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Page 16 of 24                            He et al. Microstructures 2023;3:2023037  https://dx.doi.org/10.20517/microstructures.2023.29

               Table 3. A brief overview of design based on static characteristics in mechanical meta-structures
                Design  Algorithm Meta-structure and Performance  Description                          Year
                Type
                2D      CNN                                                                                               The inverse design of high toughness hierarchical structures based  2018
                structure                                  on CNN greatly saves computational time compared to traditional
                                                                          [131]
                                                           finite element methods  .








                       CNN                                  Effectively searching for the optimal cutting mode for stretchable  2018

                                                            graphene kirigami structures under given yield strain and stress
                                                            conditions based on CNN models [132] .






                       Supervised                           Generate the structure by passing potential variables to the decoder.  2020
                       AE                                   It is expected to find new structures, but the prediction of mechanics
                                                                                          [133]
                                                            performance beyond the dataset may be biased  .






                                                            CNN for predicting 2D metamaterials with the best mechanical   2020
                       CNN
                                                            properties. The model exhibits robustness in terms of accuracy and
                                                                     [134]
                                                            inference time  .





                       DCGAN                                Combine DCGAN and CNN for designing microstructures. The   2019
                       CNN                                  model has high efficiency and can flexibly control geometric
                                                                   [135]
                                                            constraints  .



                       CNN                                  Combining CNN and GA can find Pareto's optimal structural design  2021
                       GA                                   using a relatively small dataset, even with complex nonlinear
                                                            constraints [136] .







                       CNN                                Inverse design of 2D metamaterial based on predefined Poisson's   2022
                       GAN
                                                          ratio. The model can generate structures beyond the dataset and
                                                          exhibit responses similar to real structures [137] .
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