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Materials Science in Additive Manufacturing                 Numerical simulation of plasma WAAM for Ti-6Al-4V




            Table 5. Heat source parameters determined by measurement and simulation
            Process                  Measured values (mm)      Calculated values (mm)       Relative error (%)
                                  2bexp     dexp    φexp     2bsim    dsim     φsim      2 b      d        φ
                                                                                        e r      e r      e r
            Preheating            6.34      1.56    4.06     8.00     3.60     2.22    26.18    42.31    -45.32
            Single bead           8.88      2.68    3.31     8.80      2.4     3.67     -0.90   -10.45   10.88
            Single bead+pre-heating  9.45   3.12    3.03      9.8      4.0     2.45     3.70    28.21    -19.14

            Table 6. Computational time comparison between different   4.2. Thermal boundary conditions
            models
                                                               In this study, the thermal boundary conditions, namely,
            Model          Adaptive   Parallelization  Computational   emissivity ε, convective heat transfer coefficient h , and
                                                                                                         c
                           mesh                  time (h)      contact heat transfer coefficient  a, were assumed to be
                           refinement                          temperature-independent. This simplification is adopted
            Calibration    Yes      Yes            ~ 1         to reduce both experimental effort and computational
            pre-heating                                        complexity.  However,  it  introduces  inherent  limitations
            Calibration single   Yes  Yes          ~ 4         that can affect the accuracy of the thermal model. In
            bead                                               practice, these parameters exhibit strong temperature
            Calibration single   No  Yes           ~ 2         dependence and are affected by the dynamic nature of
            bead+pre-heating                                   the heat transfer during the WAAM process. Accurately
                                                               characterizing their variation over a broad temperature
            calibration techniques for heat source modeling in WAAM.   range  requires  detailed,  process-representative
            To improve heat source accuracy, in-process measurements,   measurements, which are often challenging to obtain
            such as high-speed camera monitoring of the weld pool   experimentally. By assuming these parameters as
            shape, can be incorporated into the calibration procedure.    temperature-independent, this simplification can result
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            A study by Guo et al.  introduced a convolutional neural   in localized discrepancies in the predicted temperature
                             43
            network-based method to identify heat source parameters   fields, particularly in regions with steep thermal
            from the cross-sectional profile of the weld zone, providing a   gradients or changing surface conditions. Given the wide
            novel approach to heat source calibration. Ilani and Banad    temperature range inherent in welding and the plasma-
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            presented  a  data-driven  computational  approach  using   based WAAM process, incorporating temperature-
            Goldak’s semi-ellipsoidal heat source model to predict melt   dependent boundary conditions becomes essential for
            pool geometry in metal AM.                         enhancing model accuracy. Future work should consider
                                                               integrating such formulations. As demonstrated by
              This comparative discussion underscores that while   Tröger  et al.,  the inclusion of temperature-dependent
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            reduced-order, semi-analytical, and geometric models   boundary conditions significantly improves the reliability
            provide advantages in computational efficiency or   of numerical predictions in WAAM simulations.
            design utility, the present study contributes a robust,
            experimentally validated framework capable of supporting   4.3. Multi-layer welding
            in-depth analysis of process-induced thermal and   While the present study focuses on single-track deposition
            structural phenomena in WAAM.
                                                               in plasma-based WAAM, understanding how these
              Structural welding simulations are invaluable for   conditions evolve in multi-layer builds is essential. In multi-
            predicting and optimizing geometric deviations and   layer WAAM processes, previously deposited layers are
            accumulated residual stresses before experimentation.   subsequently remelted and reheated during the deposition
            Depending on the complexity of the models, simulation   of each new layer, resulting in complex thermal cycles that
            times can vary significantly, ranging from a few minutes to   strongly influence both the material’s microstructure and
            several days.  A comparison of the computational times   macrostructure. The macrostructure and microstructure
                      8,45
            used for the models is presented in Table 6. Simulations   are key determinants of the mechanical properties of
            were performed on an eight-core 3.30 GHz i75820K   WAAM-produced  components.   Understanding  these
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            processor with 32 GB of installed random access memory.   remelting effects is crucial when extrapolating single-bead
            All models have been computed using parallelization, that   observations to multi-track, multi-layer components. The
            is, the computation of a simulation is done in parallel using   evolution of the melt pool geometry, thermal gradients,
            multiple central processing unit cores. 46         and cooling rates across successive layers plays a decisive


            Volume 4 Issue 3 (2025)                         11                        doi: 10.36922/MSAM025140021
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