Robuuste Topologie Optimalisatie van Composietstructuren

This research explores the density-based topology optimization problem for composite structures at two structural scales: the microscale and macroscale. At the microscale level, a novel approach to homogenization-based topology optimization for composite structures is introduced. Unlike the traditional approach—where the optimal microstructural configuration of the macrostructure is determined by optimizing the topology of each finite element discretizing the unit cell—the proposed approach optimizes the microstructural configuration from a prescribed library of feasible configurations designated by the designer. This alternative framing of the conventional homogenization-based topology optimization problem grants the designer complete control over the available microstructural configurations within the optimization process, ensuring that the microstructural configuration obtained at the end of the optimization process is manufacturable and compliant with the fabrication requirements. At the macroscale level, a comprehensive framework for the topology optimization of fiber-reinforced composite structures is introduced, accounting for the material property variability that inevitably arises during their manufacturing process. By incorporating the material variability into the traditional topology optimization process, the resulting optimal topology is ensured to be robust—meaning that, in the presence of material property variations, it will perform reliably and in a predictable manner.