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Materials Science in Additive Manufacturing                  Energy absorption of Moore’s thin-walled structures




            Table 2. Energy dissipation ratio for the 2  and 3  order structures after cyclic loading
                                           nd
                                                 rd
             Properties                      2  order structure                       3  order structure
                                                                                      rd
                                              nd
                                  Loading direction 1  Loading direction 2  Loading direction 1  Loading direction 2
            Dissipated energy (J)      1.48                 4.15                1.13                 4.01
            Stored energy (J)          4.57                11.11                2.64                 7.82
            Energy dissipation ratio   0.32                 0.37                0.42                 0.51


                         A













                         B













                         C









                         D











            Figure 13. Comparison of effective stress-strain curves between the 3  and 4  order structures (left panels), and magnified curves of the 4  order
                                                               th
                                                          rd
                                                                                                        th
            structures (right panels) obtained from FE models during quasi-static compression from (A) loading direction 1 (LD1) and (B) loading direction 2 (LD2).
            (C) Deformation of the 4  order structure with relative density (rd) of 20% under LD1. (D) Deformation of the 4  order structure with relative density of
                            th
                                                                                    th
            40% under LD2. Shell elements are rendered with actual thickness.
            strain and energy dissipation ratio demonstrated   1. This phenomenon was attributed to the less compliant
            resilience in the 2   order fractal-inspired thin-walled   behavior of the 2  order structure when compared to the
                                                                             nd
                            nd
            structure under cyclic loading from in-plane direction   3  order structure.
                                                                rd
            Volume 2 Issue 1 (2023)                         12                       https://doi.org/10.36922/msam.53
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