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International Journal of Bioprinting                       Design of biofixed metamaterial bone plates and fillers




            (ii)  Considering the approximate symmetry in the   8.02 mm, respectively (Figure 9d). A slight increase in the
                 length and width directions of the filler, we added   displacement was observed in the cancellous bone filler,
                 symmetric constraints to the filler to achieve   whereas the displacement was observed to increase more
                 optimized results.                            prominently in the bone plate and cortical bone filler. The
            (iii)  The filler and bone plate positions, except for   presence of porous structures reduced prosthesis stiffness
                 the screw holes, were set as the design space; the   and the stress-shielding effect of the bone plate and filler.
                 other positions (i.e., required for subsequent screw   Based on our findings, the cancellous bone filler can be
                 assembly) were set as non-design space.       designed as a full-curved porous structure to reduce
                                                               stiffness and improve biocompatibility.
            (iv)  The quality goal was set to 30%; the minimum
                 thickness constraint was set to 3 mm; the maximum   3.4. Biological fixation of the femoral bone plate
                 thickness constraint was set to 6 mm.         and filler
                                                               We saved the designed femoral filler and bone plate in
            (v)  The  mesh   division  was  selected  as  an   the STL file format and converted them into implicit
                 automatic division.
                                                               surface bodies. We utilized the Grasshopper plug-in of
            3.3.2. Topology optimization design of the femoral   the Rhinoceros software for filling the bones and bone
            bone plate and filler                              plates. The topologically optimized cortical bone (unit
            The finite element analysis results of the femoral bone   size: 2 mm; thickness: 0.25 mm) was filled with curved
            plate and filler are displayed in Figure 9. At a pressure   diamond structures for good strength, and the cancellous
            of 2100 N, the end of the bone plate with the most   bone (unit size: 3 mm; thickness: 0.25 mm) was filled
            significant stress concentration was 5.15e MPa (Figure   with curved Split P structures for good biocompatibility.
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            9a). In this regard, considerable stress was distributed   After topology optimization, the bone plate (unit size:
            at the contact site between the bone plate-filler and the   2.5 mm; thickness: 0.25 mm) was filled with curved
            femur, while the stress concentration in other parts of the   diamond structures for better mechanical properties.
            femur was low, suggesting a stress-shielding effect by the   The fillers were then programmatically fused with the
            bone plate-filler. When the magnitude and distribution   topology optimization framework. The topologically
            of stress in cortical bone and cancellous bone filler were   optimized cortical bone surface and the porous curved
            compared, stress was concentrated at the cortical bone   surface had an  excellent  filling effect    (Figure 10a).
            filler, possibly indicating stress shielding at the contact   Additionally, the smooth transition implied strong
            between the cortical bone filler and hard cortical bone.   bonding, and ripples were formed on the surface of the
            The femur’s low stress concentration could be due to its   solid cortical bone to facilitate cell adhesion. The fusion
            low elastic modulus, and the femur released most of the   effect between the cancellous and cortical bones after
            stress through deformation. The maximum displacement   filling was adequate with a smooth transition (Figure
            of the solid femoral bone plate and filler, cortical bone   10b).  The  fused  bone  plate  frame,  diamond  surface,
            filler, cancellous bone filler, and bone plate were 1.42e ,   and screw hole were closely connected, with a smooth
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            2.22,  2.20, and  3.49 mm,  respectively (Figure  9b).  The   transition (Figure 10c).
            maximum displacement occurred at the femoral head
            position, with a cumulative effect from top to bottom.   3.5. Assembly of bone plate, filler, screws, and femur
            The maximum stress of the femoral prosthesis, cortical   The designed bone plate had directly exposed edges,
            bone filler, cancellous bone filler, and bone plate after   primarily at both ends, and these sharp edges may
            topological optimization were 4.94e , 2.75e , 6.19e , and   cause soft tissue injury when implanted. Therefore, the
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            4.89e MPa, respectively (Figure 9c). After topological   sharp edges were wrapped with another solid material.
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            optimization, the maximum stress remained in the bone   Thereafter, the designed bone plate, screws, and femoral
            plate position, but it was lower than that before topology   fillers were imported into the Materialize Magics
            optimization. The stress on the cortical bone and   software for simulated  assembly  with  the  segmented
            cancellous bone filler was higher after optimization than   femoral model (Figure 11). Interference detection was
            before optimization. The stress distribution in the bone   performed on the assembled structure; all the parts
            plate, cortical bone filler, and cancellous bone were more   fit  well  with  tight  coordination  and  no  interference
            uniform, indicating improved efficiency at each part.   conflicts between the models, meeting the requirements
            The maximum displacement of the femoral prosthesis,   for use. As aforementioned, we created fixation holes
            cortical bone filler, cancellous bone filler, and bone plate   without threads  for  the  convenience of simulation
            after topology optimization were 1.41e , 3.27, 2.19, and   analysis. In practical applications, threaded fixation
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            Volume 10 Issue 4 (2024)                       397                                doi: 10.36922/ijb.2388
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