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Materials Science in Additive Manufacturing                     Increasing density and strength in binder jetting


              The Ryan-Joiner test also indicated that the UFS   However, when both the truncated and full datasets
            data were not normally distributed. The Kruskal–Wallis   were compared, as shown  in  Figure  8  and  Figure S1
            (α  =  0.05) non-parametric test was performed. It was   (in Supplementary File), a similar trend can be seen but
            found that both bimodal groups were statistically higher   with different statistical significance.
            than the 30 µm and 40 µm group, as shown in Figure 8.   According to our previously reported MD simulations,
            Due to the size limitations of the tube furnaces used for   the fine powders filling the interparticle voids can
            sintering, only three bars were sintered at a time. It was   contribute extra bonds to connecting the coarse particles
            suspected that variation in sintering conditions both   after sintering . As a result, the rupture strengths are
                                                                          [26]
            within and across particle groups could be present, as   enhanced in the bimodal particle mixture than in the
            shown in Table 4. This may be an influencing factor on   unimodal particle size mixture. It should be noted that the
            why statistical differences between some of the unimodal   rupture strength observed in the ReaxFF-MD simulations
            and bimodal groups were not observed, despite the 168.3%   was improved by 40.9%, which was much lower than
            and 173.4% increase in UFS from the 10 µm to the 30 + 10   the >170% measured improvements demonstrated in the
            and 40 + 10 µm groups, respectively. Results gathered from   3-point bending tests. This could be attributed to the lower
            samples that were sintered in the same batch were used to   number of fine particles in the MD simulation.
            see the impact different sintered runs had on the UFS. As
            shown in Table S1 (in Supplementary File), analysis of UFS   5. Discussion
            of particle size groups sintered in the same batch resulted
            in lower relative standard deviation (RSD). This indicates   Based on the findings from this study, it can be observed
            significant variations in strength between sintered groups.   that bimodal distribution feedstock achieves higher density
                                                               and mechanical properties for SS316L. Our work showed
                                                               a statistically significant increase in sintered density with
                                                               the introduction of bimodal groups when compared to
                                                               unimodal distributions, which is in agreement with prior
                                                               reports [4,19,20] . The improvement in density after sintering
                                                               conditions could be attributed to better filling effects
                                                               that could result in more contact and necking, which is
                                                               beneficial for sintering and shrinkage reduction. To the
                                                               best of our knowledge, this is the first study that reports
                                                               a statistically significant increase of more than 20% in
                                                               sintered density in the bimodal particle size distribution.
                                                                 The increase in density observed with our bimodal
                                                               results  aligns  with  Du  et al.’s  findings  when  studying
                                                               silicon carbide in which a 5% increase in bimodal green
            Figure 7. Relationship and trend between all particle groups with respect   density was observed when compared with the unimodal
                                                                         [25]
            to X-ray computed tomography, caliper measured (individual) density,   distributions . Du et al. analyzed different coarse powder
            and caliper measured (average) density.            fractions (%) for bimodal mixing and found the highest
                                                               density values of 70 – 75% coarse particles in the mixture,
                                                               which is comparable to the 73% used in this study. The
                                                               appropriate  selection  of  a  coarse-to-fine  ratio  has  been
                                                               shown to impact part density. The ratio used in this study
                                                               Table 4. Summary results across particle groups
                                                                Group   Sintered density (%)  Ultimate flexural strength (MPa)
                                                                        Mean  Std.  RSD  Mean   Std.   RSD
                                                               10 µm    59.77  1.98 3.31%  117.50  74.20  63.15%
                                                               20 µm    54.61  2.12 3.88%  96.35  9.81  10.18%
                                                               30 µm    53.76  1.43 2.66%  62.80  5.78  9.20%
                                                               40 µm    57.40  2.33 4.06%  36.80  30.80  83.70%
                                                               30+10 µm  71.83  2.47 3.44%  315.30  59.05  18.74%
            Figure 8. Ultimate flexural strength (UFS) shows that bimodal particles
            have higher flexural strength. *P = 0.01 – 0.05 and **P < 0.01.  40+10 µm  71.57  2.36 3.30%  321.30  61.80  19.02%


            Volume 1 Issue 3 (2022)                         7                      https://doi.org/10.18063/msam.v1i3.20
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