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



              To quantitatively evaluate the performance of fractal   dissipated within the first cycle was the highest among all
            thin-walled structures during cyclic compression test,   six cycles. It could be inferred that both 2  and 3  order
                                                                                                 nd
                                                                                                       rd
            residual strain and dissipated energy (Equation VI) were   structures dissipated more energy under LD2 (Figure 12),
            calculated and compared in a bar  chart (Figure  12).   considering the first cycle and all six cycles. Nevertheless,
            Recoverability was evaluated by the residual strain, which   the residual strains in LD2 were higher than those in LD1.
            measures the permanent deformation of structures after a   The dissipated energy and residual strain indicated that
            cyclic test. Dissipated energy, the strain energy dissipated   structures under load in direction 2 experienced more
            in a material during cyclic loading, was calculated using   permanent deformation.
            stored energy during the loading period and the released   Table 2 compares the energy dissipation ratios (η) for
            energy during the unloading period. Both properties   both structures in two loading directions. The 2  order
                                                                                                       nd
            were measured after only the first cycle and after all six   structure had relatively smaller energy dissipation ratios
            cycles, considering the difference in behavior during the   than the 3  order structure, while both structures were
                                                                        rd
            first cycle and the remaining cycles. Overall, the energy   more efficient in LD1 (lower value of  η). The residual


                         A                                   B














            Figure 11. Specific energy absorption comparison among different hierarchies and various relative densities during quasi-static compression test from
            (A) loading direction 1 and (B) loading direction 2.
            rd: Relative density.

                         A                                   B














                         C                                   D













            Figure 12. Comparisons for residual strain after (A) the first loading-unloading cycle and (B) all six loading-unloading cycles. Comparisons for dissipated
            energy after (C) the first loading-unloading cycle and (D) all six loading-unloading cycles.
            LD1: Loading direction 1; LD2: Loading direction 2.


            Volume 2 Issue 1 (2023)                         11                       https://doi.org/10.36922/msam.53
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