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




                        D   33 .  28 . D    D   27.        as capillary forces or humidity-induced agglomeration,
               τ 12,  =−  1−  2    −  2  1−  2      (V)     were also not considered in the model, although they may
                   1 
                        D 1    D 1    D 1                  influence  powder  behavior  in  experimental  conditions.
                                                               In addition, inter-particle interactions were represented
              This  study uses these equations  to get  the  packing   using simplified force models that approximate cohesion
            density of the bimodal powder used in the simulation of   and friction.
            this study. The mixing ratios were analyzed based on the
            computational study by Shahed et al.,  and a volumetric   Following  the  settling  simulation,  a  spreading
                                           6
            ratio of 75%/25% was derived for 5 µm and 20 µm powders,   simulation was performed to mimic the recoating process
            resulting in a packing density of 0.71.            to generate the powder bed. A representative distribution
                                                               of the bimodal powders (PSD that ranges from 2 µm, 4
              Discrete element modeling simulations were conducted   µm, 5 µm, 10 µm, 15 µm, 18 µm, and 20 µm) was used
            using Flow3D (Flow Science Inc., United States) to   to generate the powder bed (e.g., 2 µm, 4 µm, and 5 µm
            generate  representative  powder  beds  with  a  mesh  size   powders were used to represent the PSD of the 5  µm
            of 0.22  mm. The DEM simulation was conducted using   powder, and 10 µm, 15 µm, 18 µm, and 20 µm were used to
            a cross-sectional representation of the actual system,   represent the PSD of the 20 µm powder). As the spreading
            measuring 4 cm × 1.625 cm, scaled down by a factor of   mechanism, a counter-rotating roller (0.4 cm diameter) was
            four to reduce computational costs. A layer height of 50   simulated with a traverse speed of 0.15 m/s at 250 rpm. The
            µm was maintained throughout the simulation. To analyze   particles are defined as discrete rigid bodies, and the details
            particle distribution, sampling volumes were defined   of setting up the simulation can be found in Shahed et al. .
                                                                                                            6
            along two orientations: 4 cm × 0.1 cm × 0.005 cm in the   Three sampling volumes were set up in the X-axis (parallel
            spreading direction and 1.625  cm × 0.1  cm × 0.005  cm   to the spreading direction) at the beginning, middle, and
            perpendicular to the spreading direction. These volumes   end of the powder bed. Similarly, three sampling volumes
            were used to quantify the deposition of both large and   were set up on the Y-axis (perpendicular to the spreading
            small solid particles within the simulated domain. In   direction), as shown in Figure 2. The rationale for studying
            addition, this powder settling simulation is representative   these multiple sampling volumes was to capture any
            of the overhang powder deposition system, as shown in   variations in powder packing quality at different stages of
            Figure 1.                                          the spreading cycle and across both the edges and center

              To  ensure  computational  efficiency  and  tractability,   of the powder bed, thereby testing our hypothesis. From
            the DEM simulations in this study involved several   the count of the particles, the average size of particles in
            assumptions as used in previous studies. 34,36,46,65  All   the sampling volume was calculated using the following
            particles were modeled as discrete, rigid spheres to   Equation VI:
            simplify contact interactions and reduce simulation        ∑ nd .
            complexity. As a result, any particle deformation during   d avg  =  i  i                     (VI)
            collisions was neglected. Moisture-related effects, such    ∑ n i


                         A                                   B



















            Figure 1. Discrete element method simulation workflow. (A) The powder settling simulation mimics the powder dropping from an overhead powder
            deposition system, followed by a powder spreading simulation with a counter-rotating roller. (B) Particle size distribution of the bimodal powder blend
            composed of 5 µm and 20 µm particles, demonstrating distinct peaks


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