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Materials Science in Additive Manufacturing                           Heterostructures of A131 steel by DED



            TD, and RD  corresponded to the  x-, y-, and z-axes,   Figure  3B displays the XRD patterns of the steels,
            respectively. The entire configuration was box-shaped (43   with similar peak profiles across A131 steels subjected to
            × 11 × 43 nm), packed with two kinds of grains with the   different post-processing treatments. This suggests that the
            same lattice parameter of 2.86 Å. These two types of grains   crystal structure for the primary phase remained largely
            formed a sandwich structure: Fine equiaxed crystals with   unchanged, consisting mainly of the ferrite (α-Fe) and/
            an average diameter of 2.86 nm at the edges, and coarse   or martensite (α´), both of which possessed a BCC crystal
            columnar grains in the center, measuring approximately   structure.  The  α´-phase was preferentially formed in
                                                                       17
            2.86 nm in diameter and 7 nm in length.            the AB A131 steel due to non-equilibrium consolidation
                                                                                                            30
                                                                                     4
                                                                                         6
              The entire system was first thermalized and equilibrated   and rapid cooling rates (10  – 10  K/s) in the melt pool.
            to zero pressure using the isothermal-isobaric ensemble   Subsequent treatments (HT or HR) facilitated the
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            (NPT) under 3D periodic boundary conditions. For the   transformation of the  α´-phase into  α-Fe.  In addition,
            uniaxial tension simulation, all the samples were deformed   the most prominent diffraction peak corresponded
            either along the ND and TD axes at a constant strain rate   to the crystal plane in all bulks, indicating a preferred
            of 1 × 10  s . Periodic boundary conditions were applied   crystallographic orientation, which might contribute to
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                     -1
            along RD. For ND and TD, the tensile direction was set as   anisotropic mechanical performance.
            “periodic,” while the non-loading direction was assigned as   Figure  4  displays  the  3D-reconstructed  optical
            “surface.” In addition, zero normal stress was maintained   microscope (OM) image of the AB bulk microstructure in
            along  RD  during  deformation.  Virial  stresses  in  the   an orthographic view. Figure 4A features the microstructure
            tensile direction were calculated at each strain level. The   of AB A131 steel, revealing minor visible defects, such as
            engineering strain at each time step was calculated as:  holes and unfused particles, further confirming that the
                                                               AB A131 steel was well-consolidated with full density.
            ll−  0                                      (I)    The grain size and grain profile were significantly different
              l                                                along ND and TD, which is due to dendritic growth during

              where l and l  represent the length of the present and   the consolidation of the melt pool. 37,38  In addition, there
                         0
            initial box along the tensile direction, respectively. The   was a significant sandwich structure for the grain size in the
            interaction between individual atoms in the Fe matrix was   TD section, a novel heterogeneous structure was formed
            modeled using a many-body embedded-atom method     layer-by-layer, consisting of  coarse  columnar  grains  and
            based on the interatomic potential, which can be expressed   fine  crystals,  alongside  the laser deposition  direction.
            as:                                                The layer thickness of columnar grains was ~300  µm,
                                                               and fine acicular martensite and equiaxed crystals were
                 1                                             observed, likely resulting from the high cooling rate and
                       r
            E   2  V()    F() i                            thermal  cycles   induced  by  alternating  laser  deposition
             tot
                                                                           30
                       ij
                   ij

             i   r ()                               (II)    layers. Therefore, the imbalanced consolidation provided
                     ij
                ji                                            insufficient kinetics for the phase transformation from
                                                               γ-Fe to α-Fe and pearlite, when promoting the formation
              where  V(r )  is  the  pair  potential,  r   is  the  atomic   of fine martensite.  In addition, the thermal cycle offered
                                                                             39
                       ij
                                             ij
            separation between j and i, F is the embedded energy as a   necessary  thermodynamic  advantages  for  the  grain
            function of  ρ , and  ρ()r  is the atomic function.  growth of fine crystals alongside ND, where a sandwich-
                               ij
                       i
                                                               heterostructure was formed, consisting of columnar grains
            3. Results                                         and fine crystals. This heterostructure contributed to the
            3.1. Phase configuration and microstructure        anisotropy in grain orientation, consistent with the XRD
                                                               results, and eventually induced variations in mechanical
            Figure 3A displays the measured density and the relative   performance.
            density for the AB samples and control group, with
            the corresponding data summarized in  Table S2. The   Following tempering,  Figure  4B displays the
            measured density of all the steel bulks exceeded 7.7 g/cm    microstructure of HT A131 steel, with significant
                                                          3
            with minor variation, and the values of the AB steels were   variations observed for grain sizes and crystal profiles.
            slightly higher than those of the control group. Compared   The sandwich heterostructure was visible but disappeared
            to the theoretical density of A131 steel (7.85 g/cm ), all the   when the grain size increased. The microstructure
                                                   3
            relative densities were above 98%, illustrating that both   of HT A131 steel consisted of equiaxed grains with a
            AB and HT steels were well-consolidated with minimal   typical ferrite-pearlite structure, indicating negligible
            defects.                                           variation in grain profiles alongside ND and TD. This
            Volume 4 Issue 3 (2025)                         5                         doi: 10.36922/MSAM025220038
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