An Improved Density-Based Design Method of Additive Manufacturing Fabricated Inhomogeneous Cellular-Solid Structures

  • Yu Zhu
  • Jiaqi Zhao
  • Ming ZhangEmail author
  • Xin Li
  • Leijie Wang
  • Chuxiong Hu
Regular Paper


Benefited from the rapid development of additive manufacturing (AM), inhomogeneous cellular structures have attracted many interests for their superior structural and functional performance. Recently proposed density-based design methods have been shown to provide great computational efficiency and obtain structures with excellent performance. To achieve better structural performance while considering AM constraints, an improved density-based design method which introduces solid and void units into the design domain is proposed in this paper. First, based on homogenization theory and solid-body analysis, unit parameters of different preset unit relative densities are determined. And a unit effective property interpolation model is constructed. Then, the macro relative density layout is optimized with density methods. In the optimization process, an efficient density filter is proposed to increase the optimization domain and satisfy minimal feature size constraint. Finally, the structure reconstruction algorithm automatically constructs the optimized cellular structure based on the unit and density information obtained in the first two processes. Numerical examples show that the proposed method efficiently obtains inhomogeneous cellular structures with better performance, compared with existing density-based methods.


Additive manufacturing Cellular structure Design for manufacturing Homogenization Topology optimization 



The author thanks Prof. Krister Svanberg for use of the MMA optimizer. This work was supported in part by the National Natural Science Foundation of China under Grant 51677104.


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Copyright information

© Korean Society for Precision Engineering 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringTsinghua UniversityBeijingChina
  2. 2.State Key Lab of TribologyTsinghua UniversityBeijingChina
  3. 3.Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and ControlTsinghua UniversityBeijingChina

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