Optimal topologies of structures: homogenization, pseudo-elastic approximation and the bubble-method

摘要

Presents a pseudo-elastic approach to topological optimization. In comparison with the well-known homogenization method for topological optimization it is not based micro-cellular structure, but approximates elastic properties directly. A characteristic difficulty of these methods is the birth of new inner boundaries: thinning out the material can be interpreted as reducing the density of a composite micro-structure, but eventually this process can result in a bubble with ze density. Therefore, the bubble-method is valuable asset to topological optimization which helps to overcome this difficulty.