Abstract: A method for estimating a residual stress field in a workpiece. The method includes measuring geometric parameters of the workpiece during machining at which a residual stress field is to be known to determine a geometric profile of said workpiece, estimating, from the geometric profile and an estimation model, subsequent deformations that the workpiece is liable to undergo during further machining, said estimation model being trained by machine learning on training workpieces to use the geometric profile of the workpiece and prerecorded data on the training workpieces to estimate said subsequent deformations of the workpiece, and estimating from the subsequent deformations and a simulation model, the residual stress field in the workpiece, said simulation model being a generic physical model based on simulations defining a variability of the residual stress field in the workpiece as a function of manufacturing parameters of the raw workpiece.