The Influence of Initial Structural Density Value on Results of Multi-Material Topology Optimization Problems
We discover that the given initial structural density value has significant influence on the final result of multi-material topology optimization when adopting the SIMP interpolation scheme. The influence cannot be ignored if the grid is sparse, and there is a certain degree of periodic relationship between the structural minimum compliance and the given initial density value. By modifying the initial structural density value, a better topology optimization result with a smaller compliance can be obtained. The expression is proposed on how to modify the initial structural density value to get better results in multi-material topology optimization problems.
Jianzhong Lin, Tianhong Yan, Xinsheng Xu and Zhengyi Jiang
M. T. Cui and H. F. Chen, "The Influence of Initial Structural Density Value on Results of Multi-Material Topology Optimization Problems", Applied Mechanics and Materials, Vols. 635-637, pp. 223-227, 2014