Topology optimization with optimal design subdomain selection

Topology optimization is a technique to solve the material distribution problem. However, to consider manufacturing constraints within this technique can be challenging. A type of manufacturing constraint that has not been thoroughly addressed is the ability to optimally select among a set of design subdomains. Examples of situations that may require such constraint in their design process are: the design and optimal location of a bridge pier, and the design and location of an outrigger system for a high-rise building, to name a few. This paper presents a novel formulation to address the simultaneous optimal subdomain selection and topology design problem which is based on the well-known SIMP formulation. The proposed method optimally selects the design subdomains in (2D and 3D) structures, and topology optimizes these with the remainder of the design domain which does not belong to any subdomain.