Level Set Models for Structural Topology Optimization

This paper presents a new model for structural topology optimization. We represent the structural boundary by a level set model that is embedded in a scalar function of a higher dimension. Such level set models are flexible in handling complex topological changes and are concise in describing the boundary shape of the structure. Furthermore, a gradient-based procedure leads to a numerical algorithm for the optimum solution satisfying specified constraints. The result is a 3D topology optimization technique with outstanding flexibility of handling topological changes, without resorting to homogenization-based relaxations that are widely used in the recent literature.