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International Journal of Bioprinting                                Design of SLM-Ta artificial vertebral body































                             Figure 5. Finite element modeling of the compression process of a tantalum artificial vertebral body.



            Upon reaching the yield strength, the specimen enters the   of the lattice structure increased as the sidewall curvature
            plastic deformation phase.                         decreased. The yield-strength-to-elastic-modulus ratios for
                                                               LS-2 and LS-3 (0.021 and 0.02, respectively) were higher
               As shown in Figure 6B, during the plastic deformation
            phase, the stress–strain curves of LS-1, LS-2, and LS-3 are   than those of LS-1 (0.018).
            generally smooth, with stress drops  observed in regions   The elastic modulus, yield strength, and yield-strength-
            ①, ②, and ③. In Figure 6C, the stress–strain curve for   to-elastic-modulus ratios of the Ta AVBs are shown
            AVB-1 is smooth, while AVB-2 displays stress oscillations   in  Figure 8. The elastic moduli of AVB-1, AVB-2, and
            in regions ①  and ②. AVB-3 shows a significant decrease   AVB-3 were 4.38, 5.32, and 12.1 GPa, respectively, with
            in stress after yielding (region ③), but no further stress   yield strengths of 107, 153, and 235 MPa, respectively.
            oscillations occurred during subsequent compression.  Compared to LS-1, LS-2, and LS-3, AVB-1, AVB-2, and
                                                               AVB-3 exhibited substantially higher elastic moduli
               The yield strength determines the load-bearing
            capacity of the AVB, and the elastic modulus dictates its   and yield strengths. This indicates that the topological
            stress-shielding effect from the surrounding bone tissue.   thin-walled structure can significantly improve the load-
            Therefore, a higher yield-strength-to-elastic-modulus ratio   bearing  capacity of the  lattice  structure.  Similar  to the
            of the AVB indicates better load-bearing performance   lattice structures, reducing the sidewall curvature of
            while reducing the stress shielding effect. The yield-  AVBs could enhance their load-bearing capacity. AVB-
            strength-to-elastic-modulus ratio is calculated as follows:  2 had the highest yield-strength-to-elastic-modulus
                                                               ratio (0.029), which was significantly higher than that of
                                                               AVB-1 and AVB-3 (0.024 and 0.019, respectively). Zhang
                                                                   58
                    γ   Yield strength  y σ *  MPa     (XI)    et al.  successfully fabricated a Ti6Al4V AVB featuring a
                       Elastic modulus  E *  MPa               dual-graded lattice structure using SLM. The dual-grade
                                                               porous AVB exhibited an elastic modulus of 2631.1 MPa
               The elastic modulus, yield strength, and yield-strength-  and a yield strength of 53.13 MPa. Notably, the yield-
            to-elastic-modulus ratio for the Ta lattice structure are   strength-to-elastic-modulus ratio of 0.020 for this artificial
            shown in Figure 7. The elastic moduli of the LS-1, LS-2,   vertebra closely resembles that of AVB-3. In contrast, the
            and LS-3 were 1.75, 2.39, and 3.21 GPa, respectively, with   solid PEEK artificial vertebrae, developed by Wang  and
            yield strengths of 31, 51, and 65 MPa. Despite similar   colleagues  using fused deposition modeling, achieved a
                                                                       59
            porosities, their elastic moduli and yield strengths varied   yield strength of 94 MPa. Furthermore, the yield strengths
            significantly. This indicates that sidewall curvature has   of  the  diamond-lattice  PEEK  and  PEEK/carbon-fiber
            a significant effect on the mechanical properties of the   cages with 48% porosity, as designed by Zhang et al.,
                                                                                                            60
            lattice structure. The elastic modulus and yield strength   were  162  and  118  MPa,  respectively,  approximating  the

            Volume 11 Issue 4 (2025)                       173                            doi: 10.36922/IJB025150133
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