Volume 45 Issue 8
Aug.  2024
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Article Contents
YAO Qian, YANG Zhao, WANG Xin, ZHAI Zhi, LI Zhen, GENG Xinyu, LI Bingyang, WANG Pengfei. A Review of Design Methods for Mechanical Metastructures[J]. Applied Mathematics and Mechanics, 2024, 45(8): 974-1000. doi: 10.21656/1000-0887.450106
Citation: YAO Qian, YANG Zhao, WANG Xin, ZHAI Zhi, LI Zhen, GENG Xinyu, LI Bingyang, WANG Pengfei. A Review of Design Methods for Mechanical Metastructures[J]. Applied Mathematics and Mechanics, 2024, 45(8): 974-1000. doi: 10.21656/1000-0887.450106

A Review of Design Methods for Mechanical Metastructures

doi: 10.21656/1000-0887.450106
Funds:

The National Science Foundation of China(U22B2013;12402407)

  • Received Date: 2024-04-19
  • Rev Recd Date: 2024-06-19
  • Available Online: 2024-09-06
  • Mechanical metastructures have superior mechanical properties coming from the topology of specially designed representative elements, and have attracted wide attention due to their mathematical basis, supernormal features and broad applications. To optimize the design procedure, grasp the future trends and promote the interdisciplinary innovation, the fundamental design concepts and research advancements of mechanical metastructures were reviewed. First, the design methods for mechanical metastructures were classified based on the forward and inverse design concepts. Second, within the forward design category, the principles, applicable fields, and optimization directions of periodic superstructures, surface defect superstructures, and mathematical model-based superstructures were discussed. For the reverse design category, the progresses and existing problems in the application of optimization algorithms and learning algorithms in the field of mechanical metastructures were analyzed, with future challenges and open issues concluded.
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