Estimation of a Source Term in a Two-dimensional Heat Transfer Problem: Application to an Electron Beam Welding, Theoretical and Experimental Validations

This paper is concerned with the estimation of a heat source applied in the electron beam welding process by using temperature measurements in solid phase. The aim is to identify the energy distribution which is applied in the liquid and vapor zones. This identification is realized each time in a transversal plan perpendicularly to the welding axis. For this work, the goals are, first, to analyze the feasibility of the estimation and, second, to estimate the energy distribution in a real case. The thermometallurgical model does not take into account the convective phenomena in the fused zone. Finally, the iterative regularization method is used for the two-dimensional metallurgical inverse heat transfer problem.