Stacking sequence optimization for maximum strengths of laminated composite plates using genetic algorithm and isogeometric analysis

In this paper, an optimal procedure based on genetic algorithm and NURBS-based finite element isogeometric analysis (IGA) is proposed for seeking maximum load-carrying capacity of imperfect laminated composite plates with respect to a specified displacement. Nonlinear behavior of plates including bending, buckling and postbuckling are investigated. Fiber orientations are the design variables. Governing equations are derived in the framework of first-order shear deformation theory (FSDT) associated with von-Karman strain theory for large deformation. Isogeometric analysis is known as a robust numerical method in dealing with laminated structures due to the smoothness, high continuity and the reduction of total degrees-of-freedom (DOFs). Modified Riks method is employed for nonlinear analysis. The arc-length scheme simultaneously adjusts displacement and load so that accelerates the analysis procedure. Computational time is significantly reduced based on the cooperation of IGA and Riks algorithm. Numerical examples including 4-ply and quasi symmetric laminates are investigated to show the efficiency and flexibility of the proposed approach.