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Compression Failure of Trabecular Tantalum Scaffolds
           experimental specimens. The compressive strain during   failure mechanism of the scaffolds were investigated by
           FEA simulation was set within the range of elastic   compression testing and FEA. The main conclusions are
           deformation, comparable to the FEA of porous structures   summarized as follows:
           in other studies [52-55] . The results (Figure 15) revealed   1)  The fabricated Ta scaffolds exhibited favorable pore
           that  the  stress  on  the  struts  of  trabecular Ta  scaffolds   structure characteristics for bone tissue ingrowth,
           gradually decreases with the increase in porosity under   which match well with those of the designed models.
           the same compressive strain since the length of the struts   Porosity  has  a  significant  effect  on  compressive
           of trabecular Ta scaffolds is positively correlated with   mechanical  properties.  As  the  porosity  decreased
           porosity. Stress on the struts gradually decreases from   from  85%  to  65%,  the  compressive  yield  strength
           the conjunction to the middle [46] . The stress on the struts   and elastic modulus increased from 11.9 MPa to
           of the trabecular Ta scaffold with porosity of 65% is the   35.7 MPa and from 1.1 GPa to 3.0 GPa, respectively,
           largest as a result of the shortest struts. Correspondingly,   which lie in the range of those of the  cancellous
           the trabecular Ta scaffold with porosity of 85% exhibits   bone.
           the minimum stress distribution on the struts owing to   2)  AM-fabricated  trabecular  Ta  scaffolds  showed
           the longest struts. The stress of trabecular Ta scaffolds   excellent  ductility  and  mechanical  reliability.
           primarily concentrates on the conjunctions of struts   They exhibited plastic failure resulting from
           and vertical struts, where fractures occurred during   the deformation and fracture of  Ta struts during
           uniaxial static compression testing. Similar FEA results   compression  testing.  No  macroscopic  cracks  were
           can be found in other studies [56-59] . Consequently, FEA-  found when the scaffolds were subjected to strain up
           generated compressive stress distribution and material   to 50%. Most microcracks occurred at conjunctions,
           deformation are in good agreement with those found     and the remaining ones appeared on the struts.
           experimentally. However, it should be noted that the   3)  FEA simulations revealed that the stress on the struts
           stiffness and strength obtained by FEA simulation are   of trabecular Ta scaffolds gradually decreased with
           higher than those obtained in the compression tests.   the increase in porosity under the same compressive
           Some of the reasons for this fact could be the surface   strain.  The  stress concentration  primarily  appeared
           roughness or irregularities in the strut area randomly   on the conjunctions of struts and vertical  struts
           produced during laser fusion process.  The process     under compressive loading. The FEA results are in
           imperfections on the struts can reduce the mechanical   good agreement with the experimental compressive
           properties of porous Ta scaffolds and result in the stress   results. Model optimization  can be performed  by
           concentrations which provides opportunities for the    introducing an optimized  radius at the nodes to
           collapse of the structures under compressive loads. In   release  the  stress concentration and  strengthen  the
           addition, the sharp angles at the conjunctions of struts   deformation resistance of trabecular Ta scaffolds.
           easily result in stress concentration during compression
           testing.  An  effective  solution  for  this  problem  is  to   Acknowledgments
           introduce the optimized radius at the nodes. Li et al.    The authors are grateful to the National Key
                                                        [46]
           studied the influence of different optimized radius at the
           nodes on the mechanical behavior and failure modes of   Research and Development Program of China (grant
           the diamond lattice structure. They concluded that the   No.  2020YFC1107500)  for  financial  support.  Xia  Jin
           introduction of an optimized radius releases the stress   would like to thank the Key Lab of Industrial Fluid Energy
           concentration at the nodes and improves the mechanical   Conservation and Pollution Control (Qingdao University of
           reliability of porous structures. Moreover, the stress   Technology), Ministry of Education, PR China. Xiaopeng
           distribution gradually shifts from the node to the middle   Li would like to acknowledge the financial support from
           of the struts as the optimized radius increases. Therefore,   Australian Research Council (ARC) Discovery Early
           based on the results of FEA, model optimization of   Career Researcher Award (DECRA) DE190101495.
           trabecular Ta scaffolds can be performed to strengthen   Conflict of interest
           the  vertical  struts  and  make  the  connection  of  struts
           smoother, resulting in a more uniform stress distribution   The authors declare that they have no known competing
           over the whole structure.                           financial  interests  or  personal  relationships  that  could
                                                               have appeared to influence the work reported in this paper.
           5. Conclusions

           Trabecular Ta scaffolds with porosities of 65%, 75%, and   Author’s contributions
           85% were designed and fabricated by LPBF-based AM,   J.Y. wrote the manuscript, conceptualized the idea, and
           and their porous architectures and microstructures were   supervised  this  research.  H.G. and  D.Z. conducted  the
           characterized. The compressive mechanical behavior and   experiments. X.J.  and X.L. revised the manuscript and

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