Page 177 - IJB-7-4
P. 177

Zolfagharian, et al
           3. Results and discussion                           in the CAD software and converted into step format
                                                               before being imported into  ABAQUS (Dassault,
           Three lattice designs with the same amount of       France) for the FEA study. Different elements were
           materials  for  the  sake  of  comparisons  were  created
                                                               used for ground, foot, and midsole where ground
                                                               block and foot were meshed by 5  mm R3D4 and
           Table  1.  Elastic  and viscous parameters  for Carroll’s, neo-
           Hookean, and Yeoh’s models                          R3D3, respectively, and midsoles were meshed  by
                                                               3 mm C3D4 tetrahedral elements as shown in Figure 4.
           Carrol model    a       b        c        -         The  boundary  conditions  of  different  parts  are  shown
                        2.868e- 1.4183e- 7.846e-0    -         in Figure 5, where the ground block is constrained in
                          01       07       1                  all  directions.  The  input  force  was  defined  for  three
           Neo-Hookean+   C 1      D 1     D 2       D 3       different  scenarios  of  walking,  running,  and  jumping
           Yeoh’s model  8.201e-  5.792e-  4.464e-  3.382e+00  of an individual with 1820 mm height, 84.6 kg weight,
                          01       01      01                  and equivalent BMI of 25.3 in Figure 6 . A dynamics/
                                                                                                 [35]
                                                               explicit solver with time steps corresponding to input
                                                               force was used for calculating the simulation results in
                                                               various individual specifications during walking,
                                                               running, and jumping. According to the simulation
                                                               of  ordinary  walking [12] ,  the  stresses  of  plantar  were
                                                               within the linear elastic range of EPU40 material. The
                                                               properties of the foot and the ground were assumed
                                                               rigid, and for shoe midsole, the EPU40 properties
                                                               were defined (Figure 3).
                                                                   The impact forces representing the individual
                                                               specifications  in  walking,  running,  and  jumping  were
                                                               applied for the three lattices, and stress and displacement
                                                               distributions  results  are  shown in  Figures  7 and 8,
           Figure 3. Viscoelastic 3D-printed EPU40 stress-strain results.  respectively. It is observed that the highest-pressure peaks

                        A










                        B









                        C












           Figure 4. Different lattice meshes of midsole designs: (A) hexagonal, (B) elliptical, and (C) circular.


                                       International Journal of Bioprinting (2021)–Volume 7, Issue 4       173
   172   173   174   175   176   177   178   179   180   181   182