High Fidelity Multi-Scale Topology Optimization

This Ph.D. thesis presents significant advancements in multi-scale topology optimization, focusing on high fidelity optimization frameworks capable of addressing complex, scaled, and practical engineering problems. It explores multiple loading cases and indirect manufacturability and stability, aiming to efficiently solve gigascale optimization problems on conventional powerful PCs.

The thesis introduces novel approaches in multi-scale topology optimization for stiffness-optimal Rank-N and Rectangular-hole laminated microstructures. These approaches include innovative regularization schemes, such as cohesive indicator fields for controlling active laminates and local infill for tailored stiffness optimization to improve manufacturability and stability indirectly.

Feature-mapping-based topology optimization is explored with a morphing wing problem, leading to the development of a novel multi-scale feature mapping approach. This approach addresses feature overlap and confinement. The thesis also presents projection-based and stream-surface-based de-homogenization techniques for 2D multiple load scenarios and 3D unstructured domains, enhancing practical applicability.

Through various examples, the research demonstrates computational efficiency and detailed structural performance, indicating a significant step towards an interactive and efficient high fidelity multi-scale topology optimization tool for complex engineering problems.
The work culminates in a preliminary study of a high fidelity multi-scale wing,
identifying key challenges and potential solutions for future research in topology
optimization