A prior estimation of the temperature field and bead profile can help fabricate dimensionally consistent and structurally sound parts using wire arc directed energy deposition (DED-Arc). We present here a three-dimensional analytical heat transfer model with a volumetric heat source to compute the transient temperature field and melt pool dimensions for DED-Arc. The analytical model considers the thermal conductivity and volumetric heat capacity as a linear function of temperature. In contrast to assuming a pre-defined deposited track profile, the same is scaled from the analytically computed melt pool dimensions into the substrate. The computed deposit profiles of single and multiple tracks and layers are validated extensively with the corresponding experimentally measured results for a range of DED-Arc process conditions.
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