Determination of line heating conditions for plate forming using the strain directed boundary method based on deformation superposition

This study proposes a method to determine the location, magnitude, and sequence of line heating to form a target shape using the strain directed as boundary (SDB) method. The analysis model was constructed by considering the phase transformation caused by line heating. The results of the analytical model were compared with the experimental results. The deformation at an arbitrary heating location and heating magnitude was calculated using a verified model. The locations and magnitudes were determined by optimization. The deformation reflecting the optimization result confirmed an error of 5.91 % compared to the experimental results. The scale factor for the optimal heating sequence was determined via optimization by line heating sequence. The deformations caused by the heating sequence of the concave and saddle shapes confirmed errors of 7.04 % and 8.59 %, respectively. The proposed method provides guidelines for heat forming.