Globally Convergent Topology Optimization using Level Set Method

Main objective of this research is to develop and implement a numerical procedure to guarantee global convergence of the level set based topology optimization method. To verify the proposed topology optimization procedure, several numerical examples are treated. From the results of verification process, the hole creation and the global convergence are examined. In the optimization process, two dimensional elastic structure is considered. The objective function is selected as the compliance of a structure. As a constraint, the total volume (or mass) of a structure is limited to be a certain value. The sensitivities of the objective function and the constraint are calculated by direct di#erentiation method. Using the finite element analysis, performances of the optimized results are analyzed