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Topology Optimized Locking Compression Plates to Minimize Stress Shielding
           Table 1. The initial designs considered for the bone plates
            Plate reference  Number of holes
           ID4                     4
           ID6                     6

           ID8                     8



           Table 2. Loading and boundary conditions considered for topology optimization
           Loading type       Description
           Compression load










           Bending load












           Torsion load












           Combined load














               SIMP optimization was used to minimize the strain   3.3. Mesh dependency
           energy of the plate designs shown in Table 1, considering   Similar  to  any  numerical  approximation  method,  TO
           different  volume  reductions  (25,  45,  and  75%)  of  the   results are dependent on the meshing quality . Therefore,
                                                                                                   [16]
           initial design volume. To guarantee the integrity of the   a preliminary study was conducted considering an eight
           screw holes to preserve their shape during TO, the holes   screw  holes  plate  under  compression  loading  and  a
           were considered frozen regions, as shown in Figure 2.  volume  reduction  of  45%,  discretized  with  eight-node

           156                         International Journal of Bioprinting (2021)–Volume 7, Issue 3
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