proposed to minimize compliance of laminates under the condition of given fiber volume ratio. Finally, numerical examples are presented to demonstrate the validity of the proposed approach.