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Materials Science in Additive Manufacturing                    Bi-modal powder spreading behavior of ceramics



            to understand the variation from the measured packing   3.4. Part relative density
            density in the spreading direction. The difference in   To understand the effect of the preferential powder
            packing density was not statistically significant (p>0.350)   deposition and density variation, a cube of 10  mm ×
            within individual X positions; however, it was statistically   10 mm × 5 mm was printed at distinct locations on the XY
            significant (p<0.001) when comparing different X   plane, similar to the density coupons. The relative density
            positions. There was a clear trend of packing density   of the green parts was calculated using Equation 5. As a
            decreasing in the spreading direction. The average packing   result, the relative density followed the trend seen for the
            density at the beginning of the spreading process (X ) was
                                                      1
            0.6867, followed by 0.6745 in the middle (X ), and 0.6342 at   powder packing density. The relative density of the parts
                                                               was higher at the beginning of the spreading direction and
                                              2
            the end of the spreading process (X ). The packing density   decreased from there. The average relative density of the
                                        3
            decreases by 7.65% at the end of the spreading process   printed samples measured at the start, middle, and end of
            compared to the beginning. However, the packing density
            remains  relatively  consistent  along  the  perpendicular   the powder bed along the spreading direction is 0.6724,
            direction of the spreading for the  given location in the   0.6611, and 0.6215, respectively. This indicates a decrease
            spreading direction. The three separate locations sampled   in relative density at the end of the powder bed, amounting
            in the experiments yielded an average packing density of   to 8.19% and 6.38% when compared to the start and
            0.6647, 0.6646, and 0.6661 at Y , Y , and Y  respectively.   middle of the bed, respectively. Similar to the packing
                                      1
                                        2
                                               3,
            These values are close to the overall average packing density   density, there was no significant variation perpendicular to
            of 0.6651. The sampling locations and the corresponding   the spreading direction for a given X location. In addition,
            packing density measurements are shown in Figure 6.  the average relative density measured perpendicular to
                                                               the spreading direction exhibits negligible variation, with
              From the experimental results, the packing density   values of 0.6516 at location Y , 0.6521 at location Y , and
                                                                                       1
                                                                                                         2
            shows a decreasing trend in the spreading direction, which   0.6512 at location Y . These values are close to the overall
                                                                               3
            follows the trend of the preferential powder deposition   average packing density of 0.6517. The sampling locations
            discussed in the previous section. The smaller powders   and the corresponding relative density measurements are
            were deposited at the beginning of the spreading process,   shown in Figure 6. The relative density of the printed parts
            and the larger powders dominated at the end of the   lies within the range of the relative density observed for
            spreading process. The packing density was highest where   green parts with similar materials in previous studies. 32,77,81
            the powder size distribution was dominated by smaller
            powder, which decreased with the increase in powder   Compared to the packing density of the part, the
            size. The reason is the smaller interparticle gap between   relative density of the green parts decreased across all the
            smaller and larger powders. As the roller advances, regions   samples, as shown in Figure 7. This can be attributed to the
            increasingly dominated by coarser particles exhibit looser   perturbation caused by the printing process. Binder kinetic
            packing and reduced bulk density due to larger void spaces   energy, which is influenced by the velocity and size of the
            and reduced surface area for interparticle interactions.   droplets, significantly affects the ejection of powder particles
                                                                                    82
            This gradient is further influenced by frictional resistance   during the printing process.  The droplet in the BJT process
            and shear-induced void during roller motion, which can   can act as a projectile due to its kinetic energy, and when it
            temporarily expand the powder bed at certain locations,   impacts the powder bed, the momentum transfer can lead to
            particularly where coarse particles dominate. However, in   local powder ejection or rearrangement. This effect is more
            bimodal powder, the smaller particles help to reduce the   pronounced  at  the  end  of  the  spreading  direction,  where
            interparticle gaps between the larger powder, resulting   packing density is already reduced due to preferential coarse
            in increased packing density.  Increased packing density   particle deposition. In addition, the surface tension and
                                   6,7
            enhances binder penetration and reduces binder spreading   spreading behavior of the binder can displace fine particles
            time.   Furthermore,  higher  packing  density  enhances   laterally or vertically, disturbing the initial packing achieved
                6
                                                                                      40
            the green density, improving the final sintered density.    during spreading. Inkley et al.  showed that binder droplets
                                                         31
            Similar directional density gradients and segregation-  can cause powder particles to be ejected from the bed,
            driven heterogeneities have also been reported in other   leading to increased porosity and reduced density in the
            ceramic systems, including titanium–aluminum alloys   final part. However, the binder introduces some mass in the
            and alumina–zirconia composites, where powder bed and   green part from its own component. Although the solvent
            part characteristics were closely linked to initial packing   portion of the binder dries off during the curing process,
            structure. 58,80  It is possible to use the differential packing   it leaves behind the polymeric component, which helps to
            density in the same powder bed to impart different   keep the shape intact. The difference between the powder
            densities in the same part.                        bed packing density and the relative density indicates that


            Volume 4 Issue 2 (2025)                         10                         doi: 10.36922/MSAM02510016
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