Coupled topology and shape optimization using an embedding domain discretization method

Density-based topology optimization and node-based shape optimization are often used sequentially to generate production-ready designs. In this work, we address the challenge to couple density-based topology optimization and node-based shape optimization into a single optimization problem by using an embedding domain discretization technique. In our approach, a variable shape is explicitly represented by the boundary of an embedded body. Furthermore, the embedding domain in form of a structured mesh allows us to introduce a variable, pseudo-density field. In this way, we attempt to bring the advantages of both topology and shape optimization methods together and to provide an efficient way to design fine-tuned structures without predefined topological features.

Automated summary

In this work, density-based topology optimization and node-based shape optimization are combined into a single optimization problem using an embedding domain discretization technique. The use of a variable pseudo-density field allows for the design of fine-tuned structures without predefined topological features. Through this approach, the advantages of both topology and shape optimization methods are brought together to provide an efficient way to generate production-ready designs.