Multiscale topology optimization for graded cellular structures based on level set surface cutting

作者：Yu, Chen; Wang, Qifu^*; Xia, Zhaohui; Wang, Yingjun; Mei, Chao; Liu, Yunhua

来源：STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2022, 65(1): 32.

DOI：10.1007/s00158-021-03097-6

• Topology optimization
• Multiscale level set
• Surface cutting
• Graded cellular structures

This paper presents a multiscale level set topology optimization method for the design of graded cellular structures. The micro-scale level set-based prototype microstructure is periodically repeated to constitute a basic structure, which is cut by the macro-scale level set surface to generate the progressively-changing cellular structure. In the proposed method, the level set functions evolve in both scales, and then the configuration-optimized cellular microstructures are distributed in a well-arranged graded pattern. Due to the high-order continuity of parameterized level set function, the adjacent cellular microstructures connect to each other smoothly. For bridging different scales, the effective properties of microstructures are calculated by the numerical homogenization method. By studying the relation of microstructural elasticity tensors to the level set functions of both scales, the mechanical property and sensitivity analysis for cellular microstructure at an arbitrary position can be estimated effectively. Numerical examples demonstrate that the proposed method can customize both the configurations and distributions for graded cellular structures with favourable continuity.

• 单位
  华中科技大学