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Materials Science in Additive Manufacturing                     Intense pulsed light sintering of conductive film



            Table 3. ANOVA results for surface roughness          0.7784B⁴ + 1.51A³B²  − 0.6597A²B³ + 0.6386A⁴B  +
                                                                  2.86A⁵ -3.16A³B³ + 2.70A⁵B + 7.24A⁶
            Source                 F‑value         P‑value
                                                                 where the high levels of the factors are coded as +1 and
            Model                   41.00          <0.0001     the low levels are coded as −1.
            A-Sintering distance    57.09          <0.0001
            B-Print layers          11.86           0.0009       It can be seen from  Figure  8A that  the slope of  the
            AB                      13.17           0.0005     gradient for the sheet resistance over the number of print
                                                               layers increases as the sintering distance becomes larger. It
            A²                      3.48            0.0657     is observed that at lower number of print layers, the effect
            B²                      18.74          < 0.0001    of the sintering distance on the sheet resistance is extremely
            A²B                    0.8409           0.3618     prominent, in which larger sintering distance gives rise to
            AB²                     18.14          < 0.0001    higher sheet resistance. The effect becomes less prominent
            A≥                      30.57          < 0.0001    as the number of print layers increases.
            B≥                      4.53            0.0362       The surface roughness does not scale linearly with the
            A²B²                    23.99          < 0.0001    print layers nor the sintering distance (Figure 8B). A global
            A≥B                    0.0944           0.7594     peak is observed at print layer equal to three and sintering
            AB≥                     23.35          < 0.0001    distance of 60 cm. The surface roughness drops sharply as
            A⁴                      7.85            0.0063     the print layer reduces to 1 or sintering distance approaches
                                                               70 cm. The decrease is less drastic at higher print layers and
            B⁴                      3.61            0.0610     sintering distance lower than 60 cm.
            A≥B²                    15.63           0.0002
                                                                 For high quality sintered film, both the sheet resistance
            A²B≥                    2.69            0.1049     and the surface roughness should be low. From Figure 9A,
            A⁴B                     1.86            0.1762     the sheet resistance is lowest in the region of high numbers
            A⁵                      12.60           0.0006     of print layers and small sintering distance. The surface
            A≥B≥                    17.61          < 0.0001    roughness, on the other hand, is lower at small number of
            A⁵B                     5.58            0.0205     print layers or at sintering distance of 70 cm (Figure 9B).
            A⁶                      7.32            0.0083     The conflicting relationship results in a need to reach a
            Residual                                           compromise between the two parameters.
             Lack of Fit            1.82            0.0569       To identify the optimum condition for high quality
             R²                    0.9121                      sintered film, a desirability function approach was used (Eq.
                                                               2), where the multiple response variables were merged into a
             Adjusted R²           0.8898                      single response function established on a certain metric. In the
             Predicted R²          0.8600                      overall desirability function, the weights of sheet resistance
             Adeq Precision        21.2984                     and surface roughness were initialized with the same value.


                          A                                    B





















                            Figure 5. Normal probability plots of the residuals for (A) sheet resistance and (B) surface roughness.


            Volume 1 Issue 2 (2022)                         8                      http://doi.org/10.18063/msam.v1i2.10
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