A Multiobjective Optimization Framework for Strength and Stress Concentration in Variable Axial Composite Shells: a metaheuristic approach

Abstract

A metaheuristic approach for variable axial composites considering multiobjective optimization is investigated. The proposed methodology is based on the combination of three main parts: a methodology for defining the orientation of the fibers in the laminate, a structural analysis program (based on the Finite Element Method) and an optimization algorithm. It is important to highlight that a radial basis function (RBF), which describes a smooth fiber pattern, is generated using control points. The novelties of the present methodology consist of a proposal for a generalized parameterization technique, which allows the investigation of mechanical strength and stress concentration of variable axial composites. Thus, NSGA-II multiobjective genetic algorithm is used as optimization tool to define the fiber orientations. Besides, a metaheuristic approach is used in situations when it is desirable to simultaneously minimize the stress concentration factor ( ) and a failure criterion index (  or ). Two case studies are investigated: a double notched plate and a tube with a transverse hole.