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International Journal of Bioprinting                                   Horsetail-inspired lattice for bone use




            feature for mechanical performance tuning has not been   mechanical performance tuning to match elastic moduli
            widely studied.                                    of bones through geometrical parameter changes. The
               Hence, in this work, we propose the novel use of a   matching of elastic moduli for different bones alleviates
            BCC lattice with subtractive modifications on the strut   the effects of stress shielding in bone scaffold-related
            members to create a horsetail-inspired cross-section. The   applications. Through our investigation, we also discovered
            cross-section applied to the BCC lattice results in effective   that the isotropy characteristic is decoupled from the outer
            surface  area  increase  and  creation  of  flow  channels.   radius of the BCC; this avoids convolution that would
            Additionally,  we  also  limited  the  volumetric  fraction,  φ,   otherwise increase design difficulties.
            to approximately 40% to allow sufficient porosity as well   2. Materials and methods
            as allow a lightweight design to mimic that of the bone.
            The presence of the features allows vascular ingrowth, and   2.1. Design principles
            direct  osteogenesis  nutrient,  as  well  as  metabolic  waste   Figure 1 shows the derivation of the basic lattice utilized
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            transport.  We varied the thickness and outer radius on   herein. In our study, 5 × 5 × 5 mm BCC lattice was used as
            the cross-section and found that the resulting effects on   the unit cell, as shown in Figure 1A. The cross-section of
            mechanical performance are correlated. The compression   a strut consists of a cylinder, which is hollowed out based
            of the designed lattices at individual lattice and lattice   on the simplified horsetail cross-section as illustrated
            matrix levels were simulated using finite element analysis   in  Figure 1B. The unit cell was constructed by Boolean
            (FEA). We also fabricated Ti-6Al-4V-based samples of   addition of eight strut members (representing one-eighth
            a critical test-point using selective laser melting (SLM)   of the  BCC lattice),  each  rotated and positioned to the
            methodology with different lattice directions. The samples   appropriate orientation in the 3D space. Additionally,
            were subjected to compression testing, and the agreement   spheres with radii equivalent to the inner radius of the
            of the results from the FEA validated the numerical   strut were created; the spheres were placed on the two
            results. The elastic moduli of around 10 GPa and the   ends of the strut member, flushed to the edge of the inner
            compression strength of 100–140 MPa attained from the   wall where Boolean subtraction was performed. The
            tests were within the ranges of that of the human bones.   subtraction removed part of the flanges common with the
            The correlations we established allow computational   volume of the spheres.




































            Figure 1. Schematic of the horsetail-inspired lattice construction. (A) Location of parameters, (B) profile of extruded strut, and (C) cutting planes of strut
            with Boolean subtraction of spheres on strut tips.


            Volume 10 Issue 4 (2024)                       189                                doi: 10.36922/ijb.2326
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