Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
A Radial Basis Function Based Optimization Framework for Variable Axial Composites Materials
Submission Author:
Pedro Bührer Santana , RS
Co-Authors:
Pedro Bührer Santana, Volnei Tita, Herbert Gomes, António Joaquím Mendes
Presenter: Pedro Bührer Santana
doi://10.26678/ABCM.MECSOL2022.MSL22-0141
Abstract
This work presents a strategy for the multiobjective optimization variable axial composites. The proposed methodology relies on the integration of three components: a framework for the definition of the orientation of the fiber across the laminate, a structural analysis program, and an optimization algorithm. The optimization design variables are angles values assigned to control points on selected locations over the structure. These control points are used to build a radial basis function(RBF), which describes a smooth fiber pattern. The nodal angles are obtained by evaluating the RBF function values at nodal coordinates. The fibers’ orientation at each finite element integration point is determined based on the nodal angles used in conjunction with the shape functions to interpolate angles values to these points. An eight- node degenerated serendipity shell finite element is used for stress analysis. The element formulation takes into account the characteristics of the variable-stiffness laminate. The optimization of the orientation of the fiber is performed using a Multiobjective genetic algorithm (NSGA-II). All components of the optimization framework are implemented in Matlab for the study presented in this work. The methodology is applied to cases where the simultaneous minimization of the stress concentration factor and minimization of the Tsai-Wu failure criterion is desired. The optimum solution obtained by the proposed methodology presents improvements compared to the best unidirectional fiber design, indicating it may be a useful tool for designing variable axial composites.
Keywords
Composite Materials, multiobjective optimization, Stress Analysis, Finite Element Method, Variable axial composites materials

